% Encoding: windows-1252
@Article{Osterreicher1996,
Title = {On a class of perimeter-type distances of probability distributions},
Author = {F. {\"O}sterreicher},
Journal = {Kybernetika},
Year = {1996},
Pages = {389-393},
Volume = {32}
}
@Article{Osterreicher2003,
Title = {A new class of metric divergences on probability spaces and and its statisticalapplications},
Author = {F. {\"O}sterreicher and I. Vajda},
Journal = {Ann. Inst. Statist. Math.},
Year = {2003},
Pages = {639-653},
Volume = {55}
}
@Article{Osterreicher1993,
Title = {Statistical Information and Discrimination},
Author = {F. {\"O}sterreicher and I. Vajda},
Journal = {IEEE Trans. Inform. Theory},
Year = {1993},
Number = {3},
Pages = {1036-1039},
Volume = {39}
}
@Book{Ohrstrom1989,
Title = {Tidslogik Og Kunstig Intelligens},
Author = {P. {\O}hrstr{\o}m},
Publisher = {Aalborg Universitetsforlag},
Year = {1989},
Address = {Aalborg}
}
@Book{Cencov1972,
Title = {Statistical decision rules and optimal inference.},
Author = {N. N. {\v C}encov},
Publisher = {Nauka},
Year = {1972},
Address = {Moscow},
Note = {In russian, translation in "Translations of Mathematical Monographs", 53.AmericanMathematicalSociety, 1982.}
}
@Article{Cencov1968,
author = {N. N. {\v C}encov},
title = {A nonsymmetric distance between probability distributions, entropy and the{P}ythagorean theorem},
journal = {Math. Zametki},
year = {1968},
volume = {4},
pages = {323-332},
note = {(in {R}ussian)},
}
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Title = {Necessity of $q$-expectation value in nonextensive statistical pmechanics},
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Journal = {Physical Review E},
Year = {2005},
Pages = {016139,1-5},
Volume = {71}
}
@InBook{Acharyya2013,
Title = {Bregman Divergences and Triangle Inequality},
Author = {S. Acharyya and A. Banerjee and D. Boley},
Chapter = {52},
Pages = {476-484},
Year = {2013},
Booktitle = {Proceedings of the 2013 SIAM International Conference on Data Mining},
Doi = {10.1137/1.9781611972832.53},
Eprint = {http://epubs.siam.org/doi/pdf/10.1137/1.9781611972832.53},
Url = {http://epubs.siam.org/doi/abs/10.1137/1.9781611972832.53}
}
@Book{Aczel1975,
Title = {On Measures of Information and Their Characterizations},
Author = {J. Acz{\'e}l and Z. Dar{\'o}czy},
Publisher = {Academic Press},
Year = {1975},
Owner = {Peter Harremoes},
Timestamp = {2010.09.11}
}
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Title = {On minimax estimation in presence of side information about remote data},
Author = {R. Ahlswede and M. Burnashev},
Journal = {Ann. Statist.},
Year = {1990},
Pages = {141-171},
Volume = {18},
Owner = {ph},
Timestamp = {2007.02.18}
}
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Title = {Network Information Flow},
Author = {R. Ahlswede and N. Cai and S.-Y. R. Li and R. W. Yeung},
Journal = {IEEE Trans. Inform. Theory},
Year = {2000},
Pages = {1204-1216},
Volume = {IT-46}
}
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Title = {Hypothesis testing with communication constraints},
Author = {R. Ahlswede and I. Csisz{\'a}r},
Journal = {IEEE Trans. Inform. Theory},
Year = {1986},
Pages = {533-542},
Volume = {32},
Owner = {ph},
Timestamp = {2007.02.18}
}
@Article{Ahlswede1976,
Title = {Bounds on conditional probabilities with applications in multiuser communication},
Author = {R. Ahlswede and P. G{\'a}cs and J. K{\"o}rner},
Journal = {Z. Wahrscheinlichkeitsth. verw. Gebiete},
Year = {1976},
Pages = {157-177},
Volume = {34},
Owner = {ph},
Timestamp = {2007.02.18}
}
@Book{Ahlswede1977,
Title = {On the connection between the entropies of input and output distributions of discrete memoryless channels},
Author = {R. Ahlswede and J. K{\"o}rner},
Editor = {Editura Academiei Republicii Socialiste Romania},
Publisher = {Proceedings of the Fifth Conference on Probability Theory, 1974, Brasov, Romania},
Year = {1977},
Address = {Bucuresti},
Edition = {13-22},
Month = {The Centra of Mathematical Statistics of the Ministry of Education},
Series = {B. Bereanu and M. Iosifescu and G. Popescu}
}
@Book{Ahlswede1987,
Title = {Search Problems},
Author = {R. Ahlswede and I. Wegener},
Publisher = {Wiley},
Year = {1987},
Address = {Chichester, U.K.},
Note = {German original by Teubner, 1979}
}
@Article{Ahlswede1990a,
Title = {Extremal Properties of Rate-Distortion Functions},
Author = {R. F. Ahlswede},
Journal = {IEEE. Trans. Inform. Theory},
Year = {1990},
Pages = {166-171},
Volume = {36},
Owner = {ph},
Timestamp = {2008.12.30}
}
@Misc{Alberti2008,
Title = {Order Structure (Majorization) and Irreversible Processes},
Author = {P. M. Alberti and B. Crell and A. Uhlmann and C. Zylka},
HowPublished = {Scientific Commons},
Year = {2008},
Doi = {10.1.1.127.8295},
Journal = {ScientificCommons},
Owner = {Peter Harremoes},
Timestamp = {2010.04.17},
Url = {http://www.scientificcommons.org/42516017}
}
@Article{Aldous1987,
Title = {Strong Uniform Times and Finite Random Walks},
Author = {David Aldous and Persi Diaconis},
Journal = {Advances in Applied Mathematics},
Year = {1987},
Pages = {69--97},
Volume = {8}
}
@Article{Alfers1984,
Title = {A normal approximation for Beta and Gamma tail probabilities},
Author = {D. Alfers and H. Dinges},
Journal = {Z. Wahrscheinlichkeitstheory verw. Geb.},
Year = {1984},
Number = {3},
Pages = {399-420},
Volume = {65},
Doi = {10.1007/BF00533744},
Owner = {peth},
Timestamp = {2016.01.19}
}
@Article{Algoet1988,
Title = {A Sandwich Proof of the {S}hannon-{McMillan}-{B}reiman Theorem},
Author = {P. H Algoet and T. M. Cover},
Journal = {Ann. Probab.},
Year = {1988},
Pages = {899-909},
Volume = {16}
}
@Article{Ali1966,
Title = {A General Class of Coefficients of Divergence of One Distribution from Another},
Author = {S. M. Ali and S. D. Silvey},
Journal = {J. Roy. Statist. Soc. Ser B},
Year = {1966},
Pages = {131-142},
Volume = {28}
}
@Book{Alling1987,
Title = {Foundations of Analysis over Surreal Number Fields},
Author = {N. L. Alling},
Editor = {L. Nachbin},
Publisher = {Elsevier},
Year = {1987},
Address = {Amsterdam},
Series = {North-Holland Mathematicsl Studies},
Volume = {141},
Owner = {ph},
Timestamp = {2009.01.30}
}
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Title = {Information Geometry of statistical inference - an overview},
Author = {S. Amari},
Booktitle = {Proceedings of 2002 IEEE Information Theory Workshop, Bangalore},
Year = {2002},
Pages = {86--89}
}
@Article{Amari2001,
Title = {Information Geometry on Hierarchy of Probability Distributions},
Author = {S.I. Amari},
Journal = {IEEE Trans. Inform. Theory},
Year = {2001},
Pages = {1701-1711},
Volume = {47}
}
@Book{Amari1985,
Title = {Differential-Geometrical Methods in Statistic},
Author = {S. Amari},
Publisher = {Springer},
Year = {1985},
Address = {New York}
}
@Book{Amari2000,
Title = {Methods of Information Geometry},
Author = {S. Amari and H Nagaoka},
Publisher = {Oxford University Press},
Year = {2000},
Series = {Translations of Mathematical monographs},
Volume = {191}
}
@InProceedings{Armstrong1974,
Title = {Dependency Structures of Data Base Relationships},
Author = {W. W. Armstrong},
Booktitle = {IFIP Congress},
Year = {1974},
Pages = {580-583},
Owner = {Ejer},
Timestamp = {2015.01.13}
}
@Article{Avann1968,
Title = {Locally atomic upper locally distributive lattices},
Author = {S. P. Avann},
Journal = {Mat. Annalen},
Year = {1968},
Pages = {320-336},
Owner = {Ejer},
Timestamp = {2014.09.10}
}
@Article{Babenko1962,
Title = {An Inequality in the theory of {F}ourier integrals},
Author = {K.I. Babenko},
Journal = {Amer. Math. Soc. Transl.},
Year = {1962},
Note = {Ser. 2},
Pages = {115-128},
Volume = {44},
Owner = {ph},
Timestamp = {2008.02.27}
}
@InProceedings{Baer2006,
author = {M. B. Baer},
title = {R{\'e}nyi to {R}{\'e}nyi -- Source Coding under Siege},
booktitle = {2006 IEEE International Symposium on Information Theory},
year = {2006},
url = {http://www.citebase.org/abstract?id=oai:arXiv.org:cs/0602067},
}
@Unpublished{Bagci2007,
Title = {The physical meaning of {R}{\'e}nyi relative entropies},
Author = {G. B. Bagci},
Note = {unpublished},
Year = {2007},
Url = {arXiv:cond-mat/0703008v1}
}
@Book{Bahadur1981,
Title = {Some Limit Theorems in Statistics},
Author = {R. R. Bahadur},
Publisher = {SIAM},
Year = {1981},
Address = {Philadelphia}
}
@Article{Bahadur1960,
Title = {Some approximations to the binomial distribution function},
Author = {R. R. Bahadur},
Journal = {Annals of mathematical statistics},
Year = {1960},
Pages = {43-54},
Volume = {31},
Owner = {Peter Harremoes},
Timestamp = {2012.01.07}
}
@Article{Bahadur1960a,
Title = {On deviation of the sample mean},
Author = {R. R. Bahadur and R. R. Rao},
Journal = {Annals of Mathematical Statistics},
Year = {1960},
Month = {Dec.},
Number = {4},
Pages = {1015-1027},
Volume = {31},
Doi = {10.1214/aoms/1177705674},
Owner = {Peter Harremoes},
Timestamp = {2012.01.07},
Url = {http://dx.doi.org/10.1214/aoms/1177705674}
}
@PhdThesis{Baker1961,
Title = {Honors thesis},
Author = {K. A. Baker},
School = {Harvard College},
Year = {1961},
Note = {Unpublished},
Owner = {Ejer},
Timestamp = {2015.01.09}
}
@InBook{Bakry1985,
Title = {Diffusions hypercontractives},
Author = {D. Bakry and M. Emery},
Pages = {179-206},
Publisher = {Springer},
Year = {1985},
Series = {Lect. Notes in Math.},
Volume = {1123},
Booktitle = {S{\'e}minaire de Probabilit{\'e}s}
}
@Article{Ball2003,
Title = {Entropy jumps in the presence of a spectral gap},
Author = {K. Ball and F. Barthe and Assaf Naor},
Journal = {Duke Math. J},
Year = {2003},
Number = {1},
Pages = {41-63},
Volume = {119}
}
@Article{Banerjee2005,
author = {Arindam Banerjee and Srujana Merugu and Inderjit S. Dhillon and Joydeep Ghosh},
title = {Clustering with {B}regman Divergences},
journal = {Journal of Machine Learning Research},
year = {2005},
volume = {6},
pages = {1705-1749},
url = {https://doi.org/10.1137/1.9781611972740.22},
owner = {ph},
timestamp = {2007.01.04},
}
@Article{Barbour1984,
Title = {On the rate of {P}oisson convergence},
Author = {A. D. Barbour and P. Hall},
Journal = {Math. Proc. Cambridge Philos. Soc.},
Year = {1984},
Number = {3},
Pages = {473 - 480},
Volume = {95}
}
@Book{Barbour1992,
Title = {Poisson Approximation},
Author = {A. D. Barbour and L. Holst and S. Janson},
Publisher = {Clarendon Press},
Year = {1992},
Address = {Oxford},
Series = {Oxford Studies in Probability 2}
}
@Book{Barfod1995,
Title = {50 udvalgte Ruter P{\aa} Bornholm},
Author = {Jakob Barfod and Peter Harremo{\"e}s},
Publisher = {Dansk Bjergklub},
Year = {1995},
Address = {K{\o}benhavn},
Note = {ISBN 87-985058-1-5},
Owner = {ph},
Timestamp = {2007.01.16}
}
@Article{Bar-Lev2010,
Title = {Jeffreys vs. {S}htarkov Distributions Asssociated with some Natural Exponential Families},
Author = {S. K. Bar-Lev and D. Bshounty and P. Gr\"unwald and P. Harremo{\"e}s},
Journal = {Statistical Methodology},
Year = {2010},
Pages = {638-643},
Volume = {7},
Doi = {10.1016/j.stamet.2010.06.001},
Owner = {ph},
Timestamp = {2009.09.24},
Url = {www.harremoes.dk/Peter/STAMET264.pdf}
}
@Book{Barndorff-Nielsen1978,
Title = {Information and Exponential Families in Statistical Theory},
Author = {Ole Barndorff-Nielsen},
Publisher = {John Wiley},
Year = {1978},
Address = {New York},
Journal = {Communications and Systems}
}
@Book{Barndorff-Nielsen1973,
Title = {Exponential Families and Conditioning},
Author = {O. Barndorff-Nielsen},
Publisher = {Wiley},
Year = {1973}
}
@Article{Barndorff-Nielsen1990,
Title = {A Note on the Standardized Signed Log Likelihood Ratio},
Author = {O. E. Barndorff-Nielsen},
Journal = {Scandinavian Journal of Statistics},
Year = {1990},
Number = {2},
Pages = {157-160},
Volume = {17},
Abstract = {In an earlier paper a modified form $r^{\ast}=r-r^{-1}$ log(r/u) of the signed log likelihood ratio statistic r for a one-dimensional parameter was proved to be asymptotically normal with error O(n-3/2). Here a simpler and more direct derivation of this result is presented. The new approach has the added advantage of giving a better and more explicit handle on the error term.},
ISSN = {03036898, 14679469},
Publisher = {[Board of the Foundation of the Scandinavian Journal of Statistics, Wiley]},
Url = {http://www.jstor.org/stable/4616163}
}
@Book{Barndorff-Nielsen1994,
Title = {Inference and asymptotics},
Author = {O. E. Barndorff-Nielsen and D. R. Cox},
Publisher = {Chapman and Hall},
Year = {1994},
Owner = {Peter Harremoes},
Timestamp = {2012.05.04}
}
@Article{Barndorff-Nielsen1988,
Title = {On the level-error after {B}artlett adjustment of the likelihood-ratio statistic},
Author = {O. E. Barndorff-Nielsen and P. Hall},
Journal = {Biometrika},
Year = {1988},
Number = {2},
Pages = {374-378},
Volume = {75},
Owner = {Peter Harremoes},
Timestamp = {2012.05.03}
}
@InProceedings{Barron1991,
Title = {Information Theory and Martingales},
Author = {A. Barron},
Booktitle = {Proceedings International Symposium on Information Theory, Budapest 1991},
Year = {1991},
Owner = {vmware},
Timestamp = {2006.11.16}
}
@PhdThesis{Barron1985,
Title = {Logically smooth density estimation},
Author = {A. Barron},
School = {Stanford},
Year = {1985},
Type = {Ph.D. Thesis}
}
@InProceedings{Barron2000,
Title = {Limits of Information, {M}arkov Chains, and Projections},
Author = {A. R. Barron},
Booktitle = {Proceedings 2000 International Symposium on Information Theory},
Year = {2000},
Pages = {25}
}
@Article{Barron1989,
Title = {Uniformly powerful goodness of fit tests},
Author = {A. R. Barron},
Journal = {Ann. Statist.},
Year = {1989},
Pages = {107-124},
Volume = {17},
Owner = {ph},
Timestamp = {2008.03.20}
}
@Article{Barron1986,
Title = {Entropy and the Central Limit Theorem},
Author = {A. R. Barron},
Journal = {Annals Probab. Theory},
Year = {1986},
Number = {1},
Pages = {336 - 342},
Volume = {14}
}
@Article{Barron1985a,
Title = {The strong ergodic theorem for densities: Generalized {S}hannon-{McM}illan-{B}reimantheorem},
Author = {A. R. Barron},
Journal = {Ann. Probab.},
Year = {1985},
Pages = {1292-1303},
Volume = {13}
}
@Article{Barron1992,
Title = {Distribution estimates consistent in total variation and in two types of information divergence},
Author = {A. R. Barron and L. Gy{\"o}rfi and E. C. van der Meulen},
Journal = {IEEE Trans. Inform. Theory},
Year = {1992},
Month = {Sept.},
Number = {9},
Pages = {1437-1454},
Volume = {38},
Owner = {ph},
Timestamp = {2008.03.26}
}
@Article{Barron1998,
Title = {The Minimum Description Length Principle in Coding and Modeling},
Author = {A. R. Barron and J. Rissanen and B. Yu},
Journal = {IEEE Trans. Inform. Theory},
Year = {1998},
Month = {Oct.},
Note = {Commemorative issue},
Number = {6},
Pages = {2743-2760},
Volume = {44}
}
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Title = {A note on simultaneous polar and {C}artesian decomposition},
Author = {F. Barthe and M. Csornyei and A. Naor},
Pages = {1-19},
Publisher = {Springer},
Year = {2003},
Series = {Springer Notes in Mathematics},
Volume = {1807}
}
@InProceedings{Bartlett2013,
Title = {Horizon-Independent Optimal Prediction with Log-Loss in Exponential Families},
Author = {P. Bartlett and P. Gr{\"u}nwald and P. Harremo{\"e}s and F. Hedayati and W. Kotlowski},
Booktitle = {Conference on Learning Theory (COLT 2013)},
Year = {2013},
Month = {12-14 June},
Pages = {23},
Owner = {Peter},
Timestamp = {2014.01.05},
Url = {http://arxiv.org/abs/1305.4324}
}
@Book{Batschelet1981,
Title = {Circular Statistics in Biology},
Author = {E. Batschelet},
Publisher = {Academic Press},
Year = {1981},
Series = {Mathematics in Biology},
Owner = {ph},
Timestamp = {2008.05.07}
}
@Article{Bayer1973,
Title = {Quantum States with Maximum Information Entropy {I} and {II}},
Author = {W. Bayer and W. Ochs},
Journal = {Zeitschrift f{\"u}r Naturforschung},
Year = {1973},
Pages = {693-701 and 1571-1585},
Volume = {28a}
}
@Article{Beckner1975,
Title = {Inequalities in Fourier analysis},
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Journal = {Ann. of Math.},
Year = {1975},
Pages = {159-182},
Volume = {102},
Owner = {ph},
Timestamp = {2008.02.27}
}
@Article{Behrendt1991,
Title = {Representations of locally Distributive Lattice},
Author = {G. Behrendt},
Journal = {Portugaliae Mathematica},
Year = {1991},
Number = {3},
Pages = {351-355},
Volume = {48},
Owner = {Ejer},
Timestamp = {2014.09.10}
}
@Article{Beirlant2001,
Title = {Large deviations of divergence measures on partitions},
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Year = {2001},
Pages = {1-16},
Volume = {93}
}
@Article{Beirlant1997,
Title = {Nonparametric Entropy Estimation: An overview},
Author = {J. Beirlant and E. j. Dudewicz and L. Gy{\"o}rfi and E. C. van der Meulen},
Journal = {Intern. J. Math. Stat. Sci.},
Year = {1997},
Month = {June},
Number = {1},
Pages = {17 - 39},
Volume = {6}
}
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Title = {Entropy content and information flow in systems with limited energy},
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Journal = {Phyical Review D},
Year = {1984},
Month = {15},
Number = {8},
Pages = {1669--1679},
Volume = {30}
}
@Article{Bekenstein1981,
Title = {Universal upper bound on entropy-to-energy ratio for bounded systems},
Author = {J. D. Bekenstein},
Journal = {Phys. Rev. D},
Year = {1981},
Number = {23},
Pages = {287--298},
Volume = {2}
}
@Article{Bell1982,
Title = {Regret in decision making under uncertainty},
Author = {D. E. Bell},
Journal = {Operations research},
Year = {1982},
Number = {5},
Pages = {961-981},
Volume = {30}
}
@Article{Bell1964,
Title = {On the {E}instein-{P}odolsky-{R}osen Paradox},
Author = {J. S. Bell},
Journal = {Physics},
Year = {1964},
Note = {Reprinted in Wheeler \& Zurek (1983)},
Pages = {195-200},
Volume = {1},
Booktitle = {Physics}
}
@Article{Bellini2002,
Title = {On the Existence of Minimax Martingale Measures},
Author = {F. Bellini and M. Frittelli},
Journal = {Mathematical Finance},
Year = {2002},
Pages = {1-21},
Volume = {12}
}
@Article{Ben-Bassat1978,
Title = {$f$-Entropies, Probability of Error, and Feature Selection},
Author = {M. Ben-Bassat},
Journal = {Information and Control},
Year = {1978},
Pages = {227-242},
Volume = {39}
}
@Article{Ben-Bessat1978,
Title = {R{\'e}nyi's entropy and the probability of error},
Author = {M. Ben-Bessat and J. Raviv},
Journal = {IEEE Trans Inform. Theory},
Year = {1978},
Pages = {324-331},
Volume = {24}
}
@Book{Bennett2003,
Title = {A Philosophical Guide to Conditionals},
Author = {Jonathan Bennett},
Publisher = {Oxford University Press},
Year = {2003},
Owner = {ph},
Timestamp = {2007.01.31}
}
@Article{Berend2014,
Title = {Minimum {KL}-Divergence on Complements of $L_1$ Balls},
Author = {D. Berend and P. Harremo{\"e}s and A. Kontorovich},
Journal = {IEEE Trans Inform. Theory},
Year = {2014},
Month = {June},
Number = {6},
Pages = {3172-3177},
Volume = {60},
Doi = {10.1109/TIT.2014.2301446},
Owner = {Peter},
Timestamp = {2014.01.05},
Url = {http://arxiv.org/abs/1206.6544}
}
@Book{Berg2004,
Title = {Markov Chain {M}onte {C}arlo Simulations and Their Statistical Analysis},
Author = {B. B. Berg},
Publisher = {World Scientific},
Year = {2004},
Owner = {ph},
Timestamp = {2007.09.11}
}
@Book{Berg1984,
Title = {Harmonic Analysis on Semigroups},
Author = {C. Berg and J. P. R. Christensen and P. Ressel},
Publisher = {Springer-Verlag},
Year = {1984},
Address = {New York}
}
@Book{Berger1985,
Title = {Statistical Decision Theory and {B}ayesian Analysis},
Author = {J. Berger},
Publisher = {Springer-Verlag},
Year = {1985},
Address = {New York},
Edition = {revised and expanded 2nd edition},
Series = {Springer Series in Statistics},
Owner = {ph},
Timestamp = {2009.09.10}
}
@Book{Berger1971,
Title = {Rate Distortion Theory: A Mathematical Basis for Data Compression},
Author = {T. Berger},
Publisher = {Prentice-Hall},
Year = {1971},
Address = {Englewood, NJ}
}
@Article{Berger1971a,
Title = {The Source Coding Game},
Author = {T. Berger},
Journal = {IEEE Trans. Inform. Theory},
Year = {1971},
Month = {Jan.},
Number = {1},
Pages = {71-76},
Volume = {17}
}
@Book{Berlekamp1996,
Title = {Generalized Thermography: Algorithms, Implementation, and Application to Go Endgames},
Author = {E. Berlekamp and M. M{\"u}ller and B. Spight},
Publisher = {International Computer Science Institute},
Year = {1996},
Address = {Berkeley, CA},
Note = {TR-96-030},
Owner = {ph},
Timestamp = {2009.01.30}
}
@InCollection{Berlekamp1991,
Title = {Introductory Overview of Mathematical Go Endgames},
Author = {E. R. Berlekamp},
Booktitle = {Combinatorial Games},
Publisher = {American mathematical Society},
Year = {1991},
Editor = {R. K. Guy},
Pages = {73-100},
Series = {Proceedings in Applied Mathematics},
Type = {AMS short course lecture notes},
Volume = {43},
Owner = {ph},
Timestamp = {2009.02.11}
}
@Book{Berlekamp1982,
Title = {Winning Ways of your mathematical plays},
Author = {E. R. Berlekamp and J. H Conway and R. K. Guy},
Publisher = {Academic Press},
Year = {1982},
Volume = {1: Games in General},
Owner = {ph},
Timestamp = {2009.01.30}
}
@Article{Bhatt2009,
Title = {A characterization of neutral elements by the exclusion of sublattices},
Author = {S. Parameshwara Bhatta},
Journal = {Discrete Mathematics},
Year = {2009},
Pages = {1691-1702},
Volume = {309},
Owner = {Ejer},
Timestamp = {2015.03.21}
}
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Publisher = {MIT Press},
Year = {2007},
Owner = {ph},
Timestamp = {2008.01.06}
}
@InProceedings{Grunwald2009a,
Title = {Regret and {J}effreys Integrals in Exp. Families},
Author = {P. Gr{\"u}nwald and P. Harremo{\"e}s},
Booktitle = {thirtieth Symposium in Information Theory in the Benelux},
Year = {2009},
Address = {Eindhoven},
Editor = {T. Tjalkens and F. Willems},
Organization = {Werkgemeenschap voor Informatie- en Communicatietheorie},
Pages = {143},
File = {:http\://www.harremoes.dk/Peter/WIC.pdf:PDF},
Owner = {ph},
Timestamp = {2009.03.18},
Url = {http://arxiv.org/abs/0903.5399}
}
@InProceedings{Grunwald2009,
Title = {Finiteness of Redundancy, Regret, {S}htarkov Sums, and {J}effreys Integrals in Exponential Families},
Author = {P. Gr{\"u}nwald and P. Harremo{\"e}s},
Booktitle = {Proceedings for the International Symposium for Information Theory, Seoul, 2009},
Year = {2009},
Month = {June},
Organization = {IEEE},
Pages = {714-718},
Owner = {ph},
Timestamp = {2009.03.18},
Url = {http://www.harremoes.dk/Peter/subm2009f.pdf}
}
@InCollection{Grunwald2004,
Title = {A Tutorial Introduction to the Minimum Description Length Principle},
Author = {P. D. Gr{\"u}nwald},
Booktitle = {Advances in {M}inimum {D}escription {L}ength: Theory and Applications},
Publisher = {MIT Press},
Year = {2004},
Address = {Bosten},
Editor = {Gr{\"u}nwald, Myung and Pitt},
Note = {to appear}
}
@Article{Grunwald2004a,
Title = {Game Theory, Maximum Entropy, Minimum Discrepancy, and Robust {B}ayesian Decision Theory},
Author = {P. D. Gr{\"u}nwald and A. P. Dawid},
Journal = {{A}nnals of {M}athematical {S}tatistics},
Year = {2004},
Number = {4},
Pages = {1367-1433},
Volume = {32}
}
@Article{Grunwald2003,
Title = {Updating Probabilities},
Author = {Peter D. Gr{\"u}nwald and Joseph Y. Halpern},
Journal = {J. Artifical Intelligence Research},
Year = {2003},
Pages = {243-278},
Volume = {19},
Owner = {ph},
Timestamp = {2007.02.03}
}
@Article{Grandits2002,
Title = {On the minimal entropy martingale measure},
Author = {P. Grandits and T. Rheinl{\"a}nder},
Journal = {Ann. Probab.},
Year = {2002},
Pages = {1003-1038},
Volume = {30}
}
@Book{Grauert1974,
Title = {Einf{\"u}hrung in Die {F}unktionstheorie Mehrere {V}er{\"a}ndelicher},
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Publisher = {Springer-Verlag},
Year = {1974},
Address = {Berlin Heidelberg}
}
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Author = {S. P. Gudder},
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Year = {1979},
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Month = {April},
Number = {4},
Pages = {1849-1864},
Volume = {57},
Doi = {10.1109/TIT.2011.2111890},
ISSN = {0018-9448},
Keywords = {entropy codes;linear codes;linear programming;matrix algebra;network coding;set theory;source coding;Ingleton inequality constraint;entropy function;linear code;linear programming;linear subspace;minimal set;multisource network coding;random variable;representable matroids;Context;Cramer-Rao bounds;Entropy;Network coding;Random variables;Vectors;Entropy functions;Ingleton inequalities;Shannon inequalities}
}
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Title = {The Entropy Theory of Stock Option Pricing},
Author = {Les Gulko},
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Pages = {331-355},
Volume = {2}
}
@Book{Gullberg1997,
Title = {Mathematics, From Birth of Numbers},
Author = {Jan Gullberg},
Publisher = {Norton \& Co.},
Year = {1997},
Owner = {Peter Harremoes},
Timestamp = {2012.04.01}
}
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Title = {Mutual Information and Minimum Mean-Square Error in {G}aussian Channels},
Author = {D. Guo and S. Shamai and S. Verd{\'u}},
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Year = {2005},
Month = {April},
Pages = {1261-1283},
Volume = {51}
}
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Title = {Testing for {P}oissonity-normality vs. other infinite divisibility},
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Year = {1994},
Pages = {245-248},
Volume = {19}
}
@Electronic{Gyorfi2012,
author = {L. Gy{\"o}rfi and P. Harremo{\"e}s and G. Tusn{\'a}dy},
title = {Gaussian Approximation of Large Deviation Probabilities},
year = {2012},
url = {http://www.harremoes.dk/Peter/ITWGauss.pdf},
howpublished = {http://www.harremoes.dk/Peter/ITWGauss.pdf},
owner = {Peter Harremoes},
timestamp = {2012.04.17},
}
@WWW{Gyoerfi2012a,
author = {L. Gy{\"o}rfi and P. Harremo{\"e}s and T. Tusn{\'a}dy},
title = {Some Refinements of Large Deviation Tail Probabilities},
year = {2012},
url = {http://arxiv.org/pdf/1205.1005v1.pdf},
note = {arXiv: 1205.1005},
month = {May},
owner = {Peter Harremoes},
timestamp = {2012.06.14},
}
@InProceedings{Gyorfi2000,
Title = {Information-theoretic methods in testing the goodness-of-fit},
Author = {L. Gy{\"o}rfi and G. Morvai and I. Vajda},
Booktitle = {Proc. International Symposium on Information Theory, Sorrento, Italy, June25-30},
Year = {2000},
Pages = {28}
}
@TechReport{Gyorfi2000a,
Title = {Asymptotic results for information-theoretic and statistical criteria ofgoodness of fit},
Author = {L. Gy{\"o}rfi and G. Morvai and I. Vajda},
Institution = {Institute of Information Theory and Automation},
Year = {1999},
Address = {Prague},
Month = {Dec.},
Number = {1961},
Type = {Res. Rep.},
Owner = {ph},
Timestamp = {2007.02.28}
}
@Article{Gyorfi2002,
Title = {Asymptotic distributions for goodness-of-fit statistics in a sequence of multinomial models},
Author = {L. Gy{\"o}rfi and I. Vajda},
Journal = {Stat. Probab. Letters},
Year = {2002},
Number = {1},
Pages = {57-67},
Volume = {56}
}
@Article{Gyorfi2001,
Title = {A class of modified {P}earson and {N}eyman statistics},
Author = {L. Gy{\"o}rfi and I. Vajda},
Journal = {Statistics and Decisions},
Year = {2001},
Pages = {239-251},
Volume = {19}
}
@Article{Gyorgy2000,
Title = {Optimal entropy-constrained scalar quantization of a uniform source},
Author = {A. Gy{\"o}rgy and T. Linder},
Journal = {IEEE Trans. Inform. Theory},
Year = {2000},
Month = {Nov.},
Number = {7},
Pages = {2704-2711},
Volume = {IT-46}
}
@Article{Hajek1958,
Title = {On a Property of Normal Distributions of any Stochastic Process},
Author = {Jaroslav H{\'a}jek},
Journal = {Czechoslovak Mathematical Journal},
Year = {1958},
Note = {In Russian with English summary.},
Number = {4},
Pages = {610--618},
Volume = {8}
}
@Article{Hajek1958a,
Title = {A property of {J}-divergence of marginal probability distributions},
Author = {J. H{\'a}jek},
Journal = {Czechoslovak Math. J.},
Year = {1958},
Pages = {460-463},
Volume = {8}
}
@Book{Hormander1994,
Title = {Notions of Convexity},
Author = {L. H{\"o}rmander},
Publisher = {Birkh{\"a}user},
Year = {1994},
Address = {Boston}
}
@Article{Haar1933,
Title = {Der {M}assbegriff in der {T}heorie der kontinuierlichen {G}ruppen},
Author = {A. Haar},
Journal = {Ann. Math.},
Year = {1933},
Volume = {34},
Owner = {ph},
Timestamp = {2008.12.30}
}
@Book{Hacking1975,
Title = {The Emergence of Probability},
Author = {I. Hacking},
Publisher = {Cambridge University Press},
Year = {1975},
Address = {Cambridge}
}
@Article{Halliwell2004,
Title = {A refinement of an inequality from information theory},
Author = {G. T. Halliwell and P. R. Mercer},
Journal = {J. Ineq. Pure and Appl. Math.},
Year = {2004},
Number = {1},
Pages = {Article 3, 1-3},
Volume = {5}
}
@Book{Halmos1950,
Title = {Measure Theory},
Author = {P. Halmos},
Publisher = {D. van Nostrand and Co.},
Year = {1950},
Owner = {ph},
Timestamp = {2008.12.30}
}
@Article{Halsey1986,
Title = {Fractal measures and their singularities: The characterization of strangesets},
Author = {T. C. Halsey and M. H. Jensen and L. P. Kadanoff and I. Procaccia and B.I.Shraiman},
Journal = {Phys. Rev. A},
Year = {1986},
Month = {Feb.},
Number = {2},
Pages = {1141-1151},
Volume = {33},
Doi = {10.1103/PhysRevA.33.1141},
Owner = {ph},
Publisher = {American Physical Society},
Timestamp = {2008.02.27}
}
@TechReport{Hampel1999,
Title = {A Sketch of a unifying Statistical Theory},
Author = {F. Hampel},
Institution = {Eidgen{\"o}ssische Technische Hochschule (ETH)},
Year = {1999},
Address = {Z{\"u}rich, Schweiz},
Month = {Feb.},
Number = {86},
Type = {Research Report}
}
@TechReport{Hampel1998,
Title = {On the Foundation of Statistics: A Frequentist Approach},
Author = {F. Hampel},
Institution = {Eidgen{\"o}ssische Technische Hochschule (ETH)},
Year = {1998},
Address = {Z{\"u}rich, Schweiz},
Month = {June},
Number = {85},
Type = {Research Report}
}
@Article{Hamza1995,
Title = {The smallest uniform upper bound on the distance between the mean and the median of the binomial and {P}oisson distributions},
Author = {K. Hamza},
Journal = {Statistics and Probability Letters},
Year = {1995},
Pages = {21-25},
Volume = {23},
Owner = {Peter Harremoes},
Timestamp = {2012.01.21}
}
@Article{Han1995,
Title = {Parameter estimation with multiterminal data compression},
Author = {Te Sun Han and Amari, S.},
Journal = {Information Theory, IEEE Transactions on},
Year = {1995},
Month = {Nov.},
Number = {6},
Pages = {1802--1833},
Volume = {41},
Doi = {10.1109/18.476308},
Owner = {ph},
Timestamp = {2007.02.18}
}
@Book{Hardy1959,
Title = {Inequalities},
Author = {G. H. Hardy and J. E. Littlewood and G. P{\'o}lya},
Publisher = {Cambridge University Press},
Year = {1959},
Address = {Cambridge},
Edition = {second edition}
}
@Book{Hardy1915,
Title = {The general Theory of {D}irichlet's series},
Author = {G. H. Hardy and M. Riesz},
Publisher = {Cambridge Univ. Press},
Year = {1915},
Address = {London}
}
@Unpublished{Harremoees2009,
author = {P. Harremo{\"e}s and F. Tops{\o}e},
title = {Instances of Exact Optimal Prediction},
year = {2009},
note = {In preparation},
}
@InProceedings{Harremoes2007g,
Title = {Projections Maximizing {T}sallis Entropy},
Author = {P. Harremo{\"e}s},
Booktitle = {Complexity, Metastability, and Nonextensivity: An Interactive Conference,Catania, Italy, 1-5 July 2007},
Year = {2007},
Editor = {A. Rapisarda et al.},
Month = {Dec.},
Pages = {90-95},
Publisher = {American Institute of Physics},
Series = {Mathematical and Statistical Physics},
Volume = {965},
Owner = {ph},
Refereed = {yes},
Theme = {INS4},
Timestamp = {2007.09.21},
Url = {http://proceedings.aip.org/proceedings/confproceed/965.jsp}
}
@InCollection{Harremoes2006b,
Title = {Lower Bounds for Divergence in the Central Limit Theorem},
Author = {Peter Harremo{\"e}s},
Booktitle = {General Theory of Information Transfer and Combinatorics},
Publisher = {Springer-Verlag},
Year = {2006},
Address = {Berlin Heidelberg},
Editor = {R. Ahlswede and L. B{\"a}umer and N. Cai and H. K. Aydinian and V. Blinovskyand C. Deppe and H. Mashurian},
Pages = {578-594},
Series = {Lecture Notes in Computer Science},
Volume = {4123},
Owner = {ph},
Timestamp = {2007.01.16},
Url = {http://www.harremoes.dk/Peter/ratesub.pdf}
}
@InProceedings{Harremoes2009c,
Title = {Dutch Books and Combinatorial Games},
Author = {Peter Harremo{\"e}s},
Booktitle = {Proceedingsof the Sixth International Symposium on Imprecise Probability: Theory and Applications},
Year = {2009},
Address = {Durham, United Kingdom},
Editor = {T. Augustin and F. Coolen and S. Moral and M. Troffaes},
Month = {July},
Organization = {SIPTA},
Pages = {229-238},
File = {:http\://www.harremoes.dk/Peter/GameISIPTA2009b.pdf:PDF},
Owner = {ph},
Timestamp = {2009.03.18},
Url = {http://arxiv.org/abs/0903.5429}
}
@InCollection{Harremoes2007e,
Title = {Information Topologies with Applications},
Author = {P. Harremo{\"e}s},
Booktitle = {Entropy, Search, Complexity},
Publisher = {J{\'a}nos Bolyai Mathematical Society and Springer-Verlag},
Year = {2007},
Editor = {I. Csisz{\'a}r and Gyula O. H Katona and G{\'a}bot Tardos},
Pages = {113-150},
Series = {Bolyai Society Mathematical Studies},
Volume = {16},
Organization = {Bolyai Society},
Refereed = {yes},
Theme = {INS4},
Url = {http://www.harremoes.dk/Peter/inftopfi.pdf}
}
@InProceedings{Harremoes2015a,
author = {P. Harremo{\"e}s},
title = {Proper Scoring and Sufficiency},
booktitle = {Proceeding of the The Eighth Workshop on Information Theoretic Methods in Science and Engineering},
year = {2015},
editor = {J. Rissanen and P. Harremo{\"e}s and S. Forchhammer and T. Roos and P. Myllym{\"a}ke},
series = {Series of Publications B},
number = {Report B-2015-1},
pages = {19-22},
url = {http://www.cs.helsinki.fi/u/ttonteri/pub/witmse2015proceedings.pdf
http://arxiv.org/abs/1507.07089},
address = {University of Helsinki, Department of Computer Science},
owner = {peth},
timestamp = {2015.12.24},
}
@InProceedings{Harremoes2011g,
Title = {Functional Dependences and {B}ayesian Networks},
Author = {Peter Harremo{\"e}s},
Booktitle = {Proceedings WITMSE 2011},
Year = {2011},
Editor = {Jorma Rissanen and Petri Myllymï¿½ki and Teemu Roos, Ioan Tabus and Kenji Yamanishi},
Number = {Report C-2011-45},
Organization = {Dept. Comp. Science, Univ. Helsinki},
Pages = {35-38},
Series = {Series of Publications C},
File = {The file at my homepage:www.harremoes.dk/Peter/FunctionalWITSME.pdf:PDF},
Owner = {Peter Harremoes},
Timestamp = {2011.08.27},
Url = {http://www.helsinki.fi/witmse2011/witmse2011-proceedings.pdf}
}
@InCollection{Harremoes2001b,
Title = {Epic p{\aa} {G}randes {J}orrasses},
Author = {P. Harremo{\"e}s},
Booktitle = {Fra Dr{\o}m til Virkelighed, Dansk Bjergklubs Jubel{\ae}unsantologi},
Publisher = {Dansk Bjergklub},
Year = {2001},
Editor = {S{\o}ren Smidt},
Pages = {62-67},
Owner = {ph},
Timestamp = {2007.01.16}
}
@Article{Harremoes2016,
author = {P. Harremo{\"e}s},
title = {Bounds on tail probabilities for negative binomial distributions},
journal = {Kybernetika},
year = {2016},
date = {2016-01-20},
volume = {52},
number = {6},
month = {feb},
pages = {943-966},
doi = {10.14736/kyb-2016-6-0943},
eprint = {1601.05179},
eprintclass = {math.PR},
eprinttype = {arXiv},
url = {arxiv.org/abs/1601.05179},
abstract = {In this paper we present various new inequalities for tail proabilities for distributions that are elements of the most improtant exponential families. These families include the Poisson distributions, the Gamma distributions, the binomial distributions, the negative binomial distributions and the inverse Gaussian distributions. All these exponential families have simple variance functions and the variance functions play an important role in the exposition. All the inequalities presented in this paper are formulated in terms of the signed log-likelihood. The inequalities are of a qualitative nature in that they can be formulated either in terms of stochastic domination or in terms of an intersection property that states that a certain discrete distribution is very close to a certain continuous distribution.},
file = {online:http\://arxiv.org/pdf/1601.05179v2:PDF},
keywords = {math.PR, 60E15},
publisher = {Institute of Information Theory and Automation},
}
@Unpublished{Harremoes2016a,
author = {P. Harremo{\"e}s},
title = {Sufficiency on the Stock Market},
year = {2016},
note = {arXiv:1601.07593},
month = {Jan.},
}
@Unpublished{Harremoes2016c,
author = {P. Harremo{\"e}s},
title = {Influence diagrams as convex geometries},
year = {2017},
note = {In preparation},
url = {www.harremoes.dk/Peter/FunctionalDAG.pdf},
owner = {Ejer},
timestamp = {2015.01.13},
}
@InProceedings{Harremoes2015,
author = {Peter Harremo{\"e}s},
title = {Lattices with non-Shannon inequalities},
booktitle = {2015 IEEE International Symposium on Information Theory},
year = {2015},
eventtitle = {ISIT 2015},
eventdate = {June 14-19, 2015},
venue = {Hong Kong, China},
publisher = {IEEE},
isbn = {978-1-4673-7704-1},
pages = {740-744},
doi = {http://dx.doi.org/10.1109/ISIT.2015.7282553},
url = {http://arxiv.org/abs/1502.04336},
citedby = {0},
cites = {0},
researchr = {http://researchr.org/publication/Harremoes15},
}
@Unpublished{Harremoes2012a,
author = {P. Harremo{\"e}s},
title = {Probability and Information - {O}ccam's Razor in Action},
year = {2017},
note = {Book in preparation},
refereed = {no},
theme = {INS4},
}
@InProceedings{Harremoes2014,
author = {P. Harremo{\"e}s},
title = {Mutual information of Contingency Tables and Related Inequalities},
booktitle = {2014 IEEE International Symposium on Information Theory},
year = {2014},
eventtitle = {ISIT2014},
organization = {IEEE},
month = {June},
pages = {2474-2478},
url = {http://arxiv.org/abs/1402.0092 http://www.harremoes.dk/Peter/mutualarXiv.pdf},
owner = {Ejer},
timestamp = {2014.02.04},
}
@InProceedings{Harremoes2013,
Title = {Extendable {MDL}},
Author = {P. Harremo{\"e}s},
Booktitle = {International Symposium on Information Theory},
Year = {2013},
Address = {Boston},
Month = {July},
Organization = {IEEE},
Pages = {1516-1520},
Owner = {Peter},
Timestamp = {2014.01.05},
Url = {http://arxiv.org/abs/1301.6465}
}
@Unpublished{Harremoes2011e,
Title = {Is Zero a Natural Number?},
Author = {P. Harremo{\"e}s},
Note = {Draft},
Month = {Feb.},
Year = {2011},
Owner = {Peter Harremoes},
Timestamp = {2011.02.02},
Url = {http://arxiv.org/abs/1102.0418}
}
@InProceedings{Harremoes2010b,
Title = {Information Theory for Angular Data},
Author = {P. Harremo{\"e}s},
Booktitle = {Proceedings Information Theory Workshop, Cairo},
Year = {2010},
Month = {Jan.},
Organization = {IEEE},
Pages = {181-185},
Owner = {ph},
Timestamp = {2008.06.25},
Url = {www.harremoes.dk/Peter/1569245443.pdf}
}
@InProceedings{Harremoes2008g,
Title = {Testing {G}oodness-of-{F}it via Rate Distortion},
Author = {P. Harremo{\"e}s},
Booktitle = {Information Theory Workshop, Volos, Greece, 2009},
Year = {2009},
Organization = {IEEE},
Pages = {17-21},
File = {Ratetest3.pdf:www.harremoes.dk/Peter/Ratetest3.pdf:PDF},
Owner = {ph},
Timestamp = {2008.06.25},
Url = {http://arxiv.org/abs/0903.5426}
}
@Article{Harremoes2009a,
Title = {Entropy - New {E}ditor-in-{C}hief and Outlook},
Author = {P. Harremo{\"e}s},
Journal = {Entropy},
Year = {2009},
Number = {11},
Pages = {1-3},
Volume = {11},
Doi = {10.3390/e11010001},
Owner = {ph},
Timestamp = {2009.01.06},
Url = {http://www.mdpi.com/1099-4300/11/1/1}
}
@Article{Harremoes2009d,
Title = {Maximum Entropy on Compact groups},
Author = {P. Harremo{\"e}s},
Journal = {Entropy},
Year = {2009},
Number = {2},
Pages = {222--237},
Volume = {11},
Doi = {10.3390/e11020222},
File = {:http\://www.harremoes.dk/Peter/compgroup.pdf:PDF},
Owner = {ph},
Timestamp = {2009.03.18},
Url = {http://mdpi.com/1099-4300/11/2/222}
}
@Article{Harremoes2009f,
Title = {Joint Range of {R}{\'e}nyi Entropies},
Author = {Peter Harremo{\"e}s},
Journal = {Kybernetika},
Year = {2009},
Month = {Dec.},
Number = {6},
Pages = {901-911},
Volume = {45},
Owner = {ph},
Timestamp = {2009.04.16},
Url = {http://arxiv.org/abs/0904.2477}
}
@Article{Harremoes2008b,
Title = {Some New Maximal Inequalities},
Author = {P. Harremo{\"e}s},
Journal = {Stat. Probab. Letters},
Year = {2008},
Month = {Nov.},
Number = {16},
Pages = {2776-2780},
Volume = {78},
Doi = {10.1016/j.spl.2008.03.028},
Owner = {ph},
Refereed = {yes},
Theme = {INS4},
Timestamp = {2007.01.16},
Url = {www.harremoes.dk/Peter/sarticlef.pdf}
}
@InProceedings{Harremoes2006,
Title = {Maximum Entropy on Compact Groups},
Author = {P. Harremo{\"e}s},
Booktitle = {Proceedings of Interntational Symposium on Information Theory},
Year = {2006},
Address = {Seattle, USA},
Month = {9-14. July},
Organization = {IEEE},
Pages = {108-112},
Owner = {ph},
Timestamp = {2007.01.16},
Url = {http://www.harremoes.dk/Peter/compgro.pdf}
}
@InProceedings{Harremoes2006c,
Title = {Thinning and the Law of Small Numbers},
Author = {P. Harremo{\"e}s},
Booktitle = {Proceedings Prague Stochastics},
Year = {2006},
Address = {Prague},
Month = {August},
Pages = {388-395},
Owner = {ph},
Timestamp = {2007.01.16},
Url = {http://www.harremoes.dk/Peter/ThinPrague.pdf}
}
@Article{Harremoes2006d,
Title = {Interpretations of {R}{\'e}nyi Entropies and Divergences},
Author = {P. Harremo{\"e}s},
Journal = {Physica A: Statistical Mechanics and its Applications},
Year = {2006},
Month = {June},
Number = {1},
Pages = {57-62},
Volume = {365},
Url = {http://arxiv.org/abs/math-ph/0510002}
}
@InProceedings{Harremoes2006e,
Title = {Directed Information and Conditional Mutual Information},
Author = {Peter Harremo{\"e}s},
Booktitle = {ITA's inaugural workshop},
Year = {2006},
Address = {San Diego},
Month = {Feb.},
Organization = {UCSD},
Owner = {Peter Harremoes},
Timestamp = {2010.06.22},
Url = {http://ita.ucsd.edu/workshop/06/talks/papers/71.pdf}
}
@InProceedings{Harremoes2005a,
Title = {Maximum Entropy and the {E}dgeworth Expansion},
Author = {P. Harremo{\"e}s},
Booktitle = {Proceedings Information Theory Workshop},
Year = {2005},
Address = {Roturoa, New Zealand},
Month = {28. Aug. - 1. Sept.},
Organization = {IEEE},
Pages = {68-71},
Owner = {ph},
Timestamp = {2007.01.16},
Url = {http://www.harremoes.dk/Peter/RateNew.pdf}
}
@InProceedings{Harremoes2005b,
Title = {Martingales and Information Divergence},
Author = {P. Harremo{\"e}s},
Booktitle = {Proceedings of 2005 {IEEE} International Symposium on Information Theory},
Year = {2005},
Address = {Adelaide, Australia},
Month = {Sept.},
Organization = {IEEE},
Pages = {164-168},
Owner = {ph},
Timestamp = {2007.01.16},
Url = {http://www.harremoes.dk/Peter/martingale.pdf}
}
@Article{Harremoes2005c,
Title = {Lower Bounds on Divergence in Central Limit Theorem},
Author = {P. Harremo{\"e}s},
Journal = {Electronic Notes in Discrete Mathematics},
Year = {2005},
Month = {Aug.},
Pages = {309-313},
Volume = {21},
Url = {http://www.harremoes.dk/Peter/ENDMclt.pdf}
}
@InProceedings{Harremoes2004a,
Title = {The Weak Information Projection},
Author = {P. Harremo{\"e}s},
Booktitle = {Proceedings 2004 {IEEE} International Symposium on Information Theory},
Year = {2004},
Address = {Chicago},
Month = {June-July},
Organization = {IEEE},
Pages = {28},
Url = {http://www.harremoes.dk/Peter/harremoes.pdf}
}
@InProceedings{Harremoes2004b,
Title = {A New Look on Majorization},
Author = {P. Harremo{\"e}s},
Booktitle = {Proceedings {ISITA} 2004},
Year = {2004},
Address = {Parma, Italy},
Month = {Oct.},
Pages = {1422-1425},
Url = {http://www.harremoes.dk/Peter/majoriza.pdf}
}
@TechReport{Harremoes2003,
Title = {Convergence to the {P}oisson Distribution in Information Divergence},
Author = {P. Harremo{\"e}s},
Institution = {Mathematical department, University of Copenhagen},
Year = {2003},
Month = {Feb.},
Number = {2},
Type = {Preprint},
Series = {Preprint series},
Url = {http://www.harremoes.dk/Peter/poisprep.pdf}
}
@InProceedings{Harremoes2003a,
Title = {Lower bound on rate of convergence in information theoretic Central LimitTheorem},
Author = {P. Harremo{\"e}s},
Booktitle = {Book of Abstracts for the Seventh International Symposium on OrthogonalPolynomials,Special functions and Applications},
Year = {2003},
Address = {Copenhagen},
Month = {18-22. August},
Pages = {53-54},
Url = {http://www.harremoes.dk/Peter/ortogonal.pdf}
}
@InProceedings{Harremoes2002a,
Title = {Topologies associated with Information Divergence},
Author = {P. Harremo{\"e}s},
Booktitle = {Book of {A}bstracts, $24^{th}$ {E}uropean {M}eeting of {S}tatisticians},
Year = {2002},
Address = {Prague},
Month = {August},
Pages = {216},
Url = {http://www.harremoes.dk/Peter/prag.pdf}
}
@Unpublished{Harremoes2002b,
Title = {An Interpretation of Squared Skewness minus Excess Kurtosis},
Author = {P. Harremo{\"e}s},
Note = {Unpublished},
Month = {Oct.},
Year = {2002}
}
@InProceedings{Harremoes2002c,
Title = {The Information Topology},
Author = {P. Harremo{\"e}s},
Booktitle = {Proceedings {IEEE} International Symposium on Information Theory},
Year = {2002},
Address = {Lausanne},
Month = {June},
Organization = {IEEE},
Pages = {431},
Doi = {10.1109/ISIT.2002.1023703},
Url = {http://www.harremoes.dk/Peter/isit70.pdf}
}
@Article{Harremoes2001,
Title = {Tilbageregning og typeteori},
Author = {P. Harremo{\"e}s},
Journal = {LMFK-bladet},
Year = {2001},
Month = {August},
Number = {8},
Volume = {23},
Owner = {ph},
Timestamp = {2007.01.16},
Url = {http://www.harremoes.dk/Peter/typeteo.pdf}
}
@Article{Harremoes2001a,
Title = {Talpar med given afstand i {E}ulers restm{\ae}ngder},
Author = {P. Harremo{\"e}s},
Journal = {LMFK-bladet},
Year = {2001},
Month = {August},
Number = {8},
Volume = {23},
Owner = {ph},
Timestamp = {2007.01.16},
Url = {http://www.harremoes.dk/Peter/Talpar.doc}
}
@Article{Harremoes2001c,
Title = {Binomial and {P}oisson Distributions as Maximum Entropy Distributions},
Author = {P. Harremo{\"e}s},
Journal = {IEEE Trans. Inform. Theory},
Year = {2001},
Month = {July},
Number = {5},
Pages = {2039-2041},
Volume = {47},
Url = {http://www.harremoes.dk/Peter/poisson.pdf}
}
@InProceedings{Harremoes2001e,
Title = {Poisson's Law and Information Theory},
Author = {P. Harremo{\"e}s},
Booktitle = {Proceedings 2001 {IEEE} International Symposium on Information Theory},
Year = {2001},
Address = {Washington},
Month = {June},
Organization = {IEEE},
Pages = {46},
Url = {http://www.harremoes.dk/Peter/381.pdf}
}
@InProceedings{Harremoes2001f,
Title = {Convergence to {P}oisson Distribution},
Author = {P. Harremo{\"e}s},
Booktitle = {Proceedings of conference in Computer Science and Information Technologies},
Year = {2001},
Address = {Yerevan, Armenia},
Month = {September},
Pages = {224-228},
Url = {http://www.harremoes.dk/Peter/csit.pdf}
}
@Article{Harremoes2000,
Title = {Talnotation},
Author = {P. Harremo{\"e}s},
Journal = {LMFK-bladet},
Year = {2000},
Month = {May},
Number = {5},
Volume = {22},
Owner = {ph},
Timestamp = {2007.01.16},
Url = {http://www.harremoes.dk/Peter/talnot.pdf}
}
@Book{Harremoes1997a,
Title = {Instrukt{\o}rens H{\aa}ndbog},
Author = {Peter Harremo{\"e}s},
Publisher = {Dansk Bjergklub og Dansk Sportsklatreforbund},
Year = {1997},
Address = {K{\o}benhavn},
ISBN = {87-985058-5-8},
Owner = {ph},
Timestamp = {2007.01.16}
}
@Book{Harremoes1995,
Title = {Klatring p{\aa} Kullen},
Author = {P. Harremo{\"e}s},
Publisher = {Dansk Bjergklub},
Year = {1995},
Address = {K{\o}benhavn},
ISBN = {87-5058-0-7},
Owner = {ph},
Timestamp = {2007.01.16}
}
@Book{Harremoes1993,
author = {P. Harremo{\"e}s},
title = {Time and Conditional Independence},
year = {1993},
volume = {255},
series = {IMFUFA-tekst},
note = {Original in Danish entitled Tid og Betinget Uafh{\ae}ngighed. English translation partially available},
publisher = {IMFUFA Roskilde University},
school = {Roskilde University},
type = {Ph.D. Thesis},
}
@MastersThesis{Harremoes1989,
Title = {Minimumdiscriminationinformationsprincippet},
Author = {P. Harremo{\"e}s},
School = {Math. Dept.},
Year = {1989},
Address = {Univ. Copenhagen},
Month = {Jan.}
}
@Book{Harremoes1997,
Title = {Klatrev{\ae}gsklatring},
Author = {P. Harremo{\"e}s and O. Bruds{\o}e},
Publisher = {Dansk Bjergklub og Dansk Sportsklatreforbund},
Year = {1997},
Address = {K{\o}benhavn},
Edition = {2nd edition},
ISBN = {87-985058-6-6},
Owner = {ph},
Timestamp = {2007.01.16}
}
@Book{Harremoes1996,
Title = {Klatrev{\ae}gsklatring},
Author = {P. Harremo{\"e}s and O. Bruds{\o}e},
Publisher = {Dansk Bjergklub og Dansk Sportsklatreforbund},
Year = {1996},
Address = {K{\o}benhavn},
Edition = {1st edition},
Owner = {ph},
Timestamp = {2007.01.16}
}
@Book{Harremoes1995a,
Title = {Klippeklatring},
Author = {P. Harremo{\"e}s and O. Bruds{\o}e},
Publisher = {Dansk Bjergklub},
Year = {1995},
Address = {K{\o}benhavn},
Edition = {1st edition},
ISBN = {87-985058-2-3},
Owner = {ph},
Timestamp = {2007.01.16}
}
@Article{Harremoes2009,
Title = {Convergence of {M}arkov Chains in Information Divergence},
Author = {P. Harremo{\"e}s and K. K. Holst},
Journal = {Journal of Theoretical Probability},
Year = {2009},
Pages = {186-202},
Volume = {22},
Doi = {10.1007/s10959-007-0133-7},
Owner = {ph},
Refereed = {yes},
Theme = {INS4},
Timestamp = {2007.10.30},
Url = {http://www.springerlink.com/content/k64ux55205|170k1/fulltext.pdf}
}
@Book{Harremoes2000a,
Title = {Klippeklatring},
Author = {P. Harremo{\"e}s and T. Johansen},
Publisher = {Dansk Bjergklub},
Year = {2000},
Address = {K{\o}benhavn},
Edition = {2nd edition},
Note = {ISBN 87-987696-2-6},
Owner = {ph},
Timestamp = {2007.01.16}
}
@Unpublished{Harremoes2016b,
Title = {Thinning and Information Projections},
Author = {P. Harremo{\"e}s and O. Johnson and I. Kontoyiannis},
Note = {arXiv:1601.04255},
Month = {Jan.},
Year = {2016},
Owner = {peth},
Timestamp = {2016.01.22},
Url = {http://arxiv.org/abs/1601.04255}
}
@Article{Harremoes2010c,
Title = {Thinning, Entropy and the Law of Thin Numbers},
Author = {P. Harremo{\"e}s and O. Johnson and I. Kontoyiannis},
Journal = {IEEE Trans. Inform Theory},
Year = {2010},
Month = {Sept.},
Number = {9},
Pages = {4228 - 4244},
Volume = {56},
Doi = {10.1109/TIT.2010.2053893},
File = {:http\://www.harremoes.dk/Peter/UBthin4.pdf:PDF},
Owner = {ph},
Timestamp = {2009.06.02},
Url = {http://arxiv.org/abs/0906.0690}
}
@InProceedings{Harremoes2008c,
author = {P. Harremo{\"e}s and O. Johnson and I. Kontoyiannis},
title = {Thinning and Information Projection},
booktitle = {2008 IEEE International Symposium on Information Theory},
year = {2008},
organization = {IEEE},
month = {July},
pages = {2644-2648},
url = {www.harremoes.dk/Peter/ThinISIT08final.pdf},
owner = {ph},
timestamp = {2008.04.01},
}
@InProceedings{Harremoes2007b,
author = {P. Harremo{\"e}s and O. Johnson and I. Kontoyiannis},
title = {Thinning and the Law of Small Numbers},
booktitle = {2007 IEEE International Symposium on Information Theory},
year = {2007},
eventtitle = {ISIT2007},
venue = {Nice, France},
organization = {IEEE Information Theory Society},
month = {June},
pages = {1491-1495},
url = {www.harremoes.dk/Peter/Isit2thin.pdf},
owner = {ph},
refereed = {yes},
theme = {INS4},
timestamp = {2007.01.16},
}
@Article{Harremoes2004,
Title = {Rate of Convergence to {P}oisson Law in Terms of Information Divergence},
Author = {P. Harremo{\"e}s and P. Ruzankin},
Journal = {IEEE Trans. Inform Theory},
Year = {2004},
Month = {Sept.},
Number = {9},
Pages = {2145-2149},
Volume = {50},
Url = {http://www.harremoes.dk/Peter/rcplid4.pdf}
}
@InProceedings{Harremoes2007a,
author = {P. Harremo{\"e}s and N. Tishby},
title = {The Information Bottleneck Revisited or How to Choose a Good Distortion Measure},
booktitle = {2007 IEEE International Symposium on Information Theory},
year = {2007},
venue = {Nice},
organization = {IEEE Information Theory Society},
month = {June},
pages = {566-570},
url = {https://doi.org/10.1109/ISIT.2007.4557285},
owner = {ph},
refereed = {yes},
theme = {INS4},
timestamp = {2007.01.16},
}
@Article{Harremoes2001g,
Title = {Maximum Entropy Fundamentals},
Author = {P. Harremo{\"e}s and F. Tops{\o }e},
Journal = {Entropy},
Year = {2001},
Month = {Sept.},
Number = {3},
Pages = {191-226},
Volume = {3},
Url = {http://www.unibas.ch/mdpi/entropy/papers/e3030191.pdf}
}
@InCollection{Harremoe2007,
Title = {The Quantitative Theory of Information},
Author = {P. Harremo{\"e}s and F. Tops{\o}e},
Booktitle = {Handbook of Philosophy of Information},
Publisher = {Elsivier},
Year = {2008},
Chapter = {Part C},
Editor = {J. {van Benthem} and P. Adriaans},
Pages = {171-216},
Series = {Handbook of the Philosophy of Science},
Volume = {8},
File = {http:www.harremoes.dk/Peter/Handbook.pdf:PDF},
ISBN = {044451726X},
Owner = {ph},
Refereed = {yes},
Theme = {INS4},
Url = {http://www.harremoes.dk/Peter/Volume8.ps.gz}
}
@Article{Harremoes2005,
Title = {Zipf's law, hyperbolic distributions and entropy loss},
Author = {P. Harremo{\"e}s and F. Tops{\o}e},
Journal = {Electronic Notes in Discrete Mathematics},
Year = {2005},
Month = {Aug.},
Pages = {315-318},
Volume = {21},
Url = {http://www1.elsevier.com/gej-ng/31/29/24/show/Products/notes/contents.htt}
}
@InProceedings{Harremoes2002,
Title = {Unified Approach to Optimisation Techniques in {S}hannon Theory},
Author = {P. Harremo{\"e}s and F. Tops{\o}e},
Booktitle = {Proceedings of the {IEEE} International Symposium on Information Theory},
Year = {2002},
Address = {Lausanne},
Month = {June},
Organization = {IEEE},
Pages = {238},
Owner = {ph},
Timestamp = {2007.01.16},
Url = {http://www.harremoes.dk/Peter/isit158.pdf}
}
@InProceedings{Harremoes2002d,
Title = {Zipf's law, hyperbolic distributions and entropy loss},
Author = {P. Harremo{\"e}s and F. Tops{\o}e},
Booktitle = {Proceedings of the {IEEE} International Symposium on Information Theory},
Year = {2002},
Address = {Lausanne},
Month = {June},
Organization = {IEEE},
Pages = {207},
Url = {http://www.math.ku.dk/~topsoe/ISIT2002procZipf.pdf}
}
@InProceedings{Harremoes2001d,
Title = {Information Diagrams: Entropy, Index of Coincidence and Probability of Error},
Author = {P. Harremo{\"e}s and F. Tops{\o}e},
Booktitle = {Proceedings {IEEE} International Symposium on Information Theory},
Year = {2001},
Address = {Washington},
Month = {June},
Organization = {IEEE},
Pages = {43},
Url = {http://www.math.ku.dk/~topsoe/ISIT2001.Diagrams.pdf}
}
@Article{Harremoes2001h,
Title = {Inequalities between Entropy and Index of Coincidence derived from Information Diagrams},
Author = {P. Harremo{\"e}s and F. Tops{\o}e},
Journal = {IEEE Trans. Inform. Theory},
Year = {2001},
Month = {Nov.},
Number = {7},
Pages = {2944-2960},
Volume = {47},
File = {Inf.Diagrams.pdf:http\://www.math.ku.dk/~topsoe/Inf.Diagrams.pdf:PDF},
Url = {http://www.math.ku.dk/~topsoe/Inf.Diagrams.pdf}
}
@InProceedings{Harremoes2012,
author = {P. Harremo{\"e}s and G. Tusn{\'a}dy},
title = {Information Divergence is more $\chi^2$-distributed than the $\chi^2$-statistic},
booktitle = {2012 IEEE International Symposium on Information Theory},
year = {2012},
organization = {IEEE},
month = {July},
pages = {538-543},
url = {http://arxiv.org/abs/1202.1125},
abstract = {For testing goodness of fit it is very popular to use either the chi squared statistic or G squared statistic (information divergence). Asymptotically both are chi squared distributed so an obvious question is which of the two statistics that has a distribution that is closest to the chi squared distribution. Surprisingly the distribution of information divergence is much better approximated by a chi squared distribution than the chi squared statistic. For random variables we introduce a new transformation that transform several important distributions into new random variables that are almost Gaussian. For the binomial distributions and the Poisson distributions we formulate a general conjecture about how close their transform are to the Gaussian, and this conjecture gives much more accurate estimates of the tail probabilities of these distributions than previously published results. The conjecture is proved for Poisson distributions.},
address = {Cambridge, Massachusetts, USA},
keywords = {Information divergence; chi squared distribution; chi squared statistic; G-transform.},
}
@Article{Harremoes2011a,
Title = {On Pairs of $f$-divergences and their Joint Range},
Author = {P. Harremo{\"e}s and I. Vajda},
Journal = {IEEE Tranns. Inform. Theory},
Year = {2011},
Month = {June},
Number = {6},
Pages = {3220-3225},
Volume = {57},
Owner = {Peter Harremoes},
Timestamp = {2010.07.01},
Url = {http://www.harremoes.dk/Peter/fdivieeetrans.pdf}
}
@Unpublished{Harremoes2011f,
Title = {On {B}ahadur Efficiency of Power Divergence Statistics},
Author = {P. Harremo{\"e}s and Igor Vajda},
Note = {Submitted},
Year = {2011},
Owner = {Peter Harremoes},
Timestamp = {2010.07.01},
Url = {http://arxiv.org/abs/1002.1493}
}
@InProceedings{Harremoes2010e,
author = {P. Harremo{\"e}s and I. Vajda},
title = {Joint Range of $f$-divergences},
booktitle = {2010 IEEE International Symposium on Informatipon Theory},
year = {2010},
eventtitle = {ISIT2010},
organization = {IEEE},
month = {June},
pages = {1340-1344},
url = {http://arxiv.org/abs/1001.4432},
owner = {ph},
timestamp = {2010.01.26},
}
@Article{Harremoes2008,
Title = {On the {B}ahadur-Efficient Testing of Uniformity by means of the Entropy},
Author = {P. Harremo{\"e}s and I. Vajda},
Journal = {IEEE Trans. Inform Theory},
Year = {2008},
Month = {Jan.},
Number = {1},
Pages = {321-331},
Volume = {54},
Doi = {10.1109/TIT.2007.911155},
Owner = {ph},
Refereed = {yes},
Theme = {INS4},
Timestamp = {2007.03.15},
Url = {http://www.harremoes.dk/Peter/Bahadur08.pdf}
}
@TechReport{Harremoes2008d,
Title = {Consistence of various $\phi$-divergence Statistics},
Author = {P. Harremo{\"e}s and I. Vajda},
Institution = {Institute of Information Theory and Automation},
Year = {2008},
Address = {Praha},
Month = {March},
Number = {2218},
Type = {Research Report {\'U}TIA AV {\v C}R},
Owner = {ph},
Review = {no},
Timestamp = {2008.03.20},
Url = {http://www.harremoes.dk/Peter/Consis.pdf}
}
@InProceedings{Harremoes2008e,
author = {Peter Harremo{\"e}s and I. Vajda},
title = {Efficiency of Entropy Testing},
booktitle = {2008 IEEE International Symposium on Information Theory},
year = {2008},
organization = {IEEE},
month = {July},
pages = {2639-2643},
url = {www.harremoes.dk/Peter/BahadurISIT08final.pdf},
owner = {ph},
timestamp = {2008.04.01},
}
@InProceedings{Harremoes2007,
Title = {Entropy Testing is Efficient},
Author = {P. Harremo{\"e}s and I. Vajda},
Booktitle = {Proceedings ISIT 2007, Nice},
Year = {2007},
Month = {June},
Organization = {IEEE Information Theory Society},
Pages = {1841-1846},
Owner = {ph},
Refereed = {yes},
Theme = {INS4},
Timestamp = {2007.01.16},
Url = {www.harremoes.dk/Peter/BahadurISITnew1.pdf}
}
@Unpublished{Harremoes2011,
Title = {{R}{\'e}nyi Entropies of Marginal Distributions},
Author = {P. Harremo{\"e}s and C. Vignat},
Note = {In prep.},
Year = {2011},
Owner = {ph},
Refereed = {no},
Theme = {INS4},
Timestamp = {2007.01.16},
Url = {http://www.harremoes.dk/Peter/Else.pdf}
}
@Unpublished{Harremoes2011d,
Title = {Lower bounds on Information Divergence},
Author = {P. Harremo{\"e}s and C. Vignat},
Note = {Unpublished},
Year = {2011},
Owner = {Peter Harremoes},
Timestamp = {2011.02.20},
Url = {http://arxiv.org/abs/1102.2536}
}
@InProceedings{Harremoes2006a,
Title = {R{\'e}nyi Entropy of Projections},
Author = {P. Harremo{\"e}s and C. Vignat},
Booktitle = {Proceedings of 2006 {IEEE} International Symposium on Information Theory},
Year = {2006},
Address = {Seattle, USA},
Month = {9-14 July},
Organization = {IEEE},
Pages = {1827-1830},
Owner = {ph},
Timestamp = {2007.01.16},
Url = {http://www.harremoes.dk/Peter/alf2.pdf}
}
@Article{Harremoes2004c,
Title = {A {N}ash Equilibrium related to the {P}oisson Channel},
Author = {P. Harremo{\"e}s and C. Vignat},
Journal = {Communications in {I}nformation and {S}ystems},
Year = {2004},
Month = {March},
Number = {3},
Pages = {183-190},
Volume = {3},
Url = {http://www.harremoes.dk/Peter/game.pdf}
}
@Unpublished{Harremoes2004d,
Title = {A short information theoretic proof of {CLT}},
Author = {P. Harremo{\"e}s and C. Vignat},
Note = {In preparation},
Year = {2004}
}
@Article{Harremoes2003b,
Title = {An Entropy Power Inequality for the Binomial Family},
Author = {P. Harremo{\"e}s and C. Vignat},
Journal = {J. Ineq. Pure and Appl. Math.},
Year = {2003},
Number = {5},
Pages = {Article 93},
Volume = {4},
Url = {http://www.harremoes.dk/Peter/epi.pdf}
}
@Book{Hartigan1983,
Title = {Bayes Theory},
Author = {J. A. Hartigan},
Publisher = {Springer},
Year = {1983},
Address = {New York}
}
@Misc{Hartl2010,
Title = {The Tau Manifesto},
Author = {M. Hartl},
HowPublished = {Website},
Month = {June 28},
Year = {2010},
Owner = {Peter Harremoes},
Timestamp = {2011.01.18},
Url = {http://www.tauday.com}
}
@Article{Hastings1970,
Title = {Monte {C}arlo Sampling Methods Using {M}arkov Chains and Their Applications},
Author = {W. K. Hastings},
Journal = {Biometrika},
Year = {1970},
Number = {1},
Pages = {97-109},
Volume = {57},
Owner = {ph},
Timestamp = {2007.09.11}
}
@Article{Haussler1997,
Title = {A general Minimax Result for Relative Entropy},
Author = {D. Haussler},
Journal = {IEEE Trans. Inform. Theory},
Year = {1997},
Pages = {1276-1280},
Volume = {43}
}
@Article{Haussler1997a,
Title = {Mutual Information, Metric Entropy and Cumulative Relative Entropy Risk},
Author = {David Haussler and Manfred Opper},
Journal = {The Annals of Statistics},
Year = {1997},
Number = {6},
Pages = {2451--2492},
Volume = {25},
Owner = {Peter Harremoes},
Timestamp = {2010.09.11}
}
@Article{Havrda1967,
Title = {Quantification method of classification processes. {C}oncept of structural$a$-entropy},
Author = {J. Havrda and F. Charv{\'a}t},
Journal = {Kybernetika},
Year = {1967},
Note = {{R}eview by I. Csisz{\'a}r in {M}{R}, vol. 34, no.8875},
Pages = {30-35},
Volume = {3}
}
@Article{Heegaard1983,
Title = {On the Capasity of computer memories with defects},
Author = {C. Heegaard and A. El Gamal},
Journal = {IEEE Trans. Inform. Theory},
Year = {1983},
Month = {Sept.},
Pages = {731-739},
Volume = {IT-29}
}
@Article{Heisenberg1927,
Title = {The Physical Principles of Quantum Theory},
Author = {W. Heisenberg},
Journal = {Z. Phys. Lett. B},
Year = {1927},
Note = {(Dover, New York, 1949)},
Pages = {172},
Volume = {43},
Owner = {ph},
Timestamp = {2008.02.27}
}
@Article{Hellman1970,
Title = {Probability of Error, Equivocation, and the {C}hernoff Bound},
Author = {M. E. Hellman},
Journal = {IEEE Trans. Inform. Theory},
Year = {1970},
Pages = {368-372},
Volume = {16}
}
@Article{Hendrickson1971,
Title = {Proper scores for probability forecasters},
Author = {A. D. Hendrickson and R. J. Buehler},
Journal = {Ann. Math. Statist.},
Year = {1971},
Pages = {1916-1921},
Volume = {42}
}
@Book{Henrici1988,
Title = {Applied and Computational Complex Analysis, vol. 1},
Author = {P. Henrici},
Publisher = {Wiley},
Year = {1988},
Address = {New York}
}
@Article{Hentschel1983,
Title = {The infinite number of generalized dimensions of fractals and strange attractor},
Author = {H. G. E. Hentschel and I. Procaccia},
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Year = {1983},
Pages = {435--444},
Volume = {8},
Format = {print},
Keywords = {Fractals, Nonlinear phenomena, Strange attractors},
Refdb_id = {http://solarphysics.livingreviews.org/refdb/record/8609}
}
@TechReport{Hero2003,
Title = {Alpha-Divergence for Classification, Indexing and Retrieval (Revised)},
Author = {A. O. Hero and B. Ma and O. Michel and J. D. Gorman},
Institution = {Communications and Signal Processing Laboratory, The University of Michigan},
Year = {2003},
Number = {CSPL-334},
Owner = {Peter Harremoes},
Timestamp = {2010.09.11}
}
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@Book{Holevo2002,
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@Book{Holevo2001,
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Address = {Berlin}
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Title = {Influence Diagrams. Its Principles and Applications of Desion Analysis},
Author = {R. A. Howard and J. E. Mateson},
Institution = {Strategic Decision Group},
Year = {1981},
Address = {Menlo Park, Califonia}
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@Book{Hoyle1962,
Title = {Astronomy. A history of man's investigation of the universe},
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Timestamp = {2011.01.24}
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Title = {A method for the construction of minimum redundancy codes},
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Title = {On the convergence of {F}ourier series Orthogonal Expansions and their continuousAnalogs},
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Author = {I. A. Ibragimov and Yu. V. Linnik},
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Number = {123},
Type = {Mat-report}
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Year = {1971},
Number = {4},
Pages = {501--513},
Volume = {21},
Abstract = {A generalized negative binomial (GNB) distribution with an additional parameter $\beta$ has been obtained by using Lagrange's expansion. The parameter is such that both mean and variance tend to increase or decrease with an increase or decrease in its value but the variance increases or decreases faster than the mean. For $\beta = \frac {1}{2}$ , the mean and variance are approximately equal and so the GNB distribution resembles the Poisson distribution. When $\beta = 0$ or 1, the GNB distribution reduces to the binomial or negative binomial distribution respectively. It has been shown that the generalized negative binomial distribution converges to a Poisson-type distribution in which the variance may be more or less than the mean, depending upon the value of a parameter. Expected frequencies have been calculated for a number of examples to show that the distribution provides a very satisfactory fit in different practical situations. Its convolution property together with other properties are quite interesting.},
Copyright = {Copyright ï¿½ 1971 Society for Industrial and Applied Mathematics},
ISSN = {00361399},
Jstor_articletype = {primary_article},
Jstor_formatteddate = {Dec., 1971},
Publisher = {Society for Industrial and Applied Mathematics},
Url = {http://www.jstor.org/stable/2099602}
}
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Chapter = {4a},
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Abstract = {The performance of a sequence of estimators {Tn} of g(ÃŽÂ¸) can be measured by its inaccuracy rate $-\lim \inf_{n\rightarrow\infty} n^{-1} \log \mathbb{P}_\theta(\|T_n - g(\theta)\| > \varepsilon)$ . For fixed $\varepsilon > 0$ optimality of consistent estimators $\operatorname{wrt}$ the inaccuracy rate is investigated. It is shown that for exponential families in standard representation with a convex parameter space the maximum likelihood estimator is optimal. If the parameter space is not convex, which occurs for instance in curved exponential families, in general no optimal estimator exists. For the location problem the inaccuracy rate of M-estimators is established. If the underlying density is sufficiently smooth an optimal M-estimator is obtained within the class of translation equivariant estimators. Tail-behaviour of location estimators is studied. A connection is made between gross error and inaccuracy rate optimality.},
Copyright = {Copyright Ã‚Â© 1986 Institute of Mathematical Statistics},
ISSN = {00905364},
Jstor_articletype = {primary_article},
Jstor_formatteddate = {Jun., 1986},
Publisher = {Institute of Mathematical Statistics},
Url = {http://www.jstor.org/stable/2241241}
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@Misc{Lindenberg2011,
Title = {Tau before it was Cool},
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Note = {The site contains an unpublished manuscript from 1992},
Year = {2011},
Owner = {Peter Harremoes},
Timestamp = {2011.07.30},
Url = {http://sites.google.com/site/taubeforeitwascool}
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Title = {Determining subsets by unramified experiments},
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Publisher = {North-Holland},
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Address = {Amsterdam}
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Volume = {99},
Owner = {Peter Harremoes},
Timestamp = {2011.01.21},
Url = {http://people.wku.edu/david.neal/117/Acad/GoldenPi.pdf}
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Title = {Continued Fractions with Applications},
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Title = {On certain coding theorems for the information of order $\alpha$ and oftype$\beta$},
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Address = {Prague},
Note = {Prague, 1979},
Organization = {Czech. Acad. Science},
Publisher = {Academia Publ.}
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Title = {Der {L}ehrbrief ï¿½ber den {K}reisumfang von {Jamshid b. Mas'ud al-Kashi}},
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Year = {1953},
Address = {Berlin},
Note = {Translated by Paul Luckey
Arabic text and German translation of the ``Treatise on the Circumference'' of al-Kashi with commentary. Al-Kashi determines pi to 16 significant decimal digits.},
Series = {Abhandlungen der Deutschen Akademie der Wissenschaften , Klasse f{\"u}r Matematik und allgemeine Naturwissenschaften},
Volume = {6},
Owner = {Peter Harremoes},
Timestamp = {2011.08.17}
}
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Title = {An Axiomatic Basis for Quantum Mechanics},
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Volume = {I-II}
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Title = {Nouvelle forme du th{\'e}oreme sur la limite de probabilit{\'e}},
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@Article{Mueller-Hermes2017,
author = {M{\"u}ller-Hermes, Alexander and Reeb, David},
title = {Monotonicity of the Quantum Relative Entropy Under Positive Maps},
journal = {Annales Henri Poincar{\'e}},
year = {2017},
volume = {18},
number = {5},
pages = {1777--1788},
issn = {1424-0661},
url = {https://doi.org/10.1007/s00023-017-0550-9},
abstract = {We prove that the quantum relative entropy decreases monotonically under the application of any positive trace-preserving linear map, for underlying separable Hilbert spaces. This answers in the affirmative a natural question that has been open for a long time, as monotonicity had previously only been shown to hold under additional assumptions, such as complete positivity or Schwarz-positivity of the adjoint map. The first step in our proof is to show monotonicity of the sandwiched Renyi divergences under positive trace-preserving maps, extending a proof of the data processing inequality by Beigi (J Math Phys 54:122202, 2013) that is based on complex interpolation techniques. Our result calls into question several measures of non-Markovianity that have been proposed, as these would assess all positive trace-preserving time evolutions as Markovian.},
}
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booktitle = {2006 IEEE International Symposium on Information Theory},
year = {2006},
eventdate = {July 9 - 14, 2006},
venue = {Seattle, USA},
pages = {1021-1025},
owner = {vmware},
timestamp = {2006.11.14},
}
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Doi = {10.1103/PhysRevA.72.052310},
Eid = {052310},
Keywords = {quantum theory; entropy; probability},
Numpages = {6},
Publisher = {APS},
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Timestamp = {2010.09.11}
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pages = {2101-2105},
owner = {Ejer},
timestamp = {2015.01.05},
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Timestamp = {2012.01.07}
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@Book{Mitrinovic1970,
Title = {Analytic Inequalities},
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Address = {Tokyo},
Organization = {Physical Society of Japan}
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@InCollection{Monjardet1990,
Title = {The Consequences of {D}ilworth's Work on Lattices with Unique Irreducible Decompositions},
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Publisher = {Birkh{\"a}er},
Year = {1990},
Address = {Boston},
Editor = {Bogart, KennethP. and Freese, Ralph and Kung, JosephP.S.},
Pages = {192-199},
Series = {Contemporary Mathematicians},
Doi = {10.1007/978-1-4899-3558-8_17},
ISBN = {978-1-4899-3560-1},
Language = {English},
Url = {http://dx.doi.org/10.1007/978-1-4899-3558-8_17}
}
@Article{Montgomery2002,
Title = {Entropy and Uncertainty Relations},
Author = {H. E. {Montgomery, Jr.}},
Journal = {Chemical Educator},
Year = {2002},
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Pages = {334-338},
Volume = {7},
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Owner = {Peter Harremoes},
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@Misc{Myerson2007,
Title = {pi \& 2 pi},
Author = {G. Myerson},
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Month = {Jan.},
Note = {I heard him say this during a talk he gave at an American Math Society meeting. I don't know whether he ever put it in writing.},
Year = {2007},
Comment = {Gerry Myyerson later wrote: "I heard him say this during a talk he gave at an American Math Society meeting. I don't know whether he ever put it in writing."},
Owner = {Peter Harremoes},
Timestamp = {2011.02.20},
Url = {http://www.mathkb.com/Uwe/Forum.aspx/math/35389/pi-2-pi}
}
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Title = {With the future behind them: convergent evidence from aymara language and gesture in the crosslinguistic comparison of spatial construals of time},
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Pages = {401-450},
Volume = {30},
Owner = {Ejer},
Timestamp = {2014.10.01}
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Volume = {Part 3},
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Timestamp = {2011.01.21}
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Note = {Originally published in 3 volumes, Cambridge University Press, 1910, 1912, and 1913},
Owner = {ph},
Timestamp = {2009.04.22}
}
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Title = {The Natural Philosophy of Time},
Author = {G. J. Whitrow},
Publisher = {Claredon Press},
Year = {1980},
Address = {Oxford}
}
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Title = {Probability via Expectation},
Author = {P. Whittle},
Publisher = {Springer Verlag},
Year = {1992},
Address = {New York},
Edition = {3},
Series = {Springer texts in statistics}
}
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Title = {An {A}merican {I}ndian Model of the Universe},
Author = {B. L. Whorf},
Publisher = {Manuscript approx.},
Year = {1936}
}
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Title = {The Unreasonable Effectiveness of Mathematics in the Natural Sciences},
Author = {E. P. Wigner},
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Pages = {1-14},
Volume = {13}
}
@Book{Wiley1981,
Title = {Phylogenetics},
Author = {E. O. Wiley},
Publisher = {John Wiley \& Sons},
Year = {1981},
Address = {New York}
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Title = {$\pi$ really is wrong!},
Author = {william e emba},
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Month = {Dec.},
Year = {2010},
Owner = {Peter Harremoes},
Timestamp = {2011.02.20},
Url = {http://scientopia.org/blogs/goodmath/2010/12/08/really-is-wrong/}
}
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Title = {The Idea of a Social Science and Its Relation to Philosophy},
Author = {P. Winch},
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@Unpublished{Wu2001,
Title = {Calculation of Maximum Entropy Densities and Empirical Approximation of Size Distribution},
Author = {X. Wu},
Month = {Dec.},
Year = {2001}
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Pages = {431-445},
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Owner = {ph},
Timestamp = {2009.09.10}
}
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@Book{Yeung2002,
Title = {A First Course in Information Theory},
Author = {R. W. Yeung},
Publisher = {Kluwer},
Year = {2002},
Address = {New York}
}
@Unpublished{Yeung2008,
Title = {Theory of Network Coding},
Author = {R. W. Yeung and S. Y. R. Li and N. Cai and Z. Zhang},
Note = {Submitted for publication.},
Year = {2008},
File = {main.pdf:http\://iest2.ie.cuhk.edu.hk/~whyeung/post/netcode/main.pdf:PDF},
Journal = {Foundations and Trends in Communications and Information Theory.}
}
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Title = {Monotonic Convergence in an Information-Theoretic Law of Small Numbers},
Author = {Y. Yu},
Journal = {IEEE Tranns. Inform. Theory},
Year = {2009},
Pages = {5412-5422},
Volume = {55},
Doi = {10.1109/TIT.2009.2032727},
Owner = {Peter Harremoes},
Timestamp = {2010.09.06},
Url = {http://arxiv.org/abs/0810.5203}
}
@Unpublished{Zacharovas2008,
Title = {A {Charlier-Poisson} approach to {P}oisson approxiamtion and its applications},
Author = {V. Zacharovas and Hsien-Kuei Hwand},
Note = {ArXiv:0810.4756v1},
Month = {Oct.},
Year = {2008},
Owner = {Peter Harremoes},
Timestamp = {2010.03.29}
}
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Title = {On Mutual Information, Likelihood Ratios, and Estimation Error for AdditiveGaussianChannel},
Author = {M. Zakai},
Journal = {IEEE Trans. Inform. Theory},
Year = {2005},
Month = {Sept.},
Number = {9},
Pages = {3017-3024},
Volume = {51}
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Title = {Limiting distribution of the {G} statistics},
Author = {Tonglin Zhang},
Journal = {Statistics and Probability Letters},
Year = {2008},
Pages = {1656-1661},
Volume = {78},
Owner = {Peter Harremoes},
Timestamp = {2012.01.10},
Url = {http://www.stat.purdue.edu/~tlzhang/statprobletters2008.pdf}
}
@Article{Zhang2006,
Title = {From $\epsilon$-Entropy to {KL}-Entropy: Analysis of Minimum Information Complexity Density Estimation},
Author = {Tong Zhang},
Journal = {The Annals of Statistics},
Year = {2006},
Number = {5},
Pages = {2180--2210},
Volume = {34},
Owner = {Peter Harremoes},
Timestamp = {2010.09.11}
}
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Title = {On a new non-{S}hannon-type information Inequality},
Author = {Z. Zhang},
Journal = {Communication in Information and Systems},
Year = {2003},
Month = {June},
Number = {1},
Pages = {47-60},
Volume = {3},
Owner = {Ejer},
Timestamp = {2015.01.05}
}
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Title = {A non-{S}hannon-type conditional inequality of information quantities},
Author = {Z. Zhang and R. W. Yeung},
Journal = {IEEE Trans. Inform. Theory},
Year = {1997},
Month = {Nov.},
Pages = {1982-1985},
Volume = {43},
Owner = {Ejer},
Timestamp = {2015.01.05}
}
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Title = {On characterization of entropy function via information inequalities},
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Month = {July},
Number = {4},
Pages = {1440-1452},
Volume = {44},
Owner = {Ejer},
Timestamp = {2015.01.05}
}
@InCollection{Zhao2006,
Title = {Solving Probabilistic Combinatorial Games},
Author = {Ling Zhao and M. M{\"u}ller},
Booktitle = {Advances in Computer Games},
Publisher = {Springer Berlin / Heidelberg},
Year = {2006},
Pages = {225-238},
Series = {Lecture Notes in Computer Science},
Volume = {4250},
Doi = {10.1007/11922155_17},
Owner = {ph},
Timestamp = {2009.05.18}
}
@InProceedings{Zi1982,
Title = {Tao Te King},
Author = {Lao Zi},
Booktitle = {Sphinx},
Year = {1982},
Address = {K{\o}benhavn},
Note = {Tranlated by Piao Yu-suen}
}
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Title = {$\phi$-divergence statistics: Sampling properties and multinomial goodness-of-fitanddivergencetests},
Author = {K. Zografos and K. Ferentions and T. Papaioannou},
Journal = {Commun. Statist. Theory Meth.},
Year = {1990},
Pages = {1785-1802},
Volume = {19},
Abstract = {Asymptotic distributions for a class of goodness-of-fit statistics underlocalalternatives}
}
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Title = {Probability metrics},
Author = {V. M. Zolotarev},
Journal = {Theory Prob. Appl},
Year = {1983},
Pages = {278-302},
Volume = {28},
Owner = {ph},
Timestamp = {2007.04.02}
}
@Article{Zubkov2013,
Title = {A Complete Proof of Universal Inequalities for the Distribution Function of the Binomial Law},
Author = {A. M. Zubkov and A. A. Serov},
Journal = {Theory Probab. Appl.},
Year = {2013},
Month = {Sept.},
Number = {3},
Pages = {539-544},
Volume = {57},
Doi = {10.1137/S0040585X97986138},
Owner = {Peter},
Timestamp = {2014.01.23},
Url = {http://dx.doi.org/10.1137/S0040585X97986138 http://arxiv.org/abs/1207.3838}
}
@Article{Zyczkowski2003,
Title = {R{\'e}nyi Extrapolation of {S}hannon Entropy},
Author = {K. Zyczkowski},
Journal = {Open Systems and Information Dynamics},
Year = {2003},
Pages = {297-310},
Volume = {10}
}
@Book{Drezner2002,
Title = {Facility location. Applications and Theory},
Editor = {Z. Drezner and H. Hamacher},
Publisher = {Springer},
Year = {2002},
Address = {Berlin}
}
@Book{Gammerman1999,
Title = {Causal Models and Intelligent Data Management},
Editor = {A. Gammerman},
Publisher = {Springer},
Year = {1999},
Owner = {ph},
Timestamp = {2008.12.05}
}
@Book{Nowakowski1996,
Title = {Games of No Chance},
Editor = {R. J. Nowakowski},
Publisher = {Cambridge University Press},
Year = {1996},
Owner = {ph},
Timestamp = {2009.01.30}
}
@Proceedings{Harremoes2015b,
Title = {Proceedings of the Eighth Workshop on Information Theoretic Methods in Science and Engineering},
Year = {2015},
Editor = {J. Rissanen and P. Harremo{\"e}s and S. Forchhammer and T. Roos and P. Myllym{\"a}ki},
Number = {Report B-2015-1},
Publisher = {Univ. Helsinki, Dept. Computer Science},
Series = {Series of Publications B},
Owner = {peth},
Timestamp = {2015.12.24},
Url = {http://www.harremoes.dk/WITMSE/witmse2015proceedings.pdf}
}
@Book{Smart1964,
Title = {Problems of Space and Time},
Editor = {J. J. C. Smart},
Publisher = {London},
Year = {1964}
}
@Book{Newton1707,
Title = {Arithmetica universalis; sive De Compositione et Resolutione Arith Theory Liber},
Editor = {W. Whiston},
Publisher = {Canbrigi{/ae} Typis Academicis},
Year = {1707},
Address = {London},
Edition = {First edition},
Note = {Based on lectes by I. Newton. This edition was never accepted by Newtonhimself.}
}
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author = {S. L. Adler},
title = {Quaternionic Quantum Mechanics and Quantum Fields},
year = {1995},
publisher = {Oxford Univ. Press},
address = {New York, Oxford},
}
@Book{McCrimmon2004,
author = {K. {McC}rimmon},
title = {A Taste of Jordan Algebras},
year = {2004},
publisher = {Springer},
}
@Article{Uhlmann1970,
author = {A. Uhlmann},
title = {On the {S}hannon Entropy and Related Functionals on Convex Sets},
journal = {Reports on Mathematical Physics},
year = {1970},
volume = {1},
number = {2},
pages = {147-159},
url = {https://doi.org/10.1016/0034-4877(70)90009-1},
}
@Article{Jencova2006,
author = {A. Jen\v{c}ov{\'a} and D. Petz},
title = {Sufficiency in Quantum Statistical Inference: A Survey with Examples},
journal = {Infinite Dimensional Analysis, Quantum Probability and Related Topics},
year = {2006},
volume = {09},
number = {03},
pages = {331-351},
eprint = {http://www.worldscientific.com/doi/pdf/10.1142/S0219025706002408},
url = {https://doi.org/10.1142/S0219025706002408},
}
@Article{Gordon1974,
author = {S. R. Gordon},
title = {Associators in Simple Algebras},
journaltitle = {Pacific Journal of Mathematics},
year = {1974},
volume = {51},
number = {1},
pages = {131-141},
}
@Article{Jencova2017,
author = {A. Jen\v{c}ov{\'a}},
title = {Preservation of a quantum {R}{\'e}nyi relative entropy implies existence of a recovery map},
journal = {Journal of Physics A: Mathematical and Theoretical},
year = {2017},
volume = {50},
number = {8},
pages = {085303},
url = {http://stacks.iop.org/1751-8121/50/i=8/a=085303},
abstract = {It is known that a necessary and sufficient condition for equality in the data processing inequality (DPI) for the quantum relative entropy is the existence of a recovery map. We show that equality in DPI for a sandwiched RÃ©nyi relative Î± -entropy with ##IMG## [http://ej.iop.org/images/1751-8121/50/8/085303/aaa5661ieqn001.gif] {$\alpha >1$} is also equivalent to this property. For the proof, we use an interpolating family of L p -norms with respect to a state.},
}
@Article{Petz1988,
author = {D. Petz},
title = {Sufficiency of Channels over von {N}eumann algebras.},
journal = {Quart. J. Math. Oxford},
year = {1988},
volume = {39},
number = {1},
pages = {97-108,},
url = {https://doi.org/10.1093/qmath/39.1.97},
}
@Unpublished{Ovcharov2015,
author = {E. Y. Ovcharov},
title = {Proper Scoring Rules and Bregman Divergences},
year = {2015},
date = {Sept.},
note = {Sept. 2015. arXiv:1502.01178},
url = {https://arxiv.org/abs/1502.01178},
}
@Article{Gneiting2007,
author = {Tilmann Gneiting and Adrian E Raftery},
title = {Strictly Proper Scoring Rules, Prediction, and Estimation},
year = {2007},
volume = {102},
number = {477},
pages = {359-378},
doi = {10.1198/016214506000001437},
eprint = { http://dx.doi.org/10.1198/016214506000001437 },
url = {
http://dx.doi.org/10.1198/016214506000001437
},
journal = {Journal of the American Statistical Association},
}
@Article{Lieb1998,
author = {E. Lieb and J. Yngvason},
title = {A Guide to Entropy and the Second Law of Thermodynamics},
journal = {Notices of the AMS},
year = {1998},
volume = {45},
issue = {5},
month = {May},
pages = {571-581},
url = {http://www.ams.org/notices/199805/lieb.pdf},
}
@InBook{Lieb2010,
author = {E. Lieb and J. Yngvason},
title = {The Mathematics of the Second Law of Thermodynamics},
booktitle = {Visions in Mathematics},
year = {2010},
editor = {N. Alon and J. Bourgain and A. Connes and M. Gromov and V. Milman},
booksubtitle = {GAFA 2000 Special Volume, Part I},
publisher = {Birkh{\"a}user Basel},
pages = {334-358},
doi = {10.1007/978-3-0346-0422-2_12},
}
@Article{Barnum2014,
author = {H. Barnum and M. P M{\"u}ller and C. Ududec},
title = {Higher-order interference and single-system postulates characterizing quantum theory},
journal = {New Journal of Physics},
year = {2014},
volume = {16},
number = {12},
pages = {123029},
url = {http://stacks.iop.org/1367-2630/16/i=12/a=123029},
abstract = {We present a new characterization of quantum theory in terms of simple physical principles that is different from previous ones in two important respects: first, it only refers to properties of single systems without any assumptions on the composition of many systems; and second, it is closer to experiment by having absence of higher-order interference as a postulate, which is currently the subject of experimental investigation. We give three postulatesâ€”no higher-order interference, classical decomposability of states, and strong symmetryâ€”and prove that the only non-classical operational probabilistic theories satisfying them are real, complex, and quaternionic quantum theory, together with three-level octonionic quantum theory and ball state spaces of arbitrary dimension. Then we show that adding observability of energy as a fourth postulate yields complex quantum theory as the unique solution, relating the emergence of the complex numbers to the possibility of Hamiltonian dynamics. We also show that there may be interesting non-quantum theories satisfying only the first two of our postulates, which would allow for higher-order interference in experiments while still respecting the contextuality analogue of the local orthogonality principle.},
}
@Article{Harremoes2017b,
author = {P. Harremo{\"e}s},
title = {Maximum entropy and sufficiency},
journal = {AIP Conference Proceedings},
year = {2017},
volume = {1853},
number = {1},
pages = {040001},
eprint = {http://aip.scitation.org/doi/pdf/10.1063/1.4985352},
url = {https://doi.org/10.1063/1.4985352},
}
,
title = {Maximum entropy and sufficiency},
journal = {AIP Conference Proceedings},
year = {2017},
volume = {1853},
number = {1},
pages = {040001},
doi = {10.1063/1.4985352},
eprint = {http://aip.scitation.org/doi/pdf/10.1063/1.4985352},
url = {http://aip.scitation.org/doi/abs/10.1063/1.4985352},
abstract = { The notion of Bregman divergence and sufficiency will be defined on general convex state spaces. It is demonstrated that only spectral sets can have a Bregman divergence that satisfies a sufficiency condition. Positive elements with trace 1 in a Jordan algebra are examples of spectral sets, and the most important example is the set of density matrices with complex entries. It is conjectured that information theoretic considerations lead directly to the notion of Jordan algebra under some regularity conditions. },
}
@TechReport{Gundersen2011a,
author = {T. Gundersen},
title = {An Introduction to the Concept of Exergy and Energy Quality},
institution = {Department of Energy and Process Engineering, Norwegian University of Science and Technology},
year = {2011},
version = {4},
note = {http://www.ivt.ntnu.no/ept/fag/tep4120/innhold/Exergy%20Light%20Version%204.pdf},
url = {http://www.ivt.ntnu.no/ept/fag/tep4120/innhold/Exergy%20Light%20Version%204.pdf},
address = {Trondheim, Norway},
organization = {Department of Energy and Process Engineering, Norwegian University of Science and Technology},
}
@Article{Savage1951,
author = {L. Savage},
title = {The Theory of statistical decision},
journal = {Journal of the American Statistical Association},
year = {1951},
volume = {46},
pages = {55-67},
}
@Article{Servage1951,
author = {L. J. Servage},
title = {The Theory of Statistical Decision},
journal = {Journal of the American Statistical Association},
year = {1951},
volume = {46},
pages = {55-67},
}
@Article{Petz2003,
author = {D. Petz},
title = {Monotonicity of Quantum Relative Entropy Revisited},
journal = {Reviews in Mathematical Physics},
year = {2003},
volume = {15},
number = {01},
pages = {79-91},
doi = {10.1142/S0129055X03001576},
eprint = {http://www.worldscientific.com/doi/pdf/10.1142/S0129055X03001576},
url = {http://www.worldscientific.com/doi/abs/10.1142/S0129055X03001576},
}
@Article{Harremoes2017,
author = {P. Harremo{\"e}s},
title = {Divergence and Sufficiency for Convex Optimization},
journal = {Entropy},
year = {2017},
issuetitle = {Convex Optimization and Entropy},
volume = {19},
number = {5},
pages = {Article no. 206},
issn = {1099-4300},
eprint = {arXiv:1701.01010},
eprinttype = {arXiv},
url = {https://doi.org/10.3390/e19050206},
}
@Book{Alfsen2003,
author = {E. M. Alfsen and F. W. Shulz},
title = {Geometry of State Spaces of Operator Algebras},
year = {2003},
publisher = {Birkh{\"a}user},
address = {Boston},
}
@InProceedings{Barnum2015,
author = {H. Barnum and J. Barret and M. Krumm and M. P. M{\"u}ller},
title = {Entropy, majorization and thermodynamics in general probabilistic theories},
booktitle = {Proceedings of the 12th International Workshop on Quantum Physics and Logic},
year = {2015},
editor = {C. Heunen and P. Selinger and J. Vicary},
eventdate = {July 15-17, 2015},
venue = {Oxford, U.K.},
volume = {195},
series = {Electronic Proceedings in Theoretical Computer Science},
pages = {43-58},
eprint = {arXiv:1508.03107},
eprinttype = {arXiv},
url = {https://arxiv.org/pdf/1508.03107.pdf},
}
@InProceedings{Harremoes2017a,
author = {P. Harremo{\"e}s},
title = {Quantum Information on Spectral Sets},
booktitle = {2017 IEEE International Symposium on Information Theory},
year = {2017},
eventtitle = {ISIT2017},
eventdate = {June 25-30 2017},
venue = {Aachen, Germany},
pages = {1549-1553},
eprint = {arXiv:1701.06688},
eprinttype = {arXiv},
url = {https://doi.org/978-1-5090-4096-4/17/$31.00},
}
@Article{Krumm2017,
author = {Marius Krumm and Howard Barnum and Jonathan Barrett and Markus P. M{\"u}ller},
title = {Thermodynamics and the structure of quantum theory},
journal = {New Journal of Physics},
year = {2017},
volume = {19},
number = {4},
pages = {043025},
url = {http://stacks.iop.org/1367-2630/19/i=4/a=043025},
abstract = {Despite its enormous empirical success, the formalism of quantum theory still raises fundamental questions: why is nature described in terms of complex Hilbert spaces, and what modifications of it could we reasonably expect to find in some regimes of physics? Here we address these questions by studying how compatibility with thermodynamics constrains the structure of quantum theory. We employ two postulates that any probabilistic theory with reasonable thermodynamic behaviour should arguably satisfy. In the framework of generalised probabilistic theories, we show that these postulates already imply important aspects of quantum theory, like self-duality and analogues of projective measurements, subspaces and eigenvalues. However, they may still admit a class of theories beyond quantum mechanics. Using a thought experiment by von Neumann, we show that these theories admit a consistent thermodynamic notion of entropy, and prove that the second law holds for projective measurements and mixing procedures. Furthermore, we study additional entropy-like quantities based on measurement probabilities and convex decomposition probabilities, and uncover a relation between one of these quantities and Sorkinï¿½s notion of higher-order interference.},
}
@Article{Wojciechowski1975,
author = {S. Wojciechowski},
title = {Symmetric transition probabilities in convex model of quantum mechanics},
journal = {Reports on Mathematical Physics},
year = {1975},
volume = {8},
month = dec,
pages = {387-390},
doi = {10.1016/0034-4877(75)90080-4},
adsnote = {Provided by the SAO/NASA Astrophysics Data System},
adsurl = {http://adsabs.harvard.edu/abs/1975RpMP....8..387W},
}
@Article{Pitrik2015,
author = {Pitrik, J{\'o}zsef and Virosztek, D{\'a}niel},
title = {On the Joint Convexity of the {B}regman Divergence of Matrices},
journal = {Letters in Mathematical Physics},
year = {2015},
volume = {105},
number = {5},
pages = {675--692},
issn = {1573-0530},
url = {https://doi.org/10.1007/s11005-015-0757-y},
abstract = {We characterize the functions for which the corresponding Bregman divergence is jointly convex on matrices. As an application of this characterization, we derive a sharp inequality for the quantum Tsallis entropy of a tripartite state, which can be considered as a generalization of the strong subadditivity of the von Neumann entropy. (In general, the strong subadditivity of the Tsallis entropy fails for quantum states, but it holds for classical states.) Furthermore, we show that the joint convexity of the Bregman divergence does not imply the monotonicity under stochastic maps, but every monotone Bregman divergence is jointly convex.},
}
@Article{Amari2009,
author = {S. I. Amari},
title = {$\alpha$-Divergence Is Unique, Belonging to Both $f$-Divergence and Bregman Divergence Classes},
journal = {IEEE Transactions on Information Theory},
year = {2009},
volume = {55},
number = {11},
month = {Nov},
pages = {4925-4931},
issn = {0018-9448},
doi = {10.1109/TIT.2009.2030485},
keywords = {geometry;optimisation;statistical distributions;Bregman divergence;Fisher metric;Kullback-Leibler divergence;alpha-divergence;f-divergence;geometrical structure;information monotonicity;optimization problems;positive arrays;probability distributions;Entropy;Information geometry;Matrix decomposition;Physics;Probability distribution;$f$-divergence;Bregman divergence;Fisher information;canonical divergence;dually flat structure;information geometry;information monotonicity},
}
@MastersThesis{Idel2013,
author = {M. Idel},
title = {On the structure of positive maps},
institution = {Technische Universit{\" a}t M{\" u}nchen},
year = {2013},
type = {Master thesis},
url = {https://www-m5.ma.tum.de/foswiki/pub/M5/CQC/Masterarbeit.pdf},
}
@Article{Topsoe2008,
author = {Tops{\o}e, Flemming},
title = {Game theoretical optimization inspired by information theory},
journal = {Journal of Global Optimization},
year = {2008},
volume = {43},
number = {4},
pages = {553},
issn = {1573-2916},
doi = {10.1007/s10898-008-9340-8},
url = {http://dx.doi.org/10.1007/s10898-008-9340-8},
abstract = {Inspired by previous work on information theoretical optimization problems, the basics of an axiomatic theory of certain special two-person zero-sum games is developed. One of the players, ``Observer'', is imagined to have a ``mind'', the other, ``Nature'', not. These ideas lead to un-symmetric modeling as the two players are treated quite differently. Basic concavity- and convexity results as well as a general minimax theorem are derived from the axioms.},
}
@InProceedings{Topsoe2011,
author = {F. Tops{\o}e},
title = {Cognition and Inference in an Abstract Setting},
booktitle = {Proceedings WITMSE 2011},
year = {2011},
location = {Helsinki, Finland},
pages = {67-70},
url = {http://www.helsinki.fi/witmse2011/witmse2011-proceedings.pdf},
}
@Article{Kiwiel1997a,
author = {Krzysztof C. Kiwiel},
title = {Free-steering Relaxation Methods for Problems with Strictly Convex Costs and Linear Constraints},
journal = {Math. Oper. Res.},
year = {1997},
volume = {22},
number = {2},
month = may,
pages = {326--349},
issn = {0364-765X},
doi = {10.1287/moor.22.2.326},
url = {http://dx.doi.org/10.1287/moor.22.2.326},
acmid = {282529},
address = {Institute for Operations Research and the Management Sciences (INFORMS), Linthicum, Maryland, USA},
issue_date = {May 1997},
keywords = {B-functions, convex programming, dual coordinate ascent, entropy maximization, nondifferentiable optimization, relaxation methods},
numpages = {24},
publisher = {INFORMS},
}
@Article{Kiwiel1997,
author = {Krzysztof C. Kiwiel},
title = {Proximal Minimization Methods with Generalized Bregman Functions},
journal = {SIAM Journal on Control and Optimization},
year = {1997},
volume = {35},
number = {4},
pages = {1142-1168},
doi = {10.1137/S0363012995281742},
eprint = {http://dx.doi.org/10.1137/S0363012995281742},
url = {http://dx.doi.org/10.1137/S0363012995281742},
}
@Article{Bernardo1978,
author = {J. M. Bernardo},
title = {Expected Information as Expected Utility},
journal = {The Annals of Statistics},
year = {1978},
volume = {7},
number = {3},
month = {May},
pages = {686-690},
note = {Institute of Mathematical Statistics},
url = {http://www.jstor.org/stable/2958753},
}
@InProceedings{No2015,
author = {A. No and T. Weissman},
title = {Universality of logarithmic loss in lossy compression},
booktitle = {2015 IEEE International Symposium on Information Theory},
year = {2015},
eventtitle = {ISIT2015},
month = {June},
pages = {2166-2170},
doi = {10.1109/ISIT.2015.7282839},
issn = {2157-8095},
keywords = {data compression;rate distortion theory;refinement calculus;arbitrary distortion criterion;discrete memoryless source;fixed length lossy compression problem;logarithmic loss universality;rate-distortion;successive refinement problem;Decoding;Distortion;Distortion measurement;Encoding;Loss measurement;Rate-distortion;Fixed-length lossy compression;logarithmic loss;rate-distortion;successive refinability},
}
@Article{Jaynes1957b,
author = {E. T. Jaynes},
title = {Information Theory and Statistical Mechanics, {II}},
journal = {Physical Reviews},
year = {1957},
volume = {108},
pages = {171-190},
}
@Book{Han2002,
author = {Te Sun Han and K. Kobayashi},
title = {Mathematics of Information and Coding},
year = {2002},
translator = {J. Suzuki},
volume = {203},
series = {Translations of Mathematical Monographs},
publisher = {American Mathematical Society},
location = {Providence, USA},
}
@Unpublished{Marletto2016,
author = {C. Marletto},
title = {Constructor Theory of Thermodynamics},
year = {2016},
note = {arXiv:1608.02625},
}
@Article{Deutch2014,
author = {D. Deutch and C. Marletto},
title = {Constructor theory of information},
journal = {Proceedings of the Royal Society A},
year = {2014},
month = {December},
doi = {10.1098/rspa.2014.0540},
}
@InCollection{Bauschke2001,
author = {Heinz H. Bauschke and Jonathan M. Borwein},
title = {Joint and Separate Convexity of the Bregman Distance},
booktitle = {Inherently Parallel Algorithms in Feasibility and Optimization and their Applications},
year = {2001},
editor = {Dan Butnariu, Yair Censor and Simeon Reich},
volume = {8},
series = {Studies in Computational Mathematics},
publisher = {Elsevier},
pages = {23 - 36},
doi = {https://doi.org/10.1016/S1570-579X(01)80004-5},
url = {http://www.sciencedirect.com/science/article/pii/S1570579X01800045},
abstract = {Algorithms involving Bregman projections for solving optimization problems have beenreceiving much attention lately. Several of these methods rely crucially on the joint convexity of the Bregman distance. In this note, we study joint and separate convexity of Bregman distances. To bring out the main ideas more clearly, we consider first functions defined on an open interval. Our main result states that the Bregman distance of a given function is jointly convex if and only if the reciprocal of its second derivative is concave. We observe that Bregman distances induced by the two most popular choicesï¿½the energy and the Boltzmann-Shannon entropyï¿½are limiting cases in a profound sense. This result is generalized by weakening assumptions on differentiability and strict convexity. We then consider general, not necessarily separable, convex functions. The characterization of joint convexity has a natural and beautiful analog. Finally, we discuss spectral functions, where the situation is less clear. Throughout, we provide numerous examples to illustrate our results. },
issn = {1570-579X},
keywords = {:Bregman distance, convex function, joint convexity, separate convexity },
}
@Article{Hansen2015,
author = {Hansen, Frank and Zhang, Zhihua},
title = {Characterisation of Matrix Entropies},
journal = {Letters in Mathematical Physics},
year = {2015},
volume = {105},
number = {10},
pages = {1399--1411},
issn = {1573-0530},
url = {https://doi.org/10.1007/s11005-015-0784-8},
abstract = {The notion of matrix entropy was introduced by Tropp and Chen with the aim of measuring the fluctuations of random matrices. It is a certain entropy functional constructed from a representing function with prescribed properties, and Tropp and Chen gave some examples. We give several abstract characterisations of matrix entropies together with a sufficient condition in terms of the second derivative of their representing function.},
}
@Article{Cover1991a,
author = {T. M. Cover},
title = {Universal portfolios},
journal = {Math. Finance},
year = {1991},
volume = {1},
pages = {1-29},
}
@Article{Bikhchandani2011,
author = {Bikhchandani, Sushil and Segal, Uzi},
title = {Transitive regret},
journal = {Theoretical Economics},
year = {2011},
volume = {6},
number = {1},
pages = {95--108},
issn = {1555-7561},
doi = {10.3982/TE738},
url = {http://dx.doi.org/10.3982/TE738},
keywords = {Regret, transitivity, nonexpected utility, D81},
publisher = {Blackwell Publishing Ltd},
}
@Unpublished{Barnum2017,
author = {Howard Barnum and Ciarï¿½n M. Lee and Carlo Maria Scandolo and John H. Selby},
title = {Ruling out higher-order interference from purity principles},
year = {2017},
date = {2017-04-17},
abstract = {As first noted by Rafael Sorkin, there is a limit to quantum interference. The interference pattern formed in a multi-slit experiment is a function of the interference patterns formed between pairs of slits; there are no genuinely new features resulting from considering three slits instead of two. Sorkin has introduced a hierarchy of mathematically conceivable higher-order interference behaviours, where classical theory lies at the first level of this hierarchy and quantum theory theory at the second. Informally, the order in this hierarchy corresponds to the number of slits on which the interference pattern has an irreducible dependence. Many authors have wondered why quantum interference is limited to the second level of this hierarchy. Does the existence of higher-order interference violate some natural physical principle that we believe should be fundamental? In the current work we show that natural physical principles can be found which limit interference behaviour to second-order, or "quantum-like", interference, but that do not restrict us to the entire quantum formalism. We work within the operational framework of generalised probabilistic theories, and prove that any theory satisfying Causality, Purity Preservation, Pure Sharpness, and Purification---four principles that formalise the fundamental character of purity in nature---exhibits at most second-order interference. Hence these theories are, at least conceptually, very "close" to quantum theory. Along the way we show that systems in such theories correspond to Euclidean Jordan Algebras. Hence, they are self-dual and, moreover, multi-slit experiments in such theories are described by pure projectors.},
eprint = {1704.05106v1},
eprintclass = {quant-ph},
eprinttype = {arXiv},
file = {online:http\://arxiv.org/pdf/1704.05106v1:PDF},
keywords = {quant-ph},
}
@Article{Takahashi2017,
author = {Kaito Takahashi and Akio Fujiwara},
title = {Information geometry of sandwiched Rényi $\alpha$-divergence},
journal = {Journal of Physics A: Mathematical and Theoretical},
year = {2017},
volume = {50},
number = {16},
pages = {165301},
url = {http://stacks.iop.org/1751-8121/50/i=16/a=165301},
abstract = {Information geometrical structure ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn003.gif] {$\left({{g}^{\left({{D}_{\alpha}}\right)}},{{\nabla}^{\left({{D}_{\alpha}}\right)}},{{\nabla}^{\left({{D}_{\alpha}}\right)\ast}}\right)$} induced from the sandwiched Rényi ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn004.gif] {$\alpha $} -divergence ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn005.gif] {${{D}_{\alpha}}\left(\rho \parallel \sigma \right):=\frac{1}{\alpha \left(\alpha -1\right)}\log \,\text{Tr}\,{{\left({{\sigma}^{\frac{1-\alpha}{2\alpha}}}\rho \,{{\sigma}^{\frac{1-\alpha}{2\alpha}}}\right)}^{\alpha}}{{}^{{}}}$} on a finite quantum state space ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn006.gif] {$\mathcal{S}$} is studied. It is shown that the Riemannian metric ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn007.gif] {${{g}^{\left({{D}_{\alpha}}\right)}}$} is monotone if and only if ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn008.gif] {$\alpha \in \left(-\infty,-1\right]{\cup}^{}\left[\frac{1}{2},\infty \right)$} , and that the quantum statistical manifold ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn009.gif] {$\left(\mathcal{S},{{g}^{\left({{D}_{\alpha}}\right)}},{{\nabla}^{\left({{D}_{\alpha}}\right)}},{{\nabla}^{\left({{D}_{\alpha}}\right)\ast}}\right)$} is dually flat if and only if ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn010.gif] {$\alpha =1$} .},
}
@Article{Chen2014,
author = {R. Y. Chen and J.A. Tropp},
title = {Subadditivity of matrix $\phi$-entropy and concentration of random matrices},
journal = {Electron. J. Probab.},
year = {2014},
volume = {19},
number = {paper 27},
pages = {1-30},
url = {https://doi.org/10.1214/EJP.v19-2964},
}
@InCollection{Farnia2016,
author = {Farnia, Farzan and Tse, David},
title = {A Minimax Approach to Supervised Learning},
booktitle = {Advances in Neural Information Processing Systems 29},
year = {2016},
editor = {D. D. Lee and M. Sugiyama and U. V. Luxburg and I. Guyon and R. Garnett},
publisher = {Curran Associates, Inc.},
pages = {4240--4248},
url = {http://papers.nips.cc/paper/6247-a-minimax-approach-to-supervised-learning.pdf},
}
@Unpublished{Harremoes2017c,
author = {P. Harremo{\"e}s},
title = {Entropy on Spin Factors},
year = {2017},
howpublished = {arXiv},
pubstate = {Submitted},
url = {http://arxiv.org/abs/1707.03222},
}
@Comment{jabref-meta: databaseType:biblatex;}