# Difference between revisions of "DiV MaxEnt"

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==unnamed folder (QM?)== | ==unnamed folder (QM?)== | ||

*R N Silver '''Quantum Statistical Inference''' Workshop on Physics and Computation (1992) Volume: 65, Issue: 4 | *R N Silver '''Quantum Statistical Inference''' Workshop on Physics and Computation (1992) Volume: 65, Issue: 4 | ||

− | * | + | *Igor Vajda '''On Convergence of Information Contained in Quantized Observations''' IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 48, NO. 8, AUGUST 2002 |

+ | *John Skilling '''Probability and Geometry''' AIP Conf. Proc. 954, pp. 39-46 | ||

==unnamed folder (sense of QM?)== | ==unnamed folder (sense of QM?)== |

## Revision as of 22:59, 8 January 2013

## unnamed folder (drinking bird toy?)

- E. T. Jaynes
**Note on thermal heating efﬁciency**Am. J. Phys. 71 ~2!, February 2003 - Richard R. Annis
**Radioactive Battery 111604 Part one**6th August 1952 - Ralph Lorenz
**Finite-time thermodynamics of an instrumented drinking bird toy**Am. J. Phys. 74 (8), August 2006 - E. T. Jaynes
**The Second Law as Physical Fact and as Human Inference**

## unnamed folder (random walk?)

- Guth, Eugene
**New Class of Classical Uncertainty Relations Giving Uncertainty for Long and Certainty for Short Times**Phys. Rev. 126, 1213–1215 (1962) - Joseph B. Keller
**Diffusion at finite speed and random walks**PNAS Feb 3, 2004, vol. 101 no. 5 - EUGENE C. ECKSTEIN, JEROME A. GOLDSTEIN, & MARK LEGGAS
**THE MATHEMATICS OF SUSPENSIONS: KAC WALKS AND ASYMPTOTIC ANALYTICITY**Published July 10, 2000. - Peter Kostädt and Mario Liu
**Causality and stability of the relativistic diffusion equation**Phys. Rev. D 62, 023003 (2000) - Peter Kostädt and Mario Liu
**On the Causality and Stability of the Relativistic Diffusion Equation**Phys. Rev. D 62, 023003 (2000) - Josep M. Porr`a and Jaume Masoliver, George H. Weiss
**When the telegrapher's equation furnishes a better approximation to the transport equation than the diffusion approximation**Phys. Rev. E 55, 7771–7774 (1997) - J Almaguer and H Larralde
**A relativistically covariant random walk**J. Stat. Mech. (2007) P08019 - Jaume Masoliver and George H Weiss
**Finite-velocity diffusion**1996 Eur. J. Phys. 17 190 - E. Orsingher, A. De Gregorio
**Random Flights in Higher Spaces**J Theor Prob, December 2007, Volume 20, Issue 4, pp 769-806 - Stadje, Wolfgang
**Exact probability distributions for noncorrelated random walk models**J Statist Physics, Volume 56, Issue 3-4, pp. 415-435 - V Balakrishnan and S Lakshmibala
**On the connection between biased dichotomous diffusion and the one-dimensional Dirac equation**2005 New J. Phys. 7 11

## unnamed folder (QM?)

- R N Silver
**Quantum Statistical Inference**Workshop on Physics and Computation (1992) Volume: 65, Issue: 4 - Igor Vajda
**On Convergence of Information Contained in Quantized Observations**IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 48, NO. 8, AUGUST 2002 - John Skilling
**Probability and Geometry**AIP Conf. Proc. 954, pp. 39-46

## unnamed folder (sense of QM?)

- David S. Weiss, Brenton C. Young, and Steven Chu
**Precision measurement of the photon recoil of an atom using atomic interferometry**Phys. Rev. Lett. 70, 2706–2709 (1993) - Z. Haba, H. Kleinert,
**Schrödinger wave functions from classical trajectories**Physics Letters A Volume 294, Issues 3–4, 25 February 2002, Pages 139–142 - Piotr Garbaczewski
**Relativistic problem of random flights and Nelson's stochastic mechanics**Physics Letters A Volume 164, Issue 1, 6 April 1992, Pages 6–16 - John S. Bell
**On the Einstein Podolsky Rosen paradox** - A.F. KRACKLAUER,
**La “théorie” de Bell est-elle la plus grande méprise de l’histoire de la physique?**Ann. Fond. Louis de Broglie, Vol. 25, n°2, 2000. - J. Avendaño, L. de la Peña,
**Reordering of the ridge patterns of a stochastic electromagnetic field by diffraction due to an ideal slit**Phys. Rev. E 72, 066605 (2005) - L. Fortunato, S. De Baerdemacker, K. Heyde
**Solution of the Bohr hamiltonian for soft triaxial nuclei**Phys.Rev. C74 (2006) 014310 - C. P. Malta, Trevor S. Marshall , Emilio Santos
**Wigner density of a rigid rotator**Phys. Rev. E 55, 2551–2556 (1997) - A. Garrett Lisi
**Quantum mechanics from a universal action reservoir**arXiv:physics/0605068v1 [physics.pop-ph] 8 May 2006 - B. Holdom
**Approaching quantum behavior with classical fields**J.Phys.A39:7485,2006 - H J Hrgovcic
**Discrete representations of the n-dimensional wave equation**1992 J. Phys. A: Math. Gen. 25 1329 - Kwok Sau Fa
**Fokker-Planck equation with variable diffusion coefficient in the Stratonovich approach**arXiv:cond-mat/0503331v2 [cond-mat.soft] 15 Mar 2005

## unnamed folder

- Tommaso Toffoli,
**How much of physics is just computation?**, Superlattices and Microstructures, 23, 381-406 (1998) - Norman Margolus, Lev B. Levitin
**The maximum speed of dynamical evolution**Physica D 120 (1998) 188-195

## unnamed folder (Probability Distance?)

- Anand G. Dabak , Don H. Johnson
**Relations between Kullback-Leibler distance and Fisher information**(2002) - Jianhua Lin,
**Divergence Measures Based on the Shannon Entropy**IEEE TRANSACTIONS ON INFORMATION THEORY. VOL. 37, NO. I , JANUARY 1991 - S.M. Ali and D. Silvey.
**A general class of coefﬁcients of divergence of one distribution from another.**J. Roy. Stat. Soc., Ser. B, 28: 131–142, 1966.

## Bayesian Folder

- H. M. Franca, A. Maia, Jr., and C. P. Malta
**Maxwell Electromagnetic Theory, Planck's Radiation Law, and Bose-Einstein Statistics**Foundations... 26, 1996 - J. Aitchison
**On Coherence in Parametric Density Estimation**Vol. 77, No. 4, Dec., 1990 > On Coherence in Para... - Anand G. Dabak , Don H. Johnson
**Relations between Kullback-Leibler distance and Fisher information**(2002) - S. Kullback; R. A. Leibler.
**On Information and Sufficiency**The Annals of Mathematical Statistics, Vol. 22, No. 1 (Mar., 1951), 79-86. - J. Tersoff and David Bayer
**Quantum Statistics for Distinguishable Particles**Phys. Rev. Lett. 50, 2038–2038 (1983) - Shore, J., Johnson, R.
**Properties of cross-entropy minimization**IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. IT-27, NO, 4, JULY - Edwin T. Jaynes
**Prior Probabilities**IEEE Transactions On Systems Science and Cybernetics, vol. sec-4, no. 3, 1968, pp. 227-241 - M. Grendar, Jr., M. Grendar
**Maximum Probability and Maximum Entropy methods: Bayesian interpretation**arXiv:physics/0308005v2 [physics.data-an] 9 Sep 2005 - R E Nettleton
**Fisher information as thermodynamic entropy model in a classical fluid**2003 J. Phys. A: Math. Gen. 36 2443 - Harremoes, P.
**Binomial and Poisson distributions as maximum entropy distributions**IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 47, NO. 5, JULY 2001 - E. T. Jaynes
**Information Theory and Statistical Mechanics**Phys. Rev. 106, 620–630 (1957) - Robert K. Niven
**Combinatorial Information Theory: I. Philosophical Basis of Cross-Entropy and Entropy**arXiv:cond-mat/0512017v5 [cond-mat.stat-mech] 20 Apr 2007 - Robert L. Wolpert , Katja Ickstadt
**Reflecting Uncertainty in Inverse Problems: A Bayesian Solution using Lévy Processes**INVERSE PROBLEMS 2004 1759--1771 - ROBERT L. WOLPERT, KATJA ICKSTADT, MARTIN B. HANSEN
**A Nonparametric Bayesian Approach to Inverse Problems**BAYESIAN STATISTICS 7, pp. 000–000 Oxford University Press, 2003 - Ariel Caticha, Roland Preuss
**Maximum entropy and Bayesian data analysis: Entropic prior distributions**Physical Review E - PHYS REV E , vol. 70, no. 4, 2004 - R. Fischer, M. Mayer, W. von der Linden, and V. Dose
**Enhancement of the energy resolution in ion-beam experimentswith the maximum-entropy method**Phys. Rev. E 55, 6667–6673 (1997) - Fischer, R.; Mayer, M.; von der Linden, W.; Dose, V.
**Energy resolution enhancement in ion beam experiments with Bayesian probability theory**Nuclear Instruments and Methods in Physics Research Section B, Volume 136, Issue 1-4, p. 1140-1145. - W. Von der Linden , R. Preuss , V. Dose
**The Prior-Predictive Value: A Paradigm of Nasty Multi-Dimensional Integrals**(1999) - R Fischer, W. Von Der Linden, V. Dose
**Adaptive Kernels And Occam's Razor In Inversion Problems**Proceeding of the MaxEnt Conference 1996 South Africa

## Informatics Folder

- Alfredo Luis, Alfonso Rodil
**Alternative measures of metrological resolution: contradictions and possible lack of limits**PACS numbers: 03.65.Ta, 42.50.St, 42.50.Dv, Dated: January 15, 2012 - Robert E. Kass
**The Geometry of Asymptotic Inference**Statist. Sci. Volume 4, Number 3 (1989), 188-219. - Harold Jeffreys
**An Invariant Form for the Prior Probability in Estimation Problems** - Bernardo
**Reference posterior distribution for bayesian inference** - Sýkora, Stanislav,
**Quantum theory and the bayesian inference problems**, Journal of Statistical Physics, Volume 11, Issue 1, 1974 - M. Raviculé, M. Casas, and A. Plastino
**Information and metrics in Hilbert space**Phys. Rev. A 55, 1695–1702 (1997) - P. W. Lamberti, A. P. Majtey, A. Borras, M. Casas, and A. Plastino
**Metric character of the quantum Jensen-Shannon divergence**Phys. Rev. A 77, 052311 (2008) - Samuel L. Braunstein and Carlton M. Caves
**Statistical distance and the geometry of quantum states**Phys. Rev. Lett. 72, 3439–3443 (1994) - W. K. Wootters
**Statistical distance and Hilbert space**Phys. Rev. D 23, 357–362 (1981) - James O. Berger, Jose M. Bernardo and Dongchu Sun
**THE FORMAL DEFINITION OF REFERENCE PRIORS**The Annals of Statistics 2009, Vol. 37, No. 2, 905–938

## General

- Cox, R. T.
**Probability, Frequency and Reasonable Expectation**American Journal of Physics, Volume 14, Issue 1, pp. 1-13 (1946) - Alfréd Rényi,
**On Measures of Entropy and Information**Proc. Fourth Berkeley Symp. on Math. Statist. and Prob., Vol. 1 (Univ. of Calif. Press, 1961), 547-561. - CLAUDE E. SHANNON,
**Communication in the Presence of Noise**, PROCEEDINGS OF THE IEEE, VOL. 86, NO. 2, FEBRUARY 1998 447

- Jaynes, E. T.,
**The Minimum Entropy Production Principle**, Ann. Rev. Phys. Chem. 31, 579, 1980 - Jaynes, E. T.,
**Macroscopic Prediction**, in Complex Systems - Operational Approaches, H. Haken (ed.), Springer-Verlag, Berlin, p. 254, 1985 - Jaynes, E. T.,
**Probability in Quantum Theory**, in Complexity, Entropy, and the Physics of Information, W. H. Zurek (ed.), Addison-Wesley, Redwood City, CA, p. 381, 1990 - Ariel Caticha,
**From Inference to Physics**, Presented at MaxEnt 2008, the 28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (July 8-13, 2008, Boraceia Beach, Sao Paulo, Brazil) - Ariel Caticha,
**Entropic Dynamics**, Presented at MaxEnt 2001, the 21th International Workshop on Bayesian Inference and Maximum Entropy Methods (August 4-9, 2001, Baltimore, MD, USA) - Ariel Caticha,
**Updating Probabilities**, Presented at MaxEnt 2006, the 26th International Workshop on Bayesian Inference and Maximum Entropy Methods (July 8-13, 2006, Paris, France) - Ariel Caticha,
**Relative Entropy and Inductive Inference**, Presented at MaxEnt23, the 23rd International Workshop on Bayesian Inference and Maximum Entropy Methods (August 3-8, 2003, Jackson Hole, WY, USA) - Skilling, John,
**The Canvas of Rationality**, BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING: Proceedings of the 28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering. AIP Conference Proceedings, Volume 1073, pp. 67-79 (2008). - Sýkora, Stanislav,
**Quantum theory and the bayesian inference problems**, Journal of Statistical Physics, Volume 11, Issue 1, 1974

- Shore, J., Johnson, R.
**Axiomatic Derivation of the Principle of Maximum Entropy and the Principle of Minimum Cross-Entropy**

IEEE TRANSACTlIONS ON lNFORMATION THEORY, VOL. m26, NO. 1, JANUARY 1980

- Shore, J., Johnson, R.
**Properties of cross-entropy minimization**IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. IT-27, NO, 4, JULY - Kevin H. Knuth, John Skilling,
**Foundations of Inference**, Axioms 2012, 1(1):38-73 - Kevin H. Knuth,
**The Origin of Probability and Entropy**, Bayesian inference and Maximum Entropy Methods in Science and Engineering, Sao Paulo, Brazil, 2008 - Y. Tikochinsky,
**Feynman Rules for Probability Amplitudes**, International Journal of Theoretical Physics, Vol. 27, No. 5, 1988 - Y. Tikochinsky*, N. Z. Tishby*, and R. D. Levine ,
**Consistent Inference of Probabilities for Reproducible Experiments**, Phys. Rev. Lett. 52, 1357–J. M. Borwein, A. S. Lewis and D. Noll1360 (1984) - P. Ván
**Unique additive information measures - Boltzmann-Gibbs-Shannon, Fisher and beyond**Physica A, 2006, V365, p28-33

- Jos Uffink,
**The Constraint Rule of the Maximum Entropy Principle**, Studies of the History and Philosophy of Modern Physics, 27, 47-49, 1996 - Jos Uffink,
**Can the Maximum Entropy Principle Be Explained as a Consistency Requirement?**, Stud.Hist.Phil.Mod.Phys. 26, 223-261, 1995 - Tommaso Toffoli,
**How much of physics is just computation?**, Superlattices and Microstructures, 23, 381-406 (1998) - Tommaso Toffoli,
**Action, Or the Fungibility of Computation**, Feynman and Computation, 349-392 (1999) - Tommaso Toffoli,
**Occam, Turing, von Neumann, Jaynes: How much can you get for how little?**, proceedings of the conference ACRI '94: Automi Cellulari per la Ricerca e l'Industria, Rende (CS), Italy, September 29--30, 1994

- Plastino, A.; Plastino, A. R.,
**On the universality of thermodynamics' Legendre transform structure**, Physics Letters A 226 (1997) 257-263 - A. Plastino, E. M. F. Curado,
**Equivalence between maximum entropy principle and enforcing dU=TdS**, Phys. Rev. E 72, 047103 (2005) - A. Plastino, A. R. Plastino, B H Soffer,
**Fisher information and thermodynamics' 1st. law**, arXiv:cond- mat/0509697 v2 28 Sep 2005 - F. Pennini, A. Plastino,
**Heisenberg-Fisher thermal uncertainty measure**, Phys. Rev. E 69, 057101 (2004) - F. Pennini and A. Plastino,
**Reciprocity relations between ordinary temperature and the Frieden-Soffer Fisher temperature**, Phys. Rev. E 71, 047102 (2005) - A. Hernando, A. Plastino, A. R. Plastino,
**MaxEnt and dynamical information**, arXiv:1201.0889v1 [physics.data-an] 4 Jan 2012

- Michael E. Fisher
**Solution of a Combinatorial Problem—Intermediate Statistics**American Journal of Physics -- January 1962 -- Volume 30, Issue 1, pp. 49 - B. Roy Frieden and Bernard H. Soffer
**Lagrangians of physics and the game of Fisher-information transfer**Phys. Rev. E 52, 6917–6917 (1995) - Humphrey J. Maris and Leo P. Kadanoff
**Teaching the renormalization group**American Journal of Physics -- June 1978 -- Volume 46, Issue 6, pp. 652 - W. K. Wootters
**Statistical distance and Hilbert space**Phys. Rev. D 23, 357–362 (1981) - Kurt Wiesenfeld
**Resource Letter: ScL-1: Scaling laws**American Journal of Physics -- September 2001 -- Volume 69, Issue 9, pp. 938 - V Dose
**Bayesian inference in physics: case studies**2003 Rep. Prog. Phys. 66 1421 - Anand G. Dabak , Don H. Johnson
**Relations between Kullback-Leibler distance and Fisher information**(2002)

## Unfolding

- E.T. jaynes
**Prior information and ambiguity in inverse problem**SIAM-AMS Proceeding V14 1984 - S.F. Gull and J. Skilling,
**Maximum Entropy Image Reconstruction: General Algorithm**, Monthly Notices of the Royal Astronomical Society, Vol. 211, NO.1, P. 111, 1984 - S.F. Gull and J. Skilling,
**Maximum entropy method in image processing'**, IEE PROCEEDINGS, Vol. 131, Pt. F, No. 6, OCTOBER 1984 - J. M. Borwein, A. S. Lewis and D. Noll
**Maximum Entropy Reconstruction Using Derivative Information, Part 1: Fisher Information and Convex Duality** - J. M. Borwein , A. S. Lewis , M. N. Limber , D. Noll
**Maximum Entropy Spectral Analysis Using Derivative Information Part 2: Computational Results** - FRÖHNER F. H.
**Assigning uncertainties to scientific data** - K. Zarb Adami
**Variational Methods in Bayesian Deconvolution**PHYSTAT2003, SLAC, Stanford, California, September 8-11, 2003 - Marcel Reginattoa, Paul Goldhagena, Sonja Neumannb,
**Spectrum unfolding, sensitivity analysis and propagation of uncertainties with the maximum entropy dec*Shore, J., Johnson, R.**Properties of cross-entropy minimization**IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. IT-27, NO, 4, JULYonvolution code MAXED**Nuclear Instruments and Methods in Physics Research Section A, Volume 476, Issues 1–2, 1 January 2002, Pages 242–246 - G. D'Agostini
**Improved iterative Bayesian unfolding**arXiv:1010.0632v1 [physics.data-an] 4 Oct 2010 - A. Mohammad-Djafari, Jérôme Idier
**A scale invariant Bayesian method to solve linear inverse problems**arXiv:physics/0111125v1 [physics.data-an] 14 Nov 2001 - Shikoh ITOH & Toshiharu TSUNODA
**Neutron Spectra Unfolding with Maximum Entropy and Maximum Likelihood**Journal of Nuclear Science and Technology Volume 26, Issue 9, 1989 - Yuan Qi, Thomas P. Minka, and Rosalind W. Picard
**Bayesian Spectrum Estimation of Unevenly Sampled Nonstationary Data**EDICS: 2-TIFR, 2-SPEC - Aristidis C. Likas and Nikolas P. Galatsanos
**A Variational Approach for Bayesian Blind Image Deconvolution**2222 IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 52, NO. 8, AUGUST 2004 - U. Gerhardt, S. Marquardt, N. Schroeder, S. Weiss
**Bayesian deconvolution and analysis of photoelectron or any other spectra: Fermi-liquid versus marginal Fermi-liquid behavior of the 3d electrons in Ni**Phys. Rev. B » Volume 58 » Issue 11 - Jose M. Bioucas-Dias, Mario A. T. Figueiredo, and Joao P. Oliveira
**ADAPTIVE TOTAL VARIATION IMAGE DECONVOLUTION: A MAJORIZATION-MINIMIZATION APPROACH** - Satoh, T., Matsui, A., Hirohata, T., Matsumoto, T.
**A hierarchical Bayesian deconvolution with positivity constraints**0-7803-5871-6/99/$10.00 1999 IEEE - Georgios Choudalakis
**Fully Bayesian Unfolding**