Difference between revisions of "DiV MaxEnt"

From New IAC Wiki
Jump to navigation Jump to search
(Blanked the page)
(33 intermediate revisions by the same user not shown)
Line 1: Line 1:
[https://wiki.iac.isu.edu/index.php/RS go back]
==Electron Spectrum Reconstruction==
*Alexei V. Chvetsov and George A. Sandison '''Reconstruction of electron spectra using singular component decomposition''' Med. Phys. 29, 578 (2002)
*Robert L. Wolpert; Katja Ickstadt '''Reflecting uncertainty in inverse problems: A Bayesian solution using Lévy processes''' Inverse Problems 2004;20(6):1759-1771
*Wei J, Sandison GA, Chvetsov AV '''Reconstruction of electron spectra from depth doses with adaptive regularization.''' Med Phys. 2006 Feb;33(2):354-9.
*Chvetsov AV, Sandison GA '''Angular correction in reconstruction of electron spectra from depth dose distributions.''' Med Phys. 2003 Aug;30(8):2155-8.
*technical memorandum '''High energy electron beam energy determination through depth dose distribution''' June 26, 2002
*T. Tabata and R. Ito, '''The Passage of fast electrons through matter: The work at the Radiation Center of Osaka Prefecture and related topics'''
*E.T. Jaynes '''Predictive Statistical Mechanics'''
*E.T. Jaynes '''Information theory and statistical mechanics'''
*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
*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
==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'''
==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
*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
*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
==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
==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.
==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
==MaxEnt 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, PageAIP Conf. Proc. 954, pp. 39-46s 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
*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'''
==MaxEnt General 1==
*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'''
*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)
==MaxEnt General 2==
*Sattin, F. '''Bayesian approach to superstatistics''' European Physical Journal B -- Condensed Matter;Jan2006, Vol. 49 Issue 2, p219
*Oliver Johnson '''A conditional Entropy Power Inequality for dependent variables''' IEEE Transactions on Information Theory, Vol 50/8, 2004, p. 1581-1583
*M. Grendar, Jr., M. Grendar '''Maximum Probability and Maximum Entropy methods: Bayesian interpretation''' AIP (Melville), 490-494, 2004
*Ekrem Aydiner, Cenk Orta, Ramazan Sever '''Quantum information entropies of the eigenstates of the Morse potential''' Int. J. Mod. Phys. B Vol 22 (2008) 231
*Robert K. Niven '''Exact Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac Statistics''' Physics Letters A, 13/5/05
*A. M. C. Souza, C. Tsallis '''Stability of the entropy for superstatistics''' Physics Letters A 319, 273 (2003)
*S N Karbelkar '''On the axiomatic approach to the maximum entropy principle of inference''' Pramana April 1986, Volume 26, Issue 4, pp 301-310
*Garrett, Anthony J. M. '''Maximum entropy from the laws of probability''' AIP Conference Proceedings; 2001, Vol. 568 Issue 1, p3
*A. G. Bashkirov '''Renyi entropy as a statistical entropy for complex systems''' Theoretical and Mathematical Physics, November 2006, Volume 149, Issue 2, pp 1559-1573

Latest revision as of 05:40, 9 January 2013