
	Where results make sense

Topic: Principle of maximum entropy

Related Topics

Posterior probability

Maximum likelihood

Conditional probability

Likelihood

Bayesian probability theory

Bayes theorem

Eclectic probability

Sunrise problem

Bayesian probability

Probability interpretations

Likelihood ratio test

Edwin Thompson Jaynes

Frequentism

Relative frequency

Richard Threlkeld Cox

In the News (Mon 9 Nov 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	NationMaster - Encyclopedia: Maxent
		3 Justifications for the principle of maximum entropy
		The principle of maximum entropy can thus be seen as a generalization of the classical principle of indifference, also known as the principle of insufficient reason.
		She has found that the maximum entropy distribution is the most probable of all "fair" random epistemic distributions, in the limit as the probability levels go from discrete to continuous.
	www.nationmaster.com /encyclopedia/Maxent (2016 words)

	[No title]
		The principle of maximum entropy states that the entropy concept can also be used to infer a model for a probability distribution.
		The principle was first expounded by E.T. Jaynes in 1957, as an interpretation of the Gibbs algorithm of statistical mechanics.
		Relative entropy is, by its definition, the negative of the Kullback-Leibler divergence of m from p; so equivalently the principle of maximum relative entropy is also Kullback's Principle of Minimum Discrimination Information.
	www.algebra.com /~pavlovd/wiki/Maximum_entropy (1608 words)

	Maximum Entropy Methods
		Now, of course I believe that states of thermodynamic equilibrium are states of maximum entropy.
		Dias and A. Shimony, "A Critique of Jaynes' Maximum Entropy Principle,"
		51 (2005): 3322--3333 ["A broad set of sufficient conditions that guarantees the existence of the maximum entropy (maxent) distribution consistent with specified bounds on certain generalized moments is derived.
	cscs.umich.edu /~crshalizi/notebooks/max-ent.html (493 words)

	Principle of maximum entropy@Everything2.com
		The principle of maximum entropy states, that an isolated system at thermodynamic equilibrium is in the highest entropy possible, given its conditions.
		The principle of maximum entropy tells us that this new equilibrium state will be the one with the highest possible entropy given the new conditions.
		The principle of maximum entropy says that the allowable equilibrium states are when there is a maximum in the function of S
	www.everything2.com /index.pl?node_id=1476455 (355 words)

	Daisyworld & Beyond
		Entropy, in its original terms, is a measure of the unavailability of a system's energy to do work, and is one of the most difficult to grasp quantities in science.
		What falls out is that maximum entropy production is the most probable stationary macro-state (the one realised by the largest number of paths), subject to local conservation of energy and mass and external controls.
		Our workshop showed that tangible connections between maximum entropy production, homeostasis, self-organised criticality and life-like dissipative structures are beginning to emerge from a range of studies of non-equilibrium systems.
	www.informatics.sussex.ac.uk /projects/daisyworld/2002wshop.html (6034 words)

	Principle of maximum entropy: Definition and Links by Encyclopedian.com
		The principle of maximum entropy tells us that the converse is also possible: a probability distribution can be determined using the information entropy concept.
		This invariant measure is not determined by the principle of maximum entropy, and must be determined by some other logical method, such as the Principle of transformation groups[?] or Marginalization theory[?].
		2 Justifications for the principle of maximum entropy
	www.encyclopedian.com /pr/Principle-of-maximum-entropy.html (1287 words)

	3.2.3 Maximum Entropy Principle (Site not responding. Last check: )
		The controversy appears to stem from weakness in the foundations of the principle, which is usually justified on the basis of entropy's unique properties as an uncertainty measure.
		That entropy has such properties is undisputed; one can prove, up to a constant factor, that entropy is the only function satisfying axioms that are accepted as requirements for an uncertainty measure.
		Jaynes has further supported entropy maximization by showing that the maximum entropy distribution is equal to the frequency distribution that can be realized in the great number of ways.
	iria.math.pku.edu.cn /~jiangm/courses/IRIA/node66.html (674 words)

	it2002 (Site not responding. Last check: )
		The principle of maximum entropy is a powerful framework that can be used to estimate class posterior probabilities for pattern recognition tasks.
		The principle of maximum entropy has origins in statistical thermodynamics, is related to information theory and has been applied to pattern recognition tasks such as language modeling and text classification.
		A further advantage of the maximum entropy approach is that it is easily possible to include new feature functions into the classifier, which promises further reduction of the error rate.
	www-i6.informatik.rwth-aachen.de /~keysers/Pubs/IT2002 (1547 words)

	Themis' corner of the Internet: Research
		The overriding principle in maximum entropy is that when nothing is known about the real distribution then the estimated distribution should be as uniform as possible.
		Using the same method based on maximum entropy, we also demonstrate the ability of the algorithm to identify ``interesting'' values in multidimensional datasets.
		Maximum entropy reconstruction from a number of aggregates is performed based on the assumption that the aggregates of interest are pairwise independent.
	www.cs.toronto.edu /~themis/researchstatementp.html (904 words)

	Maximum Entropy Principle (Site not responding. Last check: )
		The maximum entropy principle (Shannon (1948), Jaynes (1957)) provides a means to obtain least-biased statistical inference when insufficient information is available.
		The maximum entropy variational principle is invoked, which leads to a unique solution with an exponential form for the basis functions.
		The maximum entropy approximant is valid for any point within the convex hull of the set of nodes (Sukumar, 2004), with interior nodal basis functions vanishing on the boundary of the convex hull (Fig.
	dilbert.engr.ucdavis.edu /~suku/maxent (600 words)

	TRINPsite: Entropy, Gravity and Electricity in a Neutral Perspective
		For maximum entropy the connection is even absent, because the system-internal outcome of maximum entropy is a standstill in which each particle movement is statistically neutralized by an opposite particle movement.
		But such a principle is an instrumental principle for artifacts and has nothing to do with a natural principle such as the principle of maximum entropy whatsoever.
		Such a system would reach maximum entropy immediately without there being any need to assume that the system as a whole aims at something, altho*, of course, the assumption that particles with like electric charges repel each other would still have to be adhered to.
	www.trinp.org /Note/NeuPersp.HTM (3679 words)

	What is Life? by Erwin Shrodinger
		The general principle involved is the famous Second Law of Thermodynamics (entropy principle) and its equally famous statistical foundation.
		Thus a living organism continually increases its entropy - or, as you may say, produces positive entropy - and thus tends to approach the dangerous state of maximum entropy, which is death.
		We said before: 'It feeds upon negative entropy', attracting, as it were, a stream of negative entropy upon itself, to compensate the entropy increase it produces by living and thus to maintain itself on a stationary and fairly low entropy level.
	dieoff.org /page150.htm (2675 words)

	The Principle of Maximum Entropy
		The Principle of Maximum Entropy states: When one has only partial information about the possible outcomes one should choose the probabilities so as to maximize the uncertainty about the missing information, as shown by Jaynes [8].
		By applying the principle of maximum entropy, one obtains the most random distribution subject to the satisfaction of the given constraints.
		The principle of Maximum Entropy provides that if there are n possible outcomes then, in the absence of additional information, the outcomes should be presumed to have equal probabilities.
	me.queensu.ca /people/sellens/research/sprayFlow/preusser/diplomar/node11.html (377 words)

	HotBot Web Search for maximum
		Join the Maximum PC editors for a rousing review of the week's tech news and top-notch how-to advice...
		Maximum is a fictional superhero published by DC Comics.
		If you choose to continue with the use of your current browser however, all of our content will continue to be accessible to all versions of every browser.
	www.hotbot.com /?query=maximum&first=90&page=more&currProv=google (236 words)

	Unsupervised Decomposition of Mixed Pixels Using the Maximum Entropy Principle
		Due to the wide existence of mixed pixels, the derivation of constituent components (endmembers) and their proportions (abundances) at subpixel scales has become an important research topic.
		In this paper, we propose a novel unsupervised decomposition method based on the classical maximum entropy principle, termed uMaxEnt.
		The algorithm integrates a global least square error-based endmember detection and a per-pixel maximum entropy learning to find the most possible proportions.
	csdl2.computer.org /persagen/DLAbsToc.jsp?resourcePath=/dl/proceedings/&toc=comp/proceedings/icpr/2006/2521/01/2521toc.xml&DOI=10.1109/ICPR.2006.1142 (234 words)

	Yet Another Machine Learning Blog » Maximum entropy and bayesian updating [Pierre Dangauthier]
		I was also thinking that the problem with that was the definition of priors, and that, in certain cincunstances, the Maximum entropy principle was helpful.
		Maximum entropy leads to P(X)= (1/6, 1/6, 1/6, 1/6, 1/6, 1/6).
		Dudik and R. Schapire, Maximum entropy distribution estimation with generalized regularization.
	emotion.inrialpes.fr /~dangauthier/blog/2006/04/26/maximum-entropy-and-bayesian-updating (1045 words)

	Origin of Life - Bright Light
		It states that entropy of thermal reservoirs connected through a non-linear system, in which materials interact mutually, will increase along a path of evolution with a maximum rate of entropy increase, among a manifold of allowed paths.
		Consequently, it is found that Paltridge's suggestion on maximum entropy increase by turbulent heat transport in the earth's climate system, as well as Malkus-Howard-Busse's suggestion on maximum energy dissipation in turbulent flows, is rigorously explained by the single thermodynamic concept.
		The thesis that living systems are attempting to maximise total entropy is "paradoxically" very similar to the one that they are attempting to create maximum local order (by making many copies of their genome).
	originoflife.net /bright_light (2580 words)

	Maximum Entropy
		In ``A maximum entropy approach to natural language processing'' (Computational Linguistics 22:1, March 1996), the appendix describes an approach to computing the gain of a single feature f.
		This link is to the Maximum Entropy Modeling Toolkit, for parameter estimation and prediction for maximum entropy models in discrete domains.
		We present a maximum-likelihood approach for automatically constructing maximum entropy models and describe how to implement this approach efficiently, using as examples several problems in natural language processing.
	www.cs.cmu.edu /~aberger/maxent.html (932 words)

	[No title]
		Maximum entropy influences the construction of the model because the set of statistics (facts) holds for the model but nothing else is assumed.
		The principle of maximum entropy encourages one to choose the model with the "maximum entropy" from among those that are consistent with the constraints.
		Maximum entropy refers to maximizing the uncertainty associated with a model which is in stark contrast to our understood fact that lower the entropy, the better.
	www.cs.wisc.edu /~apirak/cs/cs838/reviews_score_7.html (6578 words)

	entropy - Definitions from Dictionary.com
		(in cosmology) a hypothetical tendency for the universe to attain a state of maximum homogeneity in which all matter is at a uniform temperature (heat death).
		The amount of entropy is often thought of as the amount of disorder in a system.
		One way of stating the second law of thermodynamics — the principle that heat will not flow from a cold to a hot object spontaneously — is to say that the entropy of an isolated system can, at best, remain the same and will increase for most systems.
	dictionary.reference.com /search?q=entropy (798 words)

	Copyright Permission - Physics Reports - Maximum entropy production principle in physics, chemistry and biology
		Copyright (c) 2006 Elsevier B.V. The tendency of the entropy to a maximum as an isolated system is relaxed to the equilibrium (the second law of thermodynamics) has been known since the mid-19th century.
		The first part of the review is concerned with the thermodynamic and statistical basis of the principle (including the relationship of MEPP with the second law of thermodynamics and Prigogine's principle).
		Various existing applications of the principle to analysis of nonequilibrium systems will be discussed in the second part.
	www.copyright.com /articles/sd/7a1/03701573/article_03701573_5867.html (333 words)

	FIU: Department of Economics
		It provides a well-founded principle of probability assignment under conditions of incomplete information, known as the maximum statistical entropy principle.
		The fact that the knowledge of micro-behavior is not sufficient to understand macro-phenomena is attributed to the failure of recognizing the workings of this principle.
		The derivation of the latter from first economic principles is expected to provide the foundation for the systematic use of the vast analytical apparatus of equilibrium and non-equilibrium thermodynamics in economic theory.
	www.fiu.edu /orgs/economics/profiles/liossatos.html (568 words)

	Maximum Entropy
		The principle of maximum entropy originated in the last century with Gibbs and was re-constructed in its modern, broader form by Jaynes.
		Maximum Entropy and Bayesian Spectral Analysis and Estimation, edited by C.R. Smith and G.J. Erickson (Reidel, Dordrecht, Holland, 1987).
		Maximum Entropy and Bayesian Methods, Seattle, 1991, edited by C.R. Smith, G.J. Erickson and P.O. Neudorfer (Kluwer, Dordrecht, Holland, 1992).
	asuwlink.uwyo.edu /~wtg/infophys/node12.html (752 words)

	System Reliability Calculations Based on Incomplete Information -- from Wolfram Library Archive
		If xi is the state of system Si ("available" or "failed"), maximum entropy yields "best" estimates for the probabilities of all events of the form x1x2xc.
		We establish analytically that the maximum entropy distributions have many properties that agree with intuition, and show how the distributions illustrate Shore and Johnson's axioms for the the maximum entropy principle.
		We conclude by discussing some questions that may be raised regarding our use of maximum entropy, namely system models with independent components, lower bounds on reliability, and whether maximum entropy estimates are conservative in any sense.
	library.wolfram.com /infocenter/Articles/2357 (216 words)

	ESCI 341 – Atmospheric Thermodynamics
		An example of application of the entropy maximum principle is an isolated metal bar that is initially hotter at one end than another.
		Some authors have mistakenly applied the entropy maximum principle in an attempt to explain why a well-mixed layer of air has an adiabatic temperature profile.
		This principle is known as the Gibbs free energy minimum principle.
	www.atmos.millersville.edu /~adecaria/ESCI341/esci341_lesson10_energy_minimum_principle.html (933 words)

	CiteULike: Using maximum entropy for text classification (Site not responding. Last check: )
		This paper proposes the use of maximum entropy techniques for text classification.
		Maximum entropy is a probability distribution estimation technique widely used for a variety of natural language tasks, such as language modeling, part-of-speech tagging, and text segmentation.
		The underlying principle of maximum entropy is that without external knowledge, one should prefer distributions that are uniform.
	www.citeulike.org /user/alterego/article/1224243 (209 words)

	Links to Programs and Data for
		In this paper, we propose a new way to impose parameter inequality constraints in a linear regression model using the principle of maximum entropy.
		We describe the generalized maximum entropy (GME) estimator and develop a method for imposing parameter inequality restrictions through the traditional GME parameter support matrix.
		Several examples, not included in the paper, of imposing inequality restrictions using maximum entropy are described in maxent.pdf.
	www.bus.lsu.edu /hill/maxent.htm (151 words)

	Chem 156. Lecture 3.
		Proof of maximum entropy principle was updated in the notes for Lecture 2.
		So in the context of statement "presence of irreversibility requires a presence of a dissipative process" increase of entropy in isolated systems (principle of maximum entropy) is not automatic.
		Since both entropy and internal energy may depend on the surface area changes in both terms due to changes in the surface area will have contribution to the amount of change in A. Shape equilibria of incompressible or nearly incompressible objects at T=const is best described by the Helmholtz Free Energy.
	www.doe-mbi.ucla.edu /~fadeev/156cpy/156_Lecture_3.html (1782 words)

Try your search on: Qwika (all wikis)