Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy
نویسندگان
چکیده
منابع مشابه
Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy
Absrmez-Jaynes’s principle of m@mum entropy and KuUba&‘s priodple of min imum cromentropy (mhlmum dire&d dfvergenoe) are shown tobeunfquelycomxtmethodsforhductiveinf~whennewinformnt ionlsghninthefomlofexpe&edvalues.ReviousjILstit icatioaslLve htuiUvearguma@andrelyonthepro~ofentropyanderossenhppy lasinfmersmes.‘Illeapproarbben?that reasoMble methodsofhductiveinfere~shouidleedto~nsistentresuitswh...
متن کاملThe Minimum Entropy Production Principle
It seems intuitively reasonable that Gibbs' variational principle de termining the conditions of heterogeneous equilibrium can be gener alized to nonequilibrium conditions. That is, a nonequilibriurn steady state should be the one that makes some kind of generalized-entropy production stationary; and even in the presence of irreversible fluxes, the condition for migrational equilibrium should...
متن کاملThe Relevance of Maximum Entropy Production Principle and Maximum Information Entropy Principle in Biology
We start this talk posing the question, is there any physical principle that can serve as a selection principle in biology too? One of the first undertakings in this direction, conducted by Prigogine and Wiame [1] noticed correctly that biological processes are irreversible and as such should be described within irreversible thermodynamics. Since irreversible processes are characterized by entr...
متن کاملHow multiplicity determines entropy and the derivation of the maximum entropy principle for complex systems.
The maximum entropy principle (MEP) is a method for obtaining the most likely distribution functions of observables from statistical systems by maximizing entropy under constraints. The MEP has found hundreds of applications in ergodic and Markovian systems in statistical mechanics, information theory, and statistics. For several decades there has been an ongoing controversy over whether the no...
متن کاملObjective Bayesianism and the Maximum Entropy Principle
Objective Bayesian epistemology invokes three norms: the strengths of our beliefs should be probabilities, they should be calibrated to our evidence of physical probabilities, and they should otherwise equivocate sufficiently between the basic propositions that we can express. The three norms are sometimes explicated by appealing to the maximum entropy principle, which says that a belief functi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 1980
ISSN: 0018-9448
DOI: 10.1109/tit.1980.1056144