The motivation is twofold: first, maximizing entropy minimizes the amount of prior information built into the distribution second, many physical systems tend to move towards maximal entropy configurations over time. In other words, we want to encode the prior information given by the constraints on the statistics while being as objective' or agnostic' as possible. According to the principle of maximum entropy, if nothing is known about a distribution except that it belongs to a certain class (usually defined in terms of specified properties or measures), then the distribution with the largest entropy should be chosen as the least-informative default. The intuition should be that entropy can be used to select the least informative prior, it’s a way of making as few additional assumptions as possible. This is an attempt to give the maximum entropy principle, considered by many as only an inference principle based on. From a Bayesian perspective, the principle of maximum entropy states that, subject to known constraints, the probability distribution that best represents the. In statistics and information theory, a maximum entropy probability distribution has entropy that is at least as great as that of all other members of a specified class of probability distributions. ( Learn how and when to remove this template message) Idea: Use the least biased hypothesis, subject to what is known. But they solve conditional problems (observations are given). ( December 2013) ( Learn how and when to remove this template message) Maximum Entropy Problem 2: HMMs are trained to maximize the likelihood of the training set. Please help to improve this article by introducing more precise citations. Paralleling the derivation of thermodynamics from the maximum entropy principle, the state variable theory of ecology developed in the book predicts realistic forms for all metrics of ecology that describe patterns in the distribution, abundance, and energetics of species across multiple spatial scales. This article includes a list of general references, but it lacks sufficient corresponding inline citations.
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