Definition: In this task, you are given a part of an article. Your task is to generate headline (title) for this text. Preferred headlines are under fifteen words.
Input: We apply the principle of maximum entropy to select a unique joint probability distribution from the set of all joint probability distributions speci­ fied by a credal network. In detail, we start by showing that the unique joint distribution of a Bayesian tree coincides with the maximum en­ tropy model of its conditional distributions. This result, however, does not hold anymore for gen­ eral Bayesian networks. We thus present a new kind of maximum entropy models, which are computed sequentially. We then show that for all general Bayesian networks, the sequential max­ imum entropy model coincides with the unique joint distribution. Moreover, we apply the new principle of sequential maximum entropy to in­ terval Bayesian networks and more generally to credal networks. We especially show that this ap­ plication is equivalent to a number of small local entropy maximizations.

Credal Networks under Maximum Entropy