Detailed Instructions: 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.
Q: 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.
A:
Credal Networks under Maximum Entropy