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This book is an introduction to the mathematical analysis of Bayesian decision-making when the state of the problem is unknown but further data about it can be obtained. The objective of such analysis is to determine the optimal decision or solution that is logically consistent with the preferences of the decision-maker, that can be analyzed using numerical utilities or criteria with the probabilities assigned to the possible state of the problem, such that these probabilities are updated by gathering new information.
Bayesian field theory. --- Field theory, Bayesian --- Statistical physics --- Physical Sciences --- Engineering and Technology --- Mathematics --- Applied Mathematics
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Dynamic programming and Bayesian inference have been both intensively and extensively developed during recent years. Because of these developments, interest in dynamic programming and Bayesian inference and their applications has greatly increased at all mathematical levels. The purpose of this book is to provide some applications of Bayesian optimization and dynamic programming.
Dynamic programming. --- Mathematical optimization --- Programming (Mathematics) --- Systems engineering --- Probability & statistics
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