منابع مشابه
Multilayer neural networks and Bayes decision theory
There are many applications of multilayer neural networks to pattern classification problems in the engineering field. Recently, it has been shown that Bayes a posteriori probability can be estimated by feedforward neural networks through computer simulation. In this paper, Bayes decision theory is combined with the approximation theory on three-layer neural networks, and the two-category n-dim...
متن کاملInvited Paper Compound Decision Theory and Empirical Bayes Methods
1. Introduction. Compound decision theory and empirical Bayes methodology , acclaimed as " two breakthroughs " by Neyman (1962), are the most important contributions of Herbert Robbins to statistics. The purpose of this paper is to provide a brief description of his work in these two intimately connected fields, its impact and a number of important related developments. Robbins introduced compo...
متن کاملBayes Decision Problems and Stability
Recent years have seen excellent progress in the ability of Bayesians to compute posterior and predictive quantities of interest. This progress adds to the importance that must be placed on what the inputs to those computations should be, that is, what likelihood, prior and loss function to use. While there are various standpoints on these questions, the one we find most satisfying in principle...
متن کاملObserver Theory, Bayes Theory, and Psychophysics
1. INTRODUCTION The search is on for a general theory of perception. As the papers in this volume indicate, many perceptual researchers now seek a conceptual framework and a general formalism to help them solve specific problems. One candidate framework is " observer theory " 1989a). This paper discusses observer theory, gives a sympathetic analysis of its candidacy , describes its relationship...
متن کاملProbability Theory without Bayes' Rule
Within the Kolmogorov theory of probability, Bayes’ rule allows one to perform statistical inference by relating conditional probabilities to unconditional probabilities. As we show here, however, there is a continuous set of alternative inference rules that yield the same results, and that may have computational or practical advantages for certain problems. We formulate generalized axioms for ...
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ژورنال
عنوان ژورنال: IEEE Transactions on Systems, Man, and Cybernetics
سال: 1991
ISSN: 0018-9472
DOI: 10.1109/21.101147