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Published July 1991 | Published
Book Section - Chapter Open

Objective functions for probability estimation

Abstract

Backpropagation was originally derived in the context of minimizing a mean-squared error (MSE) objective function. More recently there has been interest in objective functions that provide accurate class probability estimates. In this paper we derive necessary and sufficient conditions on the required form of an objective function to provide probability estimates. This leads to the definition of a general class of functions which includes MSE and cross cutropy (CE) as two of the simplest cases.

Additional Information

© 1991 IEEE. The research described in this paper was supported in part by DARPA under grant number AFOSR-90-0199 and by NSF grant ENG-8711673. In addition this work was carried out in part by the Jet Propulsion Laboratories, California Institute of Technology, under a contract with the National Aeronautics and Space Administration.

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