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On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems

Borwein, Jonathan M. (1993) On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems. Mathematical Programming, 61 . pp. 251-262.

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Abstract

We analyse several examples where the maximum entropy solution to a system of equations exists but fails to satisfy the natural (dual) formula. These examples highlight the role that finiteness of the number of constraints has in the efficacy of maximum entropy type estimation and reconstruction. We also provide two regularization processes which repair the problem.

Item Type: Article
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 14 Jan 2015 16:35
Last Modified: 14 Jan 2015 16:35
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1559

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