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

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

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Article ID: iaor19942223
Country: Netherlands
Volume: 61
Issue: 2
Start Page Number: 251
End Page Number: 261
Publication Date: Sep 1993
Journal: Mathematical Programming (Series A)
Authors:
Abstract:

The paper analyses 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. The paper also provides two regularization processes which repair the problem.

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