Frames: A maximum entropy statistical estimate of the inverse problem
Open Access
- 1 September 1997
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 38 (9), 4863-4871
- https://doi.org/10.1063/1.532130
Abstract
A maximum entropy statistical treatment of an inverse problem concerning frame theory is presented. The problem arises from the fact that a frame is an overcomplete set of vectors that defines a mapping with no unique inverse. Although any vector in the concomitant space can be expressed as a linear combination of frame elements, the coefficients of the expansion are not unique. Frame theory guarantees the existence of a set of coefficients which is “optimal” in a minimum norm sense. We show here that these coefficients are also “optimal” from a maximum entropy viewpoint.This publication has 6 references indexed in Scilit:
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