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Computer Science > Information Theory

arXiv:2109.12895 (cs)
[Submitted on 27 Sep 2021]

Title:Deformed logarithms. Associated entropic divergences. Applications to linear inverse problems. Inversion algorithms

Authors:Henri Lantéri
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Abstract:This work belongs to the framework of inverse problems with linear model. The resolution of this type of problem consists in minimizing (possibly under constraints) a function of discrepancy between the measurements and a physical model of the considered phenomenon. We will here extend this study to divergence functions based on forms of entropy developed in the field of Statistical Physics. These various forms of entropy are based on "the deformed algebra" [9] and in particularly on the notion of "Deformed Logarithm" [15][9].
Comments: 46 pages
Subjects: Information Theory (cs.IT); Optimization and Control (math.OC)
Cite as: arXiv:2109.12895 [cs.IT]
  (or arXiv:2109.12895v1 [cs.IT] for this version)
  https://doi.org/10.48550/arXiv.2109.12895

Submission history

From: Henri Lanteri [view email]
[v1] Mon, 27 Sep 2021 09:28:19 UTC (20 KB)
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