2021/09/27 by H. Lantéri, Henri Lantéri, Lantéri, Henri
Computer Science · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Optimization and Control (math.OC) #Statistical Mechanics and Entropy #Statistical and numerical algorithms #cs.IT #math.IT #math.OC
paper · pdf · doi:10.48550/arxiv.2109.12895
46 pages
arxiv created 2021/09/27 · openalex publication_date 2021/09/27 · arxiv updated 2021/09/28 · openalex created_date 2021/10/11 · openalex updated_date 2026/07/28
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].