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Closed Form for Some Gaussian Convolutions

2016/02/10 by Hossein Mobahi, Mobahi, Hossein
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR) #math.CA #math.OC #math.PR

paper · pdf · doi:10.48550/arxiv.1602.05610

arxiv created 2016/03/07 · arxiv updated 2016/03/08

Abstract

The convolution of a function with an isotropic Gaussian appears in many contexts such as differential equations, computer vision, signal processing, and numerical optimization. Although this convolution does not always have a closed form expression, there are important family of functions for which closed form exists. This article investigates some of such cases.

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