Closed Form for Some Gaussian Convolutions
Classical Analysis and ODEs
2016-03-08 v2 Optimization and Control
Probability
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.
Cite
@article{arxiv.1602.05610,
title = {Closed Form for Some Gaussian Convolutions},
author = {Hossein Mobahi},
journal= {arXiv preprint arXiv:1602.05610},
year = {2016}
}