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arXiv · 2305.02635

Deconvolution on graphs via linear programming

Bernhard G. Bodmann·Jennifer J. May
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Abstract

The main challenge addressed in this paper is to identify individual terms in a superposition of heat kernels on a graph. We establish geometric conditions on the vertices at which these heat kernels are centered and find bounds on the time parameter governing the evolution under the heat semigroup that guarantee a successful recovery. This result can be viewed as a type of deconvolution on a graph. A first main result addresses the setting of a common time parameter for all the heat kernels. We also treat a more general setting when the time parameter depends on the location at which the heat kernel is centered.

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Bernhard G. Bodmann, Jennifer J. May. 2023-05-04. Deconvolution on graphs via linear programming. https://arxiv.org/abs/2305.02635

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