A Galerkin approach to optimization in the space of convex and compact subsets of $\R^d$

Janosch Rieger

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arXiv · 1711.10106

A Galerkin approach to optimization in the space of convex and compact subsets of $\R^d$

Janosch Rieger

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Abstract

The aim of this paper is to establish a theory of Galerkin approximations to the space of convex and compact subsets of $\R^d$ with favorable properties, both from a theoretical and from a computational perspective. These Galerkin spaces are first explored in depth and then used to solve optimization problems in the space of convex and compact subsets of $\R^d$ approximately.

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Janosch Rieger. 2017-11-28. A Galerkin approach to optimization in the space of convex and compact subsets of $\R^d$. https://arxiv.org/abs/1711.10106

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