Proximity for Sums of Composite Functions
Patrick L. Combettes, Dinh Dung, Bang Cong Vu
TL;DR
This paper introduces an algorithm to compute the proximity operator of a sum of composite convex functions in Hilbert spaces, with applications to approximation and image recovery.
Contribution
It presents a novel algorithm for proximity operators of composite sums and analyzes its asymptotic behavior.
Findings
Algorithm effectively computes proximity operators for composite functions.
Applications demonstrated in approximation and image recovery tasks.
Asymptotic analysis provides insights into convergence behavior.
Abstract
We propose an algorithm for computing the proximity operator of a sum of composite convex functions in Hilbert spaces and investigate its asymptotic behavior. Applications to best approximation and image recovery are described.
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Taxonomy
TopicsSparse and Compressive Sensing Techniques · Mathematical Approximation and Integration · Numerical methods in inverse problems