The dual IRLS scheme for (hyper-)graph $p$-Laplacians and $\ell^p$ regression with large exponents

Fuente: arXiv
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Main Author: Storn, Johannes
Format: Preprint
Published: 2026
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author Storn, Johannes
author_facet Storn, Johannes
contents We introduce an iterative scheme for discrete convex minimization problems of $p$-Laplace type such as variational graph $p$-Laplace problems and $\ell^p$ regression. In each iteration, the scheme solves only a weighted least-squares problem. We verify linear convergence for suitably regularized problems and derive convergence to any prescribed tolerance.
format Preprint
id arxiv_https___arxiv_org_abs_2603_26061
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The dual IRLS scheme for (hyper-)graph $p$-Laplacians and $\ell^p$ regression with large exponents
Storn, Johannes
Optimization and Control
65K10, 49M05, 49M20, 49M29, 68T09, 05C50, 39A12
We introduce an iterative scheme for discrete convex minimization problems of $p$-Laplace type such as variational graph $p$-Laplace problems and $\ell^p$ regression. In each iteration, the scheme solves only a weighted least-squares problem. We verify linear convergence for suitably regularized problems and derive convergence to any prescribed tolerance.
title The dual IRLS scheme for (hyper-)graph $p$-Laplacians and $\ell^p$ regression with large exponents
topic Optimization and Control
65K10, 49M05, 49M20, 49M29, 68T09, 05C50, 39A12
url https://arxiv.org/abs/2603.26061