Solving convex QPs with structured sparsity under indicator conditions

Fuente: arXiv
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Autori principali: Bienstock, Daniel, Chen, Tongtong
Natura: Preprint
Pubblicazione: 2024
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author Bienstock, Daniel
Chen, Tongtong
author_facet Bienstock, Daniel
Chen, Tongtong
contents We study convex optimization problems where disjoint blocks of variables are controlled by binary indicator variables that are also subject to conditions, e.g., cardinality. Several classes of important examples can be formulated in such a way that both the objective and the constraints are separable convex quadratics. We describe a family of polynomial-time approximation algorithms and negative complexity results.
format Preprint
id arxiv_https___arxiv_org_abs_2411_11722
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Solving convex QPs with structured sparsity under indicator conditions
Bienstock, Daniel
Chen, Tongtong
Optimization and Control
Computational Complexity
Data Structures and Algorithms
We study convex optimization problems where disjoint blocks of variables are controlled by binary indicator variables that are also subject to conditions, e.g., cardinality. Several classes of important examples can be formulated in such a way that both the objective and the constraints are separable convex quadratics. We describe a family of polynomial-time approximation algorithms and negative complexity results.
title Solving convex QPs with structured sparsity under indicator conditions
topic Optimization and Control
Computational Complexity
Data Structures and Algorithms
url https://arxiv.org/abs/2411.11722