Moment Relaxations for Data-Driven Wasserstein Distributionally Robust Optimization

Fuente: arXiv
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Hauptverfasser: Zhang, Shixuan, Zhong, Suhan
Format: Preprint
Veröffentlicht: 2025
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author Zhang, Shixuan
Zhong, Suhan
author_facet Zhang, Shixuan
Zhong, Suhan
contents We propose moment relaxations for data-driven Wasserstein distributionally robust optimization problems. Conditions are identified to ensure asymptotic consistency of such relaxations for both single-stage and two-stage problems, together with examples that illustrate their necessity. Numerical experiments are also included to illustrate the proposed relaxations.
format Preprint
id arxiv_https___arxiv_org_abs_2505_19278
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Moment Relaxations for Data-Driven Wasserstein Distributionally Robust Optimization
Zhang, Shixuan
Zhong, Suhan
Optimization and Control
We propose moment relaxations for data-driven Wasserstein distributionally robust optimization problems. Conditions are identified to ensure asymptotic consistency of such relaxations for both single-stage and two-stage problems, together with examples that illustrate their necessity. Numerical experiments are also included to illustrate the proposed relaxations.
title Moment Relaxations for Data-Driven Wasserstein Distributionally Robust Optimization
topic Optimization and Control
url https://arxiv.org/abs/2505.19278