Distributionally Robust Optimization

Fuente: arXiv
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Hauptverfasser: Kuhn, Daniel, Shafiee, Soroosh, Wiesemann, Wolfram
Format: Preprint
Veröffentlicht: 2024
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author Kuhn, Daniel
Shafiee, Soroosh
Wiesemann, Wolfram
author_facet Kuhn, Daniel
Shafiee, Soroosh
Wiesemann, Wolfram
contents Distributionally robust optimization (DRO) studies decision problems under uncertainty where the probability distribution governing the uncertain problem parameters is itself uncertain. A key component of any DRO model is its ambiguity set, that is, a family of probability distributions consistent with any available structural or statistical information. DRO seeks decisions that perform best under the worst distribution in the ambiguity set. This worst case criterion is supported by findings in psychology and neuroscience, which indicate that many decision-makers have a low tolerance for distributional ambiguity. DRO is rooted in statistics, operations research and control theory, and recent research has uncovered its deep connections to regularization techniques and adversarial training in machine learning. This survey presents the key findings of the field in a unified and self-contained manner.
format Preprint
id arxiv_https___arxiv_org_abs_2411_02549
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Distributionally Robust Optimization
Kuhn, Daniel
Shafiee, Soroosh
Wiesemann, Wolfram
Optimization and Control
Machine Learning
Distributionally robust optimization (DRO) studies decision problems under uncertainty where the probability distribution governing the uncertain problem parameters is itself uncertain. A key component of any DRO model is its ambiguity set, that is, a family of probability distributions consistent with any available structural or statistical information. DRO seeks decisions that perform best under the worst distribution in the ambiguity set. This worst case criterion is supported by findings in psychology and neuroscience, which indicate that many decision-makers have a low tolerance for distributional ambiguity. DRO is rooted in statistics, operations research and control theory, and recent research has uncovered its deep connections to regularization techniques and adversarial training in machine learning. This survey presents the key findings of the field in a unified and self-contained manner.
title Distributionally Robust Optimization
topic Optimization and Control
Machine Learning
url https://arxiv.org/abs/2411.02549