Finding Probably Approximate Optimal Solutions by Training to Estimate the Optimal Values of Subproblems

Fuente: arXiv
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Autori principali: Megiddo, Nimrod, Wasserkrug, Segev, Davidovich, Orit, Shtern, Shimrit
Natura: Preprint
Pubblicazione: 2025
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author Megiddo, Nimrod
Wasserkrug, Segev
Davidovich, Orit
Shtern, Shimrit
author_facet Megiddo, Nimrod
Wasserkrug, Segev
Davidovich, Orit
Shtern, Shimrit
contents The paper is about developing a solver for maximizing a real-valued function of binary variables. The solver relies on an algorithm that estimates the optimal objective-function value of instances from the underlying distribution of objectives and their respective sub-instances. The training of the estimator is based on an inequality that facilitates the use of the expected total deviation from optimality conditions as a loss function rather than the objective-function itself. Thus, it does not calculate values of policies, nor does it rely on solved instances.
format Preprint
id arxiv_https___arxiv_org_abs_2511_02048
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Finding Probably Approximate Optimal Solutions by Training to Estimate the Optimal Values of Subproblems
Megiddo, Nimrod
Wasserkrug, Segev
Davidovich, Orit
Shtern, Shimrit
Machine Learning
The paper is about developing a solver for maximizing a real-valued function of binary variables. The solver relies on an algorithm that estimates the optimal objective-function value of instances from the underlying distribution of objectives and their respective sub-instances. The training of the estimator is based on an inequality that facilitates the use of the expected total deviation from optimality conditions as a loss function rather than the objective-function itself. Thus, it does not calculate values of policies, nor does it rely on solved instances.
title Finding Probably Approximate Optimal Solutions by Training to Estimate the Optimal Values of Subproblems
topic Machine Learning
url https://arxiv.org/abs/2511.02048