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20 results for “Understanding of combinatorial optimization problems and neural networks”

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cs.LGmath.OCmath.PREmpiricalRecentJun 9, 2026

Data-Driven Dynamic Assortment in Online Platforms: Learning about Two Sides

Rahul Roy, Nur Sunar, Jayashankar M. Swaminathan

This paper studies a dynamic assortment problem on a two-sided service platform with incomplete information and heterogeneous customers, and develops a data-driven algorithm to learn parameters and op…

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cs.LGRecentJun 1, 2026

Regularized Large Neighborhood Search

Germain Vivier-Ardisson, Laurent Demonet, Axel Parmentier, Mathieu Blondel

The paper introduces Regularized Large Neighborhood Search (RLNS), a method that adapts the LNS heuristic into an efficient MCMC sampler for combinatorial optimization, allowing end-to-end learning wi…

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cs.LGEmpiricalRecentJul 1, 2026

Neural Certificate Pricing for Combinatorial Optimization Problems

Jingyi Chen, Xinyuan Zhang, Xinwu Qian

This paper introduces Neural Certificate Pricing (NCP), an unsupervised learning framework that exploits the asymmetry between certifiable discrete structures and structural feasibility in combinatori…

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cs.DMTheoreticalRecentJun 27, 2026

Local Minima in Quadratic-Penalty Relaxations of Binary Linear Programs

Cheng-Han Huang, Yongliang Sun, Chaoyan Huang, Ismail Alkhouri +1 more

The paper establishes conditions for QUBO formulations of combinatorial optimization problems that guarantee valid binary and feasible local minimizers using gradient-based methods.

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cs.NEcs.AIcs.DSRecentMay 28, 2026

Selection Hyper-heuristics Can Automatically Adjust the Learning Period to Optimally Solve Pseudo-Boolean Problems

Benjamin Doerr, Pietro S. Oliveto, John Alasdair Warwicker

This paper introduces a method to automatically determine the optimal learning period ($ au$) for the Random Gradient hyper-heuristic, enabling it to optimally solve Pseudo-Boolean Problems without ma…

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math.COcs.CCTheoreticalRecentJul 9, 2026

Polynomial Binary Optimization

Endre Boros

The paper develops an explicit multi-linear polynomial form for binary polynomial optimization problems after eliminating a subset of variables, allowing for characterization of new special classes wi…

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cs.DSTheoreticalRecentJun 26, 2026

Incremental Submodular Maximization: Better Than Greedy

Marcin Bienkowski, Joakim Blikstad, Jarosław Byrka, Martín Costa +2 more

The paper presents an adaptive scaling algorithm with a competitive ratio of 1.373 for incremental submodular maximization under increasing cardinality constraint, improving upon the previous best res…

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cs.CCTheoreticalRecentJul 21, 2026

On the Complexity of Graph Edit Distance in Restricted Graph Classes

Maximilian Limmer, Nils M. Kriege

The paper investigates the relationship between graph classes, edit cost functions, and computational complexity of the graph edit distance, providing polynomial-time reductions and correspondences.

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cs.NEEmpiricalRecentJun 19, 2026

On the Use of Survival Selection Methods for Evolutionary Diversity Optimisation

Adel Nikfarjam, Jakob Bossek, Aneta Neumann, Frank Neumann

This paper investigates the benefits of generating multiple solutions in each generation for Evolutionary Diversity Optimisation (EDO) and proposes efficient methods to achieve it.

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cs.NEcs.AIRecentMay 29, 2026

Linear Ordering Problem: Time for a Change

Fabrizio Fagiolo, Marco Baioletti, Valentino Santucci

The paper addresses limitations in the Linear Ordering Problem (LOP) by introducing a novel benchmark suite derived from current economic data and an algorithmic scheme to generate diverse, high-quali…

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cs.AImath.OCRecentMay 30, 2026

LLM-Driven Co-Evolutionary Automated Heuristic Design for Bi-Component Coupled Combinatorial Optimization

Mingen Kuang, Xudong Deng, Xi Lin, Ye Fan +2 more

The paper proposes CoEvo-AHD, an LLM-driven co-evolutionary framework that co-evolves two coupled operator populations to design effective heuristics for combinatorial optimization problems with stron…

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cs.NEEmpiricalRecentJun 12, 2026

A Programmer's Guide to Cascaded Adaptive Combiners: Online Learning by Biologically Accurate Models of Multilayer Neuron Networks

Martin Nilsson, Denis Kleyko

This paper introduces a mechanistic neuronal network model for multilayer learning, offering biological insights and an alternative to backpropagation.

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cs.LGTheoreticalRecentJul 24, 2026

Complexity Bounds and Approaches to Learning Projected Gradient Descent Solver Iterates

Anjian Li, Ryne Beeson

This paper proposes a data collection strategy using solver iterates to augment datasets for training generative models, improving the efficiency of the data-model-optimization loop in one-sided box-c…

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cs.NEcs.AIcs.DSRecentMay 27, 2026

A Fresh Look at Lamarckian Evolution and the Baldwin Effect

Inès Benito, Johannes F. Lutzeyer, Benjamin Doerr

The paper empirically and theoretically demonstrates that incorporating Lamarckian and Baldwinian mechanisms into evolutionary algorithms significantly outperforms standard Darwinian evolution, especi…

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cs.CGcs.DMTheoreticalRecentJul 1, 2026

On Reconstructing a Convex Polygon from Partial Information

Alexander Baumann, Therese Biedl, Mahmoud Elashmawi, Simon D. Fink +2 more

This paper systematically explores the convex polygon reconstruction problem with specified sets of features, contributing new testing algorithms and hardness results.

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cs.LGcs.AImath.OCRecentMay 28, 2026

A Unified Framework for Gradient Aggregation in Multi-Objective Optimization

Zeou Hu, Kelvin Ho, Yaoliang Yu

The paper introduces a unified theoretical framework for gradient aggregation in multi-objective optimization, establishing convergence rates and sufficient conditions for achieving Pareto stationarit…

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cs.DScs.GTTheoreticalRecentJul 17, 2026

Solving Stackelberg Vertex Cover on trees using split and join

Dominik Scheder, Johannes Tantow

This paper presents three new algorithms for maximizing revenue in the Stackelberg Vertex Cover problem on certain kinds of trees.

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stat.MLcs.LGstat.COTheoreticalRecentJul 17, 2026

Which Hyperparameters Matter? A Game-Theoretic Framework for Interpretable Hyperparameter Sensitivity Analysis

Nyi Nyi Aung, Heepeom Shin, Abigail Lawlor, Adrian Stein

This paper proposes a game-theoretic framework using Shapley Effects and Pareto front sets for interpretable hyperparameter-objective interaction analysis.

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