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Combinatorial Optimization (CO

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Unsupervised Diffusion Solver for Combinatorial Optimization via Combinatorial Adjoint Matching

Announce Type: new Abstract: Diffusion-based neural solvers have shown strong promise for combinatorial optimization (CO), but existing methods typically rely on supervised training with large collections of near-optimal solutions. In this work, we extend adjoint-based trajectory optimization methods to discrete combinatorial domains. We formulate diffusion-based CO as a stochastic control problem over Continuous-Time Markov Chains and introduce discrete adjoint dynamics for propagating...

arXiv CS 9d ago

ASAP: Exploiting the Satisficing Generalization Edge in Neural Combinatorial Optimization

Announce Type: replace Abstract: Deep Reinforcement Learning (DRL) has emerged as a promising approach for solving Combinatorial Optimization (CO) problems, such as the 3D Bin Packing Problem (3D-BPP), Traveling Salesman Problem (TSP), or Vehicle Routing Problem (VRP), but these neural solvers often exhibit brittleness when facing distribution shifts. To address this issue, we uncover the Satisficing Generalization Edge, which we validate both theoretically and experimentally: identifying a...

arXiv CS 7d ago

Functional design of efficient and parallelizable combinatorial generators using convolution

arXiv:2507.03980v3 Announce Type: replace Abstract: The application of program transformation and algebraic methods to the development of efficient combinatorial optimization (CO) algorithms relies on an exhaustive combinatorial generator for the problem specification, followed by the fusion of thinning or filtering processes into this specification. However, the effectiveness of such fusion transformations critically depends on the structural compatibility between the objective function and...

arXiv CS 9d ago

Functional design of efficient and parallelizable combinatorial generators using convolution

arXiv:2507.03980v4 Announce Type: replace Abstract: The application of program transformation and algebraic methods to the development of efficient combinatorial optimization (CO) algorithms relies on an exhaustive combinatorial generator for the problem specification, followed by the fusion of thinning or filtering processes into this specification. However, the effectiveness of such fusion transformations critically depends on the structural compatibility between the objective function and...

arXiv CS 1d ago

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