Reinforcement learning for combinatorial optimization: A survey

N Mazyavkina, S Sviridov, S Ivanov… - Computers & Operations …, 2021 - Elsevier
Many traditional algorithms for solving combinatorial optimization problems involve using
hand-crafted heuristics that sequentially construct a solution. Such heuristics are designed …

Survey of clustering algorithms

R Xu, D Wunsch - IEEE Transactions on neural networks, 2005 - ieeexplore.ieee.org
Data analysis plays an indispensable role for understanding various phenomena. Cluster
analysis, primitive exploration with little or no prior knowledge, consists of research …

Diffusion models as plug-and-play priors

A Graikos, N Malkin, N Jojic… - Advances in Neural …, 2022 - proceedings.neurips.cc
We consider the problem of inferring high-dimensional data $ x $ in a model that consists of
a prior $ p (x) $ and an auxiliary differentiable constraint $ c (x, y) $ on $ x $ given some …

Difusco: Graph-based diffusion solvers for combinatorial optimization

Z Sun, Y Yang - Advances in Neural Information Processing …, 2023 - proceedings.neurips.cc
Abstract Neural network-based Combinatorial Optimization (CO) methods have shown
promising results in solving various NP-complete (NPC) problems without relying on hand …

Neurolkh: Combining deep learning model with lin-kernighan-helsgaun heuristic for solving the traveling salesman problem

L Xin, W Song, Z Cao, J Zhang - Advances in Neural …, 2021 - proceedings.neurips.cc
We present NeuroLKH, a novel algorithm that combines deep learning with the strong
traditional heuristic Lin-Kernighan-Helsgaun (LKH) for solving Traveling Salesman Problem …

Dimes: A differentiable meta solver for combinatorial optimization problems

R Qiu, Z Sun, Y Yang - Advances in Neural Information …, 2022 - proceedings.neurips.cc
Recently, deep reinforcement learning (DRL) models have shown promising results in
solving NP-hard Combinatorial Optimization (CO) problems. However, most DRL solvers …

Automated algorithm selection: Survey and perspectives

P Kerschke, HH Hoos, F Neumann… - Evolutionary …, 2019 - ieeexplore.ieee.org
It has long been observed that for practically any computational problem that has been
intensely studied, different instances are best solved using different algorithms. This is …

Neural combinatorial optimization with reinforcement learning

I Bello, H Pham, QV Le, M Norouzi, S Bengio - arXiv preprint arXiv …, 2016 - arxiv.org
This paper presents a framework to tackle combinatorial optimization problems using neural
networks and reinforcement learning. We focus on the traveling salesman problem (TSP) …

Generalize a small pre-trained model to arbitrarily large tsp instances

ZH Fu, KB Qiu, H Zha - Proceedings of the AAAI conference on artificial …, 2021 - ojs.aaai.org
For the traveling salesman problem (TSP), the existing supervised learning based
algorithms suffer seriously from the lack of generalization ability. To overcome this …

Learning heuristics for the tsp by policy gradient

M Deudon, P Cournut, A Lacoste, Y Adulyasak… - Integration of Constraint …, 2018 - Springer
The aim of the study is to provide interesting insights on how efficient machine learning
algorithms could be adapted to solve combinatorial optimization problems in conjunction …