Transport, Don't Generate: Deterministic Geometric Flows for Combinatorial Optimization

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References (25)

[1]
CanonNet: Canonical Ordering and Curvature Learning for Point Cloud Analysis
2025Benjy Friedmann, Michael Werman
[2]
Fast T2T: Optimization Consistency Speeds Up Diffusion-Based Training-to-Testing Solving for Combinatorial Optimization
2025Yang Li, Jinpei Guo et al.
[3]
DISCO: Efficient Diffusion Solver for Large-Scale Combinatorial Optimization Problems
2024Kexiong Yu, Hang Zhao et al.
[4]
Stochastic interpolants with data-dependent couplings
2023M. S. Albergo, Mark Goldstein et al.
[5]
SE(3)-Stochastic Flow Matching for Protein Backbone Generation
2023A. Bose, Tara Akhound-Sadegh et al.
[6]
DIFUSCO: Graph-based Diffusion Solvers for Combinatorial Optimization
2023Zhiqing Sun, Yiming Yang
[7]
From Distribution Learning in Training to Gradient Search in Testing for Combinatorial Optimization
2023Yang Li, Jinpei Guo et al.
[8]
DIMES: A Differentiable Meta Solver for Combinatorial Optimization Problems
2022Ruizhong Qiu, Zhiqing Sun et al.
[9]
Flow Matching for Generative Modeling
2022Y. Lipman, Ricky T. Q. Chen et al.
[10]
Diffusion models as plug-and-play priors
2022Alexandros Graikos, Nikolay Malkin et al.
[11]
Sym-NCO: Leveraging Symmetricity for Neural Combinatorial Optimization
2022Minsu Kim, Junyoung Park et al.
[12]
The Transformer Network for the Traveling Salesman Problem
2021X. Bresson, T. Laurent
[13]
E(n) Equivariant Graph Neural Networks
2021Victor Garcia Satorras, Emiel Hoogeboom et al.
[14]
Score-Based Generative Modeling through Stochastic Differential Equations
2020Yang Song, Jascha Narain Sohl-Dickstein et al.
[15]
POMO: Policy Optimization with Multiple Optima for Reinforcement Learning
2020Yeong-Dae Kwon, Jinho Choo et al.
[16]
Denoising Diffusion Probabilistic Models
2020Jonathan Ho, Ajay Jain et al.
[17]
Learning the travelling salesperson problem requires rethinking generalization
2020Chaitanya K. Joshi, Quentin Cappart et al.
[18]
An Efficient Graph Convolutional Network Technique for the Travelling Salesman Problem
2019Chaitanya K. Joshi, T. Laurent et al.
[19]
Attention, Learn to Solve Routing Problems!
2018W. Kool, H. V. Hoof et al.
[20]
An Extension of the Lin-Kernighan-Helsgaun TSP Solver for Constrained Traveling Salesman and Vehicle Routing Problems: Technical report
2017Keld Helsgaun

Showing 20 of 25 references

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