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This paper presents a framework to tackle constrained combinatorial optimization problems using deep Reinforcement Learning (RL). To this end, we extend the Neural Combinatorial Optimization (NCO) theory in order to deal with constraints in…

机器学习 · 计算机科学 2020-06-23 Ruben Solozabal , Josu Ceberio , Martin Takáč

Order-Preserving (OP) GFlowNets have demonstrated remarkable success in tackling complex multi-objective (MOO) black-box optimization problems using stochastic optimization techniques. Specifically, they can be trained online to efficiently…

机器学习 · 计算机科学 2025-04-07 Lluís Pastor-Pérez , Javier Alonso-Garcia , Lukas Mauch

In recent years, graph neural networks (GNNs) have been widely applied in tackling combinatorial optimization problems. However, existing methods still suffer from limited accuracy when addressing that on complex graphs and exhibit poor…

机器学习 · 计算机科学 2025-11-13 Yuyao Long

Combinatorial optimization problems are pervasive across science and industry. Modern deep learning tools are poised to solve these problems at unprecedented scales, but a unifying framework that incorporates insights from statistical…

机器学习 · 计算机科学 2022-04-26 Martin J. A. Schuetz , J. Kyle Brubaker , Helmut G. Katzgraber

Graph neural networks (GNNs) have emerged as a powerful tool for solving combinatorial optimization problems (COPs), exhibiting state-of-the-art performance in both graph-structured and non-graph-structured domains. However, existing…

人工智能 · 计算机科学 2024-06-21 Yaochu Jin , Xueming Yan , Shiqing Liu , Xiangyu Wang

Combinatorial Optimization (CO) encompasses a wide range of problems that arise in many real-world scenarios. While significant progress has been made in developing learning-based methods for specialized CO problems, a unified model with a…

机器学习 · 计算机科学 2025-05-13 Zefang Zong , Xiaochen Wei , Guozhen Zhang , Chen Gao , Huandong Wang , Yong Li

While Markov chain Monte Carlo methods (MCMC) provide a general framework to sample from a probability distribution defined up to normalization, they often suffer from slow convergence to the target distribution when the latter is highly…

机器学习 · 计算机科学 2023-07-06 Tristan Deleu , Yoshua Bengio

Achieving chemical accuracy in quantum simulations is often constrained by the measurement bottleneck: estimating operators requires a large number of shots, which remains costly even on fault-tolerant devices and is further exacerbated on…

量子物理 · 物理学 2025-09-22 Isaac L. Huidobro-Meezs , Jun Dai , Rodrigo A. Vargas-Hernández

Combinatorial optimization problems are typically tackled by the branch-and-bound paradigm. We propose a new graph convolutional neural network model for learning branch-and-bound variable selection policies, which leverages the natural…

机器学习 · 计算机科学 2019-10-31 Maxime Gasse , Didier Chételat , Nicola Ferroni , Laurent Charlin , Andrea Lodi

Generative Flow Networks (GFlowNets) are a new family of probabilistic samplers where an agent learns a stochastic policy for generating complex combinatorial structure through a series of decision-making steps. Despite being inspired from…

机器学习 · 计算机科学 2024-02-20 Dinghuai Zhang , Ling Pan , Ricky T. Q. Chen , Aaron Courville , Yoshua Bengio

Many problems in real life can be converted to combinatorial optimization problems (COPs) on graphs, that is to find a best node state configuration or a network structure such that the designed objective function is optimized under some…

机器学习 · 计算机科学 2019-09-17 Jing Liu , Fei Gao , Jiang Zhang

Combinatorial Optimization problems are widespread in domains such as logistics, manufacturing, and drug discovery, yet their NP-hard nature makes them computationally challenging. Recent Neural Combinatorial Optimization methods leverage…

机器学习 · 统计学 2025-06-05 Sobihan Surendran , Adeline Fermanian , Sylvain Le Corff

Generative flow networks (GFlowNets) are a family of algorithms that learn a generative policy to sample discrete objects $x$ with non-negative reward $R(x)$. Learning objectives guarantee the GFlowNet samples $x$ from the target…

Quantum computing presents a promising alternative for the direct simulation of quantum systems with the potential to explore chemical problems beyond the capabilities of classical methods. However, current quantum algorithms are…

Many crucial scientific problems involve designing novel molecules with desired properties, which can be formulated as a black-box optimization problem over the discrete chemical space. In practice, multiple conflicting objectives and…

机器学习 · 计算机科学 2023-11-03 Yiheng Zhu , Jialu Wu , Chaowen Hu , Jiahuan Yan , Chang-Yu Hsieh , Tingjun Hou , Jian Wu

Generative Flow Networks (GFlowNets) are amortized samplers that learn stochastic policies to sequentially generate compositional objects from a given unnormalized reward distribution. They can generate diverse sets of high-reward objects,…

机器学习 · 计算机科学 2023-10-06 Ling Pan , Moksh Jain , Kanika Madan , Yoshua Bengio

Neural Combinatorial Optimization approaches have recently leveraged the expressiveness and flexibility of deep neural networks to learn efficient heuristics for hard Combinatorial Optimization (CO) problems. However, most of the current…

机器学习 · 计算机科学 2022-10-04 Sahil Manchanda , Sofia Michel , Darko Drakulic , Jean-Marc Andreoli

Over the recent years, reinforcement learning (RL) starts to show promising results in tackling combinatorial optimization (CO) problems, in particular when coupled with curriculum learning to facilitate training. Despite emerging empirical…

机器学习 · 计算机科学 2023-11-07 Runlong Zhou , Zelin He , Yuandong Tian , Yi Wu , Simon S. Du

Graphs are a natural representation for systems based on relations between connected entities. Combinatorial optimization problems, which arise when considering an objective function related to a process of interest on discrete structures,…

机器学习 · 计算机科学 2024-08-21 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

Generative Flow Networks (GFlowNets) are amortized sampling methods that learn a distribution over discrete objects proportional to their rewards. GFlowNets exhibit a remarkable ability to generate diverse samples, yet occasionally struggle…

机器学习 · 计算机科学 2024-03-26 Minsu Kim , Taeyoung Yun , Emmanuel Bengio , Dinghuai Zhang , Yoshua Bengio , Sungsoo Ahn , Jinkyoo Park