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We consider the problem of sampling from a discrete and structured distribution as a sequential decision problem, where the objective is to find a stochastic policy such that objects are sampled at the end of this sequential process…

Machine Learning · Computer Science 2024-05-29 Tristan Deleu , Padideh Nouri , Nikolay Malkin , Doina Precup , Yoshua Bengio

Generative Flow Networks (GFlowNets; GFNs) are a class of generative models that learn to sample compositional objects proportionally to their a priori unknown value, their reward. We focus on the case where the reward has a specified,…

Machine Learning · Computer Science 2026-05-12 Alexandre Larouche , Audrey Durand

Assortment optimization seeks to select a subset of substitutable products, subject to constraints, to maximize expected revenue. The problem is NP-hard due to its combinatorial and nonlinear nature and arises frequently in industries such…

Machine Learning · Computer Science 2025-11-18 Guokai Li , Pin Gao , Stefanus Jasin , Zizhuo Wang

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…

Machine Learning · Computer Science 2023-07-06 Tristan Deleu , Yoshua Bengio

We introduce a new paradigm for generative modeling built on Continuous Normalizing Flows (CNFs), allowing us to train CNFs at unprecedented scale. Specifically, we present the notion of Flow Matching (FM), a simulation-free approach for…

Machine Learning · Computer Science 2023-02-09 Yaron Lipman , Ricky T. Q. Chen , Heli Ben-Hamu , Maximilian Nickel , Matt Le

Generative Flow Networks (GFlowNets), a class of generative models have recently emerged as a suitable framework for generating diverse and high-quality molecular structures by learning from unnormalized reward distributions. Previous works…

Machine Learning · Computer Science 2024-09-17 Mohit Pandey , Gopeshh Subbaraj , Emmanuel Bengio

Graph neural networks (GNNs) have been applied into a variety of graph tasks. Most existing work of GNNs is based on the assumption that the given graph data is optimal, while it is inevitable that there exists missing or incomplete edges…

Machine Learning · Computer Science 2022-05-13 Qianggang Ding , Deheng Ye , Tingyang Xu , Peilin Zhao

Graph convolutional neural networks (GCNNs) have received much attention recently, owing to their capability in handling graph-structured data. Among the existing GCNNs, many methods can be viewed as instances of a neural message passing…

Machine Learning · Computer Science 2021-03-19 Tien Huu Do , Duc Minh Nguyen , Giannis Bekoulis , Adrian Munteanu , Nikos Deligiannis

Graph Convolutional Neural Networks (GCNNs) are generalizations of CNNs to graph-structured data, in which convolution is guided by the graph topology. In many cases where graphs are unavailable, existing methods manually construct graphs…

Machine Learning · Computer Science 2019-09-17 Xiang Gao , Wei Hu , Zongming Guo

This paper builds bridges between two families of probabilistic algorithms: (hierarchical) variational inference (VI), which is typically used to model distributions over continuous spaces, and generative flow networks (GFlowNets), which…

Machine Learning · Computer Science 2023-03-03 Nikolay Malkin , Salem Lahlou , Tristan Deleu , Xu Ji , Edward Hu , Katie Everett , Dinghuai Zhang , Yoshua Bengio

Path planning in complex environments is one of the key problems of artificial intelligence because it requires simultaneous understanding of the geometry of space and the global structure of the problem. In this paper, we explore the…

Artificial Intelligence · Computer Science 2026-02-24 Agnieszka Polowczyk , Alicja Polowczyk , Michał Wieczorek

Graph neural networks are useful for learning problems, as well as for combinatorial and graph problems such as the Subgraph Isomorphism Problem and the Traveling Salesman Problem. We describe an approach for computing Steiner Trees by…

Machine Learning · Computer Science 2023-05-02 Reyan Ahmed , Mithun Ghosh , Kwang-Sung Jun , Stephen Kobourov

Traditional reinforcement learning often struggles to generate diverse, high-reward solutions, especially in domains like drug design and black-box function optimization. Markov Chain Monte Carlo (MCMC) methods provide an alternative method…

Machine Learning · Computer Science 2024-10-02 Siyi He

Scalability of Graph Neural Networks (GNNs) remains a significant challenge. To tackle this, methods like coarsening, condensation, and computation trees are used to train on a smaller graph, resulting in faster computation. Nonetheless,…

Machine Learning · Computer Science 2026-04-13 Shubhajit Roy , Hrriday Ruparel , Kishan Ved , Anirban Dasgupta

We tackle the problem of sampling from intractable high-dimensional density functions, a fundamental task that often appears in machine learning and statistics. We extend recent sampling-based approaches that leverage controlled stochastic…

Machine Learning · Computer Science 2024-03-12 Dinghuai Zhang , Ricky T. Q. Chen , Cheng-Hao Liu , Aaron Courville , Yoshua Bengio

We propose a generative flow-induced neural architecture search algorithm. The proposed approach devices simple feed-forward neural networks to learn stochastic policies to generate sequences of architecture hyperparameters such that the…

Machine Learning · Computer Science 2024-05-14 Hartej Soin , Tapas Tripura , Souvik Chakraborty

Recent research into solving vehicle routing problems (VRPs) has gained significant traction, particularly through the application of deep (reinforcement) learning for end-to-end solution construction. However, many current…

Machine Learning · Computer Science 2025-03-05 Ni Zhang , Jingfeng Yang , Zhiguang Cao , Xu Chi

This paper studies generative flow networks (GFlowNets) to sample objects from the Boltzmann energy distribution via a sequence of actions. In particular, we focus on improving GFlowNet with partial inference: training flow functions with…

Machine Learning · Computer Science 2023-10-06 Hyosoon Jang , Minsu Kim , Sungsoo Ahn

Many combinatorial optimization problems can be phrased in the language of constraint satisfaction problems. We introduce a graph neural network architecture for solving such optimization problems. The architecture is generic; it works for…

Artificial Intelligence · Computer Science 2020-02-12 Jan Toenshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe

There are many frameworks for deep generative modeling, each often presented with their own specific training algorithms and inference methods. Here, we demonstrate the connections between existing deep generative models and the recently…

Machine Learning · Computer Science 2023-02-01 Dinghuai Zhang , Ricky T. Q. Chen , Nikolay Malkin , Yoshua Bengio
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