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In this paper we propose a Godunov-based discretization of a hyperbolic system of conservation laws with discontinuous flux, modeling vehicular flow on a network. Each equation describes the density evolution of vehicles having a common…

Numerical Analysis · Mathematics 2014-08-04 Gabriella Bretti , Maya Briani , Emiliano Cristiani

We introduce Generator Matching, a modality-agnostic framework for generative modeling using arbitrary Markov processes. Generators characterize the infinitesimal evolution of a Markov process, which we leverage for generative modeling in a…

Machine Learning · Computer Science 2025-02-28 Peter Holderrieth , Marton Havasi , Jason Yim , Neta Shaul , Itai Gat , Tommi Jaakkola , Brian Karrer , Ricky T. Q. Chen , Yaron Lipman

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

Generative Flow Networks (GFlowNets) aim to generate diverse trajectories from a distribution in which the final states of the trajectories are proportional to the reward, serving as a powerful alternative to reinforcement learning for…

Artificial Intelligence · Computer Science 2024-08-14 Shuang Luo , Yinchuan Li , Shunyu Liu , Xu Zhang , Yunfeng Shao , Chao Wu

Generative Flow Networks (GFNs) have emerged as a powerful tool for sampling discrete objects from unnormalized distributions, offering a scalable alternative to Markov Chain Monte Carlo (MCMC) methods. While GFNs draw inspiration from…

Machine Learning · Computer Science 2025-02-24 Sobhan Mohammadpour , Emmanuel Bengio , Emma Frejinger , Pierre-Luc Bacon

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

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

We present GFlowState, a visual analytics system designed to illuminate the training process of Generative Flow Networks (GFlowNets or GFNs). GFlowNets are a probabilistic framework for generating samples proportionally to a reward…

Machine Learning · Computer Science 2026-04-24 Florian Holeczek , Andreas Hinterreiter , Alex Hernandez-Garcia , Marc Streit , Christina Humer

We present energy-based generative flow networks (EB-GFN), a novel probabilistic modeling algorithm for high-dimensional discrete data. Building upon the theory of generative flow networks (GFlowNets), we model the generation process by a…

Machine Learning · Computer Science 2022-06-10 Dinghuai Zhang , Nikolay Malkin , Zhen Liu , Alexandra Volokhova , Aaron Courville , Yoshua Bengio

Generative Flow Networks (GFlowNets) were developed to learn policies for efficiently sampling combinatorial candidates by interpreting their generative processes as trajectories in directed acyclic graphs. In the value-based training…

Machine Learning · Computer Science 2026-03-03 Puhua Niu , Shili Wu , Xiaoning Qian

Generative Flow Networks (GFlowNets) have recently emerged as a suitable framework for generating diverse and high-quality molecular structures by learning from rewards treated as unnormalized distributions. Previous works in this framework…

Machine Learning · Computer Science 2025-06-13 Mohit Pandey , Gopeshh Subbaraj , Artem Cherkasov , Martin Ester , Emmanuel Bengio

Uncovering rationales behind predictions of graph neural networks (GNNs) has received increasing attention over the years. Existing literature mainly focus on selecting a subgraph, through combinatorial optimization, to provide faithful…

Machine Learning · Computer Science 2023-03-07 Wenqian Li , Yinchuan Li , Zhigang Li , Jianye Hao , Yan Pang

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,…

Machine Learning · Computer Science 2023-10-06 Ling Pan , Moksh Jain , Kanika Madan , Yoshua Bengio

Existing neural network-based autonomous systems are shown to be vulnerable against adversarial attacks, therefore sophisticated evaluation on their robustness is of great importance. However, evaluating the robustness only under the…

Machine Learning · Computer Science 2020-12-29 Wenhao Ding , Baiming Chen , Bo Li , Kim Ji Eun , Ding Zhao

The design of fair and efficient algorithms for allocating public resources, such as school admissions, housing, or medical residency, has a profound social impact. In one-sided matching problems, where individuals are assigned to items…

Machine Learning · Computer Science 2025-06-17 Mayesha Tasnim , Erman Acar , Sennay Ghebreab

Accurate trajectory prediction is fundamental to autonomous driving, as it underpins safe motion planning and collision avoidance in complex environments. However, existing benchmark datasets suffer from a pronounced long-tail distribution…

Robotics · Computer Science 2025-10-06 Ruining Yang , Yi Xu , Yixiao Chen , Yun Fu , Lili Su

Unitary Synthesis, the decomposition of a unitary matrix into a sequence of quantum gates, is a fundamental challenge in quantum compilation. Prevailing reinforcement learning (RL) approaches are often hampered by sparse reward signals,…

Quantum Physics · Physics 2026-03-05 Inhoe Koo , Hyunho Cha , Jungwoo Lee

Deep learning is emerging as an effective tool in drug discovery, with potential applications in both predictive and generative models. Generative Flow Networks (GFlowNets/GFNs) are a recently introduced method recognized for the ability to…

Machine Learning · Computer Science 2023-11-08 Elaine Lau , Nikhil Vemgal , Doina Precup , Emmanuel Bengio

This paper addresses the problem of estimating link flows in a road network by combining limited traffic volume and vehicle trajectory data. While traffic volume data from loop detectors have been the common data source for link flow…

Machine Learning · Computer Science 2022-06-28 Miner Zhong , Jiwon Kim , Zuduo Zheng

Generative Flow Networks (GFlowNets) have been introduced as a method to sample a diverse set of candidates with probabilities proportional to a given reward. However, GFlowNets can only be used with a predefined scalar reward, which can be…

Machine Learning · Computer Science 2024-02-27 Yihang Chen , Lukas Mauch