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Graph Convolutional Networks (GCNs) have gained significant developments in representation learning on graphs. However, current GCNs suffer from two common challenges: 1) GCNs are only effective with shallow structures; stacking multiple…

Machine Learning · Computer Science 2019-12-13 Menghan Wang , Kun Zhang , Gulin Li , Keping Yang , Luo Si

We present a sequential Monte Carlo sampler algorithm for the Bayesian analysis of generalised linear mixed models (GLMMs). These models support a variety of interesting regression-type analyses, but performing inference is often extremely…

Computation · Statistics 2008-10-08 Y. Fan , D. S. Leslie , M. P. Wand

Critical slowing down and topological freezing severely hinder Monte Carlo sampling of lattice field theories as the continuum limit is approached. Recently, significant progress has been made in applying a class of generative machine…

High Energy Physics - Lattice · Physics 2024-01-25 Gurtej Kanwar

In this paper, we address technical difficulties that arise when applying Markov chain Monte Carlo (MCMC) to hierarchical models designed to perform clustering in the space of latent parameters of subject-wise generative models.…

Quantitative Methods · Quantitative Biology 2020-12-15 Yu Yao , Klaas E. Stephan

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

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

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…

Quantum Physics · Physics 2025-09-22 Isaac L. Huidobro-Meezs , Jun Dai , Rodrigo A. Vargas-Hernández

Cyclical MCMC is a novel MCMC framework recently proposed by Zhang et al. (2019) to address the challenge posed by high-dimensional multimodal posterior distributions like those arising in deep learning. The algorithm works by generating a…

Computation · Statistics 2024-03-04 Liwei Wang , Xinru Liu , Aaron Smith , Yves Atchade

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

Markov chain Monte Carlo (MCMC) methods are sampling methods that have become a commonly used tool in statistics, for example to perform Monte Carlo integration. As a consequence of the increase in computational power, many variations of…

Computation · Statistics 2021-06-14 F. Din-Houn Lau , Sebastian Krumscheid

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

Personalized recommender systems fulfill the daily demands of customers and boost online businesses. The goal is to learn a policy that can generate a list of items that matches the user's demand or interest. While most existing methods…

Information Retrieval · Computer Science 2023-06-12 Shuchang Liu , Qingpeng Cai , Zhankui He , Bowen Sun , Julian McAuley , Dong Zheng , Peng Jiang , Kun Gai

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

Generative Flow Networks, or GFlowNets, offer a promising framework for molecular design, but their internal decision policies remain opaque. This limits adoption in drug discovery, where chemists require clear and interpretable rationales…

Machine Learning · Computer Science 2025-11-25 Amirtha Varshini A S , Duminda S. Ranasinghe , Hok Hei Tam

We explore a general framework in Markov chain Monte Carlo (MCMC) sampling where sequential proposals are tried as a candidate for the next state of the Markov chain. This sequential-proposal framework can be applied to various existing…

Computation · Statistics 2019-08-21 Joonha Park , Yves F. Atchadé

In this paper, we present a comprehensive theoretical comparison of diffusion and flow matching under the Generator Matching framework. Despite their apparent differences, both diffusion and flow matching can be viewed under the unified…

Machine Learning · Computer Science 2024-12-18 Zeeshan Patel , James DeLoye , Lance Mathias

Generative Flow Networks (GFlowNets) have shown promising potential to generate high-scoring candidates with probability proportional to their rewards. As existing GFlowNets freely explore in state space, they encounter significant…

Machine Learning · Computer Science 2026-02-13 Xuan Yu , Xu Wang , Rui Zhu , Yudong Zhang , Yang Wang

Guidance of generative models is typically achieved by modifying the probability flow vector field through the addition of a guidance field. In this paper, we instead propose the Source-Guided Flow Matching (SGFM) framework, which modifies…

Machine Learning · Computer Science 2025-08-25 Zifan Wang , Alice Harting , Matthieu Barreau , Michael M. Zavlanos , Karl H. Johansson

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

Generative Flow Networks (GFlowNets) are a flexible family of amortized samplers trained to generate discrete and compositional objects with probability proportional to a reward function. However, learning efficiency is constrained by the…

Machine Learning · Computer Science 2026-02-23 Pedro Dall'Antonia , Tiago da Silva , Daniel Csillag , Salem Lahlou , Diego Mesquita
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