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Many problems of practical interest rely on Continuous-time Markov chains~(CTMCs) defined over combinatorial state spaces, rendering the computation of transition probabilities, and hence probabilistic inference, difficult or impossible…

Recent advances in few-step diffusion distillation have enabled efficient image generation, yet aligning these models with human preferences remains challenging. We propose Reward-Tilted Distribution Matching Distillation (RTDMD), a…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Yushi Huang , Xiangxin Zhou , Ruoyu Wang , Chi Zhang , Jun Zhang , Tianyu Pang

In many problems, complex non-Gaussian and/or nonlinear models are required to accurately describe a physical system of interest. In such cases, Monte Carlo algorithms are remarkably flexible and extremely powerful approaches to solve such…

Computation · Statistics 2015-04-23 Thi Le Thu Nguyen , Francois Septier , Gareth W. Peters , Yves Delignon

An effective approach for sampling from unnormalized densities is based on the idea of gradually transporting samples from an easy prior to the complicated target distribution. Two popular methods are (1) Sequential Monte Carlo (SMC), where…

Machine Learning · Statistics 2025-09-09 Junhua Chen , Lorenz Richter , Julius Berner , Denis Blessing , Gerhard Neumann , Anima Anandkumar

Imputing missing values in spatial-temporal traffic data is essential for intelligent transportation systems. Among advanced imputation methods, score-based diffusion models have demonstrated competitive performance. These models generate…

Machine Learning · Computer Science 2026-01-09 Xiaowei Mao , Huihu Ding , Yan Lin , Tingrui Wu , Shengnan Guo , Dazhuo Qiu , Feiling Fang , Jilin Hu , Huaiyu Wan

Recent advances in one-step text-to-image generation have enabled real-time synthesis with remarkable efficiency and quality. Previous reinforcement learning methods for one-step generators combine image-space reward optimization with…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Junyi Wu , Weijian Luo , Haoyang Zheng , Ruizhe Zhang , Guang Lin

Reward models are central to both reinforcement learning (RL) with language models and inference-time verification. However, existing reward models often lack temporal consistency, leading to ineffective policy updates and unstable RL…

Machine Learning · Computer Science 2025-09-30 Dan Zhang , Min Cai , Jonathan Light , Ziniu Hu , Yisong Yue , Jie Tang

Speculative decoding (SD) accelerates language model inference by drafting tokens from a cheap proposal model and verifying them against an expensive target model via rejection sampling. Because rejection truncates the draft block at the…

Markov Chain Monte Carlo (MCMC) underlies both statistical physics and combinatorial optimization, but mixes slowly near critical points and in rough landscapes. Parallel Tempering (PT) improves mixing by swapping replicas across…

Machine Learning · Computer Science 2025-09-30 Saleh Bunaiyan , Corentin Delacour , Shuvro Chowdhury , Kyle Lee , Kerem Y. Camsari

Sequential Monte Carlo (SMC) methods offer a principled approach to Bayesian uncertainty quantification but are traditionally limited by the need for full-batch gradient evaluations. We introduce a scalable variant by incorporating…

Machine Learning · Statistics 2025-05-20 Andrew Millard , Zheng Zhao , Joshua Murphy , Simon Maskell

Policy evaluation via Monte Carlo (MC) simulation is at the core of many MC Reinforcement Learning (RL) algorithms (e.g., policy gradient methods). In this context, the designer of the learning system specifies an interaction budget that…

Machine Learning · Computer Science 2024-10-18 Riccardo Poiani , Nicole Nobili , Alberto Maria Metelli , Marcello Restelli

Random Walk Metropolis Hastings (RWMH) algorithm, is quite inefficient in high dimensions because of its abysmally slow acceptance rate. The slow acceptance rate results from the fact that RWMH separately updates each coordinate of the…

Methodology · Statistics 2014-08-29 Kushal K. Dey , Sourabh Bhattacharya

In this paper, we present an online reinforcement learning algorithm, called Renewal Monte Carlo (RMC), for infinite horizon Markov decision processes with a designated start state. RMC is a Monte Carlo algorithm and retains the advantages…

Machine Learning · Computer Science 2018-04-05 Jayakumar Subramanian , Aditya Mahajan

Multi-step temporal difference (TD) learning is an important approach in reinforcement learning, as it unifies one-step TD learning with Monte Carlo methods in a way where intermediate algorithms can outperform either extreme. They address…

Machine Learning · Computer Science 2018-09-10 Kristopher De Asis , Richard S. Sutton

While continuous diffusion models excel in modeling continuous distributions, their application to categorical data has been less effective. Recent work has shown that ratio-matching through score-entropy within a continuous-time discrete…

Machine Learning · Statistics 2026-02-09 Etrit Haxholli , Yeti Z. Gurbuz , Ogul Can , Eli Waxman

Recent years have seen a rise in the application of machine learning techniques to aid the simulation of hard-to-sample systems that cannot be studied using traditional methods. Despite the introduction of many different architectures and…

Disordered Systems and Neural Networks · Physics 2025-10-09 Luca Maria Del Bono , Federico Ricci-Tersenghi , Francesco Zamponi

Data attribution methods trace model behavior back to its training dataset, offering an effective approach to better understand ''black-box'' neural networks. While prior research has established quantifiable links between model output and…

Machine Learning · Computer Science 2024-07-30 Tong Xie , Haoyu Li , Andrew Bai , Cho-Jui Hsieh

Recent advancements in diffusion and flow-matching models have demonstrated remarkable capabilities in high-fidelity image synthesis. A prominent line of research involves reward-guided guidance, which steers the generation process during…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Jinho Chang , Jaemin Kim , Jong Chul Ye

Aligning diffusion model outputs with downstream objectives is essential for improving task-specific performance. Broadly, inference-time training-free approaches for aligning diffusion models can be categorized into two main strategies:…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Maurya Goyal , Anuj Singh , Hadi Jamali-Rad

Monte Carlo (MC) techniques are often used to estimate integrals of a multivariate function using randomly generated samples of the function. In light of the increasing interest in uncertainty quantification and robust design applications…

Machine Learning · Statistics 2011-08-25 Brendan Tracey , David Wolpert , Juan J. Alonso