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We investigate the stability of a Sequential Monte Carlo (SMC) method applied to the problem of sampling from a target distribution on $\mathbb{R}^d$ for large $d$. It is well known that using a single importance sampling step one produces…

Computation · Statistics 2012-04-19 Alexandros Beskos , Dan Crisan , Ajay Jasra

Reinforcement learning (RL) has improved guided image generation with diffusion models by directly optimizing rewards that capture image quality, aesthetics, and instruction following capabilities. However, the resulting generative policies…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Owen Oertell , Jonathan D. Chang , Yiyi Zhang , Kianté Brantley , Wen Sun

In Monte Carlo simulations, proposed configurations are accepted or rejected according to an acceptance ratio, which depends on an underlying probability distribution and an a priori sampling probability. By carefully selecting the…

Computational Physics · Physics 2023-02-09 Emanuel Casiano-Diaz , Kipton Barros , Ying Wai Li , Adrian Del Maestro

Markov chain Monte Carlo (MCMC) methods are frequently used to approximately simulate high-dimensional, multimodal probability distributions. In adaptive MCMC methods, the transition kernel is changed "on the fly" in the hope to speed up…

Probability · Mathematics 2014-06-04 Winfried Barta

Subsequence clustering of multivariate time series is a useful tool for discovering repeated patterns in temporal data. Once these patterns have been discovered, seemingly complicated datasets can be interpreted as a temporal sequence of…

Machine Learning · Computer Science 2018-05-16 David Hallac , Sagar Vare , Stephen Boyd , Jure Leskovec

Diffusion models have demonstrated strong generative capabilities across domains ranging from image synthesis to complex reasoning tasks. However, most inference-time scaling methods rely on fixed denoising schedules, limiting their ability…

Machine Learning · Computer Science 2025-10-28 Gyubin Lee , Truong Nhat Nguyen Bao , Jaesik Yoon , Dongwoo Lee , Minsu Kim , Yoshua Bengio , Sungjin Ahn

Continual learning aims to acquire tasks sequentially without catastrophic forgetting, yet standard strategies face a core tradeoff: regularization-based methods (e.g., EWC) can overconstrain updates when task optima are weakly overlapping,…

Machine Learning · Computer Science 2026-05-28 Zekun Wang , Anant Gupta , Christopher J. MacLellan

Model-based reinforcement learning (RL) methods that leverage search are responsible for many milestone breakthroughs in RL. Sequential Monte Carlo (SMC) recently emerged as an alternative to the Monte Carlo Tree Search (MCTS) algorithm…

Machine Learning · Computer Science 2026-05-22 Yaniv Oren , Joery A. de Vries , Pascal R. van der Vaart , Matthijs T. J. Spaan , Wendelin Böhmer

The iterative and stochastic nature of diffusion models enables test-time scaling, whereby spending additional compute during denoising generates higher-fidelity samples. Increasing the number of denoising steps is the primary scaling axis,…

Machine Learning · Computer Science 2025-09-09 Vignav Ramesh , Morteza Mardani

Recently a new class of Monte Carlo methods, called Time Relaxed Monte Carlo (TRMC), designed for the simulation of the Boltzmann equation close to fluid regimes have been introduced. A generalized Wild sum expansion of the solution is at…

Numerical Analysis · Mathematics 2010-09-16 L. Pareschi , S. Trazzi , B. Wennberg

An efficient simulation-based methodology is proposed for the rolling window estimation of state space models, called particle rolling Markov chain Monte Carlo (MCMC) with double block sampling. In our method, which is based on Sequential…

Computation · Statistics 2021-09-17 Naoki Awaya , Yasuhiro Omori

Guided or controlled data generation with diffusion models\blfootnote{Partial preliminary results of this work appeared in International Conference on Machine Learning 2025 \citep{li2025provable}.} has become a cornerstone of modern…

Machine Learning · Statistics 2025-12-05 Yuchen Jiao , Yuxin Chen , Gen Li

When working with multimodal Bayesian posterior distributions, Markov chain Monte Carlo (MCMC) algorithms have difficulty moving between modes, and default variational or mode-based approximate inferences will understate posterior…

Methodology · Statistics 2021-11-19 Yuling Yao , Aki Vehtari , Andrew Gelman

Distribution Matching Distillation (DMD) facilitates efficient inference by distilling multi-step diffusion models into few-step variants. Concurrently, Reinforcement Learning (RL) has emerged as a vital tool for aligning generative models…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Dengyang Jiang , Dongyang Liu , Zanyi Wang , Qilong Wu , Liuzhuozheng Li , Hengzhuang Li , Xin Jin , David Liu , Changsheng Lu , Zhen Li , Bo Zhang , Mengmeng Wang , Steven Hoi , Peng Gao , Harry Yang

Spatio-temporal sequence forecasting is one of the fundamental tasks in spatio-temporal data mining. It facilitates many real world applications such as precipitation nowcasting, citywide crowd flow prediction and air pollution forecasting.…

Machine Learning · Computer Science 2020-05-20 Hong-Bin Liu , Ickjai Lee

Diffusion models are the mainstream approach for time series generation tasks. However, existing diffusion models for time series generation require retraining the entire framework to introduce specific conditional guidance. There also…

Machine Learning · Computer Science 2025-09-25 Mingchun Sun , Rongqiang Zhao , Hengrui Hu , Songyu Ding , Jie Liu

This tutorial provides a comprehensive survey of methods for fine-tuning diffusion models to optimize downstream reward functions. While diffusion models are widely known to provide excellent generative modeling capability, practical…

Machine Learning · Computer Science 2024-07-19 Masatoshi Uehara , Yulai Zhao , Tommaso Biancalani , Sergey Levine

We address the problem of parameter estimation for diffusion driven stochastic volatility models through Markov chain Monte Carlo (MCMC). To avoid degeneracy issues we introduce an innovative reparametrisation defined through…

Methodology · Statistics 2008-12-02 Konstantinos Kalogeropoulos , Gareth O. Roberts , Petros Dellaportas

Pricing options is an important problem in financial engineering. In many scenarios of practical interest, financial option prices associated to an underlying asset reduces to computing an expectation w.r.t.~a diffusion process. In general,…

Computation · Statistics 2016-08-12 Deborshee Sen , Ajay Jasra , Yan Zhou

We propose TraceRL, a trajectory-aware reinforcement learning framework for diffusion language models (DLMs) that incorporates preferred inference trajectory into post-training, and is applicable across different architectures. Equipped…

Computation and Language · Computer Science 2025-09-09 Yinjie Wang , Ling Yang , Bowen Li , Ye Tian , Ke Shen , Mengdi Wang