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In this manuscript, we introduce a novel Decision Flow (DF) framework for sampling decisions from a target distribution while incorporating additional guidance from a prior sampler. DF can be viewed as an AI-driven algorithmic reincarnation…

Machine Learning · Computer Science 2025-07-22 Michael Chertkov , Sungsoo Ahn , Hamidreza Behjoo

We introduce a new class of Sequential Monte Carlo (SMC) methods, which we call free energy SMC. This class is inspired by free energy methods, which originate from Physics, and where one samples from a biased distribution such that a given…

Computation · Statistics 2010-06-16 Nicolas Chopin , Pierre Jacob

Flow Matching (FM) has recently emerged as a powerful approach for high-quality visual generation. However, their prohibitively slow inference due to a large number of denoising steps limits their potential use in real-time or interactive…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Divya Jyoti Bajpai , Shubham Agarwal , Apoorv Saxena , Kuldeep Kulkarni , Subrata Mitra , Manjesh Kumar Hanawal

Training-free conditional diffusion provides a flexible alternative to task-specific conditional model training, but existing samplers often allocate computation inefficiently: independent guided trajectories can vary widely in quality, and…

Machine Learning · Statistics 2026-05-06 Andreas Makris , Paul Fearnhead , Chris Nemeth

Score-based generative models require guidance in order to generate plausible, on-manifold samples. The most popular guidance method, Classifier-Free Guidance (CFG), is only applicable in settings with labeled data and requires training an…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Eric Yeats , Darryl Hannan , Wilson Fearn , Timothy Doster , Henry Kvinge , Scott Mahan

Classifier-Free Guidance (CFG) is a widely used inference-time technique to boost the image quality of diffusion models. Yet, its reliance on text conditions prevents its use in unconditional generation. We propose a simple method to enable…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Weijia Zhang , Yuehao Liu , Shanyan Guan , Wu Ran , Yanhao Ge , Wei Li , Chao Ma

Classifier-Free Guidance (CFG) is a widely adopted technique in diffusion and flow-based generative models, enabling high-quality conditional generation. A key theoretical challenge is characterizing the distribution induced by CFG,…

Machine Learning · Computer Science 2025-05-23 Krunoslav Lehman Pavasovic , Jakob Verbeek , Giulio Biroli , Marc Mezard

As Diffusion Models have shown promising performance, a lot of efforts have been made to improve the controllability of Diffusion Models. However, how to train Diffusion Models to have the disentangled latent spaces and how to naturally…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Wonwoong Cho , Hareesh Ravi , Midhun Harikumar , Vinh Khuc , Krishna Kumar Singh , Jingwan Lu , David I. Inouye , Ajinkya Kale

We introduce Time-Conditioned Contraction Matching (TCCM), a novel method for semi-supervised anomaly detection in tabular data. TCCM is inspired by flow matching, a recent generative modeling framework that learns velocity fields between…

Machine Learning · Computer Science 2025-10-22 Zhong Li , Qi Huang , Yuxuan Zhu , Lincen Yang , Mohammad Mohammadi Amiri , Niki van Stein , Matthijs van Leeuwen

We present Functional Mean Flow (FMF) as a one-step generative model defined in infinite-dimensional Hilbert space. FMF extends the one-step Mean Flow framework to functional domains by providing a theoretical formulation for Functional…

Machine Learning · Computer Science 2025-11-18 Zhiqi Li , Yuchen Sun , Greg Turk , Bo Zhu

We propose Delta Rectified Flow Sampling (DRFS), a novel inversion-free, path-aware editing framework within rectified flow models for text-to-image editing. DRFS is a distillation-based method that explicitly models the discrepancy between…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Gaspard Beaudouin , Minghan Li , Jaeyeon Kim , Sung-Hoon Yoon , Mengyu Wang

Annealed Importance Sampling (AIS) and its Sequential Monte Carlo (SMC) extensions are state-of-the-art methods for estimating normalizing constants of probability distributions. We propose here a novel Monte Carlo algorithm, Annealed Flow…

Machine Learning · Statistics 2021-07-12 Michael Arbel , Alexander G. D. G. Matthews , Arnaud Doucet

We propose a systematic training-free method to transform the probability flow of a "linear" stochastic process characterized by the equation X_{t}=a_{t}X_{0}+\sigma_{t}X_{1} into a straight constant-speed (SC) flow, reminiscent of…

Machine Learning · Computer Science 2024-08-06 Kien Do , Duc Kieu , Toan Nguyen , Dang Nguyen , Hung Le , Dung Nguyen , Thin Nguyen

In order to sample from an unnormalized probability density function, we propose to combine continuous normalizing flows (CNFs) with rejection-resampling steps based on importance weights. We relate the iterative training of CNFs with…

Machine Learning · Statistics 2025-08-14 Johannes Hertrich , Robert Gruhlke

Flow Matching (FM) underpins many state-of-the-art generative models, yet recent results indicate that Transition Matching (TM) can achieve higher quality with fewer sampling steps. This work answers the question of when and why TM…

Machine Learning · Computer Science 2026-05-22 Jaihoon Kim , Rajarshi Saha , Minhyuk Sung , Youngsuk Park

This paper is concerned with differentiable resampling in the context of sequential Monte Carlo (e.g., particle filtering). Drawing on reparametrisation, we propose a new resampling method that is informative and instantly differentiable,…

Machine Learning · Statistics 2026-05-29 Jennifer Rosina Andersson , Zheng Zhao

Flow matching has emerged as a powerful generative framework, with recent few-step methods achieving remarkable inference acceleration. However, we identify a critical yet overlooked limitation: these models suffer from severe diversity…

Machine Learning · Computer Science 2026-04-15 Yexiong Lin , Jia Shi , Shanshan Ye , Wanyu Wang , Yu Yao , Tongliang Liu

Classifier-Free Guidance (CFG) has emerged as a central approach for enhancing semantic alignment in flow-based diffusion models. In this paper, we explore a unified framework called CFG-Ctrl, which reinterprets CFG as a control applied to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-12 Hanyang Wang , Yiyang Liu , Jiawei Chi , Fangfu Liu , Ran Xue , Yueqi Duan

Classifier-free Guidance (CFG) lets practitioners trade-off fidelity against diversity in Diffusion Models (DMs). The practicality of CFG is however hindered by DMs sampling cost. On the other hand, Consistency Models (CMs) generate images…

Machine Learning · Computer Science 2026-04-13 Chia-Hong Hsu , Randall Balestriero

We propose sequential Monte Carlo (SMC) methods for sampling the posterior distribution of state-space models under highly informative observation regimes, a situation in which standard SMC methods can perform poorly. A special case is…

Computation · Statistics 2015-07-10 Pierre Del Moral , Lawrence M. Murray