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The sampling of probability distributions specified up to a normalization constant is an important problem in both machine learning and statistical mechanics. While classical stochastic sampling methods such as Markov Chain Monte Carlo…

Machine Learning · Statistics 2020-10-27 Hao Wu , Jonas Köhler , Frank Noé

We introduce a novel framework for efficient sampling from complex, unnormalised target distributions by exploiting multiscale dynamics. Traditional score-based sampling methods either rely on learned approximations of the score function or…

Computation · Statistics 2025-11-04 Paula Cordero-Encinar , Andrew B. Duncan , Sebastian Reich , O. Deniz Akyildiz

Continuous normalizing flows (CNFs) learn the probability path between a reference distribution and a target distribution by modeling the vector field generating said path using neural networks. Recently, Lipman et al. (2022) introduced a…

Methodology · Statistics 2024-10-29 Alberto Cabezas , Louis Sharrock , Christopher Nemeth

Pairwise Markov Random Fields (MRFs) or undirected graphical models are parsimonious representations of joint probability distributions. Variables correspond to nodes of a graph, with edges between nodes corresponding to conditional…

Statistics Theory · Mathematics 2018-09-18 Eric Janofsky

Most existing generative models are limited to learning a single probability distribution from the training data and cannot generalize to novel distributions for unseen data. An architecture that can generate samples from both trained…

Machine Learning · Computer Science 2024-10-16 Xinyu Liao , Aoyang Qin , Jacob Seidman , Junqi Wang , Wei Wang , Paris Perdikaris

Conditional Normalizing Flows (CNFs) are flexible generative models capable of representing complicated distributions with high dimensionality and large interdimensional correlations, making them appealing for structured output learning.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Mohsen Zand , Ali Etemad , Michael Greenspan

Deep generative models complement Markov-chain-Monte-Carlo methods for efficiently sampling from high-dimensional distributions. Among these methods, explicit generators, such as Normalising Flows (NFs), in combination with the Metropolis…

Machine Learning · Computer Science 2024-05-29 Vikas Kanaujia , Mathias S. Scheurer , Vipul Arora

We propose a novel sampling-based federated learning framework for statistical inference on M-estimators with non-smooth objective functions, which frequently arise in modern statistical applications such as quantile regression and AUC…

Methodology · Statistics 2025-05-06 Xiudi Li , Lu Tian , Tianxi Cai

Non-equilibrium Monte Carlo simulations based on Jarzynski's equality are a well-understood method to compute differences in free energy and also to sample from a target probability distribution without the need to thermalize the system…

High Energy Physics - Lattice · Physics 2024-10-07 Andrea Bulgarelli , Elia Cellini , Alessandro Nada

Score-based diffusion models provide a powerful way to model images using the gradient of the data distribution. Leveraging the learned score function as a prior, here we introduce a way to sample data from a conditional distribution given…

Image and Video Processing · Electrical Eng. & Systems 2022-07-19 Hyungjin Chung , Jong Chul Ye

Anomaly detection plays a crucial role in various real-world applications, including healthcare and finance systems. Owing to the limited number of anomaly labels in these complex systems, unsupervised anomaly detection methods have…

Machine Learning · Computer Science 2023-10-10 Zongyuan Huang , Baohua Zhang , Guoqiang Hu , Longyuan Li , Yanyan Xu , Yaohui Jin

Flow matching models effectively represent complex distributions, yet estimating expectations of functions of their outputs remains challenging under limited sampling budgets. Independent sampling often yields high-variance estimates,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-02 Xinshuang Liu , Runfa Blark Li , Shaoxiu Wei , Truong Nguyen

Markov Chain Monte Carlo (MCMC) methods are a powerful tool for computation with complex probability distributions. However the performance of such methods is critically dependant on properly tuned parameters, most of which are difficult if…

Computation · Statistics 2021-10-27 James A. Brofos , Marylou Gabrié , Marcus A. Brubaker , Roy R. Lederman

The cost of Monte Carlo sampling of lattice configurations is very high in the critical region of lattice field theory due to the high correlation between the samples. This paper suggests a Conditional Normalizing Flow (C-NF) model for…

High Energy Physics - Lattice · Physics 2022-07-05 Ankur Singha , Dipankar Chakrabarti , Vipul Arora

Markov Chain Monte Carlo (MCMC) methods sample from unnormalized probability distributions and offer guarantees of exact sampling. However, in the continuous case, unfavorable geometry of the target distribution can greatly limit the…

Machine Learning · Statistics 2020-10-09 Zengyi Li , Yubei Chen , Friedrich T. Sommer

In this paper, we propose a score-based normalizing flow method called DAG-NF to learn dependencies of input observation data. Inspired by Grad-CAM in computer vision, we use jacobian matrix of output on input as causal relationships and…

Machine Learning · Computer Science 2020-10-08 Xiongren Chen

Normalizing flows model a complex target distribution in terms of a bijective transform operating on a simple base distribution. As such, they enable tractable computation of a number of important statistical quantities, particularly…

Machine Learning · Computer Science 2022-09-01 Chandramouli Shama Sastry , Andreas Lehrmann , Marcus Brubaker , Alexander Radovic

One-step generative modeling seeks to generate high-quality data samples in a single function evaluation, significantly improving efficiency over traditional diffusion or flow-based models. In this work, we introduce Modular MeanFlow (MMF),…

Machine Learning · Computer Science 2025-08-26 Haochen You , Baojing Liu , Hongyang He

We present a novel method for training score-based generative models which uses nonlinear noising dynamics to improve learning of structured distributions. Generalizing to a nonlinear drift allows for additional structure to be incorporated…

Machine Learning · Statistics 2025-07-10 Jeremiah Birrell , Markos A. Katsoulakis , Luc Rey-Bellet , Benjamin J. Zhang , Wei Zhu

This paper introduces temporal-conditioned normalizing flows (tcNF), a novel framework that addresses anomaly detection in time series data with accurate modeling of temporal dependencies and uncertainty. By conditioning normalizing flows…

Machine Learning · Computer Science 2026-03-11 David Baumgartner , Helge Langseth , Kenth Engø-Monsen , Heri Ramampiaro
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