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Related papers: Iterated Energy-based Flow Matching for Sampling f…

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Flow matching (FM) learns vector fields by regressing stochastic velocity targets along intermediate distributions $p_t$. We identify a geometric optimization bottleneck in this regression problem: when the covariance $\Sigma_t$ of $p_t$ is…

Machine Learning · Computer Science 2026-05-14 Shadab Ahamed , Eshed Gal , Md Shahriar Rahim Siddiqui , Simon Ghyselincks , Moshe Eliasof , Eldad Haber

We propose Riemannian Flow Matching (RFM), a simple yet powerful framework for training continuous normalizing flows on manifolds. Existing methods for generative modeling on manifolds either require expensive simulation, are inherently…

Machine Learning · Computer Science 2024-02-27 Ricky T. Q. Chen , Yaron Lipman

The Normalizing Flow (NF) models a general probability density by estimating an invertible transformation applied on samples drawn from a known distribution. We introduce a new type of NF, called Deep Diffeomorphic Normalizing Flow (DDNF).…

Machine Learning · Statistics 2018-11-26 Hadi Salman , Payman Yadollahpour , Tom Fletcher , Kayhan Batmanghelich

While denoising diffusion and flow matching have driven major advances in generative modeling, their application to tabular data remains limited, despite its ubiquity in real-world applications. To this end, we develop TabbyFlow, a…

Machine Learning · Computer Science 2025-10-06 Andrés Guzmán-Cordero , Floor Eijkelboom , Jan-Willem van de Meent

Normalizing flows can transform a simple prior probability distribution into a more complex target distribution. Here, we evaluate the ability and efficiency of generative machine learning methods to sample the Boltzmann distribution of an…

Soft Condensed Matter · Physics 2024-09-16 Gerhard Jung , Giulio Biroli , Ludovic Berthier

Simulating transition dynamics between metastable states is a fundamental challenge in dynamical systems and stochastic processes with wide real-world applications in understanding protein folding, chemical reactions and neural activities.…

Machine Learning · Computer Science 2024-10-22 Haibo Wang , Yuxuan Qiu , Yanze Wang , Rob Brekelmans , Yuanqi Du

We introduce the Generalized Energy Based Model (GEBM) for generative modelling. These models combine two trained components: a base distribution (generally an implicit model), which can learn the support of data with low intrinsic…

Machine Learning · Statistics 2021-12-22 Michael Arbel , Liang Zhou , Arthur Gretton

We introduce Statistical Flow Matching (SFM), a novel and mathematically rigorous flow-matching framework on the manifold of parameterized probability measures inspired by the results from information geometry. We demonstrate the…

Machine Learning · Computer Science 2025-11-26 Chaoran Cheng , Jiahan Li , Jian Peng , Ge Liu

Taking advantage of the advances in generative deep learning, particularly normalizing flow, a framework, called Boltzmann Generator, has recently been proposed for the purpose of generating equilibrium atomic configurations from the…

Statistical Mechanics · Physics 2022-07-27 Rasool Ahmad , Wei Cai

We study the problem of training diffusion models to sample from a distribution with a given unnormalized density or energy function. We benchmark several diffusion-structured inference methods, including simulation-based variational…

Simulation-free training frameworks have been at the forefront of the generative modelling revolution in continuous spaces, leading to large-scale diffusion and flow matching models. However, such modern generative models suffer from…

Machine Learning · Computer Science 2025-10-31 Danyal Rehman , Oscar Davis , Jiarui Lu , Jian Tang , Michael Bronstein , Yoshua Bengio , Alexander Tong , Avishek Joey Bose

We formulate the inverse problem in a Bayesian framework and aim to train a generative model that allows us to simulate (i.e., sample from the likelihood) and do inference (i.e., sample from the posterior). We review the use of triangular…

Machine Learning · Statistics 2025-09-05 Tristan van Leeuwen , Christoph Brune , Marcello Carioni

We introduce ContinualFlow, a principled framework for targeted unlearning in generative models via Flow Matching. Our method leverages an energy-based reweighting loss to softly subtract undesired regions of the data distribution without…

Machine Learning · Computer Science 2025-06-24 Lorenzo Simone , Davide Bacciu , Shuangge Ma

Energy-based models (EBMs) have experienced a resurgence within machine learning in recent years, including as a promising alternative for probabilistic regression. However, energy-based regression requires a proposal distribution to be…

Machine Learning · Computer Science 2023-11-08 Fredrik K. Gustafsson , Martin Danelljan , Thomas B. Schön

Energy-based models (EBM) have become increasingly popular within computer vision. EBMs bring a probabilistic approach to training deep neural networks (DNN) and have been shown to enhance performance in areas such as calibration,…

Machine Learning · Computer Science 2023-04-05 Jacob Piland , Christopher Sweet , Priscila Saboia , Charles Vardeman , Adam Czajka

By chaining a sequence of differentiable invertible transformations, normalizing flows (NF) provide an expressive method of posterior approximation, exact density evaluation, and sampling. The trend in normalizing flow literature has been…

Machine Learning · Computer Science 2020-10-20 Robert Giaquinto , Arindam Banerjee

Efficient sampling of the Boltzmann distribution of molecular systems is a long-standing challenge. Recently, instead of generating long molecular dynamics simulations, generative machine learning methods such as normalizing flows have been…

Machine Learning · Computer Science 2024-08-06 Henrik Schopmans , Pascal Friederich

Energy-based models for discrete domains, such as graphs, explicitly capture relative likelihoods, naturally enabling composable probabilistic inference tasks like conditional generation or enforcing constraints at test-time. However,…

In this work, we demonstrate how to reliably estimate epistemic uncertainty while maintaining the flexibility needed to capture complicated aleatoric distributions. To this end, we propose an ensemble of Normalizing Flows (NF), which are…

Machine Learning · Computer Science 2023-10-05 Lucas Berry , David Meger

Bayesian filtering for high-dimensional nonlinear stochastic dynamical systems is a fundamental yet challenging problem in many fields of science and engineering. Existing methods face significant obstacles: Gaussian-based filters struggle…

Numerical Analysis · Mathematics 2025-03-06 Xintong Wang , Xiaofei Guan , Ling Guo , Hao Wu
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