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Modern continuous-time generative models typically induce \emph{V-shaped} flows: each sample travels independently along a nearly straight trajectory from the prior to the data. Although effective, this independent movement overlooks the…

机器学习 · 计算机科学 2026-02-05 Arip Asadulaev , Semyon Semenov , Abduragim Shtanchaev , Eric Moulines , Fakhri Karray , Martin Takac

The computational cost associated with simulating fluid flows can make it infeasible to run many simulations across multiple flow conditions. Building upon concepts from generative modeling, we introduce a new method for learning neural…

计算物理 · 物理学 2019-12-17 Jeremy Morton , Freddie D. Witherden , Mykel J. Kochenderfer

We propose a new framework for generative modeling based on a discrete-time stochastic control formulation of measure transport. Adapting classic results from control theory, we formulate our problem as a linear program whose dual variables…

机器学习 · 计算机科学 2026-05-22 Pablo Moreno-Muñoz , Adrian Müller , Gergely Neu

We present Generative Anchored Fields (GAF), a generative model that learns independent endpoint predictors, $J$ (noise) and $K$ (data), from any point on a linear bridge. Unlike existing approaches that use a single trajectory or score…

机器学习 · 计算机科学 2026-02-17 Deressa Wodajo Deressa , Hannes Mareen , Peter Lambert , Glenn Van Wallendael

Given (small amounts of) time-series' data from a high-dimensional, fine-grained, multiscale dynamical system, we propose a generative framework for learning an effective, lower-dimensional, coarse-grained dynamical model that is predictive…

机器学习 · 统计学 2021-01-18 Sebastian Kaltenbach , Phaedon-Stelios Koutsourelakis

Modern generative modeling is dominated by transport from a noise prior to data. We propose an alternative paradigm in which generation is performed by a discrete stochastic dynamics that leaves the data distribution invariant, initialized…

机器学习 · 计算机科学 2026-05-11 Eshed Gal , Md Shahriar Rahim Siddiqui , Moshe Eliasof , Eldad Haber

Generating realistic vehicle speed trajectories is a crucial component in evaluating vehicle fuel economy and in predictive control of self-driving cars. Traditional generative models rely on Markov chain methods and can produce accurate…

机器学习 · 计算机科学 2021-12-17 Farnaz Behnia , Dominik Karbowski , Vadim Sokolov

In this paper, we propose Continuous Graph Flow, a generative continuous flow based method that aims to model complex distributions of graph-structured data. Once learned, the model can be applied to an arbitrary graph, defining a…

机器学习 · 计算机科学 2019-10-01 Zhiwei Deng , Megha Nawhal , Lili Meng , Greg Mori

We introduce Flux Matching, a new paradigm for generative modeling that generalizes existing score-based models to a broader family of vector fields that need not be conservative. Rather than requiring the model to equal the data score, the…

机器学习 · 计算机科学 2026-05-11 Peter Pao-Huang , Xiaojie Qiu , Stefano Ermon

Normalizing flows, diffusion normalizing flows and variational autoencoders are powerful generative models. This chapter provides a unified framework to handle these approaches via Markov chains. We consider stochastic normalizing flows as…

机器学习 · 计算机科学 2023-02-06 Paul Hagemann , Johannes Hertrich , Gabriele Steidl

This paper presents a novel generative model to synthesize fluid simulations from a set of reduced parameters. A convolutional neural network is trained on a collection of discrete, parameterizable fluid simulation velocity fields. Due to…

机器学习 · 计算机科学 2019-09-05 Byungsoo Kim , Vinicius C. Azevedo , Nils Thuerey , Theodore Kim , Markus Gross , Barbara Solenthaler

We propose a unified, few-step generative modeling framework based on \emph{cumulative flow maps} for long-range transport in probability space, inspired by flow-map techniques for physical transport and dynamics. At its core is a…

机器学习 · 计算机科学 2026-05-06 Zhiqi Li , Duowen Chen , Yuchen Sun , Bo Zhu

Sampling conditional distributions is a fundamental task for Bayesian inference and density estimation. Generative models, such as normalizing flows and generative adversarial networks, characterize conditional distributions by learning a…

We survey continuous-time generative modeling methods based on transporting a simple reference distribution to a data distribution via stochastic or deterministic dynamics. We present a unified framework in which diffusion models,…

机器学习 · 计算机科学 2026-05-11 Aditya Ranganath , Mukesh Singhal

For domains that involve numerical simulation, it can be computationally expensive to run an ensemble of simulations spanning a parameter space of interest to a user. To this end, an attractive surrogate for simulation is the generative…

机器学习 · 计算机科学 2025-05-13 Xiaohan Wang , Matthew Berger

Learning to sample from complex unnormalized distributions is a fundamental challenge in computational physics and machine learning. While score-based and variational methods have achieved success in continuous domains, extending them to…

机器学习 · 统计学 2026-03-11 Lei Li , Zhen Wang , Lishuo Zhang

We explore a data-driven approach for learning to optimize neural networks. We construct a dataset of neural network checkpoints and train a generative model on the parameters. In particular, our model is a conditional diffusion transformer…

机器学习 · 计算机科学 2022-09-27 William Peebles , Ilija Radosavovic , Tim Brooks , Alexei A. Efros , Jitendra Malik

Guidance of generative models is typically achieved by modifying the probability flow vector field through the addition of a guidance field. In this paper, we instead propose the Source-Guided Flow Matching (SGFM) framework, which modifies…

机器学习 · 计算机科学 2025-08-25 Zifan Wang , Alice Harting , Matthieu Barreau , Michael M. Zavlanos , Karl H. Johansson

Invertible flow-based generative models are an effective method for learning to generate samples, while allowing for tractable likelihood computation and inference. However, the invertibility requirement restricts models to have the same…

机器学习 · 计算机科学 2020-02-21 Abhishek Kumar , Ben Poole , Kevin Murphy

Normalizing flows provide an elegant approach to generative modeling that allows for efficient sampling and exact density evaluation of unknown data distributions. However, current techniques have significant limitations in their…

机器学习 · 计算机科学 2022-06-22 Sahil Sidheekh , Chris B. Dock , Tushar Jain , Radu Balan , Maneesh K. Singh
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