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Flow models parameterized as time-dependent velocity fields can generate data from noise by integrating an ODE. These models are often trained using flow matching, i.e. by sampling random pairs of noise and target points…

Machine Learning · Computer Science 2026-01-26 Alireza Mousavi-Hosseini , Stephen Y. Zhang , Michal Klein , Marco Cuturi

Simulation-free methods for training continuous-time generative models construct probability paths that go between noise distributions and individual data samples. Recent works, such as Flow Matching, derived paths that are optimal for each…

Flow Matching (FM) is a recent generative modelling technique: we aim to learn how to sample from distribution $\mathfrak{X}_1$ by flowing samples from some distribution $\mathfrak{X}_0$ that is easy to sample from. The key trick is that…

Differential Geometry · Mathematics 2025-10-24 Finn M. Sherry , Bart M. N. Smets

Dataset condensation aims to condense a large dataset with a lot of training samples into a small set. Previous methods usually condense the dataset into the pixels format. However, it suffers from slow optimization speed and large number…

Computer Vision and Pattern Recognition · Computer Science 2023-09-15 David Junhao Zhang , Heng Wang , Chuhui Xue , Rui Yan , Wenqing Zhang , Song Bai , Mike Zheng Shou

While diffusion models generate high-quality images via probability flow, the theoretical understanding of this process remains incomplete. A key question is when probability flow converges to training samples or more general points on the…

Machine Learning · Statistics 2025-06-25 Chen Zeno , Hila Manor , Greg Ongie , Nir Weinberger , Tomer Michaeli , Daniel Soudry

Generative Flow Networks (GFlowNets, GFNs) are a generative framework for learning unnormalized probability mass functions over discrete spaces. Since their inception, GFlowNets have proven to be useful for learning generative models in…

Machine Learning · Computer Science 2025-04-17 Lazar Atanackovic , Emmanuel Bengio

We introduce a latent 3D representation that models 3D surfaces as probability density functions in 3D, i.e., p(x,y,z), with flow-matching. Our representation is specifically designed for consumption by machine learning models, offering…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Jen-Hao Rick Chang , Yuyang Wang , Miguel Angel Bautista Martin , Jiatao Gu , Xiaoming Zhao , Josh Susskind , Oncel Tuzel

Deep generative models provide state-of-the-art performance across a wide array of applications, with recent studies showing increasing applicability for science and engineering. Despite a growing corpus of literature focused on the…

Machine Learning · Computer Science 2026-05-14 Jacob K. Christopher , James E. Warner , Ferdinando Fioretto

End-to-end deep networks represent the state of the art for stereo matching. While excelling on images framing environments similar to the training set, major drops in accuracy occur in unseen domains (e.g., when moving from synthetic to…

Computer Vision and Pattern Recognition · Computer Science 2020-10-16 Changjiang Cai , Matteo Poggi , Stefano Mattoccia , Philippos Mordohai

Generative Flow Networks (or GFlowNets for short) are a family of probabilistic agents that learn to sample complex combinatorial structures through the lens of "inference as control". They have shown great potential in generating…

Machine Learning · Computer Science 2023-06-27 Ling Pan , Dinghuai Zhang , Moksh Jain , Longbo Huang , Yoshua Bengio

Physical systems with complex unsteady dynamics, such as fluid flows, are often poorly represented by a single mean solution. For many practical applications, it is crucial to access the full distribution of possible states, from which…

Computational Physics · Physics 2025-04-07 Mario Lino , Tobias Pfaff , Nils Thuerey

Many machine learning problems encode their data as a matrix with a possibly very large number of rows and columns. In several applications like neuroscience, image compression or deep reinforcement learning, the principal subspace of such…

Flow-based models typically define a latent space with dimensionality identical to the observational space. In many problems, however, the data does not populate the full ambient data space that they natively reside in, rather inhabiting a…

Machine Learning · Statistics 2023-02-24 Mingtian Zhang , Yitong Sun , Chen Zhang , Steven McDonagh

The growth and success of deep learning approaches can be attributed to two major factors: availability of hardware resources and availability of large number of training samples. For problems with large training databases, deep learning…

Computer Vision and Pattern Recognition · Computer Science 2020-08-11 Rohit Keshari , Soumyadeep Ghosh , Saheb Chhabra , Mayank Vatsa , Richa Singh

Generative Flow Networks (GFlowNets) have emerged as an innovative learning paradigm designed to address the challenge of sampling from an unnormalized probability distribution, called the reward function. This framework learns a policy on…

Machine Learning · Computer Science 2024-07-04 Anas Krichel , Nikolay Malkin , Salem Lahlou , Yoshua Bengio

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

The multi-step denoising process in diffusion and Flow Matching models causes major efficiency issues, which motivates research on few-step generation. We present Solution Flow Models (SoFlow), a framework for one-step generation from…

Machine Learning · Computer Science 2026-03-03 Tianze Luo , Haotian Yuan , Zhuang Liu

Continuous-time generative models, such as Flow Matching (FM), construct probability paths to transport between one distribution and another through the simulation-free learning of the neural ordinary differential equations (ODEs). During…

Machine Learning · Computer Science 2024-05-24 Qunxi Zhu , Wei Lin

Flow matching models have emerged as a powerful method for generative modeling on domains like images or videos, and even on irregular or unstructured data like 3D point clouds or even protein structures. These models are commonly trained…

Machine Learning · Computer Science 2025-05-30 Yuyang Wang , Anurag Ranjan , Josh Susskind , Miguel Angel Bautista

Flow-matching models deliver state-of-the-art fidelity in image and video generation, but the inherent sequential denoising process renders them slower. Existing acceleration methods like distillation, trajectory truncation, and consistency…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Divya Jyoti Bajpai , Dhruv Bhardwaj , Soumya Roy , Tejas Duseja , Harsh Agarwal , Aashay Sandansing , Manjesh Kumar Hanawal