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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

Modeling stochastic and irregularly sampled time series is a challenging problem found in a wide range of applications, especially in medicine. Neural stochastic differential equations (Neural SDEs) are an attractive modeling technique for…

Machine Learning · Computer Science 2025-02-05 Xi Zhang , Yuan Pu , Yuki Kawamura , Andrew Loza , Yoshua Bengio , Dennis L. Shung , Alexander Tong

Continuous normalizing flows (CNFs) can model data distributions with expressive infinite-length architectures. But this modeling involves computationally expensive process of solving an ordinary differential equation (ODE) during maximum…

Machine Learning · Computer Science 2024-10-15 Denis Gudovskiy , Tomoyuki Okuno , Yohei Nakata

Boltzmann Generators have emerged as a promising machine learning tool for generating samples from equilibrium distributions of molecular systems using Normalizing Flows and importance weighting. Recently, Flow Matching has helped speed up…

Machine Learning · Statistics 2025-10-21 Lorenz Vaitl , Leon Klein

The Generative Flow Network is a probabilistic framework where an agent learns a stochastic policy for object generation, such that the probability of generating an object is proportional to a given reward function. Its effectiveness has…

Machine Learning · Computer Science 2022-10-10 Ling Pan , Dinghuai Zhang , Aaron Courville , Longbo Huang , Yoshua Bengio

Diffusion models have revolutionized generative tasks through high-fidelity outputs, yet flow matching (FM) offers faster inference and empirical performance gains. However, current foundation FM models are computationally prohibitive for…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Johannes Schusterbauer , Ming Gui , Frank Fundel , Björn Ommer

Motion prediction has been studied in different contexts with models trained on narrow distributions and applied to downstream tasks in human motion prediction and robotics. Simultaneously, recent efforts in scaling video prediction have…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Johnathan Xie , Stefan Stojanov , Cristobal Eyzaguirre , Daniel L. K. Yamins , Jiajun Wu

We present Gradient Gating (G$^2$), a novel framework for improving the performance of Graph Neural Networks (GNNs). Our framework is based on gating the output of GNN layers with a mechanism for multi-rate flow of message passing…

Traditional discriminative computer vision relies predominantly on static projections, mapping input features to outputs in a single computational step. Although efficient, this paradigm lacks the iterative refinement and robustness…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Om Govind Jha , Manoj Bamniya , Ayon Borthakur

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

Numerous biological and physical processes can be modeled as systems of interacting entities evolving continuously over time, e.g. the dynamics of communicating cells or physical particles. Learning the dynamics of such systems is essential…

Coarse-grained (CG) molecular simulations have become a standard tool to study molecular processes on time- and length-scales inaccessible to all-atom simulations. Parameterizing CG force fields to match all-atom simulations has mainly…

Computational Physics · Physics 2023-02-07 Jonas Köhler , Yaoyi Chen , Andreas Krämer , Cecilia Clementi , Frank Noé

Building efficient and effective generative models for neural network weights has been a research focus of significant interest that faces challenges posed by the high-dimensional weight spaces of modern neural networks and their…

Machine Learning · Computer Science 2026-05-01 Saumya Gupta , Scott Biggs , Moritz Laber , Zohair Shafi , Robin Walters , Ayan Paul

Large Language Models (LLMs) have demonstrated exceptional capabilities across diverse natural language processing benchmarks. However, the escalating scale of model parameters imposes prohibitive memory overheads during training,…

Machine Learning · Computer Science 2026-04-28 Ziqing Wen , Ping Luo , Jiahuan Wang , Kun Yuan , Dongsheng Li , Tao Sun

Flow Matching has emerged as a powerful framework for learning continuous transformations between distributions, enabling high-fidelity generative modeling. This work introduces Symmetrical Flow Matching (SymmFlow), a new formulation that…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Francisco Caetano , Christiaan Viviers , Peter H. N. De With , Fons van der Sommen

Flow matching (FM) is a general framework for defining probability paths via Ordinary Differential Equations (ODEs) to transform between noise and data samples. Recent approaches attempt to straighten these flow trajectories to generate…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Ling Yang , Zixiang Zhang , Zhilong Zhang , Xingchao Liu , Minkai Xu , Wentao Zhang , Chenlin Meng , Stefano Ermon , Bin Cui

The paper surveys recent progresses in understanding the dynamics and loss landscape of the gradient flow equations associated to deep linear neural networks, i.e., the gradient descent training dynamics (in the limit when the step size…

Machine Learning · Computer Science 2025-11-14 Joel Wendin , Claudio Altafini

Understanding the training dynamics of transformers is important to explain the impressive capabilities behind large language models. In this work, we study the dynamics of training a shallow transformer on a task of recognizing…

Machine Learning · Computer Science 2024-10-15 Hongru Yang , Bhavya Kailkhura , Zhangyang Wang , Yingbin Liang

To mitigate the negative effect of low quality training data on the performance of neural machine translation models, most existing strategies focus on filtering out harmful data before training starts. In this paper, we explore strategies…

Computation and Language · Computer Science 2021-03-01 Xinyi Wang , Ankur Bapna , Melvin Johnson , Orhan Firat

Foundation Models (FMs) serve as a general class for the development of artificial intelligence systems, offering broad potential for generalization across a spectrum of downstream tasks. Despite extensive research into self-supervised…

Machine Learning · Computer Science 2024-06-17 Yuhao Xu , Xinqi Liu , Keyu Duan , Yi Fang , Yu-Neng Chuang , Daochen Zha , Qiaoyu Tan