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Traditional History Matching (HM) identifies implausible regions of the input parameter space by comparing scalar outputs of a computer model to observations. It offers higher computational efficiency than Bayesian calibration, making it…

Applications · Statistics 2025-09-05 Ryuichi Kanai , Nicolás Hernández , Devaraj Gopinathan , Serge Guillas

Neural posterior estimation methods based on discrete normalizing flows have become established tools for simulation-based inference (SBI), but scaling them to high-dimensional problems can be challenging. Building on recent advances in…

Machine Learning · Computer Science 2023-10-30 Maximilian Dax , Jonas Wildberger , Simon Buchholz , Stephen R. Green , Jakob H. Macke , Bernhard Schölkopf

Flow matching models have shown great potential in image generation tasks among probabilistic generative models. However, most flow matching models in the literature do not explicitly utilize the underlying clustering structure in the…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Anirban Samaddar , Yixuan Sun , Viktor Nilsson , Sandeep Madireddy

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

We introduce Coupled Flow Matching (CPFM), a framework that integrates controllable dimensionality reduction and high-fidelity reconstruction. CPFM learns coupled continuous flows for both the high-dimensional data x and the low-dimensional…

Machine Learning · Statistics 2025-10-28 Wenxi Cai , Yuheng Wang , Naichen Shi

When large language models are fine-tuned to generate persona- or tone-conditioned responses, their output diversity is severely limited--a failure we term Cross-Style Collapse. We trace this collapse to the cross-entropy objective, which…

Computation and Language · Computer Science 2026-05-28 Kerui Peng , Feifei Li , Xingyu Fan , Wenhui Que

Conditional flow matching (CFM) stands out as an efficient, simulation-free approach for training flow-based generative models, achieving remarkable performance for data generation. However, CFM is insufficient to ensure accuracy in…

Machine Learning · Computer Science 2026-02-03 Yuhao Huang , Taos Transue , Shih-Hsin Wang , William Feldman , Hong Zhang , Bao Wang

In this work, we introduce an efficient generation procedure to produce synthetic multi-modal datasets of fluid simulations. The procedure can reproduce the dynamics of fluid flows and allows for exploring and learning various properties of…

Computational Physics · Physics 2024-03-11 Daniele Baieri , Donato Crisostomi , Stefano Esposito , Filippo Maggioli , Emanuele Rodolà

Scene flow enables an understanding of the motion characteristics of the environment in the 3D world. It gains particular significance in the long-range, where object-based perception methods might fail due to sparse observations far away.…

Computer Vision and Pattern Recognition · Computer Science 2025-01-30 Ajinkya Khoche , Qingwen Zhang , Laura Pereira Sanchez , Aron Asefaw , Sina Sharif Mansouri , Patric Jensfelt

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

Access to longitudinal, individual-level data on work-life balance and wellbeing is limited by privacy, ethical, and logistical constraints. This poses challenges for reproducible research, methodological benchmarking, and education in…

Machine Learning · Computer Science 2025-12-30 Wafaa El Husseini

We reconstruct the velocity field of incompressible flows given a finite set of measurements. For the spatial approximation, we introduce the Sparse Fourier divergence-free (SFdf) approximation based on a discrete $L^2$ projection. Within…

Fluid Dynamics · Physics 2021-10-13 Luis Espath , Dmitry Kabanov , Jonas Kiessling , Raúl Tempone

Hamilton's equations are fundamental for modeling complex physical systems, where preserving key properties such as energy and momentum is crucial for reliable long-term simulations. Geometric integrators are widely used for this purpose,…

Machine Learning · Computer Science 2026-03-17 Priscilla Canizares , Davide Murari , Carola-Bibiane Schönlieb , Ferdia Sherry , Zakhar Shumaylov

Diffusion-based generative models have achieved state-of-the-art performance for perceptual quality in speech enhancement (SE). However, their iterative nature requires numerous Neural Function Evaluations (NFEs), posing a challenge for…

Generative models have the potential to transform the way we emulate Earth's changing climate. Previous generative approaches rely on weather-scale autoregression for climate emulation, but this is inherently slow for long climate horizons…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Jeremy Andrew Irvin , Jiaqi Han , Zikui Wang , Abdulaziz Alharbi , Yufei Zhao , Nomin-Erdene Bayarsaikhan , Daniele Visioni , Andrew Y. Ng , Duncan Watson-Parris

Inferring the evolution of high-dimensional and multi-modal (e.g., spatio-temporal) physical fields from irregular sparse measurements in real time is a fundamental challenge in science and engineering. Existing approaches, including…

Machine Learning · Computer Science 2026-05-12 Panqi Chen , Yifan Sun , Shikai Fang , Xiao Fu , Lei Cheng

Deep generative models that produce novel molecular structures have the potential to facilitate chemical discovery. Flow matching is a recently proposed generative modeling framework that has achieved impressive performance on a variety of…

Machine Learning · Computer Science 2024-11-26 Ian Dunn , David R. Koes

Hamilton's equations of motion form a fundamental framework in various branches of physics, including astronomy, quantum mechanics, particle physics, and climate science. Classical numerical solvers are typically employed to compute the…

Machine Learning · Computer Science 2024-10-25 Priscilla Canizares , Davide Murari , Carola-Bibiane Schönlieb , Ferdia Sherry , Zakhar Shumaylov

Flow matching as a paradigm of generative model achieves notable success across various domains. However, existing methods use either multi-round training or knowledge within minibatches, posing challenges in finding a favorable coupling…

Computer Vision and Pattern Recognition · Computer Science 2025-09-05 Siyu Xing , Jie Cao , Huaibo Huang , Haichao Shi , Xiao-Yu Zhang

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