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This paper proposes a novel method, Explicit Flow Matching (ExFM), for training and analyzing flow-based generative models. ExFM leverages a theoretically grounded loss function, ExFM loss (a tractable form of Flow Matching (FM) loss), to…

Machine Learning · Computer Science 2024-07-03 Gleb Ryzhakov , Svetlana Pavlova , Egor Sevriugov , Ivan Oseledets

The goal of inverse design in distributed circuits is to generate near-optimal designs that meet a desirable transfer function specification. Existing design exploration methods use some combination of strategies involving artificial grids,…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Jiayu Li , Masood Mortazavi , Ning Yan , Yihong Ma , Reza Zafarani

This paper introduces a methodology designed to augment the inverse design optimization process in scenarios constrained by limited compute, through the strategic synergy of multi-fidelity evaluations, machine learning models, and…

Computational Engineering, Finance, and Science · Computer Science 2024-06-04 Luka Grbcic , Juliane Müller , Wibe Albert de Jong

Inverse design in science and engineering involves determining optimal design parameters that achieve desired performance outcomes, a process often hindered by the complexity and high dimensionality of design spaces, leading to significant…

Machine Learning · Computer Science 2025-02-24 Luka Grbcic , Juliane Müller , Wibe Albert de Jong

This study presents a conditional flow matching framework for solving physics-constrained Bayesian inverse problems. In this setting, samples from the joint distribution of inferred variables and measurements are assumed available, while…

Learning the inverse dynamics of soft continuum robots remains challenging due to high-dimensional nonlinearities and complex actuation coupling. Conventional feedback-based controllers often suffer from control chattering due to corrective…

Robotics · Computer Science 2026-04-06 Hang Yang , Fangju Yang , Yangming Zhang , Ibrahim Alsarraj , Yuhao Wang , Zhenye Luo , Zixi Chen , Ke Wu

Generative models based on dynamical equations such as flows and diffusions offer exceptional sample quality, but require computationally expensive numerical integration during inference. The advent of consistency models has enabled…

Machine Learning · Computer Science 2025-06-04 Nicholas M. Boffi , Michael S. Albergo , Eric Vanden-Eijnden

Visually-guided acoustic highlighting seeks to rebalance audio in alignment with the accompanying video, creating a coherent audio-visual experience. While visual saliency and enhancement have been widely studied, acoustic highlighting…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-05 Hugo Malard , Gael Le Lan , Daniel Wong , David Lou Alon , Yi-Chiao Wu , Sanjeel Parekh

Flow Matching (FM) has recently emerged as a leading approach for high-fidelity visual generation, offering a robust continuous-time alternative to ordinary differential equation (ODE) based models. However, despite their success, FM models…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Dayu Wang , Jiaye Yang , Weikang Li , Jiahui Liang , Yang Li

Standard flow matching scales well but typically relies on an unstructured source distribution, limiting its ability to learn interpretable latent structure. Latent-variable models, by contrast, capture structure but often sacrifice…

Machine Learning · Computer Science 2026-05-11 Xavier Sumba , Carles Balsells-Rodas , Yingzhen Li

The inverse approach is computationally efficient in aerodynamic design as the desired target performance distribution is prespecified. However, it has some significant limitations that prevent it from achieving full efficiency. First, the…

Machine Learning · Computer Science 2022-03-10 Sunwoong Yang , Sanga Lee , Kwanjung Yee

Deep generative models have recently been applied to physical systems governed by partial differential equations (PDEs), offering scalable simulation and uncertainty-aware inference. However, enforcing physical constraints, such as…

Machine Learning · Computer Science 2025-11-27 Utkarsh Utkarsh , Pengfei Cai , Alan Edelman , Rafael Gomez-Bombarelli , Christopher Vincent Rackauckas

While generative modeling has achieved remarkable success on tasks like natural language-conditioned image generation, enabling model adaptation from example data points remains a relatively underexplored and challenging problem. To this…

Machine Learning · Computer Science 2026-05-08 Tyler Ingebrand , Ruihan Zhao , Kushagra Gupta , David Fridovich-Keil , Sandeep P. Chinchali , Ufuk Topcu

We present a formulation of flow matching as variational inference, which we refer to as variational flow matching (VFM). Based on this formulation we develop CatFlow, a flow matching method for categorical data. CatFlow is easy to…

Machine Learning · Computer Science 2025-08-19 Floor Eijkelboom , Grigory Bartosh , Christian Andersson Naesseth , Max Welling , Jan-Willem van de Meent

Finding a suitable layout represents a crucial task for diverse applications in graphic design. Motivated by simpler and smoother sampling trajectories, we explore the use of Flow Matching as an alternative to current diffusion-based layout…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Julian Jorge Andrade Guerreiro , Naoto Inoue , Kento Masui , Mayu Otani , Hideki Nakayama

We propose Pullback Flow Matching (PFM), a novel framework for generative modeling on data manifolds. Unlike existing methods that assume or learn restrictive closed-form manifold mappings for training Riemannian Flow Matching (RFM) models,…

Machine Learning · Computer Science 2025-07-10 Friso de Kruiff , Erik Bekkers , Ozan Öktem , Carola-Bibiane Schönlieb , Willem Diepeveen

This paper studies the inverse problem of flow matching (FM) between distributions with finite exponential moment, a problem motivated by modern generative AI applications such as the distillation of flow matching models. Uniqueness of the…

Machine Learning · Computer Science 2025-12-30 Alexander Korotin , Gudmund Pammer

Conditional Flow Matching (CFM) models can generate high-quality samples from a non-informative prior, but they can be slow, often needing hundreds of network evaluations (NFE). To address this, we propose Implicit Dynamical Flow Fusion…

Machine Learning · Computer Science 2025-05-28 Mohammad R. Rezaei , Milos R. Popovic , Milad Lankarany , Rahul G. Krishnan

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

Existing generative models for time series forecasting often transform simple priors (typically Gaussian) into complex data distributions. However, their sampling initialization, independent of historical data, hinders the capture of…

Machine Learning · Computer Science 2025-08-12 Huibo Xu , Runlong Yu , Likang Wu , Xianquan Wang , Qi Liu