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We propose a deterministic adjoint matching framework that formulates human preference alignment for flow-based generative models as an optimal control problem over velocity fields. One can directly regress the control toward a…

Artificial Intelligence · Computer Science 2026-05-08 Zhengyi Guo , Jiayuan Sheng , David D. Yao , Wenpin Tang

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

In this paper, we explore a novel image matting task aimed at achieving efficient inference under various computational cost constraints, specifically FLOP limitations, using a single matting network. Existing matting methods which have not…

Computer Vision and Pattern Recognition · Computer Science 2025-03-06 Qinglin Liu , Zonglin Li , Xiaoqian Lv , Xin Sun , Ru Li , Shengping Zhang

Continuous-time Consistency Models (CMs) promise efficient few-step generation but face significant challenges with training instability. We argue this instability stems from a fundamental conflict: Training the network exclusively on a…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Yansong Peng , Kai Zhu , Yu Liu , Pingyu Wu , Hebei Li , Xiaoyan Sun , Feng Wu

We propose a machine-learning-based methodology for in-situ weather forecast postprocessing that is both spatially coherent and multivariate. Compared to previous work, our Flow MAtching Postprocessing (FMAP) better represents the…

Atmospheric and Oceanic Physics · Physics 2025-04-28 David Landry , Claire Monteleoni , Anastase Charantonis

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

Training deep neural networks remains computationally intensive due to the itera2 tive nature of gradient-based optimization. We propose Gradient Flow Matching (GFM), a continuous-time modeling framework that treats neural network training…

Machine Learning · Computer Science 2025-05-27 Xiao Shou , Yanna Ding , Jianxi Gao

Current state-of-the-art generative models map noise to data distributions by matching flows or scores. A key limitation of these models is their inability to readily integrate available partial observations and additional priors. In…

Flow matching (FM) has gained significant attention as a simulation-free generative model. Unlike diffusion models, which are based on stochastic differential equations, FM employs a simpler approach by solving an ordinary differential…

Machine Learning · Computer Science 2024-10-14 Kenji Fukumizu , Taiji Suzuki , Noboru Isobe , Kazusato Oko , Masanori Koyama

Molecular structure generation is a fundamental problem that involves determining the 3D positions of molecules' constituents. It has crucial biological applications, such as molecular docking, protein folding, and molecular design. Recent…

Machine Learning · Computer Science 2025-08-27 Wenyin Zhou , Christopher Iliffe Sprague , Vsevolod Viliuga , Matteo Tadiello , Arne Elofsson , Hossein Azizpour

Given a sequence of possibly sparse and noisy GPS traces and a map of the road network, map matching algorithms can infer the most accurate trajectory on the road network. However, if the road network is wrong (for example due to missing or…

Optimization and Control · Mathematics 2019-09-09 James Murphy , Yuanyuan Pao , Albert Yuen

Optimal transport (OT) theory underlies many emerging machine learning (ML) methods nowadays solving a wide range of tasks such as generative modeling, transfer learning and information retrieval. These latter works, however, usually build…

Machine Learning · Statistics 2021-12-03 Quang Huy Tran , Hicham Janati , Ievgen Redko , Rémi Flamary , Nicolas Courty

Forecasting conditional stochastic nonlinear dynamical systems is a fundamental challenge repeatedly encountered across the biological and physical sciences. While flow-based models can impressively predict the temporal evolution of…

Machine Learning · Computer Science 2025-04-02 Adam P. Generale , Andreas E. Robertson , Surya R. Kalidindi

The employment of unmanned aerial vehicles (UAVs) in the lowaltitude economy necessitates precise and real-time radio maps for reliable communication and safe navigation. However, constructing such maps is hindered by the infeasibility of…

Signal Processing · Electrical Eng. & Systems 2025-09-18 Hao Sun , Shicong Liu , Xianghao Yu , Ying Sun

Flow-matching generative models are increasingly used to simulate cell responses to biological perturbations. However, the design space for building such models is large and underexplored. We systematically analyse the design space of flow…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Charles Jones , Emmanuel Noutahi , Jason Hartford , Cian Eastwood

Optimal transport (OT) is a powerful geometric tool used to compare and align probability measures following the least effort principle. Despite its widespread use in machine learning (ML), OT problem still bears its computational burden,…

Machine Learning · Computer Science 2023-08-14 Oliver Struckmeier , Ievgen Redko , Anton Mallasto , Karol Arndt , Markus Heinonen , Ville Kyrki

Model merging offers a scalable alternative to multi-task learning but often yields suboptimal performance on classification tasks. We attribute this degradation to a geometric misalignment between the merged encoder and static…

Machine Learning · Computer Science 2026-02-03 Fanshuang Kong , Richong Zhang , Zhijie Nie , Hang Zhou , Ziqiao Wang , Qiang Sun , Chunming Hu

The Optimal Power Flow (OPF) problem is integral to the functioning of power systems, aiming to optimize generation dispatch while adhering to technical and operational constraints. These constraints are far from straightforward; they…

Machine Learning · Computer Science 2023-10-10 Andrew Rosemberg , Mathieu Tanneau , Bruno Fanzeres , Joaquim Garcia , Pascal Van Hentenryck

In the backdrop of an increasingly pressing need for effective urban and highway transportation systems, this work explores the synergy between model-based and learning-based strategies to enhance traffic flow management by use of an…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Filippo Airaldi , Bart De Schutter , Azita Dabiri

Enhancing the efficiency of high-quality image generation using Diffusion Models (DMs) is a significant challenge due to the iterative nature of the process. Flow Matching (FM) is emerging as a powerful generative modeling paradigm based on…

Computer Vision and Pattern Recognition · Computer Science 2025-05-28 Pascal Zwick , Nils Friederich , Maximilian Beichter , Lennart Hilbert , Ralf Mikut , Oliver Bringmann