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We consider the general class of time-homogeneous stochastic dynamical systems, both discrete and continuous, and study the problem of learning a representation of the state that faithfully captures its dynamics. This is instrumental to…

Machine Learning · Computer Science 2024-03-15 Vladimir R. Kostic , Pietro Novelli , Riccardo Grazzi , Karim Lounici , Massimiliano Pontil

Simulation-based inference provides a powerful framework for extracting rich information from nonlinear scales in current and upcoming cosmological surveys, and ensuring its robustness requires stringent validation of forward models. In…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-12 Kangning Diao , Biwei Dai , Uros Seljak

Ordinal regression predicts the objects' labels that exhibit a natural ordering, which is important to many managerial problems such as credit scoring and clinical diagnosis. In these problems, the ability to explain how the attributes…

Machine Learning · Computer Science 2019-11-15 Mengzhuo Guo , Zhongzhi Xu , Qingpeng Zhang , Xiuwu Liao , Jiapeng Liu

Inaccurate optical flow estimates in and near occluded regions, and out-of-boundary regions are two of the current significant limitations of optical flow estimation algorithms. Recent state-of-the-art optical flow estimation algorithms are…

Computer Vision and Pattern Recognition · Computer Science 2023-11-02 Fisseha Admasu Ferede , Madhusudhanan Balasubramanian

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

Controlling generative models is computationally expensive. This is because optimal alignment with a reward function--whether via inference-time steering or fine-tuning--requires estimating the value function. This task demands access to…

Machine Learning · Statistics 2026-01-22 Peter Potaptchik , Adhi Saravanan , Abbas Mammadov , Alvaro Prat , Michael S. Albergo , Yee Whye Teh

We introduce an ordinary differential equation (ODE) based deep generative method for learning conditional distributions, named Conditional F\"ollmer Flow. Starting from a standard Gaussian distribution, the proposed flow could approximate…

Machine Learning · Statistics 2025-10-14 Jinyuan Chang , Zhao Ding , Yuling Jiao , Ruoxuan Li , Jerry Zhijian Yang

Flow Matching (FM) has emerged as a powerful paradigm for continuous normalizing flows, yet standard FM implicitly performs an unweighted $L^2$ regression over the entire ambient space. In high dimensions, this leads to a fundamental…

Machine Learning · Statistics 2026-05-26 Shinto Eguchi

Optimal Power Flow (OPF) is a valuable tool for power system operators, but it is a difficult problem to solve for large systems. Machine Learning (ML) algorithms, especially Neural Networks-based (NN) optimization proxies, have emerged as…

Artificial Intelligence · Computer Science 2024-05-13 Rahul Nellikkath , Mathieu Tanneau , Pascal Van Hentenryck , Spyros Chatzivasileiadis

In the past decades, fuzzy logic has played an essential role in many research areas. Alongside, graph-based pattern recognition has shown to be of great importance due to its flexibility in partitioning the feature space using the…

Computer Vision and Pattern Recognition · Computer Science 2022-04-15 Renato W. R. de Souza , João V. C. de Oliveira , Leandro A. Passos , Weiping Ding , João P. Papa , Victor Hugo C. de Albuquerque

The optical flow of humans is well known to be useful for the analysis of human action. Recent optical flow methods focus on training deep networks to approach the problem. However, the training data used by them does not cover the domain…

Computer Vision and Pattern Recognition · Computer Science 2019-12-20 Anurag Ranjan , David T. Hoffmann , Dimitrios Tzionas , Siyu Tang , Javier Romero , Michael J. Black

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…

Flow Matching (FM) is an effective framework for training a model to learn a vector field that transports samples from a source distribution to a target distribution. To train the model, early FM methods use random couplings, which often…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Yexiong Lin , Yu Yao , Tongliang Liu

Prior flow matching methods in robotics have primarily learned velocity fields to morph one distribution of trajectories into another. In this work, we extend flow matching to capture second-order trajectory dynamics, incorporating…

Robotics · Computer Science 2025-03-11 Khang Nguyen , An T. Le , Tien Pham , Manfred Huber , Jan Peters , Minh Nhat Vu

We present DistillFlow, a knowledge distillation approach to learning optical flow. DistillFlow trains multiple teacher models and a student model, where challenging transformations are applied to the input of the student model to generate…

Computer Vision and Pattern Recognition · Computer Science 2021-06-09 Pengpeng Liu , Michael R. Lyu , Irwin King , Jia Xu

The thermal conductivity of organic liquids is a vital parameter influencing various industrial and environmental applications, including energy conversion, electronics cooling, and chemical processing. However, atomistic simulation of…

Deterministic flow models, such as rectified flows, offer a general framework for learning a deterministic transport map between two distributions, realized as the vector field for an ordinary differential equation (ODE). However, they are…

Machine Learning · Computer Science 2024-10-04 Saurabh Singh , Ian Fischer

Understanding temporal dynamics in medical imaging is crucial for applications such as disease progression modeling, treatment planning and anatomical development tracking. However, most deep learning methods either consider only single…

Computer Vision and Pattern Recognition · Computer Science 2025-09-01 Nico Albert Disch , Yannick Kirchhoff , Robin Peretzke , Maximilian Rokuss , Saikat Roy , Constantin Ulrich , David Zimmerer , Klaus Maier-Hein

Flow matching has emerged as a simulation-free alternative to diffusion-based generative modeling, producing samples by solving an ODE whose time-dependent velocity field is learned along an interpolation between a simple source…

Machine Learning · Statistics 2026-04-10 Shivam Kumar , Yixin Wang , Lizhen Lin

This paper addresses a new learning algorithm for the recently introduced co-sparse analysis model. First, we give new insights into the co-sparse analysis model by establishing connections to filter-based MRF models, such as the Field of…

Computer Vision and Pattern Recognition · Computer Science 2014-01-14 Yunjin Chen , René Ranftl , Thomas Pock
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