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Flow-based generative models, such as diffusion models and flow matching models, have achieved remarkable success in learning complex data distributions. However, a critical gap remains for their deployment in safety-critical domains: the…

Machine Learning · Computer Science 2026-03-02 Darshan Gadginmath , Ahmed Allibhoy , Fabio Pasqualetti

Motivated by the problem of pursuit-evasion, we present a motion planning framework that combines energy-based diffusion models with artificial potential fields for robust real time trajectory generation in complex environments. Our…

Robotics · Computer Science 2025-10-17 Wondmgezahu Teshome , Kian Behzad , Octavia Camps , Michael Everett , Milad Siami , Mario Sznaier

Generating high-quality time-series data is challenging because real-world signals often exhibit multimodal patterns and multiscale dynamics, including oscillations and high-frequency variations. Flow Matching (FM) offers an efficient…

Machine Learning · Computer Science 2026-05-29 Junru Zhang , Lang Feng , Jinbo Wang , Xu Guo , Yucheng Wang , Han Yu , Min Wu , Yabo Dong , Duanqing Xu

Reconstructing PDE solutions from sparse observations is a core challenge in scientific computing. We present FM4PDE, a flow-matching generative framework that learns the joint distribution of PDE coefficients (or initial states) and…

Machine Learning · Statistics 2026-05-26 Xifeng Zhang , Jin Zhao

A machine learning method to predict steady external fluid flows using elliptic input features is introduced. Using data from as few as one high-fidelity simulation, the proposed method produces models generalizable under changes to…

Generative planners based on flow matching (FM) produce high-quality paths in a single or a few ODE steps, but their sampling dynamics offer no formal safety guarantees and can yield incomplete paths near constraints. We present…

Robotics · Computer Science 2026-02-24 Jeongyong Yang , Seunghwan Jang , SooJean Han

High-fidelity modeling of turbulent flows requires capturing complex spatiotemporal dynamics and multi-scale intermittency, posing a fundamental challenge for traditional knowledge-based systems. While deep generative models, such as…

Machine Learning · Computer Science 2026-04-08 Li Kunpeng , Wan Chenguang , Qu Zhisong , Lim Kyungtak , Virginie Grandgirard , Xavier Garbet , Yu Hua , Ong Yew Soon

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

Recent advances in Deep Machine Learning have shown promise in solving complex perception and control loops via methods such as reinforcement and imitation learning. However, guaranteeing safety for such learned deep policies has been a…

Robotics · Computer Science 2020-03-03 Tom Hirshberg , Sai Vemprala , Ashish Kapoor

Behavior cloning methods for robot learning suffer from poor generalization due to limited data support beyond expert demonstrations. Recent approaches leveraging video prediction models have shown promising results by learning rich…

High-frequency trading (HFT) is an investing strategy that continuously monitors market states and places bid and ask orders at millisecond speeds. Traditional HFT approaches fit models with historical data and assume that future market…

Trading and Market Microstructure · Quantitative Finance 2025-05-23 Yang Li , Zhi Chen , Steve Yang

Current discriminative depth estimation methods often produce blurry artifacts, while generative approaches suffer from slow sampling due to curvatures in the noise-to-depth transport. Our method addresses these challenges by framing depth…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Ming Gui , Johannes Schusterbauer , Ulrich Prestel , Pingchuan Ma , Dmytro Kotovenko , Olga Grebenkova , Stefan Andreas Baumann , Vincent Tao Hu , Björn Ommer

Driving planning is a critical component of end-to-end (E2E) autonomous driving. However, prevailing Imitative E2E Planners often suffer from multimodal trajectory mode collapse, failing to produce diverse trajectory proposals. Meanwhile,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Lin Liu , Caiyan Jia , Guanyi Yu , Ziying Song , JunQiao Li , Feiyang Jia , Peiliang Wu , Xiaoshuai Hao , Yadan Luo

Flow matching casts sample generation as learning a continuous-time velocity field that transports noise to data. Existing flow matching networks typically predict each point's velocity independently, considering only its location and time…

Machine Learning · Computer Science 2025-11-11 Md Shahriar Rahim Siddiqui , Moshe Eliasof , Eldad Haber

Accurate emulation of multi-scale physical systems governed by PDEs demands models that remain stable over long autoregressive rollouts while preserving fine-scale structures. Deterministic emulators produce overly-smoothed predictions,…

Active learning is a subfield of machine learning that is devised for design and modeling of systems with highly expensive sampling costs. Industrial and engineering systems are generally subject to physics constraints that may induce fatal…

Machine Learning · Statistics 2023-04-19 Cheolhei Lee , Xing Wang , Jianguo Wu , Xiaowei Yue

Generative modeling has recently shown remarkable promise for visuomotor policy learning, enabling flexible and expressive control across diverse embodied AI tasks. However, existing generative policies often struggle with data…

Robotics · Computer Science 2025-12-16 Jianlei Chang , Ruofeng Mei , Wei Ke , Xiangyu Xu

Centralized trajectory optimization in the joint space of multiple robots allows access to a larger feasible space that can result in smoother trajectories, especially while planning in tight spaces. Unfortunately, it is often…

Robotics · Computer Science 2026-04-22 Simon Idoko , Prajyot Jadhav , Arun Kumar Singh

Energy-based models (EBMs) are a powerful class of probabilistic generative models due to their flexibility and interpretability. However, relationships between potential flows and explicit EBMs remain underexplored, while contrastive…

The increasing demand for deep learning in seismic interpretation has highlighted significant challenges, particularly the reliance on massive, labeled datasets and the inefficiency of training isolated models for individual tasks. To…

Geophysics · Physics 2026-04-15 Donglin Zhu , Peiyao Li , Ge Jin
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