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We study Bayesian inverse problems with mixed noise, modeled as a combination of additive and multiplicative Gaussian components. While traditional inference methods often assume fixed or known noise characteristics, real-world…

Machine Learning · Computer Science 2025-10-17 Paul Hagemann , Robert Gruhlke , Bernhard Stankewitz , Claudia Schillings , Gabriele Steidl

Flow Matching has limited ability in achieving one-step generation due to its reliance on learned curved trajectories. Previous studies have attempted to address this limitation by either modifying the coupling distribution to prevent…

Machine Learning · Computer Science 2025-11-25 Chenrui Ma , Xi Xiao , Tianyang Wang , Xiao Wang , Yanning Shen

Flow models have rapidly become the go-to method for training and deploying large-scale generators, owing their success to inference-time flexibility via adjustable integration steps. A crucial ingredient in flow training is the choice of…

Deep learning models have emerged as a powerful tool for various medical applications. However, their success depends on large, high-quality datasets that are challenging to obtain due to privacy concerns and costly annotation. Generative…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Milad Yazdani , Yasamin Medghalchi , Pooria Ashrafian , Ilker Hacihaliloglu , Dena Shahriari

Flow matching has shown state-of-the-art performance in various generative tasks, ranging from image generation to decision-making, where generation under energy guidance (abbreviated as guidance in the following) is pivotal. However, the…

Machine Learning · Computer Science 2025-05-27 Ruiqi Feng , Chenglei Yu , Wenhao Deng , Peiyan Hu , Tailin Wu

Diffusion-based models have significant achievements in time series generation but suffer from inefficient computation: solving high-dimensional ODEs/SDEs via iterative numerical solvers demands hundreds to thousands of drift function…

Machine Learning · Computer Science 2025-02-11 Yang Hu , Xiao Wang , Zezhen Ding , Lirong Wu , Huatian Zhang , Stan Z. Li , Sheng Wang , Jiheng Zhang , Ziyun Li , Tianlong Chen

Gravitational lensing is one of the most powerful probes of dark matter, yet creating high-fidelity lensed images at scale remains a bottleneck. Existing tools rely on ray-tracing or forward-modeling pipelines that, while precise, are…

Instrumentation and Methods for Astrophysics · Physics 2025-11-17 Hamees Sayed , Pranath Reddy , Michael W. Toomey , Sergei Gleyzer

Achieving chemical accuracy in quantum simulations is often constrained by the measurement bottleneck: estimating operators requires a large number of shots, which remains costly even on fault-tolerant devices and is further exacerbated on…

Quantum Physics · Physics 2025-09-22 Isaac L. Huidobro-Meezs , Jun Dai , Rodrigo A. Vargas-Hernández

Diffusion models, which convert noise into new data instances by learning to reverse a Markov diffusion process, have become a cornerstone in contemporary generative modeling. While their practical power has now been widely recognized, the…

Machine Learning · Statistics 2024-03-08 Gen Li , Yuting Wei , Yuxin Chen , Yuejie Chi

Flow matching is a recent framework to train generative models that exhibits impressive empirical performance while being relatively easier to train compared with diffusion-based models. Despite its advantageous properties, prior methods…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Quan Dao , Hao Phung , Binh Nguyen , Anh Tran

Flow-based generative modeling is a powerful tool for solving inverse problems in physical sciences that can be used for sampling and likelihood evaluation with much lower inference times than traditional methods. We propose to refine flows…

Machine Learning · Computer Science 2024-10-31 Benjamin Holzschuh , Nils Thuerey

A common recipe to improve diffusion models at test-time so that samples score highly against a user-specified reward is to introduce the gradient of the reward into the dynamics of the diffusion itself. This procedure is often ill posed,…

Generative models can produce nonsensical text, unrealistic images, and unstable materials faster than simulation or human review can absorb; without per-sample confidence, trust erodes. Existing fixes run $k$ ensembles or stochastic…

Machine Learning · Statistics 2026-05-19 Friso de Kruiff , Dario Coscia , Max Welling , Erik Bekkers

We propose a new Neural Galerkin Normalizing Flow framework to approximate the transition probability density function of a diffusion process by solving the corresponding Fokker-Planck equation with an atomic initial distribution,…

Machine Learning · Computer Science 2026-03-20 Riccardo Saporiti , Fabio Nobile

We analyse how the sampling dynamics of distributions evolve in score-based diffusion models using cross-fluctuations, a centered-moment statistic from statistical physics. Specifically, we show that starting from an unbiased isotropic…

Machine Learning · Computer Science 2026-05-04 Sai Niranjan Ramachandran , Manish Krishan Lal , Suvrit Sra

Deep generative models provide state-of-the-art performance across a wide array of applications, with recent studies showing increasing applicability for science and engineering. Despite a growing corpus of literature focused on the…

Machine Learning · Computer Science 2026-05-14 Jacob K. Christopher , James E. Warner , Ferdinando Fioretto

Balancing policy expressiveness with the exploration-exploitation trade-off is a core challenge in online Reinforcement Learning (RL). While Stochastic Differential Equation (SDE)-based diffusion policies can represent complex, multimodal…

Machine Learning · Computer Science 2026-05-27 Ting Gao , Stavros Orfanoudakis , Nan Lin , Winnie Daamen , Serge Hoogendoorn , Elvin Isufi

Flow-matching models deliver state-of-the-art fidelity in image and video generation, but the inherent sequential denoising process renders them slower. Existing acceleration methods like distillation, trajectory truncation, and consistency…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Divya Jyoti Bajpai , Dhruv Bhardwaj , Soumya Roy , Tejas Duseja , Harsh Agarwal , Aashay Sandansing , Manjesh Kumar Hanawal

Generative models based on flow matching have demonstrated remarkable success in various domains, yet they suffer from a fundamental limitation: the lack of interpretability in their intermediate generation steps. In fact these models learn…

Machine Learning · Computer Science 2025-10-27 Francesco Pivi , Simone Gazza , Davide Evangelista , Roberto Amadini , Maurizio Gabbrielli

Flow-matching models provide a powerful framework for various applications, offering efficient sampling and flexible probability path modeling. These models are characterized by flows with low curvature in learned generative trajectories,…

Machine Learning · Computer Science 2025-01-22 Zibin Wang , Zhiyuan Ouyang , Xiangyun Zhang
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