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The sampling of probability distributions specified up to a normalization constant is an important problem in both machine learning and statistical mechanics. While classical stochastic sampling methods such as Markov Chain Monte Carlo…

Machine Learning · Statistics 2020-10-27 Hao Wu , Jonas Köhler , Frank Noé

Normalizing flow (NF) has gained popularity over traditional maximum likelihood based methods due to its strong capability to model complex data distributions. However, the standard approach, which maps the observed data to a normal…

Machine Learning · Computer Science 2022-11-22 Hanze Dong , Shizhe Diao , Weizhong Zhang , Tong Zhang

We study a normalizing flow in the latent space of a top-down generator model, in which the normalizing flow model plays the role of the informative prior model of the generator. We propose to jointly learn the latent space normalizing flow…

Machine Learning · Statistics 2023-01-24 Jianwen Xie , Yaxuan Zhu , Yifei Xu , Dingcheng Li , Ping Li

Normalizing flows have recently demonstrated promising results for low-level vision tasks. For image super-resolution (SR), it learns to predict diverse photo-realistic high-resolution (HR) images from the low-resolution (LR) image rather…

Image and Video Processing · Electrical Eng. & Systems 2021-08-29 Jingyun Liang , Andreas Lugmayr , Kai Zhang , Martin Danelljan , Luc Van Gool , Radu Timofte

Recently, a number of methods have emerged to detect galaxy clusters solely through their weak lensing signal. Using the recently-introduced wavelet multi-scale detection method, we focus here on the potential for the use of tomographic…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-12 L. Chappuis , S. Pires , G. W. Pratt , G. Leroy , A. Daurelle , C. Giocoli , C. Carbone

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,…

Current density modeling approaches suffer from at least one of the following shortcomings: expensive training, slow inference, approximate likelihood, mode collapse or architectural constraints like bijective mappings. We propose a simple…

Machine Learning · Computer Science 2025-10-01 Marcello Massimo Negri , Jonathan Aellen , Manuel Jahn , AmirEhsan Khorashadizadeh , Volker Roth

Reliable medical image classification requires accurate predictions and well-calibrated uncertainty estimates, especially in high-stakes clinical settings. This work presents MedSymmFlow, a generative-discriminative hybrid model built on…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Francisco Caetano , Lemar Abdi , Christiaan Viviers , Amaan Valiuddin , Fons van der Sommen

Flow-based generative models can face significant challenges when modeling scientific data with multiscale Fourier spectra, often producing large errors in fine-scale features. We address this problem within the framework of stochastic…

Machine Learning · Statistics 2025-09-04 Yifan Chen , Eric Vanden-Eijnden

Differentiable particle filters provide a flexible mechanism to adaptively train dynamic and measurement models by learning from observed data. However, most existing differentiable particle filters are within the bootstrap particle…

Artificial Intelligence · Computer Science 2021-11-11 Xiongjie Chen , Hao Wen , Yunpeng Li

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

We present a method of using classical wavelet based multiresolution analysis to separate scales in model and observations during data assimilation with the ensemble Kalman filter. In many applications, the underlying physics of a phenomena…

Optimization and Control · Mathematics 2015-11-09 Kyle S. Hickmann , Humberto C. Godinez

Normalizing flows (NFs) have become a prominent method for deep generative models that allow for an analytic probability density estimation and efficient synthesis. However, a flow-based network is considered to be inefficient in parameter…

Machine Learning · Computer Science 2020-10-26 Sang-gil Lee , Sungwon Kim , Sungroh Yoon

State-of-the-art galaxy formation simulations generate data within weeks or months. Their results consist of a random sub-sample of possible galaxies with a fixed number of stars. We propose a ML based method, GalacticFlow, that generalizes…

Astrophysics of Galaxies · Physics 2023-12-12 Luca Wolf , Tobias Buck

Normalizing flows are a class of deep generative models that provide a promising route to sample lattice field theories more efficiently than conventional Monte Carlo simulations. In this work we show that the theoretical framework of…

High Energy Physics - Lattice · Physics 2022-07-07 Michele Caselle , Elia Cellini , Alessandro Nada , Marco Panero

In this paper, we suggest a novel sampling method for Monte Carlo molecular simulations. In order to perform efficient sampling of molecular systems, it is advantageous to avoid extremely high energy configurations while also retaining the…

Computational Physics · Physics 2019-07-18 Katsuhiro Endo , Daisuke Yuhara , Kenji Yasuoka

Strong semantic representations improve the convergence and generation quality of diffusion and flow models. Existing approaches largely rely on external models, which require separate training, operate on misaligned objectives, and exhibit…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Hila Chefer , Patrick Esser , Dominik Lorenz , Dustin Podell , Vikash Raja , Vinh Tong , Antonio Torralba , Robin Rombach

In many applications, it is important to reconstruct a fluid flow field, or some other high-dimensional state, from limited measurements and limited data. In this work, we propose a shallow neural network-based learning methodology for such…

Allocating extra computation at inference time has recently improved sample quality in large language models and diffusion-based image generation. In parallel, Flow Matching (FM) has gained traction in language, vision, and scientific…

Machine Learning · Computer Science 2025-10-21 Adam Stecklov , Noah El Rimawi-Fine , Mathieu Blanchette

We study the consequences of mode-collapse of normalizing flows in the context of lattice field theory. Normalizing flows allow for independent sampling. For this reason, it is hoped that they can avoid the tunneling problem of local-update…

High Energy Physics - Lattice · Physics 2023-11-06 Kim A. Nicoli , Christopher J. Anders , Tobias Hartung , Karl Jansen , Pan Kessel , Shinichi Nakajima