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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…

Regression on function spaces is typically limited to models with Gaussian process priors. We introduce the notion of universal functional regression, in which we aim to learn a prior distribution over non-Gaussian function spaces that…

Machine Learning · Computer Science 2024-11-28 Yaozhong Shi , Angela F. Gao , Zachary E. Ross , Kamyar Azizzadenesheli

We propose an approach to solving partial differential equations (PDEs) using a set of neural networks which we call Neural Basis Functions (NBF). This NBF framework is a novel variation of the POD DeepONet operator learning approach where…

Machine Learning · Computer Science 2022-08-04 David Witman , Alexander New , Hicham Alkendry , Honest Mrema

Mean flow (MeanFlow) enables efficient, high-fidelity image generation, yet its single-function evaluation (1-NFE) generation often cannot yield compelling results. We address this issue by introducing RMFlow, an efficient multimodal…

Machine Learning · Computer Science 2026-02-03 Yuhao Huang , Shih-Hsin Wang , Andrea L. Bertozzi , Bao Wang

Normalizing flow-based sampling methods have been successful in tackling computational challenges traditionally associated with simulating lattice quantum field theories. Further works have incorporated gauge and translational invariance of…

High Energy Physics - Lattice · Physics 2023-04-05 Dinesh P. R.

Normalizing flows are flexible, parameterized distributions that can be used to approximate expectations from intractable distributions via importance sampling. However, current flow-based approaches are limited on challenging targets where…

Machine Learning · Computer Science 2022-03-15 Laurence Illing Midgley , Vincent Stimper , Gregor N. C. Simm , José Miguel Hernández-Lobato

Diffusion models (DMs) are powerful generative models capable of producing high-fidelity images but are constrained by high computational costs due to iterative multi-step inference. While Neural Architecture Search (NAS) can optimize DMs,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Hongtao Huang , Xiaojun Chang , Lina Yao

Neural optical flow (NOF) offers improved accuracy and robustness over existing OF methods for particle image velocimetry (PIV). Unlike other OF techniques, which rely on discrete displacement fields, NOF parameterizes the physical velocity…

Fluid Dynamics · Physics 2026-03-31 Andrew I. Masker , Ke Zhou , Joseph P. Molnar , Samuel J. Grauer

We introduce a new regularization method for Artificial Neural Networks (ANNs) based on Kernel Flows (KFs). KFs were introduced as a method for kernel selection in regression/kriging based on the minimization of the loss of accuracy…

Machine Learning · Statistics 2021-08-25 Gene Ryan Yoo , Houman Owhadi

Graphical flows add further structure to normalizing flows by encoding non-trivial variable dependencies. Previous graphical flow models have focused primarily on a single flow direction: the normalizing direction for density estimation, or…

Machine Learning · Computer Science 2022-04-27 Jacobie Mouton , Steve Kroon

This paper proposes a general enhancement to the Normalizing Flows (NF) used in neural vocoding. As a case study, we improve expressive speech vocoding with a revamped Parallel Wavenet (PW). Specifically, we propose to extend the affine…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-17 Adam Gabryś , Yunlong Jiao , Viacheslav Klimkov , Daniel Korzekwa , Roberto Barra-Chicote

Classical neural network approximation results take the form: for every function $f$ and every error tolerance $\epsilon > 0$, one constructs a neural network whose architecture and weights depend on $\epsilon$. This paper introduces a…

Neural and Evolutionary Computing · Computer Science 2025-11-20 Clemens Hutter , Valentin Abadie , Helmut Bölcskei

We present a computational framework for efficient learning, sampling, and distribution of general Bayesian posterior distributions. The framework leverages a machine learning approach for the construction of normalizing flows for the…

Nuclear Theory · Physics 2023-10-10 Yukari Yamauchi , Landon Buskirk , Pablo Giuliani , Kyle Godbey

Flow-based generative models are an important class of exact inference models that admit efficient inference and sampling for image synthesis. Owing to the efficiency constraints on the design of the flow layers, e.g. split coupling flow…

Machine Learning · Computer Science 2020-04-09 Shweta Mahajan , Apratim Bhattacharyya , Mario Fritz , Bernt Schiele , Stefan Roth

We propose an approach for improving sequence modeling based on autoregressive normalizing flows. Each autoregressive transform, acting across time, serves as a moving frame of reference, removing temporal correlations, and simplifying the…

Machine Learning · Computer Science 2022-03-09 Joseph Marino , Lei Chen , Jiawei He , Stephan Mandt

Binary Neural Networks (BNNs) have gained extensive attention for their superior inferencing efficiency and compression ratio compared to traditional full-precision networks. However, due to the unique characteristics of BNNs, designing a…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Zhihao Lin , Yongtao Wang , Jinhe Zhang , Xiaojie Chu , Haibin Ling

An approximation model based on convolutional neural networks (CNNs) is proposed for flow field predictions. The CNN is used to predict the velocity and pressure field in unseen flow conditions and geometries given the pixelated shape of…

Fluid Dynamics · Physics 2019-06-14 Yaser Afshar , Saakaar Bhatnagar , Shaowu Pan , Karthik Duraisamy , Shailendra Kaushik

We present Neural Autoregressive Distribution Estimation (NADE) models, which are neural network architectures applied to the problem of unsupervised distribution and density estimation. They leverage the probability product rule and a…

Machine Learning · Computer Science 2016-05-30 Benigno Uria , Marc-Alexandre Côté , Karol Gregor , Iain Murray , Hugo Larochelle

Generative adversarial networks (GANs) and normalizing flows are both approaches to density estimation that use deep neural networks to transform samples from an uninformative prior distribution to an approximation of the data distribution.…

Machine Learning · Computer Science 2021-12-15 Tianci Liu , Jeffrey Regier

Deploying pretrained visual models in real-world environments often suffers from significant performance degradation due to the diversity of testing scenarios. Continuous adaptation of learning models on edge devices via unlabeled data…

Neural and Evolutionary Computing · Computer Science 2026-05-08 Jianming Lv , Chengjun Wang , Depin Liang , Qianli Ma , Wei Chen , Xueqi Cheng