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Complex algebraic calculations can be performed by reconstructing analytic results from numerical evaluations over finite fields. We describe FiniteFlow, a framework for defining and executing numerical algorithms over finite fields and…

High Energy Physics - Phenomenology · Physics 2019-07-18 Tiziano Peraro

Generative learning generates high dimensional data based on low dimensional conditions, also called prompts. Therefore, generative learning algorithms are eligible for solving (Bayesian) inverse problems. In this article we compare a…

Machine Learning · Computer Science 2026-02-02 Patrick Krüger , Patrick Materne , Werner Krebs , Hanno Gottschalk

This paper considers a Leray regularization model of incompressible, non-isothermal fluid flows which uses nonlinear filtering based on indicator functions, and introduces an efficient numerical method for solving it. The proposed method…

Numerical Analysis · Mathematics 2020-08-04 Mine Akbas , Abigail Bowers

Analyzing unsteady fluid flows often requires access to the full distribution of possible temporal states, yet conventional PDE solvers are computationally prohibitive and learned time-stepping surrogates quickly accumulate error over long…

Computational Engineering, Finance, and Science · Computer Science 2026-04-14 Mario Lino , Nils Thuerey

The scaling of the exact solution of a hyperbolic balance law generates a family of scaled problems in which the source term does not depend on the current solution. These problems are used to construct a sequence of solutions whose…

Numerical Analysis · Mathematics 2020-07-21 Gino I. Montecinos

Recent work demonstrated that flow-based invertible neural networks are promising tools for solving ambiguous inverse problems. Following up on this, we investigate how ten invertible architectures and related models fare on two intuitive,…

Machine Learning · Computer Science 2021-06-23 Jakob Kruse , Lynton Ardizzone , Carsten Rother , Ullrich Köthe

Recent advances in Large Language Models (LLMs) have driven the adoption of copilots in complex technical scenarios, underscoring the growing need for specialized information retrieval solutions. In this paper, we introduce FLAIR, a…

Information Retrieval · Computer Science 2025-08-20 William Zhang , Yiwen Zhu , Yunlei Lu , Mathieu Demarne , Wenjing Wang , Kai Deng , Nutan Sahoo , Katherine Lin , Miso Cilimdzic , Subru Krishnan

We introduce a novel matching algorithm, called DeepMatching, to compute dense correspondences between images. DeepMatching relies on a hierarchical, multi-layer, correlational architecture designed for matching images and was inspired by…

Computer Vision and Pattern Recognition · Computer Science 2015-10-12 Jerome Revaud , Philippe Weinzaepfel , Zaid Harchaoui , Cordelia Schmid

We present a unified formulation and model for three motion and 3D perception tasks: optical flow, rectified stereo matching and unrectified stereo depth estimation from posed images. Unlike previous specialized architectures for each…

Computer Vision and Pattern Recognition · Computer Science 2023-07-27 Haofei Xu , Jing Zhang , Jianfei Cai , Hamid Rezatofighi , Fisher Yu , Dacheng Tao , Andreas Geiger

Diffusion models have emerged as the new state-of-the-art generative model with high quality samples, with intriguing properties such as mode coverage and high flexibility. They have also been shown to be effective inverse problem solvers,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Hyungjin Chung , Dohoon Ryu , Michael T. McCann , Marc L. Klasky , Jong Chul Ye

Gravity inversion is a commonly applied data analysis technique in the field of geophysics. While machine learning methods have previously been explored for the problem of gravity inversion, these are deterministic approaches returning a…

State-of-the-art scene flow algorithms pursue the conflicting targets of accuracy, run time, and robustness. With the successful concept of pixel-wise matching and sparse-to-dense interpolation, we push the limits of scene flow estimation.…

Computer Vision and Pattern Recognition · Computer Science 2019-10-30 René Schuster , Oliver Wasenmüller , Christian Unger , Georg Kuschk , Didier Stricker

Existing approaches to diffusion-based inverse problem solvers frame the signal recovery task as a probabilistic sampling episode, where the solution is drawn from the desired posterior distribution. This framework suffers from several…

Machine Learning · Computer Science 2024-12-24 Henry Li , Marcus Pereira

Network traffic analysis increasingly uses complex machine learning models as the internet consolidates and traffic gets more encrypted. However, over high-bandwidth networks, flows can easily arrive faster than model inference rates. The…

Networking and Internet Architecture · Computer Science 2024-10-25 Shinan Liu , Ted Shaowang , Gerry Wan , Jeewon Chae , Jonatas Marques , Sanjay Krishnan , Nick Feamster

We introduce AdvantageFlow, a forward-process reinforcement learning algorithm for rectified flow models. Unlike Flow-GRPO, which optimizes the reverse process, we optimize an advantage-weighted forward-process prediction loss. This…

Machine Learning · Computer Science 2026-05-26 Branislav Kveton , Anup Rao , Subhojyoti Mukherjee , Krishna Kumar Singh , Viet Dac Lai

Accurate autoregressive prediction of 3D turbulent flows remains challenging for neural PDE solvers, as small errors in fine-scale structures can accumulate rapidly over rollout. In this paper, we propose FlowRefiner, a flow matching-based…

Fluid Dynamics · Physics 2026-04-28 Yilong Dai , Yiming Sun , Yiheng Chen , Shengyu Chen , Xiaowei Jia , Runlong Yu

We propose and study a method called FLOT that estimates scene flow on point clouds. We start the design of FLOT by noticing that scene flow estimation on point clouds reduces to estimating a permutation matrix in a perfect world. Inspired…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Gilles Puy , Alexandre Boulch , Renaud Marlet

Morphing is a long-standing problem in vision and computer graphics, requiring a time-dependent warping for feature alignment and a blending for smooth interpolation. Recently, multilayer perceptrons (MLPs) have been explored as implicit…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Arthur Bizzi , Matias Grynberg , Vitor Matias , Daniel Perazzo , João Paulo Lima , Luiz Velho , Nuno Gonçalves , João Pereira , Guilherme Schardong , Tiago Novello

Deep learning-based image enhancement methods face a fundamental trade-off between computational efficiency and representational capacity. For example, although a conventional three-dimensional Look-Up Table (3D LUT) can process a degraded…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Liubing Hu , Chen Wu , Anrui Wang , Dianjie Lu , Guijuan Zhang , Zhuoran Zheng

Diffusion models have recently emerged as powerful generative priors for solving inverse problems. However, training diffusion models in the pixel space are both data-intensive and computationally demanding, which restricts their…

Computer Vision and Pattern Recognition · Computer Science 2024-04-17 Bowen Song , Soo Min Kwon , Zecheng Zhang , Xinyu Hu , Qing Qu , Liyue Shen
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