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Identifying a low-dimensional informed parameter subspace offers a viable path to alleviating the dimensionality challenge in the sampled-based solution to large-scale Bayesian inverse problems. This paper introduces a novel gradient-based…

Computation · Statistics 2023-03-07 Tiangang Cui , Olivier Zahm

Optical flow is inherently a 2D search problem, and thus the computational complexity grows quadratically with respect to the search window, making large displacements matching infeasible for high-resolution images. In this paper, we take…

Computer Vision and Pattern Recognition · Computer Science 2021-08-31 Haofei Xu , Jiaolong Yang , Jianfei Cai , Juyong Zhang , Xin Tong

How can we understand gradient-based training over non-convex landscapes? The edge of stability phenomenon, introduced in Cohen et al. (2021), indicates that the answer is not so simple: namely, gradient descent (GD) with large step sizes…

Machine Learning · Computer Science 2026-02-03 Eric Regis , Sinho Chewi

Likelihood-based deep generative models have been widely investigated for Image Anomaly Detection (IAD), particularly Normalizing Flows, yet their strict architectural invertibility needs often constrain scalability, particularly in…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Liangwei Li , Lin Liu , Hanzhe Liang , Juanxiu Liu , Jing Zhang , Ruqian Hao , Xiaohui Du , Yong Liu , Pan Li

We present a likelihood-free probabilistic inversion method based on normalizing flows for high-dimensional inverse problems. The proposed method is composed of two complementary networks: a summary network for data compression and an…

Machine Learning · Computer Science 2024-12-30 Jice Zeng , Yuanzhe Wang , Alexandre M. Tartakovsky , David Barajas-Solano

In this paper we present Poisson mixture approaches for origin-destination (OD) modeling in transportation analysis. We introduce covariate-based models which incorporate different transport modeling phases and also allow for direct…

Methodology · Statistics 2020-11-13 Konstantinos Perrakis , Dimitris Karlis , Mario Cools , Davy Janssens

Over the several recent years, there has been a boom in development of Flow Matching (FM) methods for generative modeling. One intriguing property pursued by the community is the ability to learn flows with straight trajectories which…

Machine Learning · Statistics 2024-11-11 Nikita Kornilov , Petr Mokrov , Alexander Gasnikov , Alexander Korotin

The FlowNet demonstrated that optical flow estimation can be cast as a learning problem. However, the state of the art with regard to the quality of the flow has still been defined by traditional methods. Particularly on small displacements…

Computer Vision and Pattern Recognition · Computer Science 2016-12-07 Eddy Ilg , Nikolaus Mayer , Tonmoy Saikia , Margret Keuper , Alexey Dosovitskiy , Thomas Brox

System-level decision making in transportation needs to understand day-to-day variation of network flows, which calls for accurate modeling and estimation of probabilistic dynamic travel demand on networks. Most existing studies estimate…

Systems and Control · Electrical Eng. & Systems 2022-04-21 Wei Ma , Sean Qian

Out-of-distribution (OOD) detection is a critical task for safe deployment of learning systems in the open world setting. In this work, we investigate the use of feature density estimation via normalizing flows for OOD detection and present…

Computer Vision and Pattern Recognition · Computer Science 2024-05-01 Evan D. Cook , Marc-Antoine Lavoie , Steven L. Waslander

We address the problem of static OD matrix estimation from a formal statistical viewpoint. We adopt a novel Bayesian framework to develop a class of models that explicitly cast trip configurations in the study region as random variables. As…

Applications · Statistics 2015-03-17 Luis Carvalho

Immersive virtual- and augmented-reality headsets can overlay a flat image against any surface or hang virtual objects in the space around the user. The technology is rapidly improving and may, in the long term, replace traditional flat…

Human-Computer Interaction · Computer Science 2019-08-07 Yalong Yang , Tim Dwyer , Bernhard Jenny , Kim Marriott , Maxime Cordeil , Haohui Chen

Optical flow estimation can be formulated as an end-to-end supervised learning problem, which yields estimates with a superior accuracy-runtime tradeoff compared to alternative methodology. In this paper, we make such networks estimate…

Computer Vision and Pattern Recognition · Computer Science 2018-12-21 Eddy Ilg , Özgün Çiçek , Silvio Galesso , Aaron Klein , Osama Makansi , Frank Hutter , Thomas Brox

A normalizing flow is an invertible mapping between an arbitrary probability distribution and a standard normal distribution; it can be used for density estimation and statistical inference. Computing the flow follows the change of…

Machine Learning · Computer Science 2021-12-10 Derek Onken , Samy Wu Fung , Xingjian Li , Lars Ruthotto

In the following article, we present a novel way to etimate the amounts of traffic on the Origin-Destination couples (OD couples). This new approach combines together a routing algorithm based on the principle of the shortest path and a…

Optimization and Control · Mathematics 2016-08-16 Hélène Le Cadre

Simulation-based inference provides a powerful framework for extracting rich information from nonlinear scales in current and upcoming cosmological surveys, and ensuring its robustness requires stringent validation of forward models. In…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-12 Kangning Diao , Biwei Dai , Uros Seljak

Estimating counterfactual distributions under interventions is central to treatment risk assessment and counterfactual generation tasks. Existing approaches model the counterfactual distribution as a standalone generative target, without…

Machine Learning · Statistics 2026-05-11 Hugh Dance , Johnny Xi , Peter Orbanz , Benjamin Bloem-Reddy

Solving large scale Optimal Transport (OT) in machine learning typically relies on sampling measures to obtain a tractable discrete problem. While the discrete solver's accuracy is controllable, the rate of convergence of the discretization…

Machine Learning · Statistics 2026-02-05 Ferdinand Genans , Olivier Wintenberger

We present a potent computational method for the solution of inverse problems in fluid mechanics. We consider inverse problems formulated in terms of a deterministic loss function that can accommodate data and regularization terms. We…

Computational Physics · Physics 2023-07-25 Petr Karnakov , Sergey Litvinov , Petros Koumoutsakos

We consider the statistical inverse problem of estimating a background flow field (e.g., of air or water) from the partial and noisy observation of a passive scalar (e.g., the concentration of a solute), a common experimental approach to…

Numerical Analysis · Mathematics 2019-06-12 Jeff Borggaard , Nathan E. Glatt-Holtz , Justin A. Krometis