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In this paper, a methodology is investigated for signal recovery in the presence of non-Gaussian noise. In contrast with regularized minimization approaches often adopted in the literature, in our algorithm the regularization parameter is…

Optimization and Control · Mathematics 2017-01-23 Yosra Marnissi , Yuling Zheng , Emilie Chouzenoux , Jean-Christophe Pesquet

Bayesian models quantify uncertainty and facilitate optimal decision-making in downstream applications. For most models, however, practitioners are forced to use approximate inference techniques that lead to sub-optimal decisions due to…

Machine Learning · Statistics 2019-09-12 Tomasz Kuśmierczyk , Joseph Sakaya , Arto Klami

Simulation-based inference has been popular for amortized Bayesian computation. It is typical to have more than one posterior approximation, from different inference algorithms, different architectures, or simply the randomness of…

Methodology · Statistics 2024-03-04 Yuling Yao , Bruno Régaldo-Saint Blancard , Justin Domke

The ability to estimate the 3D human shape and pose from images can be useful in many contexts. Recent approaches have explored using graph convolutional networks and achieved promising results. The fact that the 3D shape is represented by…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Xin Yu , Jeroen van Baar , Siheng Chen

Inverse problems are prevalent in numerous scientific and engineering disciplines, where the objective is to determine unknown parameters within a physical system using indirect measurements or observations. The inherent challenge lies in…

Computational Physics · Physics 2025-02-06 Georgios E. Pavlou , Vasiliki Pavlidou , Vagelis Harmandaris

This paper presents a thorough evaluation of several widely-used 3D correspondence grouping algorithms, motived by their significance in vision tasks relying on correct feature correspondences. A good correspondence grouping algorithm is…

Computer Vision and Pattern Recognition · Computer Science 2018-04-09 Jiaqi Yang , Ke Xian , Yang Xiao , Zhiguo Cao

Common imaging techniques for detecting structural defects typically require sampling at more than twice the spatial frequency to achieve a target resolution. This study introduces a novel framework for imaging structural defects using…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Wei-Chen Li , Chun-Yeon Lin

Approximate convex decomposition aims to decompose a 3D shape into a set of almost convex components, whose convex hulls can then be used to represent the input shape. It thus enables efficient geometry processing algorithms specifically…

Graphics · Computer Science 2022-05-09 Xinyue Wei , Minghua Liu , Zhan Ling , Hao Su

Likelihood-free Bayesian inference algorithms are popular methods for calibrating the parameters of complex, stochastic models, required when the likelihood of the observed data is intractable. These algorithms characteristically rely…

Computation · Statistics 2021-12-23 Thomas P Prescott , David J Warne , Ruth E Baker

Time harmonic inverse scattering using accurate forward models is often computationally expensive. On the other hand, the use of computationally efficient solvers, such as the Born approximation, may fail if the targets do not satisfy the…

Computational Physics · Physics 2019-07-05 Jari P. Kaipio , Tomi Huttunen , Teemu Luostari , Timo Lähivaara , Peter B. Monk

Bayesian inference usually requires running potentially costly inference procedures separately for every new observation. In contrast, the idea of amortized Bayesian inference is to initially invest computational cost in training an…

Machine Learning · Computer Science 2023-05-25 Manuel Glöckler , Michael Deistler , Jakob H. Macke

We consider the reconstruction of a two-dimensional discrete image from a set of tomographic measurements corresponding to the Radon projection. Assuming that the image has a structure where neighbouring pixels have a larger probability to…

Numerical Analysis · Computer Science 2013-04-04 Emmanuelle Gouillart , Florent Krzakala , Marc Mezard , Lenka Zdeborová

In this paper, we propose a method for computing partial functional correspondence between non-rigid shapes. We use perturbation analysis to show how removal of shape parts changes the Laplace-Beltrami eigenfunctions, and exploit it as a…

Computer Vision and Pattern Recognition · Computer Science 2015-12-23 Emanuele Rodolà , Luca Cosmo , Michael M. Bronstein , Andrea Torsello , Daniel Cremers

This paper studies 3D dense shape correspondence, a key shape analysis application in computer vision and graphics. We introduce a novel hybrid geometric deep learning-based model that learns geometrically meaningful and…

Computer Vision and Pattern Recognition · Computer Science 2022-11-14 Mohammad Farazi , Wenhui Zhu , Zhangsihao Yang , Yalin Wang

We propose a general method to carry out a valid Bayesian analysis of a finite-dimensional `targeted' parameter in the presence of a finite-dimensional nuisance parameter. We apply our methods to causal inference based on estimating…

Methodology · Statistics 2026-02-03 Magid Sabbagh , David A. Stephens

In this paper, we address the problem of building dense correspondences between human images under arbitrary camera viewpoints and body poses. Prior art either assumes small motion between frames or relies on local descriptors, which cannot…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Feitong Tan , Danhang Tang , Mingsong Dou , Kaiwen Guo , Rohit Pandey , Cem Keskin , Ruofei Du , Deqing Sun , Sofien Bouaziz , Sean Fanello , Ping Tan , Yinda Zhang

We propose a fast, accurate matching method for estimating dense pixel correspondences across scenes. It is a challenging problem to estimate dense pixel correspondences between images depicting different scenes or instances of the same…

Computer Vision and Pattern Recognition · Computer Science 2015-04-24 Chao Zhang , Chunhua Shen , Tingzhi Shen

We propose the combination of forward shape derivatives and the use of an iterative inversion scheme for Bayesian optimization to find optimal designs of nanophotonic devices. This approach widens the range of applicability of Bayesian…

Computational Physics · Physics 2021-01-12 Xavier Garcia-Santiago , Sven Burger , Carsten Rockstuhl , Philipp-Immanuel Schneider

Bayesian coresets have emerged as a promising approach for implementing scalable Bayesian inference. The Bayesian coreset problem involves selecting a (weighted) subset of the data samples, such that the posterior inference using the…

Machine Learning · Statistics 2021-03-01 Jacky Y. Zhang , Rajiv Khanna , Anastasios Kyrillidis , Oluwasanmi Koyejo

Recent advances in computer graphics and computer vision have found successful application of deep neural network models for 3D shapes based on signed distance functions (SDFs) that are useful for shape representation, retrieval, and…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Oladapo Afolabi , Allen Y. Yang , S. Shankar Sastry