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Learning a smooth graph signal from partially observed data is a well-studied task in graph-based machine learning. We consider this task from the perspective of optimal recovery, a mathematical framework for learning a function from…

Machine Learning · Computer Science 2023-05-31 Simon Foucart , Chunyang Liao , Nate Veldt

In this article we study the problem of recovering the unknown solution of a linear ill-posed problem, via iterative regularization methods. We review the problem of projection-regularization from a statistical point of view. A basic…

Statistics Theory · Mathematics 2007-06-13 Ana K. Fermin , Carenne Ludena

Pluralistic image completion focuses on generating both visually realistic and diverse results for image completion. Prior methods enjoy the empirical successes of this task. However, their used constraints for pluralistic image completion…

Computer Vision and Pattern Recognition · Computer Science 2022-05-19 Xiaobo Xia , Wenhao Yang , Jie Ren , Yewen Li , Yibing Zhan , Bo Han , Tongliang Liu

Cosmological parameter estimation is traditionally performed in the Bayesian context. By adopting an "agnostic" statistical point of view, we show the interest of confronting the Bayesian results to a frequentist approach based on…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-12 S. Henrot-Versillé , O. Perdereau , S. Plaszczynski , B. Rouillé d'Orfeuil , M. Spinelli , M. Tristram

Piecewise constant image approximations of sequential number of segments or clusters of disconnected pixels are treated. The method of majorizing of optimal approximation sequence by hierarchical sequence of image approximations is…

Computer Vision and Pattern Recognition · Computer Science 2013-10-02 M. Kharinov

Aligning partially overlapping point sets where there is no prior information about the value of the transformation is a challenging problem in computer vision. To achieve this goal, we first reduce the objective of the robust point…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Wei Lian , WangMeng Zuo , Lei Zhang

Informative path planning algorithms are of paramount importance in applications like disaster management to efficiently gather information through a priori unknown environments. This is, however, a complex problem that involves finding a…

Robotics · Computer Science 2023-08-24 Mobolaji O. Orisatoki , Mahdi Amouzadi , Arash M. Dizqah

Panorama creation is one of the most widely deployed techniques in computer vision. In addition to industry applications such as Google Street View, it is also used by millions of consumers in smartphones and other cameras. Traditionally,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Charles Herrmann , Chen Wang , Richard Strong Bowen , Emil Keyder , Michael Krainin , Ce Liu , Ramin Zabih

Linear perspectivecues deriving from regularities of the built environment can be used to recalibrate both intrinsic and extrinsic camera parameters online, but these estimates can be unreliable due to irregularities in the scene,…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Yiming Qian , James H. Elder

We derive an efficient stochastic algorithm for inverse problems that present an unknown linear forcing term and a set of nonlinear parameters to be recovered. It is assumed that the data is noisy and that the linear part of the problem is…

Numerical Analysis · Mathematics 2019-09-17 Darko Volkov

Consider a collection of m competing machine learning algorithms. Given their performance on a benchmark of datasets, we would like to identify the best performing algorithm. Specifically, which algorithm is most likely to ``win'' (rank…

Machine Learning · Computer Science 2026-01-06 Amichai Painsky

Probabilistic models are often trained by maximum likelihood, which corresponds to minimizing a specific f-divergence between the model and data distribution. In light of recent successes in training Generative Adversarial Networks,…

Machine Learning · Statistics 2024-12-17 Mingtian Zhang , Thomas Bird , Raza Habib , Tianlin Xu , David Barber

Learning with complete or partial supervision is powerful but relies on ever-growing human annotation efforts. As a way to mitigate this serious problem, as well as to serve specific applications, unsupervised learning has emerged as an…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Huy V. Vo , Francis Bach , Minsu Cho , Kai Han , Yann LeCun , Patrick Perez , Jean Ponce

360-degree panoramic videos have gained considerable attention in recent years due to the rapid development of head-mounted displays (HMDs) and panoramic cameras. One major problem in streaming panoramic videos is that panoramic videos are…

Computer Vision and Pattern Recognition · Computer Science 2022-12-21 Yuang Jiang , Konstantinos Poularakis , Diego Kiedanski , Sastry Kompella , Leandros Tassiulas

We derive a parallel sampling algorithm for computational inverse problems that present an unknown linear forcing term and a vector of nonlinear parameters to be recovered. It is assumed that the data is noisy and that the linear part of…

Numerical Analysis · Mathematics 2022-03-24 Darko Volkov

The goal of data selection is to capture the most structural information from a set of data. This paper presents a fast and accurate data selection method, in which the selected samples are optimized to span the subspace of all data. We…

Computer Vision and Pattern Recognition · Computer Science 2018-11-30 Mohsen Joneidi , Alireza Zaeemzadeh , Nazanin Rahnavard , Mubarak Shah

We study the problem of image alignment for panoramic stitching. Unlike most existing approaches that are feature-based, our algorithm works on pixels directly, and accounts for errors across the whole images globally. Technically, we…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Yuelong Li , Mohammad Tofighi , Vishal Monga

Recently, multiple formulations of vision problems as probabilistic inversions of generative models based on computer graphics have been proposed. However, applications to 3D perception from natural images have focused on low-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2014-07-08 Tejas D. Kulkarni , Vikash K. Mansinghka , Pushmeet Kohli , Joshua B. Tenenbaum

Generating high-quality 360{\deg} panoramic videos remains a significant challenge due to the fundamental differences between panoramic and traditional perspective-view projections. While perspective videos rely on a single viewpoint with a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Zeyu Dong , Yuyang Yin , Yuqi Li , Eric Li , Hao-Xiang Guo , Yikai Wang

We propose a mid-level image segmentation framework that combines multiple figure-ground hypothesis (FG) constrained at different locations and scales, into interpretations that tile the entire image. The problem is cast as optimization…

Computer Vision and Pattern Recognition · Computer Science 2010-09-27 Joao Carreira , Adrian Ion , Cristian Sminchisescu
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