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The dominant approach for learning local patch descriptors relies on small image regions whose scale must be properly estimated a priori by a keypoint detector. In other words, if two patches are not in correspondence, their descriptors…

Computer Vision and Pattern Recognition · Computer Science 2019-08-16 Patrick Ebel , Anastasiia Mishchuk , Kwang Moo Yi , Pascal Fua , Eduard Trulls

Disentangled and invariant representations are two critical goals of representation learning and many approaches have been proposed to achieve either one of them. However, those two goals are actually complementary to each other so that we…

Machine Learning · Computer Science 2022-09-16 Jiageng Zhu , Hanchen Xie , Wael Abd-Almageed

The two-stage object pose estimation paradigm first detects semantic keypoints on the image and then estimates the 6D pose by minimizing reprojection errors. Despite performing well on standard benchmarks, existing techniques offer no…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Heng Yang , Marco Pavone

Establishing reliable image correspondences is essential for many robotic vision problems. However, existing methods often struggle in challenging scenarios with large viewpoint changes or textureless regions, where incorrect cor-…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Sicheng Li , Zaiwang Gu , Jie Zhang , Qing Guo , Xudong Jiang , Jun Cheng

Learnable keypoint detectors and descriptors are beginning to outperform classical hand-crafted feature extraction methods. Recent studies on self-supervised learning of visual representations have driven the increasing performance of…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Henrique Siqueira , Patrick Ruhkamp , Ibrahim Halfaoui , Markus Karmann , Onay Urfalioglu

We propose a new algorithm to learn a dictionary for reconstructing and sparsely encoding signals from measurements without phase. Specifically, we consider the task of estimating a two-dimensional image from squared-magnitude measurements…

Optimization and Control · Mathematics 2016-11-23 Andreas M. Tillmann , Yonina C. Eldar , Julien Mairal

A new package for nonlinear least squares fitting is introduced in this paper. This package implements a recently developed algorithm that, for certain types of nonlinear curve fitting, reduces the number of nonlinear parameters to be…

Statistics Theory · Mathematics 2024-02-07 J. A. F. Torvisco , R. Benítez , M. R. Arias , J. Cabello Sánchez

We present a least squares method for estimating parameters from measurements of event yields in the presence of background and crossfeed. We adopt a unified approach to incorporating the statistical and systematic uncertainties on the…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Werner M. Sun

Unsupervised learning methods based on contrastive learning have drawn increasing attention and achieved promising results. Most of them aim to learn representations invariant to instance-level variations, which are provided by different…

Computer Vision and Pattern Recognition · Computer Science 2020-11-04 Feng Wang , Huaping Liu , Di Guo , Fuchun Sun

Perspective-n-Point-and-Line (P$n$PL) algorithms aim at fast, accurate, and robust camera localization with respect to a 3D model from 2D-3D feature correspondences, being a major part of modern robotic and AR/VR systems. Current…

Computer Vision and Pattern Recognition · Computer Science 2021-07-09 Alexander Vakhitov , Luis Ferraz Colomina , Antonio Agudo , Francesc Moreno-Noguer

In recent investigations, the problem of detecting edges given non-uniform Fourier data was reformulated as a sparse signal recovery problem with an l1-regularized least squares cost function. This result can also be derived by employing a…

Signal Processing · Electrical Eng. & Systems 2018-11-30 Victor Churchill , Anne Gelb

When data is collected in an adaptive manner, even simple methods like ordinary least squares can exhibit non-normal asymptotic behavior. As an undesirable consequence, hypothesis tests and confidence intervals based on asymptotic normality…

Statistics Theory · Mathematics 2023-03-23 Koulik Khamaru , Yash Deshpande , Tor Lattimore , Lester Mackey , Martin J. Wainwright

We address the problem of camera pose estimation in visual localization. Current regression-based methods for pose estimation are trained and evaluated scene-wise. They depend on the coordinate frame of the training dataset and show a low…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Boris Chidlovskii , Assem Sadek

Models that learn spurious correlations from training data often fail when deployed in new environments. While many methods aim to learn invariant representations to address this, they often underperform standard empirical risk minimization…

Machine Learning · Computer Science 2025-11-11 Ruqi Bai , Yao Ji , Zeyu Zhou , David I. Inouye

Current deep visual local feature detectors do not model the spatial uncertainty of detected features, producing suboptimal results in downstream applications. In this work, we propose two post-hoc covariance estimates that can be plugged…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Javier Tirado-Garín , Frederik Warburg , Javier Civera

In this expository note we show that the learning parities with noise (LPN) assumption is robust to weak dependencies in the noise distribution of small batches of samples. This provides a partial converse to the linearization technique of…

Cryptography and Security · Computer Science 2024-04-18 Noah Golowich , Ankur Moitra , Dhruv Rohatgi

In this paper we present a differential approach to photo-polarimetric shape estimation. We propose several alternative differential constraints based on polarisation and photometric shading information and show how to express them in a…

Computer Vision and Pattern Recognition · Computer Science 2017-08-28 Silvia Tozza , William A. P. Smith , Dizhong Zhu , Ravi Ramamoorthi , Edwin R. Hancock

Nonlinear regression analysis is a popular and important tool for scientists and engineers. In this article, we introduce theories and methods of nonlinear regression and its statistical inferences using the frequentist and Bayesian…

Methodology · Statistics 2024-02-09 Hsin-Hsiung Huang , Qing He

Misspecified models often provide useful information about the true data generating distribution. For example, if $y$ is a non-linear function of $x$ the least squares estimator $\hat{\beta}$ is an estimate of $\beta$, the slope of the best…

Methodology · Statistics 2017-05-17 James P. Long

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