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In this paper we present a novel approach to global localization using an RGB-D camera in maps of visual features. For large maps, the performance of pure image matching techniques decays in terms of robustness and computational cost.…

计算机视觉与模式识别 · 计算机科学 2015-02-03 Miguel Heredia , Felix Endres , Wolfram Burgard , Rafael Sanz

Robust low-rank matrix completion (RMC), or robust principal component analysis with partially observed data, has been studied extensively for computer vision, signal processing and machine learning applications. This problem aims to…

机器学习 · 计算机科学 2021-06-09 Minhui Huang , Shiqian Ma , Lifeng Lai

Robust principal component analysis (RPCA) can recover low-rank matrices when they are corrupted by sparse noises. In practice, many matrices are, however, of high-rank and hence cannot be recovered by RPCA. We propose a novel method called…

机器学习 · 计算机科学 2019-04-19 Jicong Fan , Tommy W. S. Chow

The best pair problem aims to find a pair of points that minimize the distance between two disjoint sets. In this paper, we formulate the classical robust principal component analysis (RPCA) as the best pair; which was not considered…

最优化与控制 · 数学 2020-12-02 Aritra Dutta , Filip Hanzely , Jingwei Liang , Peter Richtárik

Principal Component Analysis is a novel way of of dimensionality reduction. This problem essentially boils down to finding the top k eigen vectors of the data covariance matrix. A considerable amount of literature is found on algorithms…

机器学习 · 计算机科学 2019-01-08 Jian Vora

Robust principal component analysis (RPCA) has drawn significant attentions due to its powerful capability in recovering low-rank matrices as well as successful appplications in various real world problems. The current state-of-the-art…

机器学习 · 计算机科学 2019-04-17 Chong Peng , Chenglizhao Chen , Zhao Kang , Jianbo Li , Qiang Cheng

We present Neural-Guided RANSAC (NG-RANSAC), an extension to the classic RANSAC algorithm from robust optimization. NG-RANSAC uses prior information to improve model hypothesis search, increasing the chance of finding outlier-free minimal…

计算机视觉与模式识别 · 计算机科学 2019-08-01 Eric Brachmann , Carsten Rother

Principal Component Analysis (PCA) is known to be the most widely applied dimensionality reduction approach. A lot of improvements have been done on the traditional PCA, in order to obtain optimal results in the dimensionality reduction of…

计算机视觉与模式识别 · 计算机科学 2020-09-28 Chisom Ezinne Ogbuanya

We present a robust estimator for fitting multiple parametric models of the same form to noisy measurements. Applications include finding multiple vanishing points in man-made scenes, fitting planes to architectural imagery, or estimating…

计算机视觉与模式识别 · 计算机科学 2020-03-26 Florian Kluger , Eric Brachmann , Hanno Ackermann , Carsten Rother , Michael Ying Yang , Bodo Rosenhahn

The robust PCA of covariance matrices plays an essential role when isolating key explanatory features. The currently available methods for performing such a low-rank plus sparse decomposition are matrix specific, meaning, those algorithms…

机器学习 · 统计学 2023-06-07 Calypso Herrera , Florian Krach , Anastasis Kratsios , Pierre Ruyssen , Josef Teichmann

We study the robust principal component analysis (RPCA) problem in a distributed setting. The goal of RPCA is to find an underlying low-rank estimation for a raw data matrix when the data matrix is subject to the corruption of gross sparse…

分布式、并行与集群计算 · 计算机科学 2022-08-16 Wenda Chu

Principal component pursuit (PCP) is a state-of-the-art approach for background estimation problems. Due to their higher computational cost, PCP algorithms, such as robust principal component analysis (RPCA) and its variants, are not…

计算机视觉与模式识别 · 计算机科学 2017-07-04 Aritra Dutta , Xin Li , Peter Richtárik

The two-dimensional principal component analysis (2DPCA) has become one of the most powerful tools of artificial intelligent algorithms. In this paper, we review 2DPCA and its variations, and propose a general ridge regression model to…

计算机视觉与模式识别 · 计算机科学 2019-12-23 Meixiang Zhao , Zhigang Jia , Yunfeng Cai , Xiao Chen , Dunwei Gong

In computer vision most iterative optimization algorithms, both sparse and dense, rely on a coarse and reliable dense initialization to bootstrap their optimization procedure. For example, dense optical flow algorithms profit massively in…

计算机视觉与模式识别 · 计算机科学 2017-03-16 Matthias Ochs , Henry Bradler , Rudolf Mester

Tensor robust principal component analysis (RPCA), which seeks to separate a low-rank tensor from its sparse corruptions, has been crucial in data science and machine learning where tensor structures are becoming more prevalent. While…

机器学习 · 统计学 2022-12-23 Harry Dong , Megna Shah , Sean Donegan , Yuejie Chi

We present a real-time method for robust estimation of multiple instances of geometric models from noisy data. Geometric models such as vanishing points, planar homographies or fundamental matrices are essential for 3D scene analysis.…

计算机视觉与模式识别 · 计算机科学 2024-01-29 Florian Kluger , Bodo Rosenhahn

Density-based clustering algorithms are widely used for discovering clusters in pattern recognition and machine learning since they can deal with non-hyperspherical clusters and are robustness to handle outliers. However, the runtime of…

机器学习 · 计算机科学 2022-07-07 Difei Cheng , Ruihang Xu , Bo Zhang , Ruinan Jin

Principal Component Analysis (PCA) has been widely used for dimensionality reduction and feature extraction. Robust PCA (RPCA), under different robust distance metrics, such as l1-norm and l2, p-norm, can deal with noise or outliers to some…

机器学习 · 计算机科学 2021-06-29 Zhao Kang , Hongfei Liu , Jiangxin Li , Xiaofeng Zhu , Ling Tian

The CANDECOMP/PARAFAC (CP) tensor decomposition is a popular dimensionality-reduction method for multiway data. Dimensionality reduction is often sought after since many high-dimensional tensors have low intrinsic rank relative to the…

数值分析 · 计算机科学 2020-03-16 N. Benjamin Erichson , Krithika Manohar , Steven L. Brunton , J. Nathan Kutz

The goal of this paper is to revisit Kernel Principal Component Analysis (KPCA) through dualization of a difference of convex functions. This allows to naturally extend KPCA to multiple objective functions and leads to efficient…

机器学习 · 计算机科学 2023-06-12 Francesco Tonin , Alex Lambert , Panagiotis Patrinos , Johan A. K. Suykens