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Low rank approximation of matrices has been well studied in literature. Singular value decomposition, QR decomposition with column pivoting, rank revealing QR factorization (RRQR), Interpolative decomposition etc are classical deterministic…

Numerical Analysis · Mathematics 2016-06-22 N. Kishore Kumar , Jan Shneider

Visual (re)localization addresses the problem of estimating the 6-DoF (Degree of Freedom) camera pose of a query image captured in a known scene, which is a key building block of many computer vision and robotics applications. Recent…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Siyan Dong , Shuzhe Wang , Yixin Zhuang , Juho Kannala , Marc Pollefeys , Baoquan Chen

Data can be visually represented using visual channels like position, length or luminance. An existing ranking of these visual channels is based on how accurately participants could report the ratio between two depicted values. There is an…

Human-Computer Interaction · Computer Science 2021-07-26 Caitlyn M. McColeman , Fumeng Yang , Steven Franconeri , Timothy F. Brady

In this paper, we propose an efficient and scalable low rank matrix completion algorithm. The key idea is to extend orthogonal matching pursuit method from the vector case to the matrix case. We further propose an economic version of our…

Machine Learning · Computer Science 2014-04-17 Zheng Wang , Ming-Jun Lai , Zhaosong Lu , Wei Fan , Hasan Davulcu , Jieping Ye

One-shot image classification aims to train image classifiers over the dataset with only one image per category. It is challenging for modern deep neural networks that typically require hundreds or thousands of images per class. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-05-05 Wanqi Xue , Wei Wang

Person re identification is a challenging retrieval task that requires matching a person's acquired image across non overlapping camera views. In this paper we propose an effective approach that incorporates both the fine and coarse pose…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 M. Saquib Sarfraz , Arne Schumann , Andreas Eberle , Rainer Stiefelhagen

Depth from Small Motion (DfSM) (Ha et al., 2016) is particularly interesting for commercial handheld devices because it allows the possibility to get depth information with minimal user effort and cooperation. Due to speed and memory issue…

Computer Vision and Pattern Recognition · Computer Science 2019-07-10 Peter O. Fasogbon

We consider the problem of relative pose regression in visual relocalization. Recently, several promising approaches have emerged in this area. We claim that even though they demonstrate on the same datasets using the same split to train…

Computer Vision and Pattern Recognition · Computer Science 2020-09-25 Amir Shalev , Omer Achrack , Brian Fulkerson , Ben-Zion Bobrovsky

Effective image classification hinges on discerning relevant features from both foreground and background elements, with the foreground typically holding the critical information. While humans adeptly classify images with limited exposure,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-08 Weihao Jiang , Haoyang Cui , Kun He

Suppose we are given a matrix that is formed by adding an unknown sparse matrix to an unknown low-rank matrix. Our goal is to decompose the given matrix into its sparse and low-rank components. Such a problem arises in a number of…

Optimization and Control · Mathematics 2011-08-09 Venkat Chandrasekaran , Sujay Sanghavi , Pablo A. Parrilo , Alan S. Willsky

Multiresolution Matrix Factorization (MMF) was recently introduced as an alternative to the dominant low-rank paradigm in order to capture structure in matrices at multiple different scales. Using ideas from multiresolution analysis (MRA),…

Numerical Analysis · Mathematics 2019-10-14 Pramod Kaushik Mudrakarta , Shubhendu Trivedi , Risi Kondor

Recovering sparse vectors and low-rank matrices from noisy linear measurements has been the focus of much recent research. Various reconstruction algorithms have been studied, including $\ell_1$ and nuclear norm minimization as well as…

Optimization and Control · Mathematics 2011-11-10 Samet Oymak , Karthik Mohan , Maryam Fazel , Babak Hassibi

Many real world datasets subsume a linear or non-linear low-rank structure in a very low-dimensional space. Unfortunately, one often has very little or no information about the geometry of the space, resulting in a highly under-determined…

Computer Vision and Pattern Recognition · Computer Science 2016-05-27 Nauman Shahid , Nathanael Perraudin , Pierre Vandergheynst

We propose a robust normal estimation method for both point clouds and meshes using a low rank matrix approximation algorithm. First, we compute a local feature descriptor for each point and find similar, non-local neighbors that we…

Graphics · Computer Science 2021-10-05 Xuequan Lu , Scott Schaefer , Jun Luo , Lizhuang Ma , Ying He

Conventional multi-view re-ranking methods usually perform asymmetrical matching between the region of interest (ROI) in the query image and the whole target image for similarity computation. Due to the inconsistency in the visual…

Computer Vision and Pattern Recognition · Computer Science 2018-08-15 Jun Li , Chang Xu , Wankou Yang , Changyin Sun , Dacheng Tao , Hong Zhang

In this paper, we study the general problem of optimizing a convex function $F(L)$ over the set of $p \times p$ matrices, subject to rank constraints on $L$. However, existing first-order methods for solving such problems either are too…

Machine Learning · Statistics 2017-12-12 Mohammadreza Soltani , Chinmay Hegde

Camera, and associated with its objects within the field of view, localization could benefit many computer vision fields, such as autonomous driving, robot navigation, and augmented reality (AR). In this survey, we first introduce specific…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Meng Xu , Youchen Wang , Bin Xu , Jun Zhang , Jian Ren , Stefan Poslad , Pengfei Xu

Interactive autonomous applications require robustness of the perception engine to artifacts in unconstrained videos. In this paper, we examine the effect of camera motion on the task of action detection. We develop a novel ranking method…

Computer Vision and Pattern Recognition · Computer Science 2022-05-03 Burhan A. Mudassar , Sho Ko , Maojingjing Li , Priyabrata Saha , Saibal Mukhopadhyay

We consider the problem of recovering low-rank matrices from random rank-one measurements, which spans numerous applications including covariance sketching, phase retrieval, quantum state tomography, and learning shallow polynomial neural…

Information Theory · Computer Science 2018-12-04 Yuanxin Li , Cong Ma , Yuxin Chen , Yuejie Chi

Planar markers are useful in robotics and computer vision for mapping and localisation. Given a detected marker in an image, a frequent task is to estimate the 6DOF pose of the marker relative to the camera, which is an instance of planar…

Computer Vision and Pattern Recognition · Computer Science 2019-09-27 Shin-Fang Ch'ng , Naoya Sogi , Pulak Purkait , Tat-Jun Chin , Kazuhiro Fukui
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