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In this paper, we develop a new technique which we call representation theory of the real hyperrectangle, which describes how to compute the eigenvectors and eigenvalues of certain matrices arising from hyperrectangles. We show that these…

Computational Geometry · Computer Science 2021-08-06 Josh Alman , Timothy Chu , Gary Miller , Shyam Narayanan , Mark Sellke , Zhao Song

Modern technological advances have enabled an unprecedented amount of structured data with complex temporal dependence, urging the need for new methods to efficiently model and forecast high-dimensional tensor-valued time series. This paper…

Methodology · Statistics 2023-09-28 Di Wang , Yao Zheng , Guodong Li

We propose a novel sparse sliced inverse regression method based on random projections in a large $p$ small $n$ setting. Embedded in a generalized eigenvalue framework, the proposed approach finally reduces to parallel execution of…

Methodology · Statistics 2023-08-04 Jia Zhang , Runxiong Wu , Xin Chen

Extraction of local feature descriptors is a vital stage in the solution pipelines for numerous computer vision tasks. Learning-based approaches improve performance in certain tasks, but still cannot replace handcrafted features in general.…

Computer Vision and Pattern Recognition · Computer Science 2018-04-19 Kun He , Yan Lu , Stan Sclaroff

This paper lies in the intersection of several fields: number theory, lattice theory, multilinear algebra, and scientific computing. We adapt existing solution algorithms for tensor eigenvalue problems to the tensor-train framework. As an…

Numerical Analysis · Mathematics 2017-10-05 Harri Hakula , Pauliina Ilmonen , Vesa Kaarnioja

Faithful yet compact explanations for vision models remain a challenge, as commonly used dense perturbation masks are often fragmented and overfitted, needing careful post-processing. Here, we present a training-free explanation method that…

Computer Vision and Pattern Recognition · Computer Science 2026-04-27 Reza Karimzadeh , Albert Alonso , Frans Zdyb , Julius B. Kirkegaard , Bulat Ibragimov

Pursuing efficient text shape representations helps scene text detection models focus on compact foreground regions and optimize the contour reconstruction steps to simplify the whole detection pipeline. Current approaches either represent…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Chuang Yang , Xu Han , Tao Han , Han Han , Bingxuan Zhao , Qi Wang

Autoencoders are techniques for data representation learning based on artificial neural networks. Differently to other feature learning methods which may be focused on finding specific transformations of the feature space, they can be…

Machine Learning · Computer Science 2020-05-12 David Charte , Francisco Charte , María J. del Jesus , Francisco Herrera

One of the main challenges for arbitrary-shaped text detection is to design a good text instance representation that allows networks to learn diverse text geometry variances. Most of existing methods model text instances in image spatial…

Computer Vision and Pattern Recognition · Computer Science 2021-04-23 Yiqin Zhu , Jianyong Chen , Lingyu Liang , Zhanghui Kuang , Lianwen Jin , Wayne Zhang

This paper describes a suite of algorithms for constructing low-rank approximations of an input matrix from a random linear image of the matrix, called a sketch. These methods can preserve structural properties of the input matrix, such as…

Numerical Analysis · Computer Science 2018-01-03 Joel A. Tropp , Alp Yurtsever , Madeleine Udell , Volkan Cevher

Isocontours in road networks represent the area that is reachable from a source within a given resource limit. We study the problem of computing accurate isocontours in realistic, large-scale networks. We propose polygons with minimum…

Data Structures and Algorithms · Computer Science 2016-02-05 Moritz Baum , Thomas Bläsius , Andreas Gemsa , Ignaz Rutter , Franziska Wegner

This paper proposes a novel Convolutional Neural Network model for contour data analysis (ContourCNN) and shape classification. A contour is a circular sequence of points representing a closed shape. For handling the cyclical property of…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Ahmad Droby , Jihad El-Sana

CUR matrix decomposition is a randomized algorithm that can efficiently compute the low rank approximation for a given rectangle matrix. One limitation with the existing CUR algorithms is that they require an access to the full matrix A for…

Machine Learning · Computer Science 2014-03-25 Rong Jin , Shenghuo Zhu

This paper, broadly speaking, covers the use of randomness in two main areas: low-rank approximation and kernel methods. Low-rank approximation is very important in numerical linear algebra. Many applications depend on matrix decomposition…

Numerical Analysis · Mathematics 2020-08-12 Rishi Advani , Madison Crim , Sean O'Hagan

While supervised object detection and segmentation methods achieve impressive accuracy, they generalize poorly to images whose appearance significantly differs from the data they have been trained on. To address this when annotating data is…

Computer Vision and Pattern Recognition · Computer Science 2020-11-12 Isinsu Katircioglu , Helge Rhodin , Victor Constantin , Jörg Spörri , Mathieu Salzmann , Pascal Fua

We study the problem of extracting text instance contour information from images and use it to assist scene text detection. We propose a novel and effective framework for this and experimentally demonstrate that: (1) A CNN that can be…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Dafang He , Xiao Yang , Daniel Kifer , C. Lee Giles

We comment on two randomized algorithms for constructing low-rank matrix decompositions. Both algorithms employ the Subsampled Randomized Hadamard Transform [14]. The first algorithm appeared recently in [9]; here, we provide a novel…

Data Structures and Algorithms · Computer Science 2012-04-04 Christos Boutsidis

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

Numerical Analysis · Mathematics 2016-06-07 Victor Y. Pan , Liang Zhao

In this paper, we propose a novel space-time geometric representation of human landmark configurations and derive tools for comparison and classification. We model the temporal evolution of landmarks as parametrized trajectories on the…

Computer Vision and Pattern Recognition · Computer Science 2018-07-03 Anis Kacem , Mohamed Daoudi , Boulbaba Ben Amor , Stefano Berretti , Juan Carlos Alvarez-Paiva

When an object detector is deployed in a novel setting it often experiences a drop in performance. This paper studies how an embodied agent can automatically fine-tune a pre-existing object detector while exploring and acquiring images in a…

Computer Vision and Pattern Recognition · Computer Science 2024-07-31 Gianluca Scarpellini , Stefano Rosa , Pietro Morerio , Lorenzo Natale , Alessio Del Bue
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