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In this paper, we describe a low-rank matrix completion method based on matrix decomposition. An incomplete matrix is decomposed into submatrices which are filled with a proposed trimming step and then are recombined to form a low-rank…

Numerical Analysis · Mathematics 2010-06-29 Rick Ma , Samuel Cheng

In this paper, the Dempster-Shafer method is employed as the theoretical basis for creating data classification systems. Testing is carried out using three popular (multiple attribute) benchmark datasets that have two, three and four…

Machine Learning · Computer Science 2014-09-03 Qi Chen , Amanda Whitbrook , Uwe Aickelin , Chris Roadknight

This paper is about how to partition decision variables while decomposing a large-scale optimization problem for the best performance of distributed solution methods. Solving a large-scale optimization problem sequen- tially can be…

Optimization and Control · Mathematics 2017-10-26 Yuchen Zheng , Ilbin Lee , Nicoleta Serban

Inspired by the facts that retinal cells actually segregate the visual scene into different attributes (e.g., spatial details, temporal motion) for respective neuronal processing, we propose to first decompose the input video into…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Ming Lu , Tong Chen , Dandan Ding , Fengqing Zhu , Zhan Ma

In this era of big data, feature selection techniques, which have long been proven to simplify the model, makes the model more comprehensible, speed up the process of learning, have become more and more important. Among many developed…

Machine Learning · Statistics 2019-11-20 Thu Nguyen

Medical image data are usually imbalanced across different classes. One-class classification has attracted increasing attention to address the data imbalance problem by distinguishing the samples of the minority class from the majority…

Image and Video Processing · Electrical Eng. & Systems 2022-04-15 Long Gao , Chang Liu , Dooman Arefan , Ashok Panigrahy , Shandong Wu

Distributed algorithms and theories are called for in this era of big data. Under weaker local signal-to-noise ratios, we improve upon the celebrated one-round distributed principal component analysis (PCA) algorithm designed in the spirit…

Methodology · Statistics 2025-07-01 ZeYu Li , Xinsheng Zhang , Wang Zhou

Distributed statistical learning has become a popular technique for large-scale data analysis. Most existing work in this area focuses on dividing the observations, but we propose a new algorithm, DDAC-SpAM, which divides the features under…

Machine Learning · Computer Science 2023-07-11 Yifan He , Ruiyang Wu , Yong Zhou , Yang Feng

Compressed sensing (CS) theory assures us that we can accurately reconstruct magnetic resonance images using fewer k-space measurements than the Nyquist sampling rate requires. In traditional CS-MRI inversion methods, the fact that the…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Liyan Sun , Zhiwen Fan , Xinghao Ding , Congbo Cai , Yue Huang , John Paisley

Recent progress of deep image classification models has provided great potential to improve state-of-the-art performance in related computer vision tasks. However, the transition to semantic segmentation is hampered by strict memory…

Computer Vision and Pattern Recognition · Computer Science 2019-05-15 Ivan Krešo , Josip Krapac , Siniša Šegvić

This work is concerned with approximating matrix functions for banded matrices, hierarchically semiseparable matrices, and related structures. We develop a new divide-and-conquer method based on (rational) Krylov subspace methods for…

Numerical Analysis · Mathematics 2021-07-12 Alice Cortinovis , Daniel Kressner , Stefano Massei

Indoor image features extraction is a fundamental problem in multiple fields such as image processing, pattern recognition, robotics and so on. Nevertheless, most of the existing feature extraction methods, which extract features based on…

Computer Vision and Pattern Recognition · Computer Science 2020-01-23 Chiranjibi Sitaula , Yong Xiang , Yushu Zhang , Xuequan Lu , Sunil Aryal

Previous analysis of regularized functional linear regression in a reproducing kernel Hilbert space (RKHS) typically requires the target function to be contained in this kernel space. This paper studies the convergence performance of…

Machine Learning · Statistics 2024-02-20 Jiading Liu , Lei Shi

Treating class with a single center may hardly capture data distribution complexities. Using multiple sub-centers is an alternative way to address this problem. However, highly correlated sub-classes, the classifier's parameters grow…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Zhemin Zhang , Xun Gong

Recent region-based object detectors are usually built with separate classification and localization branches on top of shared feature extraction networks. In this paper, we analyze failure cases of state-of-the-art detectors and observe…

Computer Vision and Pattern Recognition · Computer Science 2018-07-17 Bowen Cheng , Yunchao Wei , Honghui Shi , Rogerio Feris , Jinjun Xiong , Thomas Huang

Selecting relevant features is an important and necessary step for intelligent machines to maximize their chances of success. However, intelligent machines generally have no enough computing resources when faced with huge volume of data.…

Machine Learning · Computer Science 2025-07-04 Hexiang Bai , Deyu Li , Jiye Liang , Yanhui Zhai

In computer science, divide and conquer (D&C) is an algorithm design paradigm based on multi-branched recursion. A D&C algorithm works by recursively and monotonically breaking down a problem into sub problems of the same (or a related)…

Computation and Language · Computer Science 2018-09-24 Diego Gabriel Krivochen

Retrieving images from large and varied repositories using visual contents has been one of major research items, but a challenging task in the image management community. In this paper we present an efficient approach for region-based image…

Computer Vision and Pattern Recognition · Computer Science 2010-06-24 S. Sadek , A. Al-Hamadi , B. Michaelis , U. Sayed

This paper establishes a global bias-correction divide-and-conquer (GBC-DC) rule for biased estimation under the case of memory constraint. In order to introduce the new estimation, a closed representation of the local estimators obtained…

Methodology · Statistics 2019-08-06 Lu Lin , Feng Li

Choosing which properties of the data to use as input to multivariate decision algorithms -- a.k.a. feature selection -- is an important step in solving any problem with machine learning. While there is a clear trend towards training…

High Energy Physics - Phenomenology · Physics 2022-12-02 Ranit Das , Gregor Kasieczka , David Shih