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We propose a distributed design method for decentralized control by exploiting the underlying sparsity properties of the problem. Our method is based on chordal decomposition of sparse block matrices and the alternating direction method of…

Optimization and Control · Mathematics 2020-08-07 Yang Zheng , Maryam Kamgarpour , Aivar Sootla , Antonis Papachristodoulou

The Computational Singular Perturbation (CSP) method of Lam and Goussis is an iterative method to reduce the dimensionality of systems of ordinary differential equations with multiple time scales. In [J. Nonlin. Sci., to appear], the…

Dynamical Systems · Mathematics 2016-09-07 Antonios Zagaris , Hans G. Kaper , Tasso J. Kaper

Recently, numerous learning-based compression methods have been developed with outstanding performance for the coding of the geometry information of point clouds. On the contrary, limited explorations have been devoted to point cloud…

Image and Video Processing · Electrical Eng. & Systems 2022-04-05 Jianqiang Wang , Zhan Ma

In this paper, we consider compressed sensing (CS) of block-sparse signals, i.e., sparse signals that have nonzero coefficients occurring in clusters. An efficient algorithm, called zero-point attracting projection (ZAP) algorithm, is…

Information Theory · Computer Science 2012-03-09 Jingbo Liu , Jian Jin , Yuantao Gu

Traditional patch-based sparse representation modeling of natural images usually suffer from two problems. First, it has to solve a large-scale optimization problem with high computational complexity in dictionary learning. Second, each…

Computer Vision and Pattern Recognition · Computer Science 2014-05-15 Jian Zhang , Debin Zhao , Wen Gao

In the large-scale image retrieval task, the two most important requirements are the discriminability of image representations and the efficiency in computation and storage of representations. Regarding the former requirement, Convolutional…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Thanh-Toan Do , Tuan Hoang , Dang-Khoa Le Tan , Huu Le , Tam V. Nguyen , Ngai-Man Cheung

Accurate land cover segmentation of spectral images is challenging and has drawn widespread attention in remote sensing due to its inherent complexity. Although significant efforts have been made for developing a variety of methods, most of…

Image and Video Processing · Electrical Eng. & Systems 2021-11-30 Carlos Hinojosa , Esteban Vera , Henry Arguello

Reducing the memory footprint of neural networks is a crucial prerequisite for deploying them in small and low-cost embedded devices. Network parameters can often be reduced significantly through pruning. We discuss how to best represent…

Data Structures and Algorithms · Computer Science 2021-11-25 Elias Trommer , Bernd Waschneck , Akash Kumar

Compressed Sensing (CS) is a novel technique for simultaneous signal sampling and compression based on the existence of a sparse representation of signal and a projected dictionary $PD$, where $P\in\mathbb{R}^{m\times d}$ is the projection…

Information Theory · Computer Science 2018-04-25 Canyi Lu , Huan Li , Zhouchen Lin

Compressive Sensing (CS) is a new paradigm for the efficient acquisition of signals that have sparse representation in a certain domain. Traditionally, CS has provided numerous methods for signal recovery over an orthonormal basis. However,…

Information Theory · Computer Science 2019-05-08 Jianchen Zhu , Shengjie Zhao , Qingjiang Shi , Gonzalo R. Arce

Segmentation partitions an image into different regions containing pixels with similar attributes. A standard non-contextual variant of Fuzzy C-means clustering algorithm (FCM), considering its simplicity is generally used in image…

Computer Vision and Pattern Recognition · Computer Science 2020-04-21 Narayana Reddy A , Ranjita Das

Tensor data often suffer from missing value problem due to the complex high-dimensional structure while acquiring them. To complete the missing information, lots of Low-Rank Tensor Completion (LRTC) methods have been proposed, most of which…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Zhebin Wu , Tianchi Liao , Chuan Chen , Cong Liu , Zibin Zheng , Xiongjun Zhang

Trajectory optimization methods provide an efficient and reliable means of computing feasible trajectories in nonconvex solution spaces. However, a well-known limitation of these algorithms is that they are inherently local in nature, and…

Optimization and Control · Mathematics 2025-11-19 Justin Ganiban , Natalia Pavlasek , Behcet Acikmese

This paper investigates the problem of sparse signal recovery in the presence of additive impulsive noise. The heavytailed impulsive noise is well modelled with stable distributions. Since there is no explicit formulation for the…

Signal Processing · Electrical Eng. & Systems 2018-04-13 Amirhossein Javaheri , Hadi Zayyani , Mario A. T. Figueiredo , Farrokh Marvasti

We consider the least-squares approximation of a matrix C in the set of doubly stochastic matrices with the same sparsity pattern as C. Our approach is based on applying the well-known Alternating Direction Method of Multipliers (ADMM) to a…

Optimization and Control · Mathematics 2019-10-14 Nikitas Rontsis , Paul J. Goulart

Sparse representation based classification (SRC) has been proved to be a simple, effective and robust solution to face recognition. As it gets popular, doubts on the necessity of enforcing sparsity starts coming up, and primary experimental…

Computer Vision and Pattern Recognition · Computer Science 2014-03-07 Yang Wu , Vansteenberge Jarich , Masayuki Mukunoki , Michihiko Minoh

Instead of directly utilizing an observed image including some outliers, noise or intensity inhomogeneity, the use of its ideal value (e.g. noise-free image) has a favorable impact on clustering. Hence, the accurate estimation of the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-12 Cong Wang , Witold Pedrycz , ZhiWu Li , MengChu Zhou , Jun Zhao

We propose new compressive parameter estimation algorithms that make use of polar interpolation to improve the estimator precision. Our work extends previous approaches involving polar interpolation for compressive parameter estimation in…

Information Theory · Computer Science 2016-11-17 Karsten Fyhn , Marco F. Duarte , Søren Holdt Jensen

We study and develop (stochastic) primal--dual block-coordinate descent methods for convex problems based on the method due to Chambolle and Pock. Our methods have known convergence rates for the iterates and the ergodic gap: $O(1/N^2)$ if…

Optimization and Control · Mathematics 2020-02-13 Tuomo Valkonen

The rapid development of 3D technology and computer vision applications have motivated a thrust of methodologies for depth acquisition and estimation. However, most existing hardware and software methods have limited performance due to poor…

Computer Vision and Pattern Recognition · Computer Science 2015-02-13 Lee-Kang Liu , Stanley H. Chan , Truong Q. Nguyen