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Capacitated spatial clustering, a type of unsupervised machine learning method, is often used to tackle problems in compressing, classifying, logistic optimization and infrastructure optimization. Depending on the application at hand, a…

Recently, greedy algorithm has received much attention as a cost-effective means to reconstruct the sparse signals from compressed measurements. Much of previous work has focused on the investigation of a single candidate to identify the…

Information Theory · Computer Science 2014-09-22 Jaeseok Lee , Suhyuk Kwon , Jun Won Choi , Byonghyo Shim

This paper deals with the design of a sensing matrix along with a sparse recovery algorithm by utilizing the probability-based prior information for compressed sensing system. With the knowledge of the probability for each atom of the…

Machine Learning · Computer Science 2019-10-29 Q. Jiang , S. Li , Z. Zhu , H. Bai , X. He , R. C. de Lamare

Signal recovery is one of the key techniques of Compressive sensing (CS). It reconstructs the original signal from the linear sub-Nyquist measurements. Classical methods exploit the sparsity in one domain to formulate the L0 norm…

Information Theory · Computer Science 2012-06-05 Yipeng Liu , Ivan Gligorijevic , Vladimir Matic , Maarten De Vos , Sabine Van Huffel

We consider a discrete optimization formulation for learning sparse classifiers, where the outcome depends upon a linear combination of a small subset of features. Recent work has shown that mixed integer programming (MIP) can be used to…

Machine Learning · Statistics 2021-06-08 Antoine Dedieu , Hussein Hazimeh , Rahul Mazumder

Compressed Sensing (CS) is an effective approach to reduce the required number of samples for reconstructing a sparse signal in an a priori basis, but may suffer severely from the issue of basis mismatch. In this paper we study the problem…

Information Theory · Computer Science 2014-02-04 Yuejie Chi

Creating low dimensional representations of a high dimensional data set is an important component in many machine learning applications. How to cluster data using their low dimensional embedded space is still a challenging problem in…

Machine Learning · Computer Science 2023-03-27 Zahra Moslehi , Abdolreza Mirzaei , Mehran Safayani

When the scale of communication networks has been growing rapidly in the past decades, it becomes a critical challenge to extract fast and accurate estimation of key state parameters of network links, e.g., transmission delays and dropped…

Networking and Internet Architecture · Computer Science 2018-12-04 Hao-Ting Wei , Sung-Hsien Hsieh , Wen-Liang Hwang , Chung-Shou Liao , Chun-Shien Lu

In compressed sensing (CS), sparse signals can be reconstructed from significantly fewer samples than required by the Nyquist-Shannon sampling theorem. While non-sparse signals can be sparsely represented in appropriate transformation…

Information Theory · Computer Science 2026-03-13 Qi Qi , Abdelhamid Tayebi , Daizhan Cheng , Jun-e Feng

This paper introduces an efficient sparse recovery approach for Polynomial Chaos (PC) expansions, which promotes the sparsity by breaking the dimensionality of the problem. The proposed algorithm incrementally explores sub-dimensional…

Computation · Statistics 2017-04-05 Negin Alemazkoor , Hadi Meidani

Many algorithms have been developed to solve the inverse problem of coded aperture snapshot spectral imaging (CASSI), i.e., recovering the 3D hyperspectral images (HSIs) from a 2D compressive measurement. In recent years, learning-based…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Yuanhao Cai , Jing Lin , Xiaowan Hu , Haoqian Wang , Xin Yuan , Yulun Zhang , Radu Timofte , Luc Van Gool

We introduce an efficient implementation of sparse recovery methods for the problem of harmonic estimation with 2D sparse arrays using a single snapshot. By imposing a uniformity constraint on the harmonic grids of the subdictionaries used…

Signal Processing · Electrical Eng. & Systems 2025-09-18 Youval Klioui

We provide new recovery bounds for hierarchical compressed sensing (HCS) based on prior support information (PSI). A detailed PSI-enabled reconstruction model is formulated using various forms of PSI. The hierarchical block orthogonal…

Signal Processing · Electrical Eng. & Systems 2025-11-11 Liyang Lu , Haochen Wu , Wenbo Xu , Zhaocheng Wang , H. Vincent Poor

Intensively growing approach in signal processing and acquisition, the Compressive Sensing approach, allows sparse signals to be recovered from small number of randomly acquired signal coefficients. This paper analyses some of the commonly…

Signal Processing · Electrical Eng. & Systems 2018-02-21 Tamara Koljensic , Caslav Labudovic

Sparse optimization is a central problem in machine learning and computer vision. However, this problem is inherently NP-hard and thus difficult to solve in general. Combinatorial search methods find the global optimal solution but are…

Optimization and Control · Mathematics 2020-06-30 Ganzhao Yuan , Li Shen , Wei-Shi Zheng

New methods that exploit sparse structures arising in smart grid networks are proposed for the state estimation problem when data injection attacks are present. First, construction strategies for unobservable sparse data injection attacks…

Information Theory · Computer Science 2015-02-17 Mete Ozay , Inaki Esnaola , Fatos T. Yarman Vural , Sanjeev R. Kulkarni , H. Vincent Poor

Given full or partial information about a collection of points that lie close to a union of several subspaces, subspace clustering refers to the process of clustering the points according to their subspace and identifying the subspaces. One…

Machine Learning · Statistics 2018-01-16 Zachary Charles , Amin Jalali , Rebecca Willett

In this paper, we study the missing sample recovery problem using methods based on sparse approximation. In this regard, we investigate the algorithms used for solving the inverse problem associated with the restoration of missed samples of…

Machine Learning · Statistics 2017-06-29 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti

Clustering is an essential data mining tool for analyzing and grouping similar objects. In big data applications, however, many clustering algorithms are infeasible due to their high memory requirements and/or unfavorable runtime…

Data Structures and Algorithms · Computer Science 2026-01-27 Gregor Ulm , Simon Smith , Adrian Nilsson , Emil Gustavsson , Mats Jirstrand

Clustering is a fundamental task in data mining and machine learning, particularly for analyzing large-scale data. In this paper, we introduce Clust-Splitter, an efficient algorithm based on nonsmooth optimization, designed to solve the…

Machine Learning · Computer Science 2026-03-19 Jenni Lampainen , Kaisa Joki , Napsu Karmitsa , Marko M. Mäkelä