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Sparsity learning with known grouping structure has received considerable attention due to wide modern applications in high-dimensional data analysis. Although advantages of using group information have been well-studied by shrinkage-based…

Machine Learning · Statistics 2018-09-28 Wei Qian , Wending Li , Yasuhiro Sogawa , Ryohei Fujimaki , Xitong Yang , Ji Liu

In this article, we present a family of numerical approaches to solve high-dimensional linear non-symmetric problems. The principle of these methods is to approximate a function which depends on a large number of variates by a sum of tensor…

Functional Analysis · Mathematics 2012-10-26 Eric Cances , Virginie Ehrlacher , Tony Lelievre

Compressive sensing (CS) is a data acquisition technique that measures sparse or compressible signals at a sampling rate lower than their Nyquist rate. Results show that sparse signals can be reconstructed using greedy algorithms, often…

Information Theory · Computer Science 2016-02-23 Jinye Zhang , Laming Chen , Petros T. Boufounos , Yuantao Gu

A flaw in the greedy approximation algorithm proposed by Zhang et al. for minimum connected set cover problem is corrected, and a stronger result on the approximation ratio of the modified greedy algorithm is established. The results are…

Data Structures and Algorithms · Computer Science 2015-03-19 Wei Ren , Qing Zhao

The greedy spanner is the highest quality geometric spanner (in e.g. edge count and weight, both in theory and practice) known to be computable in polynomial time. Unfortunately, all known algorithms for computing it take Omega(n^2) time,…

Computational Geometry · Computer Science 2014-07-01 Sander P. A. Alewijnse , Quirijn W. Bouts , Alex P. ten Brink , Kevin Buchin

Data valuation, especially quantifying data value in algorithmic prediction and decision-making, is a fundamental problem in data trading scenarios. The most widely used method is to define the data Shapley and approximate it by means of…

Machine Learning · Statistics 2023-05-23 Mengmeng Wu , Ruoxi Jia , Changle Lin , Wei Huang , Xiangyu Chang

Maximum weight matching is one of the most fundamental combinatorial optimization problems with a wide range of applications in data mining and bioinformatics. Developing distributed weighted matching algorithms is challenging due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-06 Sepehr Assadi , MohammadHossein Bateni , Vahab Mirrokni

In this article we propose a new variable selection method for analyzing data collected from longitudinal sample surveys. The procedure is based on the survey-weighted quadratic inference function, which was recently introduced as an…

Statistics Theory · Mathematics 2021-05-04 Laura Dumitrescu , Wei Qian , J. N. K. Rao

We demonstrate a simple greedy algorithm that can reliably recover a d-dimensional vector v from incomplete and inaccurate measurements x. Here our measurement matrix is an N by d matrix with N much smaller than d. Our algorithm,…

Numerical Analysis · Mathematics 2007-12-11 Deanna Needell , Roman Vershynin

We introduce the problem of maximizing approximately $k$-submodular functions subject to size constraints. In this problem, one seeks to select $k$-disjoint subsets of a ground set with bounded total size or individual sizes, and maximum…

Data Structures and Algorithms · Computer Science 2021-01-19 Leqian Zheng , Hau Chan , Grigorios Loukides , Minming Li

Utilizing the capabilities of configurable sensing systems requires addressing difficult information gathering problems. Near-optimal approaches exist for sensing systems without internal states. However, when it comes to optimizing the…

Systems and Control · Computer Science 2013-09-24 Nikolay Atanasov , Jerome Le Ny , Kostas Daniilidis , George J. Pappas

We explore the use of semantic word embeddings in text segmentation algorithms, including the C99 segmentation algorithm and new algorithms inspired by the distributed word vector representation. By developing a general framework for…

Computation and Language · Computer Science 2015-03-19 Alexander A Alemi , Paul Ginsparg

We study a pair of budget- and performance-constrained weak-submodular maximization problems. For computational efficiency, we explore the use of stochastic greedy algorithms which limit the search space via random sampling instead of the…

Optimization and Control · Mathematics 2026-03-06 Ege C. Kaya , Michael Hibbard , Takashi Tanaka , Ufuk Topcu , Abolfazl Hashemi

The cosparse analysis model has been introduced recently as an interesting alternative to the standard sparse synthesis approach. A prominent question brought up by this new construction is the analysis pursuit problem -- the need to find a…

Functional Analysis · Mathematics 2014-01-06 Raja Giryes , Sangnam Nam , Michael Elad , Rémi Gribonval , Mike E. Davies

The needs for improving observability of medium and low voltage distribution networks has been significantly increased, in recent year. In this paper, we focus on practical approaches for placement of affordable Measurement Devices (MDs),…

Optimization and Control · Mathematics 2020-07-31 Paola Paruta , Thomas Pidancier , Mokhtar Bozorg , Mauro Carpita

The reconstruction of sparse signals requires the solution of an $\ell_0$-norm minimization problem in Compressed Sensing. Previous research has focused on the investigation of a single candidate to identify the support (index of nonzero…

Information Theory · Computer Science 2017-01-12 Zhetao Li , Hongqing Zeng , Chengqing Li , Jun Fang

We extend some rate of convergence results of greedy quantization sequences already investigated in arXiv:1409.0732 [math.PR]. We show, for a more general class of distributions satisfying a certain control, that the quantization error of…

Probability · Mathematics 2020-04-01 Rancy El Nmeir , Harald Luschgy , Gilles Pagès

In this paper, we consider the problem of distributed parameter estimation in sensor networks. Each sensor makes successive observations of an unknown $d$-dimensional parameter, which might be subject to Gaussian random noises. The sensors…

Signal Processing · Electrical Eng. & Systems 2025-01-20 Jiaqi Yan , Hideaki Ishii

Sensor selection refers to the problem of intelligently selecting a small subset of a collection of available sensors to reduce the sensing cost while preserving signal acquisition performance. The majority of sensor selection algorithms…

Other Computer Science · Computer Science 2017-02-27 Amirali Aghazadeh , Mohammad Golbabaee , Andrew S. Lan , Richard G. Baraniuk

In cooperative localization, communicating mobile agents use inter-agent relative measurements to improve their dead-reckoning-based global localization. Measurement scheduling enables an agent to decide which subset of available…

Robotics · Computer Science 2021-12-07 Jianan Zhu , Solmaz S. Kia