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This paper addresses identification of sparse linear and noise-driven continuous-time state-space systems, i.e., the right-hand sides in the dynamical equations depend only on a subset of the states. The key assumption in this study, is…

Systems and Control · Computer Science 2018-04-18 Zuogong Yue , Johan Thunberg , Lennart Ljung , Jorge Goncalves

The goal of ordinal embedding is to represent items as points in a low-dimensional Euclidean space given a set of constraints in the form of distance comparisons like "item $i$ is closer to item $j$ than item $k$". Ordinal constraints like…

Machine Learning · Statistics 2016-06-24 Lalit Jain , Kevin Jamieson , Robert Nowak

In this paper, we propose a new greedy algorithm for sparse approximation, called SLS for Single L_1 Selection. SLS essentially consists of a greedy forward strategy, where the selection rule of a new component at each iteration is based on…

Optimization and Control · Mathematics 2021-02-12 Ramzi Ben Mhenni , Sébastien Bourguignon , Jérôme Idier

Structured pruning is an effective approach for compressing large pre-trained neural networks without significantly affecting their performance. However, most current structured pruning methods do not provide any performance guarantees, and…

Machine Learning · Computer Science 2023-02-14 Marwa El Halabi , Suraj Srinivas , Simon Lacoste-Julien

Compressed sensing aims at reconstructing sparse signals from significantly reduced number of samples, and a popular reconstruction approach is $\ell_1$-norm minimization. In this correspondence, a method called orthonormal expansion is…

Information Theory · Computer Science 2015-05-30 Zai Yang , Cishen Zhang , Jun Deng , Wenmiao Lu

Subset selection is a popular topic in recent years and a number of subset selection methods have been proposed. Among those methods, hypervolume subset selection is widely used. Greedy hypervolume subset selection algorithms can achieve…

Neural and Evolutionary Computing · Computer Science 2020-07-07 Weiyu Chen , Hisao Ishibuhci , Ke Shang

A key problem in sensor networks is to decide which sensors to query when, in order to obtain the most useful information (e.g., for performing accurate prediction), subject to constraints (e.g., on power and bandwidth). In many…

Machine Learning · Computer Science 2010-05-14 Daniel Golovin , Matthew Faulkner , Andreas Krause

Compressed sensing is an important problem in many fields of science and engineering. It reconstructs signals by finding sparse solutions to underdetermined linear equations. In this work we propose a deterministic and non-parametric…

Signal Processing · Electrical Eng. & Systems 2017-12-19 Mutian Shen , Pan Zhang , Hai-Jun Zhou

In a multiple measurement vector problem (MMV), where multiple signals share a common sparse support and are sampled by a common sensing matrix, we can expect joint sparsity to enable a further reduction in the number of required…

Information Theory · Computer Science 2015-06-03 Jong Min Kim , Ok Kyun Lee , Jong Chul Ye

Compressed sensing (CS) is a technique which uses fewer measurements than dictated by the Nyquist sampling theorem. The traditional CS with linear measurements achieves efficient recovery performances, but it suffers from the large bit…

Signal Processing · Electrical Eng. & Systems 2024-10-30 Ching-Lun Tai , Sung-Hsien Hsieh , Chun-Shien Lu

We study the problem of sampling a bandlimited graph signal in the presence of noise, where the objective is to select a node subset of prescribed cardinality that minimizes the signal reconstruction mean squared error (MSE). To that end,…

Machine Learning · Statistics 2017-11-02 Abolfazl Hashemi , Rasoul Shafipour , Haris Vikalo , Gonzalo Mateos

In the context of distributed estimation, we consider the problem of sensor collaboration, which refers to the act of sharing measurements with neighboring sensors prior to transmission to a fusion center. While incorporating the cost of…

Methodology · Statistics 2015-06-22 Sijia Liu , Swarnendu Kar , Makan Fardad , Pramod K. Varshney

A key aspect for any greedy pursuit algorithm used in compressed sensing is a good support-set detection method. For distributed compressed sensing, we consider a setup where many sensors measure sparse signals that are correlated via the…

Information Theory · Computer Science 2014-07-18 Dennis Sundman , Saikat Chatterjee , Mikael Skoglund

This paper considers a set of sensors, which as a group are tasked with taking measurements of the environment and sending a small subset of the measurements to a centralized data fusion center, where the measurements will be used to…

Multiagent Systems · Computer Science 2022-07-11 David Grimsman , Matthew R. Kirchner , João P. Hespanha , Jason R. Marden

We study the following problem: Given a variable of interest, we would like to find a best linear predictor for it by choosing a subset of $k$ relevant variables obeying a matroid constraint. This problem is a natural generalization of…

Data Structures and Algorithms · Computer Science 2023-01-19 Theophile Thiery , Justin Ward

Kernel based regularized interpolation is a well known technique to approximate a continuous multivariate function using a set of scattered data points and the corresponding function evaluations, or data values. This method has some…

Numerical Analysis · Mathematics 2018-07-26 Gabriele Santin , Dominik Wittwar , Bernard Haasdonk

Many problems in signal processing and machine learning can be formalized as weak submodular optimization tasks. For such problems, a simple greedy algorithm (\textsc{Greedy}) is guaranteed to find a solution achieving the objective with a…

Discrete Mathematics · Computer Science 2021-11-24 Abolfazl Hashemi , Haris Vikalo , Gustavo de Veciana

The study of multiplicative noise models has a long history in control theory but is re-emerging in the context of complex networked systems and systems with learning-based control. We consider linear system identification with…

Systems and Control · Electrical Eng. & Systems 2020-07-06 Yu Xing , Ben Gravell , Xingkang He , Karl Henrik Johansson , Tyler Summers

In this paper we propose a modular nonlinear least squares filtering approach for systems composed of independent subsystems. The state and error covariance estimate of each subsystem is updated independently, even when a relative…

Robotics · Computer Science 2025-07-25 Behzad Zamani , Jochen Trumpf , Chris Manzie

We consider high-dimensional measurement errors with high-frequency data. Our objective is on recovering the high-dimensional cross-sectional covariance matrix of the random errors with optimality. In this problem, not all components of the…

Statistics Theory · Mathematics 2024-04-03 Jinyuan Chang , Qiao Hu , Cheng Liu , Cheng Yong Tang