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Modeling complex physical systems such as they arise in civil engineering applications requires finding a trade-off between physical fidelity and practicality. Consequently, deviations of simulation from measurements are ubiquitous even…

Computational Engineering, Finance, and Science · Computer Science 2026-03-18 Paolo Villani , Daniel Andrés Arcones , Jörg F. Unger , Martin Weiser

Compressive sensing is considered a huge breakthrough in signal acquisition. It allows recording an image consisting of $N^2$ pixels using much fewer than $N^2$ measurements if it can be transformed to a basis where most pixels take on…

Optics · Physics 2013-04-02 Marc Aßmann , Manfred Bayer

Compressive sensing is a technique to sample signals well below the Nyquist rate using linear measurement operators. In this paper we present an algorithm for signal reconstruction given such a set of measurements. This algorithm…

Information Theory · Computer Science 2009-06-08 Graeme Pope

Measurement samples are often taken in various monitoring applications. To reduce the sensing cost, it is desirable to achieve better sensing quality while using fewer samples. Compressive Sensing (CS) technique finds its role when the…

Information Theory · Computer Science 2016-11-18 Ying Li , Kun Xie , Xin Wang

We consider estimating the parameters of a Gaussian mixture density with a given number of components best representing a given set of weighted samples. We adopt a density interpretation of the samples by viewing them as a discrete Dirac…

Machine Learning · Statistics 2025-04-03 Daniel Frisch , Uwe D. Hanebeck

Compressed sensing typically deals with the estimation of a system input from its noise-corrupted linear measurements, where the number of measurements is smaller than the number of input components. The performance of the estimation…

Information Theory · Computer Science 2016-11-17 Jin Tan , Danielle Carmon , Dror Baron

Conventional compressive sensing (CS) reconstruction is very slow for its characteristic of solving an optimization problem. Convolu- tional neural network can realize fast processing while achieving compa- rable results. While CS image…

Computer Vision and Pattern Recognition · Computer Science 2017-10-04 Xuemei Xie , Yuxiang Wang , Guangming Shi , Chenye Wang , Jiang Du , Zhifu Zhao

This paper proposes a simple adaptive sensing and group testing algorithm for sparse signal recovery. The algorithm, termed Compressive Adaptive Sense and Search (CASS), is shown to be near-optimal in that it succeeds at the lowest possible…

Information Theory · Computer Science 2014-04-30 Matthew L. Malloy , Robert D. Nowak

We consider online change detection of high dimensional data streams with sparse changes, where only a subset of data streams can be observed at each sensing time point due to limited sensing capacities. On the one hand, the detection…

Machine Learning · Statistics 2020-09-23 Jie Guo , Hao Yan , Chen Zhang , Steven Hoi

In oversampled adaptive sensing (OAS), noisy measurements are collected in multiple subframes. The sensing basis in each subframe is adapted according to some posterior information exploited from previous measurements. The framework is…

Information Theory · Computer Science 2019-12-11 Ali Bereyhi , Ralf R. Müller

The traditional compressed sensing approach is naturally offline, in that it amounts to sparsely sampling and reconstructing a given dataset. Recently, an online algorithm for performing compressed sensing on streaming data was proposed:…

Optimization and Control · Mathematics 2016-05-10 Pantelis Sopasakis , Nikolaos Freris , Panagiotis Patrinos

The random demodulator is a recent compressive sensing architecture providing efficient sub-Nyquist sampling of sparse band-limited signals. The compressive sensing paradigm requires an accurate model of the analog front-end to enable…

Information Theory · Computer Science 2013-03-26 Pawel Jerzy Pankiewicz , Thomas Arildsen , Torben Larsen

We introduce a new analysis of an adaptive mixture method that combines outputs of two constituent filters running in parallel to model an unknown desired signal. This adaptive mixture is shown to achieve the mean square error (MSE)…

Systems and Control · Computer Science 2012-03-20 Mehmet A. Donmez , Sait Tunc , Suleyman S. Kozat

GNSS localization is an important part of today's autonomous systems, although it suffers from non-Gaussian errors caused by non-line-of-sight effects. Recent methods are able to mitigate these effects by including the corresponding…

Robotics · Computer Science 2020-03-20 Tim Pfeifer , Peter Protzel

Consensus is a popular technique for distributed state estimation. This formulation allows networks of connected agents or sensors to exchange information about the distribution of a set of targets with their immediate neighbors without the…

Systems and Control · Electrical Eng. & Systems 2025-06-03 Ishan Paranjape , Islam Hussein , Jeremy Murray-Krezan , Sean Phillips , Suman Chakravorty

Compressive Sensing, as an emerging technique in signal processing is reviewed in this paper together with its common applications. As an alternative to the traditional signal sampling, Compressive Sensing allows a new acquisition strategy…

Information Theory · Computer Science 2017-05-16 Andjela Draganic , Irena Orovic , Srdjan Stankovic

Gaussian process regression is a machine learning approach which has been shown its power for estimation of unknown functions. However, Gaussian processes suffer from high computational complexity, as in a basic form they scale cubically…

Machine Learning · Statistics 2018-09-10 Danil Kuzin , Le Yang , Olga Isupova , Lyudmila Mihaylova

In this paper, a cooperative spectrum sensing scheme based on compressive sensing is proposed. In this scheme, secondary users (SUs) are organized in clusters. In each cluster, SUs forward their compressed signals to the cluster head. Then,…

Information Theory · Computer Science 2019-12-12 Fatima Salahdine , Elias Ghribi , Naima Kaabouch

We analyze an online learning algorithm that adaptively combines outputs of two constituent algorithms (or the experts) running in parallel to model an unknown desired signal. This online learning algorithm is shown to achieve (and in some…

Machine Learning · Computer Science 2012-10-01 Mehmet A. Donmez , Sait Tunc , Suleyman S. Kozat

Finite mixture models are frequently used to uncover latent structures in high-dimensional datasets (e.g.\ identifying clusters of patients in electronic health records). The inference of such structures can be performed in a Bayesian…