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Despite the importance of sparsity signal models and the increasing prevalence of high-dimensional streaming data, there are relatively few algorithms for dynamic filtering of time-varying sparse signals. Of the existing algorithms, fewer…

Statistics Theory · Mathematics 2016-11-03 Adam Charles , Aurele Balavoine , Christopher Rozell

The optimal disturbance rejection control problem is considered for consensus tracking systems affected by external persistent disturbances and noise. Optimal estimated values of system states are obtained by recursive filtering for the…

Robotics · Computer Science 2012-05-09 Jian Yuan Wen-Xia Zhang , Zhou-Hai Zhou

In the context of track fitting problems by a Kalman filter, the appropriate functional forms of the elements of the random process noise matrix are derived for tracking through thick layers of dense materials and magnetic field. This work…

Instrumentation and Detectors · Physics 2016-07-21 Kolahal Bhattacharya , Sudeshna Banerjee , Naba K Mondal

The paper focuses on the problem of vision-based obstacle detection and tracking for unmanned aerial vehicle navigation. A real-time object localization and tracking strategy from monocular image sequences is developed by effectively…

Computer Vision and Pattern Recognition · Computer Science 2017-03-21 Yuanwei Wu , Yao Sui , Guanghui Wang

We consider the problem of remotely stabilizing a dynamical system. A sensor (encoder) co-located with the system communicates with a controller (decoder), whose goal is to stabilize the system, over a noisy communication channel with…

Information Theory · Computer Science 2025-08-07 Barron Han , Oron Sabag , Victoria Kostina , Babak Hassibi

Sparse subspace clustering (SSC) is an elegant approach for unsupervised segmentation if the data points of each cluster are located in linear subspaces. This model applies, for instance, in motion segmentation if some restrictions on the…

Machine Learning · Statistics 2018-02-12 Hanno Ackermann , Michael Ying Yang , Bodo Rosenhahn

A distributed sensor fusion architecture is preferred in a real target-tracking scenario as compared to a centralized scheme since it provides many practical advantages in terms of computation load, communication bandwidth, fault-tolerance,…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Nikhil Sharma , Ratnasingham Tharmarasa , Thiagalingam Kirubarajan

In this paper, we study the collaborative state fusion problem in a multi-agent environment, where mobile agents collaborate to track movable targets. Due to the limited sensing range and potential errors of on-board sensors, it is…

Machine Learning · Computer Science 2024-10-22 Tianlong Zhou , Jun Shang , Weixiong Rao

The ability for an autonomous agent or robot to track and identify potentially multiple objects in a dynamic environment is essential for many applications, such as automated surveillance, traffic monitoring, human-robot interaction, etc.…

Computer Vision and Pattern Recognition · Computer Science 2016-05-26 Aijun Bai

In the context of the compressed sensing problem, we propose a new ensemble of sparse random matrices which allow one (i) to acquire and compress a {\rho}0-sparse signal of length N in a time linear in N and (ii) to perfectly recover the…

Information Theory · Computer Science 2013-04-15 Maria Chiara Angelini , Federico Ricci-Tersenghi , Yoshiyuki Kabashima

We study the problem of distributed Kalman filtering for sensor networks in the presence of model uncertainty. More precisely, we assume that the actual state-space model belongs to a ball, in the Kullback-Leibler topology, about the…

Optimization and Control · Mathematics 2020-04-20 Mattia Zorzi

Compressed sensing has a wide range of applications that include error correction, imaging, radar and many more. Given a sparse signal in a high dimensional space, one wishes to reconstruct that signal accurately and efficiently from a…

Numerical Analysis · Mathematics 2009-05-28 Deanna Needell

Many practical sensing applications involve multiple sensors simultaneously acquiring measurements of a single object. Conversely, most existing sparse recovery guarantees in compressed sensing concern only single-sensor acquisition…

Information Theory · Computer Science 2023-08-31 Il Yong Chun , Ben Adcock

This paper considers the problem of estimating linear dynamic system models when the observations are corrupted by random disturbances with nonstandard distributions. The paper is particularly motivated by applications where sensor…

Methodology · Statistics 2018-07-09 Johan Dahlin , Adrian Wills , Brett Ninness

This paper proposes a comprehensive strategy for complex multi-target-multi-drone encirclement in an obstacle-rich and GPS-denied environment, motivated by practical scenarios such as pursuing vehicles or humans in urban canyons. The drones…

Robotics · Computer Science 2025-01-03 Fen Liu , Shenghai Yuan , Kun Cao , Wei Meng , Lihua Xie

We propose a Reinforcement Learning framework for sparse indirect control of large-scale multi-agent systems, where few controlled agents shape the collective behavior of many uncontrolled agents. The approach addresses this multi-scale…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Luigi Catello , Italo Napolitano , Davide Salzano , Mario di Bernardo

We consider the problem of designing optimal $M \times N$ ($M \leq N$) sensing matrices which minimize the maximum condition number of all the submatrices of $K$ columns. Such matrices minimize the worst-case estimation errors when only $K$…

Information Theory · Computer Science 2012-06-04 Hema Kumari Achanta , Soura Dasgupta , Weiyu Xu

We consider the problem of imaging sparse scenes from a few noisy data using an $l_1$-minimization approach. This problem can be cast as a linear system of the form $A \, \rho =b$, where $A$ is an $N\times K$ measurement matrix. We assume…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka

The linear inverse source and scattering problems are studied from the perspective of compressed sensing, in particular the idea that sufficient incoherence and sparsity guarantee uniqueness of the solution. By introducing the sensor as…

Data Analysis, Statistics and Probability · Physics 2009-05-19 Albert Fannjiang , Pengchong Yan , Thomas Strohmer

Complex systems are often described with competing models. Such divergence of interpretation on the system may stem from model fidelity, mathematical simplicity, and more generally, our limited knowledge of the underlying processes.…

Numerical Analysis · Mathematics 2017-07-21 Lun Yang , Akil Narayan , Peng Wang