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The typical approach for recovery of spatially correlated signals is regularized least squares with a coupled regularization term. In the Bayesian framework, this algorithm is seen as a maximum-a-posterior estimator whose postulated prior…

Information Theory · Computer Science 2018-05-31 Ali Bereyhi , Saeid Haghighatshoar , Ralf R. Müller

We propose a method to optimally position a sensor system, which consists of multiple sensors, each has limited range and viewing angle, and they may fail with a certain failure rate. The goal is to find the optimal locations as well as the…

Optimization and Control · Mathematics 2016-04-20 Seong Jun Kim , Sung Ha Kang , Haomin Zhou

Locating source of diffusion in networks is crucial for controlling and preventing epidemic risks. It has been studied under various probabilistic models. In this paper, we study source location from a deterministic point of view by…

Discrete Mathematics · Computer Science 2014-04-21 Xujin Chen , Xiaodong Hu , Changjun Wang

Mutual localization is essential for coordination and cooperation in multi-robot systems. Previous works have tackled this problem by assuming available correspondences between measurements and received odometry estimations, which are…

Robotics · Computer Science 2022-03-18 Yingjian Wang , Xiangyong Wen , Longji Yin , Chao Xu , Yanjun Cao , Fei Gao

The distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of $n$ local cost functions by using local information exchange is considered. This problem is an important component of many machine…

Optimization and Control · Mathematics 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

This article develops a numerical approximation of a convex non-local and non-smooth minimization problem. The physical problem involves determining the optimal distribution, given by $h\colon \Gamma_I\to [0,+\infty)$, of a given amount…

Numerical Analysis · Mathematics 2025-05-08 Harbir Antil , Alex Kaltenbach , Keegan L. A. Kirk

This paper focuses on the optimal sensor placement problem for the identification of pipe failure locations in large-scale urban water systems. The problem involves selecting the minimum number of sensors such that every pipe failure can be…

Systems and Control · Computer Science 2016-03-23 Lina Sela Perelman , Waseem Abbas , Xenofon Koutsoukos , Saurabh Amin

In the recent years, there has been a huge advancement in wireless sensor computing technology. Today, wireless sensor network (WSN) has become a key technology for different types of smart environment. Nodes localization in WSN has arisen…

Networking and Internet Architecture · Computer Science 2016-06-24 Biljana Risteska Stojkoska

In this article we consider the problems of distributed detection and estimation in wireless sensor networks. In the first part, we provide a general framework aimed to show how an efficient design of a sensor network requires a joint…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-08 Sergio Barbarossa , Stefania Sardellitti , Paolo Di Lorenzo

State estimation and sensor selection problems for nonlinear networks and systems are ubiquitous problems that are important for the control, monitoring, analysis, and prediction of a large number of engineered and physical systems. Sensor…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Aleksandar Haber

Mutual localization provides a consensus of reference frame as an essential basis for cooperation in multirobot systems. Previous works have developed certifiable and robust solvers for relative transformation estimation between each pair…

Robotics · Computer Science 2022-10-18 Yingjian Wang , Xiangyong Wen , Yanjun Cao , Chao Xu , Fei Gao

This article studies two problems related to observability and efficient constrained sensor placement in linear time-invariant discrete-time systems with partial state observations. (i) We impose the condition that both the set of outputs…

Optimization and Control · Mathematics 2021-05-21 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

A central challenge to many fields of science and engineering involves minimizing non-convex error functions over continuous, high dimensional spaces. Gradient descent or quasi-Newton methods are almost ubiquitously used to perform such…

Machine Learning · Computer Science 2014-06-11 Yann Dauphin , Razvan Pascanu , Caglar Gulcehre , Kyunghyun Cho , Surya Ganguli , Yoshua Bengio

In this paper we consider a general problem set-up for a wide class of convex and robust distributed optimization problems in peer-to-peer networks. In this set-up convex constraint sets are distributed to the network processors who have to…

Systems and Control · Computer Science 2013-12-02 Mathias Bürger , Giuseppe Notarstefano , Frank Allgöwer

The vivid success of the emerging wireless sensor technology (WSN) gave rise to the notion of localization in the communications field. Indeed, the interest in localization grew further with the proliferation of the wireless sensor network…

Signal Processing · Electrical Eng. & Systems 2018-07-23 Hadeel Elayan , Raed Shubair

This paper studies 3-D distributed network localization using mixed types of local relative measurements. Each node holds a local coordinate frame without a common orientation and can only measure one type of information (relative position,…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Xu Fang , Xiaolei Li , Lihua Xie

We consider minimization problems with bisubmodular objective functions. We propose valid inequalities, namely the poly-bimatroid inequalities, and provide a complete linear description of the convex hull of the epigraph of a bisubmodular…

Optimization and Control · Mathematics 2020-09-30 Qimeng Yu , Simge Kucukyavuz

Robot localization is an inverse problem of finding a robot's pose using a map and sensor measurements. In recent years, Invertible Neural Networks (INNs) have successfully solved ambiguous inverse problems in various fields. This paper…

Robotics · Computer Science 2022-09-27 Zirui Zang , Hongrui Zheng , Johannes Betz , Rahul Mangharam

Real-world network applications must cope with failing nodes, malicious attacks, or nodes facing corrupted data - data classified as outliers. Our work addresses these concerns in the scope of the sensor network localization problem where,…

Optimization and Control · Mathematics 2021-10-05 Claudia Soares , João Gomes

This paper addresses the problem of selecting the minimum number of dedicated sensors to achieve observability in the presence of unknown inputs, namely, the state and input observability, for linear time-invariant systems. We assume that…

Systems and Control · Electrical Eng. & Systems 2024-08-20 Ranbo Cheng , Yuan Zhang , Amin MD Al , Yuanqing Xia
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