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The problem of matrix sensing, or trace regression, is a problem wherein one wishes to estimate a low-rank matrix from linear measurements perturbed with noise. A number of existing works have studied both convex and nonconvex approaches to…

Statistics Theory · Mathematics 2025-06-26 Joshua Agterberg , René Vidal

We consider a registration-based approach for localizing sensor networks from range measurements. This is based on the assumption that one can find overlapping cliques spanning the network. That is, for each sensor, one can identify…

Optimization and Control · Mathematics 2017-11-10 Rajat Sanyal , Monika Jaiswal , Kunal Narayan Chaudhury

This paper addresses the problem of sound-source localization from time-delay estimates using arbitrarily-shaped non-coplanar microphone arrays. A novel geometric formulation is proposed, together with a thorough algebraic analysis and a…

Sound · Computer Science 2014-08-12 Xavier Alameda-Pineda , Radu Horaud

We propose an algorithm for the Wireless Sensor Network localization problem, which is based on the well-known algorithmic framework of Alternating Minimization. We start with a non-smooth and non-convex minimization, and transform it into…

Networking and Internet Architecture · Computer Science 2020-12-30 Eyal Gur , Shoham Sabach , Shimrit Shtern

The objective of this work is to quantify the reconstruction error in sparse inverse problems with measures and stochastic noise, motivated by optimal sensor placement. To be useful in this context, the error quantities must be explicit in…

Numerical Analysis · Mathematics 2024-04-19 Phuoc-Truong Huynh , Konstantin Pieper , Daniel Walter

Source localization in graphs involves identifying the origin of a phenomenon or event, such as an epidemic outbreak or a misinformation source, by leveraging structural graph properties. One key concept in this context is the metric…

Discrete Mathematics · Computer Science 2025-07-14 Paula Mürmann , Robin Jaccard , Maximilien Dreveton , Aryan Alavi Razavi Ravari , Patrick Thiran

We consider the localization problem of multiple wideband sources in a multi-path environment by coherently taking into account the attenuation characteristics and the time delays in the reception of the signal. Our proposed method leaves…

Networking and Internet Architecture · Computer Science 2015-05-27 Hamidreza Aghasi , Hamidreza Amindavar , Alireza Aghasi

This paper considers node localization in static sensor networks using range-only measurements. Similar to state- of-the-art algorithms, such as ECHO and DILOC, we rely on barycentric coordinates of the nodes to transform the non-convex…

Signal Processing · Electrical Eng. & Systems 2018-02-21 P. P. V. Tecchio , N. Atanasov , G. J. Pappas

Localizing a radiant source is a widespread problem to many scientific and technological research areas. E.g. localization based on range measurements stays at the core of technologies like radar, sonar and wireless sensors networks. In…

Algebraic Geometry · Mathematics 2017-04-26 Marco Compagnoni , Roberto Notari , Andrea Alessandro Ruggiu , Fabio Antonacci , Augusto Sarti

Consider the estimation of an unknown parameter vector in a linear measurement model. Centralized sensor selection consists in selecting a set of k_s sensor measurements, from a total number of m potential measurements. The performance of…

Information Theory · Computer Science 2012-08-07 Fabian Altenbach , Steven Corroy , Georg Böcherer , Rudolf Mathar

This paper studies the possibility of upper bounding the position error of an estimate for range based positioning algorithms in wireless sensor networks. In this study, we argue that in certain situations when the measured distances…

Information Theory · Computer Science 2015-03-20 Mohammad Reza Gholami , Erik G. Ström , Henk Wymeersch , Mats Rydström

In a sensor network with remote sensor devices, it is important to have a method that can accurately localize a sound event with a small amount of data transmitted from the sensors. In this paper, we propose a novel method for localization…

Sound · Computer Science 2013-03-01 Hong Jiang , Boyd Mathews , Paul Wilford

A practical challenge which arises in the operation of sensor networks is the presence of sensor faults, biases, or adversarial attacks, which can lead to significant errors incurring in the localization of the agents, thereby undermining…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Shiraz Khan , Inseok Hwang

In this paper, a cooperative localization algorithm is proposed that considers the existence of obstacles in mobilityassisted wireless sensor networks (WSNs). In this scheme, a mobile anchor (MA) node cooperates with static sensor nodes and…

Information Theory · Computer Science 2016-11-17 Hongyang Chen , Qingjiang Shi , Pei Huang , H. Vincent Poor , Kaoru Sezaki

We study a stealthy range-sensor placement problem where a set of range sensors are to be placed with respect to targets to effectively localize them while maintaining a degree of stealthiness from the targets. This is an open and…

Systems and Control · Electrical Eng. & Systems 2024-12-06 Mohammad Hussein Yoosefian Nooshabadi , Rifat Sipahi , Laurent Lessard

Range-only (RO) pose estimation involves determining a robot's pose over time by measuring the distance between multiple devices on the robot, known as tags, and devices installed in the environment, known as anchors. The nonconvex nature…

Robotics · Computer Science 2024-01-09 Abhishek Goudar , Frederike Dümbgen , Timothy D. Barfoot , Angela P. Schoellig

In this manuscript we consider the well-established problem of TDOA-based source localization and propose a comprehensive analysis of its solutions for arbitrary sensor measurements and placements. More specifically, we define the TDOA map…

Mathematical Physics · Physics 2014-02-13 Marco Compagnoni , Roberto Notari , Fabio Antonacci , Augusto Sarti

We consider signal source localization from range-difference measurements. First, we give some readily-checked conditions on measurement noises and sensor deployment to guarantee the asymptotic identifiability of the model and show the…

Signal Processing · Electrical Eng. & Systems 2023-09-26 Guangyang Zeng , Biqiang Mu , Ling Shi , Jiming Chen , Junfeng Wu

Locating a target is key in many applications, namely in high-stakes real-world scenarios, like detecting humans or obstacles in vehicular networks. In scenarios where precise statistics of the measurement noise are unavailable,…

Optimization and Control · Mathematics 2022-08-17 João Domingos , Cláudia Soares , João Xavier

Localization is a fundamental enabler technology for many applications, like vehicular networks, IoT, and even medicine. While Global Navigation Satellite Systems solutions offer great performance, they are unavailable in scenarios like…

Optimization and Control · Mathematics 2024-04-03 Filipa Valdeira , Cláudia Soares , João Gomes