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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

Wireless sensor networks are dynamically formed over the varying topologies. Wireless sensor networks can assist in conducting the rescue operations and can provide search in timely manner. Long time monitoring applications are environment…

Networking and Internet Architecture · Computer Science 2016-08-26 Anubha Parashar , Susheel Kumar , Vinay S Bhaskar , Rajni Chinia

We propose a localization algorithm for wireless sensor networks, which is simple in design, does not involve significant overhead and yet provides acceptable position estimates of sensor nodes. The algorithm uses settled nodes as beacon…

Networking and Internet Architecture · Computer Science 2016-12-30 Muhammad Farooq-i-Azam , Muhammad Naeem Ayyaz , Saleem Akhtar

We consider the sensor network localization problem, which is closely related to multidimensional scaling and Euclidean distance matrix completion. Given a ground truth configuration of $n$ points in $\mathbb{R}^\ell$, we observe a subset…

Optimization and Control · Mathematics 2026-03-16 Christopher Criscitiello , Andrew D. McRae , Quentin Rebjock , Nicolas Boumal

In this paper, we develop a \textcolor{black}{\emph{distributed}} algorithm to localize a network of robots moving arbitrarily in a bounded region. In the case of such mobile networks, the main challenge is that the robots may not be able…

Robotics · Computer Science 2017-03-21 Sam Safavi , Usman Khan

This paper surveys recent theoretical advances in convex optimization approaches for community detection. We introduce some important theoretical techniques and results for establishing the consistency of convex community detection under…

Statistics Theory · Mathematics 2018-10-02 Xiaodong Li , Yudong Chen , Jiaming Xu

In this paper, a 2-stage robust distributed algorithm is proposed for cooperative sensor network localization using time of arrival (TOA) data without identification of non-line of sight (NLOS) links. In the first stage, to overcome the…

Networking and Internet Architecture · Computer Science 2014-03-04 Siamak Yousefi , Xiao-Wen Chang , Benoit Champagne

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

Many neural network (NN) verification systems represent the network's input-output relation as a constraint program. Sound and complete, representations involve integer constraints, for simulating the activations. Recent works convexly…

Machine Learning · Computer Science 2026-04-22 Merkouris Papamichail , Konstantinos Varsos , Giorgos Flouris , João Marques-Silva

This paper considers the problem of optimally deploying omnidirectional sensors, with potentially limited sensing radius, in a network-like environment. This model provides a compact and effective description of complex environments as well…

Optimization and Control · Mathematics 2010-06-18 Luca Greco , Matteo Gaeta , Benedetto Piccoli

Sensor scheduling is a well studied problem in signal processing and control with numerous applications. Despite its successful history, most of the related literature assumes the knowledge of the underlying probabilistic model of the…

Systems and Control · Electrical Eng. & Systems 2019-12-06 Marcos M. Vasconcelos , Urbashi Mitra

We present a new approach for computing approximate global minimizers to a large class of non-local pairwise interaction problems defined over probability distributions. The approach predicts candidate global minimizers, with a recovery…

Numerical Analysis · Mathematics 2017-10-04 Mahdi Bandegi , David Shirokoff

We use convex relaxation techniques to produce lower bounds on the optimal value of subset selection problems and generate good approximate solutions. We then explicitly bound the quality of these relaxations by studying the approximation…

Optimization and Control · Mathematics 2010-06-21 Francis Bach , Selin Damla Ahipasaoglu , Alexandre d'Aspremont

When nodes in a mobile network use relative noisy measurements with respect to their neighbors to estimate their positions, the overall connectivity and geometry of the measurement network has a critical influence on the achievable…

Systems and Control · Computer Science 2018-01-16 Jerome Le Ny , Simon Chauvière

We propose a novel method to fit and segment multi-structural data via convex relaxation. Unlike greedy methods --which maximise the number of inliers-- this approach efficiently searches for a soft assignment of points to models by…

Computer Vision and Pattern Recognition · Computer Science 2017-06-07 Paul Amayo , Pedro Pinies , Lina M. Paz , Paul Newman

We improve the effectiveness of propagation- and linear-optimization-based neural network verification algorithms with a new tightened convex relaxation for ReLU neurons. Unlike previous single-neuron relaxations which focus only on the…

Machine Learning · Computer Science 2020-10-26 Christian Tjandraatmadja , Ross Anderson , Joey Huchette , Will Ma , Krunal Patel , Juan Pablo Vielma

We present DCOOL-NET, a scalable distributed in-network algorithm for sensor network localization based on noisy range measurements. DCOOL-NET operates by parallel, collaborative message passing between single-hop neighbor sensors, and…

Optimization and Control · Mathematics 2012-12-03 Claudia Soares , Joao Xavier , Joao Gomes

Many location-based services use Received Signal Strength (RSS) measurements due to their universal availability. In this paper, we study the association of a large number of low-cost Internet-of-Things (IoT) sensors and their possible…

Information Retrieval · Computer Science 2021-11-04 Yulong Wang , Shenghong Li , Wei Ni , David Abbott , Mark Johnson , Guangyu Pei , Mark Hedley

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

In sensor networks characterized by irregular layouts and poor connectivity, anisotropic properties can significantly reduce the accuracy of distance estimation between nodes, consequently impairing the localization precision of…

Signal Processing · Electrical Eng. & Systems 2024-11-15 Yong Jin , Junfang Leng , Lin Zhou , Yu Jiang , Qian Wei