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Finding an approximate second-order stationary point (SOSP) is a well-studied and fundamental problem in stochastic nonconvex optimization with many applications in machine learning. However, this problem is poorly understood in the…

Optimization and Control · Mathematics 2024-03-19 Shuyao Li , Yu Cheng , Ilias Diakonikolas , Jelena Diakonikolas , Rong Ge , Stephen J. Wright

This letter studies the performance of a low-earth orbit (LEO) satellite communication system where the locations of the LEO satellites are modeled as a binomial point process (BPP) on a spherical surface. In particular, we study the user…

Information Theory · Computer Science 2020-06-30 Anna Talgat , Mustafa A. Kishk , Mohamed-Slim Alouini

Most autonomous vehicles rely on accurate and efficient localization, which is achieved by comparing live sensor data to a preexisting map, to navigate their environment. Balancing the accuracy of localization with computational efficiency…

Robotics · Computer Science 2026-05-11 Katya M. Papais , Daniil Lisus , Cedric Le Gentil , David J. Yoon , Timothy D. Barfoot

This paper presents a novel method for estimating the direction of arrival (DOA) for a non-uniform and sparse linear sensor array using the weighted lifted structure low-rank matrix completion. The proposed method uses a single snapshot…

Signal Processing · Electrical Eng. & Systems 2025-07-29 Saeed Razavikia , Mohammad Bokaei , Arash Amini , Stefano Rini , Carlo Fischione

We consider the positioning problem in non line-of-sight (NLoS) situations, where several base stations (BS) try to locate a user equipment (UE) based on uplink angle of arrival (AoA) measurements and a digital twin of the environment. Ray…

Information Theory · Computer Science 2024-08-22 Vincent Corlay , Viet-Hoa Nguyen , Nicolas Gresset

The continuously increasing bandwidth and antenna aperture available in wireless networks laid the foundation for developing competitive positioning solutions relying on communications standards and hardware. However, poor propagation…

In recent years, the fifth-generation (5G) new radio (NR) signals have emerged as a promising supplementary resource for urban navigation. However, a major challenge in utilizing 5G signals lies in their vulnerability to non-line-of-sight…

Signal Processing · Electrical Eng. & Systems 2025-02-26 Sijia Li , Sergio Vicenzo , Bing Xu

This paper introduces a first-order method for solving optimal powered descent guidance (PDG) problems, that directly handles the nonconvex constraints associated with the maximum and minimum thrust bounds with varying mass and the pointing…

Optimization and Control · Mathematics 2024-04-02 Jiwoo Choi , Jong-Han Kim

LiDAR relocalization has attracted increasing attention as it can deliver accurate 6-DoF pose estimation in complex 3D environments. Recent learning-based regression methods offer efficient solutions by directly predicting global poses…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Jianshi Wu , Minghang Zhu , Dunqiang Liu , Wen Li , Sheng Ao , Siqi Shen , Chenglu Wen , Cheng Wang

Global Navigation Satellite System (GNSS) is pervasive in navigation and positioning applications, where precise position and time referencing estimations are required. Conventional methods for GNSS positioning involve a two-step process,…

Signal Processing · Electrical Eng. & Systems 2023-08-11 Haoqing Li , Shuo Tang , Peng Wu , Pau Closas

Many important geometric estimation problems take the form of synchronization over the special Euclidean group: estimate the values of a set of poses given a set of relative measurements between them. This problem is typically formulated as…

Robotics · Computer Science 2017-02-07 David M. Rosen , Luca Carlone , Afonso S. Bandeira , John J. Leonard

Low earth orbit (LEO) satellite has been considered as a potential supplement for the terrestrial Internet of Things (IoT). In this paper, we consider grant-free non-orthogonal random access (GF-NORA) in orthogonal frequency division…

Signal Processing · Electrical Eng. & Systems 2022-11-01 Yong Zuo , Mingyang Yue , Mingchen Zhang , Sixian Li , Shaojie Ni , Xiaojun Yuan

This paper proposes a robust, high-precision positioning methodology to address localization failures arising from complex background interference in large-scale flight navigation and the computational inefficiency inherent in conventional…

Robotics · Computer Science 2026-01-14 Jing Tao , Banglei Guan , Yang Shang , Shunkun Liang , Qifeng Yu

Several approaches exist to model gravitational lens systems. In this study, we apply global optimization methods to find the optimal set of lens parameters using a genetic algorithm. We treat the full optimization procedure as a two-step…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Adam Rogers , Jason D. Fiege

This paper studies the positioning problem based on two-way time-of-arrival (TW-TOA) measurements in asynchronous wireless sensor networks. Since the optimal estimator for this problem involves difficult nonconvex optimization, we propose…

Applications · Statistics 2014-07-23 Mohammad Reza Gholami , Sinan Gezici , Erik G. Ström

This work considers the problem of locating a single source from noisy range measurements to a set of nodes in a wireless sensor network. We propose two new techniques that we designate as Source Localization with Nuclear Norm (SLNN) and…

Optimization and Control · Mathematics 2011-11-30 Pınar Oğuz-Ekim , João Gomes , João Xavier , Marko Stošić , Paulo Oliveira

PET is affected by statistical noise due to constraints on tracer dose and scan duration, impacting both diagnostic performance and quantitative accuracy. While deep learning (DL)-based PET denoising methods have been used to improve image…

We investigate a multi-low Earth orbit (LEO) satellite system that simultaneously provides positioning and communication services to terrestrial user terminals. To address the challenges of accurately acquiring channel state information in…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Yuchen Zhang , Pinjun Zheng , Jie Ma , Henk Wymeersch , Tareq Y. Al-Naffouri

This paper presents an optimal calibration scheme and a weighted least squares (LS) localization algorithm for received signal strength (RSS) based visible light positioning (VLP) systems, focusing on the often overlooked impact of light…

Signal Processing · Electrical Eng. & Systems 2024-11-19 Fan Wu , Nobby Stevens , Lieven De Strycker , François Rottenberg

Due to their low cost and low power consumption, single-frequency GPS receivers are considered suitable for low-cost space applications such as small satellite missions. Recently, requirements have emerged for real-time accurate orbit…

Instrumentation and Methods for Astrophysics · Physics 2017-01-13 Pei Chen , Jian Zhang , Xiucong Sun