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This paper studies a problem of controlling trajectories of a platoon of vehicles on a highway segment with connected and automated vehicles. This problem is complex because each vehicle trajectory is an infinite-dimensional object and…

Optimization and Control · Mathematics 2015-11-17 Fang Zhou , Xiaopeng Li , Jiaqi Ma

This paper concerns models and convergence principles for dealing with stochasticity in a wide range of algorithms arising in nonlinear analysis and optimization in Hilbert spaces. It proposes a flexible geometric framework within which…

Optimization and Control · Mathematics 2026-02-17 Patrick L. Combettes , Javier I. Madariaga

The intensity matching approach for tractable performance evaluation and optimization of cellular networks is introduced. It assumes that the base stations are modeled as points of a Poisson point process and leverages stochastic geometry…

Information Theory · Computer Science 2016-04-12 Marco Di Renzo , Wei Lu , Peng Guan

Autonomous driving relies on a variety of sensors, especially on radars, which have unique robustness under heavy rain/fog/snow and poor light conditions. With the rapid increase of the amount of radars used on modern vehicles, where most…

This paper presents a new approach for filter design based on stochastic distances and tests between distributions. A window is defined around each pixel, samples are compared and only those which pass a goodness-of-fit test are used to…

Information Theory · Computer Science 2012-07-04 Leonardo Torres , Tamer Cavalcante , Alejandro C. Frery

Graphical models describe associations between variables through the notion of conditional independence. Gaussian graphical models are a widely used class of such models where the relationships are formalized by non-null entries of the…

Methodology · Statistics 2023-08-08 Sagnik Bhadury , Riten Mitra , Jeremy T. Gaskins

In many human-in-the-loop robotic applications such as robot-assisted surgery and remote teleoperation, predicting the intended motion of the human operator may be useful for successful implementation of shared control, guidance virtual…

Robotics · Computer Science 2018-03-28 Arun Kumar Singh , Sigal Berman , Ilana Nisky

The use of discrete material representation in numerical models is advantageous due to the straightforward way it takes into account material heterogeneity and randomness, and the discrete and orientated nature of cracks. Unfortunately, it…

Computational Engineering, Finance, and Science · Computer Science 2023-06-29 Jan Eliáš

Real-time parking occupancy information is valuable for guiding drivers' searching for parking spaces. Recently many parking detection systems using range-based on-vehicle sensors are invented, but they disregard the practical difficulty of…

Robotics · Computer Science 2016-11-17 Qi Luo , Romesh Saigal , Robert Hampshire , Xinyi Wu

Reliable forward uncertainty quantification in engineering requires methods that account for aleatory and epistemic uncertainties. In many applications, epistemic effects arising from uncertain parameters and model form dominate prediction…

Computational Engineering, Finance, and Science · Computer Science 2025-12-18 Akash Yadav , Ruda Zhang

In this paper, a new mathematical framework to the analysis of millimeter wave cellular networks is introduced. Its peculiarity lies in considering realistic path-loss and blockage models, which are derived from recently reported…

Information Theory · Computer Science 2016-11-15 Marco Di Renzo

Dedicated short-range communication (DSRC) enables vehicular communication using periodic broadcast messages. We propose to use these periodic broadcasts to perform inter-vehicle ranging. Motivated by this scenario, we study the general…

Networking and Internet Architecture · Computer Science 2017-12-19 Urs Niesen , Venkatesan N. Ekambaram , Jubin Jose , Xinzhou Wu

Vehicular networks allow vehicles to share information and are expected to be an integral part in future intelligent transportation system (ITS). In order to guide and validate the design process, analytical expressions of key performance…

Systems and Control · Computer Science 2016-10-12 Erik Steinmetz , Matthias Wildemeersch , Tony Q. S. Quek , Henk Wymeersch

Real-time safety systems are crucial components of intelligent vehicles. This paper introduces a prediction-based collision risk assessment approach on highways. Given a point mass vehicle dynamics system, a stochastic forward reachable set…

Systems and Control · Electrical Eng. & Systems 2022-05-04 Xinwei Wang , Zirui Li , Javier Alonso-Mora , Meng Wang

We address the reachability problem for continuous-time stochastic dynamic systems. Our objective is to present a unified framework that characterizes the reachable set of a dynamic system in the presence of both stochastic disturbances and…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Saber Jafarpour , Zishun Liu , Yongxin Chen

This paper addresses the adaptive radar target detection problem in the presence of Gaussian interference with unknown statistical properties. To this end, the problem is first formulated as a binary hypothesis test, and then we derive a…

Signal Processing · Electrical Eng. & Systems 2025-03-05 Chaoran Yin , Tianqi Wang , Linjie Yan , Chengpeng Hao , Alfonso Farina , Danilo Orlando

The simulation of vehicular wireless channels using geometry-based radio channel models is computationally intensive when the number of scatterers is significantly high. In this paper, we propose a new geometry-based stochastic channel…

Signal Processing · Electrical Eng. & Systems 2020-02-03 Rakesh R. T. , Emanuele Viterbo

Electronic countermeasures involving radar signals are an important aspect of modern warfare. Traditional electronic countermeasures techniques typically add large-scale interference signals to ensure interference effects, which can lead to…

Signal Processing · Electrical Eng. & Systems 2023-10-13 Ruinan Ma , Canjie Zhu , Mingfeng Lu , Yunjie Li , Yu-an Tan , Ruibin Zhang , Ran Tao

A stochastic method is introduced for geometric modeling aerosol surface roughness with random field and discrete differential geometry theory. Optical scattering properties are computed for randomly oriented spheroidal particles with…

Atmospheric and Oceanic Physics · Physics 2017-10-24 Jianing Zhang

A transmitted, unknown radar signal is observed at the receiver through more than one path in additive noise. The aim is to recover the waveform of the intercepted signal and to simultaneously estimate the direction of arrival (DOA). We…

Statistics Theory · Mathematics 2011-03-30 Tabea Rebafka , Céline Lévy-Leduc , Maurice Charbit