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We present a method for determining the unknown location of a sensor placed in a known 2D environment in the presence of unknown dynamic obstacles, using only few distance measurements. We present guarantees on the quality of the…

Robotics · Computer Science 2024-08-20 Michael M. Bilevich , Shahar Guini , Dan Halperin

A maximum likelihood (ML) technique for detecting compact sources in images of the x-ray sky is examined. Such images, in the relatively low exposure regime accessible to present x-ray observatories, exhibit Poissonian noise at background…

Instrumentation and Methods for Astrophysics · Physics 2009-11-13 I. M. Stewart

Consider a remote estimation problem where a sensor wants to communicate the state of an uncertain source to a remote estimator over a finite time horizon. The uncertain source is modeled as an autoregressive process with bounded noise.…

Systems and Control · Computer Science 2019-02-12 Mukul Gagrani , Yi Ouyang , Mohammad Rasouli , Ashutosh Nayyar

Reconstruction of the curvatures of radio wavefronts of air showers initiated by ultra high energy cosmic rays is discussed based on minimization algorithms commonly used. We emphasize the importance of the convergence process induced by…

Instrumentation and Methods for Astrophysics · Physics 2012-09-19 Ahmed Rebai , Tarek Salhi , Pascal Lautridou , Olivier Ravel

Source localization and spectral estimation are among the most fundamental problems in statistical and array signal processing. Methods which rely on the orthogonality of the signal and noise subspaces, such as Pisarenko's method, MUSIC,…

Information Theory · Computer Science 2019-04-16 Matthew W. Morency , Sergiy A. Vorobyov , Geert Leus

We propose a machine-learning-based technique to determine the number density of radio sources as a function of their flux density, for use in next-generation radio surveys. The method uses a convolutional neural network trained on…

Instrumentation and Methods for Astrophysics · Physics 2024-01-17 Elisa Todarello , Andre Scaffidi , Marco Regis , Marco Taoso

The method of maximum likelihood estimation (MLE) is a widely used statistical approach for estimating the values of one or more unknown parameters of a probabilistic model based on observed data. In this tutorial, I briefly review the…

Data Analysis, Statistics and Probability · Physics 2018-12-03 Anthony Vella

The physical position is crucial in location-aware services or protocols based on geographic information, where localization is performed given a set of sensor measurements for acquiring the position of an object with respect to a certain…

Applications · Statistics 2022-04-14 Wu Junfeng , Mu Biqiang , Yi Xinlei , Wei Jieqiang , Johansson Karl Henrik

In this letter, we employ and design the expectation--conditional maximization either (ECME) algorithm, a generalisation of the EM algorithm, for solving the maximum likelihood direction finding problem of stochastic sources, which may be…

Signal Processing · Electrical Eng. & Systems 2025-08-05 Ming-yan Gong , Bin Lyu

Localisation of a source of a toxic release of biochemical aerosols in the atmosphere is a problem of great importance for public safety. Two main practical difficulties are encountered in this problem: the lack of knowledge of the…

Computation · Statistics 2016-02-15 Branko Ristic , Ajith Gunatilaka , Ralph Gailis , Alex Skvortsov

Maximum likelihood estimation is effective for identifying dynamical systems, but applying it to large networks becomes computationally prohibitive. This paper introduces a maximum likelihood estimation method that enables identification of…

Systems and Control · Electrical Eng. & Systems 2025-11-06 João Victor Galvão da Mata , Anders Hansson , Martin S. Andersen

Machine-learning techniques have become fundamental in high-energy physics and, for new physics searches, it is crucial to know their performance in terms of experimental sensitivity, understood as the statistical significance of the…

High Energy Physics - Phenomenology · Physics 2022-11-10 Ernesto Arganda , Xabier Marcano , Víctor Martín Lozano , Anibal D. Medina , Andres D. Perez , Manuel Szewc , Alejandro Szynkman

This paper addresses robust waveform design for multiple-input-multiple-output (MIMO) radar detection. A probabilistic model is proposed to describe the target uncertainty. Considering that waveform design based on maximizing the…

Signal Processing · Electrical Eng. & Systems 2022-04-12 Xuyang Wang , Bo Tang , Ming Zhang

The article addresses the problem of detecting presence and location of a small low emission source inside of an object, when the background noise dominates. This problem arises, for instance, in some homeland security applications. The…

Statistics Theory · Mathematics 2015-05-28 Xiaolei Xun , Bani Mallick , Raymond J. Carroll , Peter Kuchment

Determining the presence of a potential optical source in the interest region is important for an imaging system and can be achieved by using hypothesis testing. The previous studies assume that the potential source is completely…

Quantum Physics · Physics 2024-10-23 Jian-Dong Zhang , Kexin Zhang , Lili Hou , Shuai Wang

Many applications have been identified which require the deployment of large-scale low-power wireless sensor networks. Some of the deployment environments, however, impose harsh operation conditions due to intense cross-technology…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Abiy Tasissa , Waltenegus Dargie

A common problem in astrophysics is determining how bright a source could be and still not be detected. Despite the simplicity with which the problem can be stated, the solution involves complex statistical issues that require careful…

Instrumentation and Methods for Astrophysics · Physics 2016-02-19 Vinay L. Kashyap , David A. van Dyk , Alanna Connors , Peter Freeman , Aneta Siemiginowska , Jin Xu , Andreas Zezas

This paper addresses the challenges of optimally placing a finite number of sensors to detect Poisson-distributed targets in a bounded domain. We seek to rigorously account for uncertainty in the target arrival model throughout the problem.…

Robotics · Computer Science 2023-07-11 Mingyu Kim , Harun Yetkin , Daniel J. Stilwell , Jorge Jimenez , Saurav Shrestha , Nina Stark

In this work we analyze a convex-programming method for estimating superpositions of point sources or spikes from nonuniform samples of their convolution with a known kernel. We consider a one-dimensional model where the kernel is either a…

Optimization and Control · Mathematics 2018-06-04 Brett Bernstein , Carlos Fernandez-Granda

3D-localization of gamma sources has the potential to improve the outcome of radio-guided surgery. The goal of this paper is to analyze the localization accuracy for point-like sources with a single coded aperture camera. We both simulated…

Medical Physics · Physics 2024-06-24 Tobias Meißner , Laura Antonia Cerbone , Paolo Russo , Werner Nahm , Jürgen Hesser