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The maximum likelihood (ML) and maximum a posteriori (MAP) estimation techniques are widely used to address the direction-of-arrival (DOA) estimation problems, an important topic in sensor array processing. Conventionally the ML estimators…

Applications · Statistics 2016-03-31 Xin Zhang , Mohammed Nabil El Korso , Marius Pesavento

We investigate the performance of ptychography with noisy data by analyzing the Cram\'{e}r Rao Lower Bound. The lower bound of ptychography is derived and numerically computed for both plane wave and structured illumination. The influence…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Xukang Wei , H. Paul Urbach

A data-analysis strategy based on the maximum-likelihood method (MLM) is presented for the detection of gravitational waves from inspiraling compact binaries with a network of laser-interferometric detectors having arbitrary orientations…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Archana Pai , Sanjeev Dhurandhar , Sukanta Bose

Point of colsest Approche algorithm (PoCA) based on the formalism of muon radiogra- phy using Multiple Coulomb scattering (MCS) as information source is previously used to obtain the reconstruction image of high Z material. The low accuracy…

Instrumentation and Detectors · Physics 2018-06-05 Xiao-Dong Wang , Kai-Xuan Ye , Yi Wang , Yu-Lei Li , Xie Wei , Ling-Yi Luo , Guo-Xiang Chen

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

We consider the problem of localization of Poisson source by the observations of inhomogeneous Poisson processes. We suppose that there are $k$ detectors on the plane and each detector provides the observations of Poisson processes whose…

Statistics Theory · Mathematics 2018-06-19 Oleg V. Chernoyarov , Yury A. Kutoyants

Maximum Likelihood (ML) algorithms, for the joint estimation of synchronization impairments and channel in Multiple Input Multiple Output-Orthogonal Frequency Division Multiplexing (MIMO-OFDM) system, are investigated in this work. A system…

Information Theory · Computer Science 2012-10-30 Renu Jose , K. V. S. Hari

Image coaddition is one of the most basic operations that astronomers perform. In Paper~I, we presented the optimal ways to coadd images in order to detect faint sources and to perfrom flux measurements under the assumption that the noise…

Instrumentation and Methods for Astrophysics · Physics 2018-03-28 Barak Zackay , Eran O. Ofek

Orthogonal nonnegative matrix factorization (ONMF) has become a standard approach for clustering. As far as we know, most works on ONMF rely on the Frobenius norm to assess the quality of the approximation. This paper presents a new model…

Machine Learning · Statistics 2025-11-06 Jean Pacifique Nkurunziza , Fulgence Nahayo , Nicolas Gillis

In this paper, we consider a novel and robust maximum likelihood approach to localizing radiation sources with unknown statistics of the source signal strength. The result utilizes the smallest number of sensors required theoretically to…

Optimization and Control · Mathematics 2016-10-11 Henry E. Baidoo-Williams

We present a method of reliably extracting the flux of individual sources from sky maps in the presence of noise and a source population in which number counts are a steeply falling function of flux. The method is an extension of a standard…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 T. M. Crawford , E. R. Switzer , W. L. Holzapfel , C. L. Reichardt , D. P. Marrone , J. D. Vieira

Maximum likelihood (ML) detection is an optimal signal detection scheme, which is often difficult to implement due to its high computational complexity, especially in a multiple-input multiple-output (MIMO) scenario. In a system with $N_t$…

Information Theory · Computer Science 2022-08-16 Sharan Mourya , Amit Kumar Dutta

Multi-view subspace learning (MSL) aims to find a low-dimensional subspace of the data obtained from multiple views. Different from single view case, MSL should take both common and specific knowledge among different views into…

Machine Learning · Computer Science 2018-11-08 Hongwei Yong , Deyu Meng , Jinxing Li , Wangmeng Zuo , Lei Zhang

Multi-source localization based on received signal strength (RSS) has drawn great interest in wireless sensor networks. However, the shadow fading term caused by obstacles cannot be separated from the received signal, which leads to severe…

Signal Processing · Electrical Eng. & Systems 2021-10-22 Yueyan Chu , Wenbin Guo , Kangyong You , Lei Zhao , Tao Peng , Wenbo Wang

The study of machine learning (ML) techniques for the autonomous classification of astrophysical sources is of great interest, and we explore its applications in the context of a multifrequency data-frame. We test the use of supervised ML…

High Energy Astrophysical Phenomena · Physics 2020-10-07 Bruno Arsioli , Pedro Dedin

We present a new algorithm designed to improve the signal to noise ratio (SNR) of point and extended source detections in direct imaging data. The novel part of our method is that it finds the linear combination of the science images that…

This paper discusses phase retrieval algorithms for maximum likelihood (ML) estimation from measurements following independent Poisson distributions in very low-count regimes, e.g., 0.25 photon per pixel. To maximize the log-likelihood of…

Information Theory · Computer Science 2022-09-27 Zongyu Li , Kenneth Lange , Jeffrey A. Fessler

It is considered the problem of localization on the plane of two radioactive sources by K detectors. Each detector records a realization of inhomogeneous Poisson process and the intensity function of this process is a sum of a signal…

Statistics Theory · Mathematics 2022-11-17 O Chernoyarov , S Dachian , C Farinetto , Yu Kutoyants

The detection and flux estimation of point sources in cosmic microwave background (CMB) maps is a very important task in order to clean the maps and also to obtain relevant astrophysical information. In this paper we propose a maximum a…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 F. Argueso , E. Salerno , D. Herranz , J. L. Sanz , E. E. Kuruoglu , K. Kayabol

This paper presents a fast computational method, the Expectation Maximization algorithm, for Maximum Likelihood (ML) estimation in diffusion tensor imaging under the Rice noise model. We further extend the ML framework to the maximum a…

Computation · Statistics 2015-01-09 Jia Liu , Dario Gasbarra , Juha Railavo