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Maximum Entropy is an image reconstruction method conceived to image a sparsely occupied field of view and therefore particularly appropriate to achieve super-resolution effects. Although widely used in image deconvolution, this method has…

Solar and Stellar Astrophysics · Physics 2020-05-13 Paolo Massa , Richard Schwartz , A Kim Tolbert , Anna Maria Massone , Brian R Dennis , Michele Piana , Federico Benvenuto

In this report, we applied expectation and maximization (EM) method described by Philips et al [1] to recover two-dimensional (2D) structure from multiple sparse signal images in random orientation. The detailed derivation of EM algorithm…

Data Analysis, Statistics and Probability · Physics 2017-01-12 Yun Zhao

The Expectation-Maximization (EM) algorithm is a fundamental tool in unsupervised machine learning. It is often used as an efficient way to solve Maximum Likelihood (ML) estimation problems, especially for models with latent variables. It…

Quantum Physics · Physics 2020-07-08 Iordanis Kerenidis , Alessandro Luongo , Anupam Prakash

Dramatic increases in the size and dimensionality of many recent data sets make crucial the need for sophisticated methods that can exploit inherent structure and handle missing values. In this article we derive an expectation-maximization…

Methodology · Statistics 2013-09-26 Hunter Glanz , Luis Carvalho

NEXT (Neutrino Experiment with a Xenon TPC) is a neutrinoless double-beta (\beta\beta 0\nu) decay experiment at the Canfranc Underground Laboratory (LSC). It seeks to detect the (\beta\beta 0\nu) decay of Xe-136 using a high pressure xenon…

Instrumentation and Detectors · Physics 2019-08-13 M. Nebot-Guinot

Next-generation neutrinoless double beta decay experiments aim for half-life sensitivities of ~$10^{27}$ yr, requiring suppressing backgrounds to <1 count/tonne/yr. For this, any extra background rejection handle, beyond excellent energy…

Instrumentation and Detectors · Physics 2021-09-09 A. Simón , Y. Ifergan , A. B. Redwine , R. Weiss-Babai , L. Arazi , C. Adams , H. Almazán , V. Álvarez , B. Aparicio , A. I. Aranburu , I. J. Arnquist , C. D. R Azevedo , K. Bailey , F. Ballester , J. M. Benlloch-Rodríguez , F. I. G. M. Borges , N. Byrnes , S. Cárcel , J. V. Carrión , S. Cebrián , E. Church , C. A. N. Conde , T. Contreras , F. P. Cossío , A. A. Denisenko , G. Díaz , J. Díaz , J. Escada , R. Esteve , R. Felkai , L. M. P. Fernandes , P. Ferrario , A. L. Ferreira , F. Foss , E. D. C. Freitas , Z. Freixa , J. Generowicz , A. Goldschmidt , J. J. Gómez-Cadenas , R. González , D. González-Díaz , S. Gosh , R. Guenette , R. M. Gutiérrez , J. Haefner , K. Hafidi , J. Hauptman , C. A. O. Henriques , J. A. Hernando Morata , P. Herrero , V. Herrero , J. Ho , B. J. P. Jones , M. Kekic , L. Labarga , A. Laing , P. Lebrun , N. López-March , M. Losada , R. D. P. Mano , J. Martín-Albo , A. Martínez , M. Martínez-Vara , G. Martínez-Lema , A. D. McDonald , Z. -E. Meziani , F. Monrabal , C. M. B. Monteiro , F. J. Mora , J. Muñoz Vidal , C. Newhouse , P. Novella , D. R. Nygren , E. Oblak , M. Odriozola-Gimeno , B. Palmeiro , A. Para , J. Pérez , M. Querol , J. Renner , L. Ripoll , I. Rivilla , Y. Rodríguez García , J. Rodríguez , C. Rogero , L. Rogers , B. Romeo , C. Romo-Luque , F. P. Santos , J. M. F. dos Santos , M. Sorel , C. Stanford , J. M. R. Teixeira , P. Thapa , J. F. Toledo , J. Torrent , A. Usón , J. F. C. A. Veloso , T. T. Vuong , R. Webb , J. T. White , K. Woodruff , N. Yahlali

The NEXT neutrinoless double beta decay experiment will use a high- pressure gas electroluminescence-based TPC to search for the decay of Xe-136. One of the main advantages of this technology is the possibility to reconstruct the topology…

Conventional methods for computing maximum-likelihood estimators (MLE) often converge slowly in practical situations, leading to a search for simplifying methods that rely on additional assumptions for their validity. In this work, we…

Quantum Physics · Physics 2017-06-28 Jiangwei Shang , Zhengyun Zhang , Hui Khoon Ng

We study the trajectory of iterations and the convergence rates of the Expectation-Maximization (EM) algorithm for two-component Mixed Linear Regression (2MLR). The fundamental goal of MLR is to learn the regression models from unlabeled…

Machine Learning · Computer Science 2024-06-05 Zhankun Luo , Abolfazl Hashemi

We characterize the improved angular and energy resolution of a new likelihood gamma-ray reconstruction for VERITAS. The algorithm uses the average photoelectrons stored in templates that are based on simulations of large numbers of showers…

Instrumentation and Methods for Astrophysics · Physics 2019-08-13 Jodi Christiansen

The EM (Expectation-Maximization) algorithm is regarded as an MM (Majorization-Minimization) algorithm for maximum likelihood estimation of statistical models. Expanding this view, this paper demonstrates that by choosing an appropriate…

Optimization and Control · Mathematics 2026-02-12 Kensuke Asai , Jun-ya Gotoh

Imaging interferometric data in radio astronomy requires the use of non-linear algorithms that rely on different assumptions on the source structure and may produce non-unique results. This is especially true for Very Long Baseline…

Instrumentation and Methods for Astrophysics · Physics 2024-01-19 A. Mus , I. Martí-Vidal

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

We consider the problem of breakpoint detection in a regression modeling framework. To that end, we introduce a novel method, the max-EM algorithm which combines a constrained Hidden Markov Model with the Classification-EM (CEM) algorithm.…

Computation · Statistics 2024-10-14 Modibo Diabaté , Grégory Nuel , Olivier Bouaziz

The expectation-maximization (EM) algorithm is a powerful computational technique for finding the maximum likelihood estimates for parametric models when the data are not fully observed. The EM is best suited for situations where the…

Computation · Statistics 2018-05-14 Chanseok Park

NEXT-100 experiment aims at searching the neutrinoless double-beta decay of the Xe-136 isotope using a TPC filled with a 100 kg of high-pressure gaseous xenon, with 90% isotopic enrichment. The experiment will take place at the Laboratorio…

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 correlated binomial (CB) distribution was proposed by Luce\~no (Computational Statistics $\&$ Data Analysis, 20, 1995, 511-520) as an alternative to the binomial distribution for the analysis of the data in the presence of correlations…

Methodology · Statistics 2022-02-25 Andrea Bennett , Min Wang