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The expectation-maximization (EM) algorithm and its variants are widely used in statistics. In high-dimensional mixture linear regression, the model is assumed to be a finite mixture of linear regression and the number of predictors is much…

Statistics Theory · Mathematics 2023-07-24 Ning Wang , Xin Zhang , Qing Mai

Cure models have been developed as an alternative modelling approach to conventional survival analysis in order to account for the presence of cured subjects that will never experience the event of interest. Mixture cure models, which model…

Methodology · Statistics 2022-07-19 Eni Musta , Valentin Patilea , Ingrid Van Keilegom

The NEXT (Neutrino Experiment with a Xenon TPC) project is an international collaboration aimed at finding evidence of neutrinoless double beta decay using gaseous xenon. The current phase of the project involves the construction and…

Instrumentation and Detectors · Physics 2024-01-26 S. R. Soleti

The Expectation-Maximization (EM) algorithm for mixture models often results in slow or invalid convergence. The popular convergence proof affirms that the likelihood increases with Q; Q is increasing in the M -step and non-decreasing in…

Machine Learning · Computer Science 2018-10-29 Chenguang Lu

The imaging performance of a high-resolution preclinical microPET system employing liquid xenon as the gamma ray detection medium was simulated. The arrangement comprises a ring of detectors consisting of trapezoidal LXe time projection…

Medical Physics · Physics 2012-03-23 A. Miceli , J. Glister , A. Andreyev , D. Bryman , L. Kurchaninov , P. Lu , A. Muennich , F. Retiere , V. Sossi

The maximum entropy method (MEM) is a well known deconvolution technique in radio-interferometry. This method solves a non-linear optimization problem with an entropy regularization term. Other heuristics such as CLEAN are faster but highly…

Instrumentation and Methods for Astrophysics · Physics 2022-10-27 M. Cárcamo , P. Román , S. Casassus , V. Moral , F. R. Rannou

The Daya Bay Reactor Neutrino experiment is designed to precisely determine the neutrino mixing angle theta13. In this paper, we report a maximum likelihood (ML) method to reconstruct the vertex and energy of events in the anti-neutrino…

Instrumentation and Detectors · Physics 2014-03-10 Xia Dongmei

Finite mixture models are among the most popular statistical models used in different data science disciplines. Despite their broad applicability, inference under these models typically leads to computationally challenging non-convex…

Machine Learning · Computer Science 2018-09-25 Babak Barazandeh , Meisam Razaviyayn

The Expectation-Maximization (EM) algorithm is routinely used for the maximum likelihood estimation in the latent class analysis. However, the EM algorithm comes with no guarantees of reaching the global optimum. We study the geometry of…

We introduce the EMC algorithm for reconstructing a particle's 3D diffraction intensity from very many photon shot-noise limited 2D measurements, when the particle orientation in each measurement is unknown. The algorithm combines a…

Data Analysis, Statistics and Probability · Physics 2010-03-04 Duane Ne-Te Loh , Veit Elser

Multilayer Extreme Learning Machine (ML-ELM) and its variants have proven to be an effective technique for the classification of different natural signals such as audio, video, acoustic and images. In this paper, a Hybrid Multilayer Extreme…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Rolando A. Hernandez-Hernandez , Adrian Rubio-Solis

A non linear regression approach which consists of a specific regression model incorporating a latent process, allowing various polynomial regression models to be activated preferentially and smoothly, is introduced in this paper. The model…

Statistics Theory · Mathematics 2013-12-30 Faicel Chamroukhi , Allou Samé , Gérard Govaert , Patrice Aknin

We consider the problem of retrieving the aerosol extinction coefficient from Raman lidar measurements. This is an ill--posed inverse problem that needs regularization, and we propose to use the Expectation--Maximization (EM) algorithm to…

Finite mixture models have been widely used for the modelling and analysis of data from heterogeneous populations. Maximum likelihood estimation of the parameters is typically carried out via the Expectation-Maximization (EM) algorithm. The…

Computation · Statistics 2016-06-08 Sharon X Lee , Kaleb L Lee , Geoffrey J McLachlan

Maximum likelihood estimation (MLE) is a statistical method used to estimate the parameters of a probability distribution that best explain the observed data. In the context of text generation, MLE is often used to train generative language…

Computation and Language · Computer Science 2023-10-27 Chenze Shao , Zhengrui Ma , Min Zhang , Yang Feng

We explore a method of statistical estimation called Maximum Entropy on the Mean (MEM) which is based on an information-driven criterion that quantifies the compliance of a given point with a reference prior probability measure. At the core…

Statistics Theory · Mathematics 2022-12-20 Yakov Vaisbourd , Rustum Choksi , Ariel Goodwin , Tim Hoheisel , Carola-Bibiane Schönlieb

Natural radioactivity represents one of the main backgrounds in the search for neutrinoless double beta decay. Within the NEXT physics program, the radioactivity-induced backgrounds are measured with the NEXT-White detector. Data from 37.9…

The search for neutrinoless double beta decay ($0\nu\beta\beta$) remains one of the most compelling experimental avenues for the discovery in the neutrino sector. Electroluminescent gas-phase time projection chambers are well suited to…

Instrumentation and Detectors · Physics 2023-08-04 NEXT Collaboration , N. K. Byrnes , I. Parmaksiz , C. Adams , J. Asaadi , J Baeza-Rubio , K. Bailey , E. Church , D. González-Díaz , A. Higley , B. J. P. Jones , K. Mistry , I. A. Moya , D. R. Nygren , P. Oyedele , L. Rogers , K. Stogsdill , H. Almazán , V. Álvarez , B. Aparicio , A. I. Aranburu , L. Arazi , I. J. Arnquist , S. Ayet , C. D. R. Azevedo , F. Ballester , M. del Barrio-Torregrosa , A. Bayo , J. M. Benlloch-Rodríguez , F. I. G. M. Borges , S. Bounasser , S. Cárcel , J. V. Carrión , S. Cebrián , L. Cid , C. A. N. Conde , T. Contreras , F. P. Cossío , E. Dey , G. Díaz , T. Dickel , M. Elorza , J. Escada , R. Esteve , A. Fahs , R. Felkai , L. M. P. Fernandes , P. Ferrario , A. L. Ferreira , F. W. Foss , E. D. C. Freitas , Z. Freixa , J. Generowicz , A. Goldschmidt , J. J. Gómez-Cadenas , R. González , J. Grocott , R. Guenette , J. Haefner , K. Hafidi , J. Hauptman , C. A. O. Henriques , J. A. Hernando Morata , P. Herrero-Gómez , V. Herrero , C. Hervés Carrete , J. Ho , P. Ho , Y. Ifergan , L. Labarga , L. Larizgoitia , P. Lebrun , F Lopez , D. Lopez Gutierrez , N. López-March , R. Madigan , R. D. P. Mano , A. P. Marques , J. Martín-Albo , G. Martínez-Lema , M. Martínez-Vara , Z. E. Meziani , R. L. Miller , F. Monrabal , C. M. B. Monteiro , F. J. Mora , J. Muñoz Vidal , K. E. Navarro , P. Novella , A. Nuñez , E. Oblak , M. Odriozola-Gimeno , J. Palacio , B. Palmeiro , A. Para , J Pelegrin , M. Pérez Maneiro , M. Querol , A. B. Redwine , J. Renner , I. Rivilla , J. Rodríguez , C. Rogero , B. Romeo , C. Romo-Luque , F. P. Santos , J. M. F. dos Santos , A. Simón , S. R. Soleti , M. Sorel , C. Stanford , J. M. R. Teixeira , J. F. Toledo , J. Torrent , A. Usón , J. F. C. A. Veloso , T. T. Vuong , J. Waiton , J. T. White

We investigate the dependence of the maximum entropy method (MEM) reconstruction performance on the default model. The maximum entropy method is a reconstruction technique that utilizes prior information, referred to as the default model,…

Statistical Mechanics · Physics 2025-10-06 Masaru Hitomi , Masayuki Ohzeki

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing (local) maximum likelihood estimate (MLE). It can be used in an extensive range of problems, including the clustering of data based on the Gaussian…

Machine Learning · Statistics 2023-03-28 Pierre Houdouin , Esa Ollila , Frederic Pascal
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