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Analyses in high energy physics aim to put the Standard Model---the commonly accepted theory---to test. For convincing conclusions, analysis methods are needed which offer an unambiguous comparison between data and theory while allowing…

High Energy Physics - Phenomenology · Physics 2018-07-19 Till Martini

The matrix element method utilizes ab initio calculations of probability densities as powerful discriminants for processes of interest in experimental particle physics. The method has already been used successfully at previous and current…

Computational Physics · Physics 2015-05-20 Doug Schouten , Adam DeAbreu , Bernd Stelzer

The Matrix Element Method (MEM) is a powerful method to extract information from measured events at collider experiments. Compared to multivariate techniques built on large sets of experimental data, the MEM does not rely on an…

High Energy Physics - Experiment · Physics 2021-04-07 Florian Bury , Christophe Delaere

The increasing use of multivariate methods, and in particular the Matrix Element Method (MEM), represents a revolution in experimental particle physics. With continued exponential growth in computing capabilities, the use of sophisticated…

High Energy Physics - Phenomenology · Physics 2013-07-29 James S. Gainer , Joseph Lykken , Konstantin T. Matchev , Stephen Mrenna , Myeonghun Park

Extracting scientific results from high-energy collider data involves the comparison of data collected from the experiments with synthetic data produced from computationally-intensive simulations. Comparisons of experimental data and…

High Energy Physics - Experiment · Physics 2022-11-23 Matthew Feickert , Mihir Katare , Mark Neubauer , Avik Roy

The Matrix-Element Method (MEM) has long been a cornerstone of data analysis in high-energy physics. It leverages theoretical knowledge of parton-level processes and symmetries to evaluate the likelihood of observed events. In parallel, the…

High Energy Physics - Phenomenology · Physics 2024-10-25 Daniel Maître , Vishal S. Ngairangbam , Michael Spannowsky

The Matrix Element Method is a promising multi-variate analysis tool which offers an optimal approach to compare theory and experiment according to the Neyman-Pearson lemma. However, until recently its usage has been limited by the fact…

High Energy Physics - Phenomenology · Physics 2020-10-01 Till Martini , Manfred Kraus , Sascha Peitzsch , Peter Uwer

The matrix element method (MEM) has been extensively used for the analysis of top-quark and W-boson physics at the Tevatron, but in general without dedicated treatment of initial state QCD radiation. At the LHC, the increased center of mass…

High Energy Physics - Phenomenology · Physics 2015-03-17 J. Alwall , A. Freitas , O. Mattelaer

The Expectation--Maximization (EM) algorithm is a simple meta-algorithm that has been used for many years as a methodology for statistical inference when there are missing measurements in the observed data or when the data is composed of…

Machine Learning · Statistics 2022-11-15 Hideitsu Hino , Shotaro Akaho , Noboru Murata

High-energy physics data analysis relies heavily on the comparison between experimental and simulated data as stressed lately by the Higgs search at LHC and the recent identification of a Higgs-like new boson. The first link in the full…

High Energy Physics - Experiment · Physics 2015-06-12 Denis Perret-Gallix

This contribution outlines the implementation of the matrix element method (MEM) in the search for $\text{t}\bar{\text{t}}$H, H $\rightarrow \text{b}\bar{\text{b}}$ events. In particular, the evaluation of the transfer functions, which…

High Energy Physics - Experiment · Physics 2018-12-21 Maren Meinhard

Numerical homogenization for mechanical multiscale modeling by means of the finite element method (FEM) is an elegant way of obtaining structure-property relations, if the behavior of the constituents of the lower scale is well understood.…

Numerical Analysis · Mathematics 2025-08-07 Nils Lange , Geralf Hütter , Bjoern Kiefer

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

The finite element method (FEM) has several computational steps to numerically solve a particular problem, to which many efforts have been directed to accelerate the solution stage of the linear system of equations. However, the finite…

Numerical Analysis · Computer Science 2015-01-21 Francisco Javier Ramírez-Gil , Marcos de Sales Guerra Tsuzuki , Wilfredo Montealegre-Rubio

The Matrix Element Method (MEM) has proven beneficial to make maximal use of the information available in experimental data. However, so far it has mostly been used in Born approximation only. In this paper we discuss an extension to NLO…

High Energy Physics - Phenomenology · Physics 2015-11-30 Till Martini , Peter Uwer

The matrix element technique provides a superior statistical sensitivity for precision measurements of important parameters at hadron colliders, such as the mass of the top quark or the cross section for the production of Higgs bosons. The…

High Energy Physics - Experiment · Physics 2014-11-20 Oleg Brandt , Gaston Gutierrez , Michael H. L. S. Wang , Zhenyu Ye

The finite element method (FEM) is a well-established numerical method for solving partial differential equations (PDEs). However, its mesh-based nature gives rise to substantial computational costs, especially for complex multiscale…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Weihang Ouyang , Yeonjong Shin , Si-Wei Liu , Lu Lu

We propose masked particle modeling (MPM) as a self-supervised method for learning generic, transferable, and reusable representations on unordered sets of inputs for use in high energy physics (HEP) scientific data. This work provides a…

High Energy Physics - Phenomenology · Physics 2024-07-12 Tobias Golling , Lukas Heinrich , Michael Kagan , Samuel Klein , Matthew Leigh , Margarita Osadchy , John Andrew Raine

The mixture model is undoubtedly one of the greatest contributions to clustering. For continuous data, Gaussian models are often used and the Expectation-Maximization (EM) algorithm is particularly suitable for estimating parameters from…

Machine Learning · Statistics 2025-11-25 Zineddine Tighidet , Lazhar Labiod , Mohamed Nadif

The particle-in-cell (PIC) method has been widely used for plasma simulation, because of its noise-reduction capability and moderate computational cost. The immersed finite element (IFE) method is efficient for solving interface problems on…

Numerical Analysis · Mathematics 2019-10-18 Jinwei Bai , Yong Cao , Yuchuan Chu , Xu Zhang
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