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We present a general method of associating next-to-leading order weights to leading order phase space configurations at hadron colliders. The method relies on a re-organization of phase space for the real radiation contributions, defining a…

High Energy Physics - Phenomenology · Physics 2013-11-25 John M. Campbell , Walter T. Giele , Ciaran Williams

The Nystrom method is an efficient technique used to speed up large-scale learning applications by generating low-rank approximations. Crucial to the performance of this technique is the assumption that a matrix can be well approximated by…

Machine Learning · Computer Science 2014-08-12 Ameet Talwalkar , Afshin Rostamizadeh

Mixture models are a fundamental tool in applied statistics and machine learning for treating data taken from multiple subpopulations. The current practice for estimating the parameters of such models relies on local search heuristics…

Machine Learning · Computer Science 2012-09-07 Animashree Anandkumar , Daniel Hsu , Sham M. Kakade

Testing the unitarity of the lepton mixing matrix, in a manner analogous to the unitarity tests of the CKM matrix in the quark sector, is an important step toward probing physics beyond the standard three-generation framework. In long…

High Energy Physics - Phenomenology · Physics 2026-05-21 Ryuichiro Kitano , Joe Sato , Sho Sugama

For the purpose of deriving the observed nearly tribimaximal neutrino mixing, a possible quark mass matrix model is investigated based on a yukawaon model. The neutrino mass matrix is related to the up-quark mass matrix. Five observable…

High Energy Physics - Phenomenology · Physics 2010-03-31 Yoshio Koide

The Nystrom method is an efficient technique to speed up large-scale learning applications by generating low-rank approximations. Crucial to the performance of this technique is the assumption that a matrix can be well approximated by…

Artificial Intelligence · Computer Science 2010-04-13 Ameet Talwalkar , Afshin Rostamizadeh

Mixture modeling is a general technique for making any simple model more expressive through weighted combination. This generality and simplicity in part explains the success of the Expectation Maximization (EM) algorithm, in which updates…

Machine Learning · Statistics 2016-03-29 Sida I. Wang , Arun Tejasvi Chaganty , Percy Liang

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

This paper compares the Maximum-likelihood method and Bayesian method for finite element model updating. The Maximum-likelihood method was implemented using genetic algorithm while the Bayesian method was implemented using the Markov Chain…

Applications · Statistics 2007-05-23 Tshilidzi Marwala , Lungile Mdlazi , Sibusiso Sibisi

The coresets approach, also called subsampling or subset selection, aims to select a subsample as a surrogate for the observed sample and has found extensive applications in large-scale data analysis. Existing coresets methods construct the…

Computation · Statistics 2024-09-17 Mengyu Li , Jun Yu , Tao Li , Cheng Meng

We consider the least-squares finite element method (lsfem) for systems of nonlinear ordinary differential equations and establish an optimal error estimate for this method when piecewise linear elements are used. The main assumptions are…

Numerical Analysis · Mathematics 2021-10-01 Matthias Chung , Justin Krueger , Honghu Liu

The leptonic decays of the heavy gauge bosons W and/or Z provide a clear experimental signature at hadron colliders. The production of accompanying jets is an excellent signal to probe QCD, while also being the main background to many…

High Energy Physics - Phenomenology · Physics 2015-03-18 Flavia A. Dias , Emily Nurse , Gavin Hesketh

In this article we present a neural network based model to emulate matrix elements. This model improves on existing methods by taking advantage of the known factorisation properties of matrix elements. In so doing we can control the…

High Energy Physics - Phenomenology · Physics 2021-12-01 Daniel Maître , Henry Truong

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

This paper serves as our first effort to develop a new triangular spectral element method (TSEM) on unstructured meshes, using the rectangle-triangle mapping proposed in the conference note [21]. Here, we provide some new insights into the…

Numerical Analysis · Mathematics 2012-04-24 Michael Daniel Samson , Huiyuan Li , Li-Lian Wang

We make a thorough comparison between different schemes of merging fixed-order tree-level matrix element generators with parton-shower models. We use the most basic benchmark of the O(alpha_S) correction to e+e- -> jets, where the simple…

High Energy Physics - Phenomenology · Physics 2009-04-30 Nils Lavesson , Leif Lonnblad

Matrix-covariate is now frequently encountered in many biomedical researches. It is common to fit conventional statistical models by vectorizing matrix-covariate. This strategy, however, results in a large number of parameters, while the…

Applications · Statistics 2016-07-12 Hung Hung , Zhi-Yu Jou

Matrix approximation is a common tool in machine learning for building accurate prediction models for recommendation systems, text mining, and computer vision. A prevalent assumption in constructing matrix approximations is that the…

Machine Learning · Computer Science 2013-01-16 Joonseok Lee , Seungyeon Kim , Guy Lebanon , Yoram Singer

Parton showers are accurate for soft and/or collinear emission, but for a good description of the whole of phase space they need to be supplemented by matrix element corrections. In this paper, we discuss matrix element corrections to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gennaro Corcella , Michael H. Seymour

Intensity estimation is a common problem in statistical analysis of spatial point pattern data. This paper proposes a nonparametric Bayesian method for estimating the spatial point process intensity based on mixture of finite mixture (MFM)…

Methodology · Statistics 2019-07-09 Junxian Geng , Wei Shi , Guanyu Hu