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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

Singularities of a statistical model are the elements of the model's parameter space which make the corresponding Fisher information matrix degenerate. These are the points for which estimation techniques such as the maximum likelihood…

Statistics Theory · Mathematics 2019-07-25 Nhat Ho , XuanLong Nguyen

Composite Higgs models, together with partial compositeness, predict the existence of new scalars and vector-like quarks (partners) at and above the TeV scale. Generically, the presence of these additional scalars opens up new decay…

High Energy Physics - Phenomenology · Physics 2022-03-31 Avik Banerjee , Diogo Buarque Franzosi , Gabriele Ferretti

This paper analyzes the factorizability and geometry of transition matrices of multivariate Markov chains. Specifically, we demonstrate that the induced chains on factors of a product space can be regarded as information projections with…

Probability · Mathematics 2026-05-26 Michael C. H. Choi , Youjia Wang , Geoffrey Wolfer

The escalating parameter counts in modern deep learning models pose a fundamental challenge to efficient training and resolution of overfitting. We address this by introducing the \emph{Mapping Networks} which replace the high dimensional…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Lord Sen , Shyamapada Mukherjee

We elaborate on a recently found SU(5) relation confined to the up-(s)quark flavour space, that remains immune to large quantum corrections up to the TeV scale. We investigate the possibilities opened by this new window on the GUT scale in…

High Energy Physics - Phenomenology · Physics 2015-04-29 Sylvain Fichet , Björn Herrmann , Yannick Stoll

Precision measurements of high energy top quarks at the LHC constitute a powerful probe of new physics. We study the effect of four fermion operators involving two tops and two light quarks on the high energy tail of the $t\bar t$ invariant…

High Energy Physics - Phenomenology · Physics 2019-02-20 Marco Farina , Cristina Mondino , Duccio Pappadopulo , Joshua T. Ruderman

Spectroscopic redshift surveys offer great prospects for constraining the dark sector in cosmology. Future surveys will however be both deep and wide and will thus require an analysis in 3-dimensional spherical geometry. We review and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Andrina Nicola , Alexandre Refregier , Adam Amara , Aseem Paranjape

The next-generation high-energy facilities, the CERN Large Hadron Collider (LHC) and the prospective $e^+e^-$ International Linear Collider (ILC), are expected to unravel new structures of matter and forces from the electroweak scale to the…

High Energy Physics - Phenomenology · Physics 2009-02-18 S. Y. Choi

We elaborate on a recently found $SU(5)$ relation confined to the up-(s)quark flavour space, that remains immune to large quantum corrections up to the TeV scale. We investigate the possibilities opened by this new window on the GUT scale…

High Energy Physics - Phenomenology · Physics 2015-09-15 Björn Herrmann , Sylvain Fichet , Yannick Stoll

Precision measurements, now and at a future linear electron-positron collider (ILC), can provide indirect information about the possible scale of supersymmetry. We illustrate the present-day and possible future ILC sensitivities within the…

High Energy Physics - Phenomenology · Physics 2009-09-11 J. Ellis , S. Heinemeyer , K. A. Olive , G. Weiglein

We update a previously-proposed set of supersymmetric benchmark scenarios, taking into account the precise constraints on the cold dark matter density obtained by combining WMAP and other cosmological data, as well as the LEP and b -> s…

High Energy Physics - Phenomenology · Physics 2009-09-11 M. Battaglia , A. De Roeck , J. Ellis , F. Gianotti , K. A. Olive , L. Pape

As is well known, the search for and eventual identification of dark matter in supersymmetry requires a simultaneous, multi-pronged approach with important roles played by the LHC as well as both direct and indirect dark matter detection…

High Energy Physics - Phenomenology · Physics 2015-03-18 Matthew Cahill-Rowley , Randy Cotta , Alex Drlica-Wagner , Stefan Funk , JoAnne Hewett , Ahmed Ismail , Tom Rizzo , Matthew Wood

Large neural networks achieve state-of-the-art performance on many tasks, yet their sheer size hinders deployment on resource-constrained devices. Among existing compression approaches, cross-layer parameter sharing remains relatively…

Machine Learning · Computer Science 2026-05-26 Cem Üyük , Mike Lasby , Mohamed Yassin , Utku Evci , Yani Ioannou

We calculate the likelihood map in the full 7 dimensional parameter space of the minimal supersymmetric standard model (MSSM) assuming universal boundary conditions on the supersymmetry breaking terms. Simultaneous variations of m_0, A_0,…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. C. Allanach , C. G. Lester

For several decades now, Bayesian inference techniques have been applied to theories of particle physics, cosmology and astrophysics to obtain the probability density functions of their free parameters. In this study, we review and compare…

High Energy Physics - Phenomenology · Physics 2025-09-03 Joshua Albert , Csaba Balazs , Andrew Fowlie , Will Handley , Nicholas Hunt-Smith , Roberto Ruiz de Austri , Martin White

Supersymmetry searches are about to enter an important new era. With LEP 200 and the Main Injector, they will, for the first time, begin to probe significant regions of the supersymmetric parameter space. There is a real chance that…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jonathan A. Bagger

The ATLAS collaboration published supersymmetry limits based on up to about 4.7 \ifb data collected over the year 2011 from LHC runs at 7 TeV. These were mainly interpreted within restricted, particular or simplified models for…

High Energy Physics - Phenomenology · Physics 2013-06-12 Shehu S. AbdusSalam

The LHC has the potential not only to discover supersymmetry (SUSY), but also to permit fairly precise measurements of at least a portion of the sparticle spectrum. Proposed mass reconstruction methods rely upon either inverting invariant…

High Energy Physics - Phenomenology · Physics 2015-03-13 M. Bisset , N. Kersting , R. Lu

Extending the sensitivity to New Physics beyond the anticipated reach of the LHC is a prime aim of future colliders. This paper summarises the potential of an e+e- linear collider, at and beyond 1 TeV, using a realistic simulation of the…

High Energy Physics - Phenomenology · Physics 2009-09-25 M. Battaglia , S. De Curtis , D. Dominici , S. Riemann
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