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Related papers: The Mixing Matrix for a 3+2 Model

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Inspired by the many applications of mutually unbiased Hadamard matrices, we study mutually unbiased weighing matrices. These matrices are studied for small orders and weights in both the real and complex setting. Our results make use of…

Combinatorics · Mathematics 2013-08-01 Darcy Best , Hadi Kharaghani , Hugh Ramp

We propose two Type-II seesaw scenarios for the neutrino mass matrix in the left-right symmetric model, in which the Higgs triplet Yukawa coupling matrix takes the appealing Friedberg-Lee texture. We show that the nearly tri-bimaximal…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wei Chao , Shu Luo , Zhi-zhong Xing

A simple ansatz that is well-motivated by group-theoretical considerations is proposed in the context of the type III neutrino see-saw mechanism. It results in predictions for m_s/m_b and m_b/m_tau that relate these quantities to the masses…

High Energy Physics - Phenomenology · Physics 2011-05-12 S. M. Barr , Ilja Dorsner

When considering the problem of unmixing hyperspectral images, most of the literature in the geoscience and image processing areas relies on the widely used linear mixing model (LMM). However, the LMM may be not valid and other nonlinear…

Data Analysis, Statistics and Probability · Physics 2015-06-15 Nicolas Dobigeon , Jean-Yves Tourneret , Cédric Richard , José C. M. Bermudez , Stephen McLaughlin , Alfred O. Hero

A natural extension of the standard model to accommodate massive neutrinos is to introduce one Higgs triplet and three right-handed Majorana neutrinos, leading to a 6 \times6 neutrino mass matrix. We show that three light Majorana neutrinos…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wei Chao , Shu Luo , Zhi-zhong Xing , Shun Zhou

In view of the recent neutrino oscillation data pointing to a non-vanishing value for the smallest mixing angle ($\theta_z$), we derive and find explicit realizations of the $(Z_2)^3$ flavor symmetry which characterizes, for the neutrino…

High Energy Physics - Phenomenology · Physics 2013-05-30 E. I. Lashin , M. Abbas , N. Chamoun , S. Nasri

Discrete transformation for 3- waves problem is constructed in explicit form. Generalization of this system on the matrix case in three dimensional space together with corresponding discrete transformation is presented also.

Exactly Solvable and Integrable Systems · Physics 2015-06-26 A. N. Leznov , R. Torres-Cordoba

We present a method for the decomposition of mass spectra of mixture gases using Bayesian probability theory. The method works without any calibration measurement and therefore applies also to the analysis of spectra containing unstable…

Data Analysis, Statistics and Probability · Physics 2007-05-23 H. D. Kang , R. Preuss , T. Schwarz-Selinger , V. Dose

We introduce a copula mixture model to perform dependency-seeking clustering when co-occurring samples from different data sources are available. The model takes advantage of the great flexibility offered by the copulas framework to extend…

Methodology · Statistics 2012-07-03 Melanie Rey , Volker Roth

In the present study an oscillator system formed by a seesaw connected to a simple pendulum coupled to a mobile platform with a certain slope, is analyzed. The observed properties of the system when faced with a possible displacement of the…

We analyze the neutrino mass matrix entries and their correlations in a probabilistic fashion, constructing probability distribution functions using the latest results from neutrino oscillation fits. Two cases are considered: the standard…

High Energy Physics - Phenomenology · Physics 2015-06-12 E. Bertuzzo , P. A. N. Machado , R. Zukanovich Funchal

In spite of enormous experimental progress in determination of the neutrino parameters, theory of neutrino mass and mixing is still on the cross-roads. Guidelines could be (i) the connection between zero neutrino charges (and therefore a…

High Energy Physics - Phenomenology · Physics 2022-03-02 Alexei Yu. Smirnov

Existing oscillation data point to nonzero neutrino masses with large mixings. We analyze the generic features of the neutrino Majorana mass matrix with inverted hierarchy and construct realistic {\it minimal schemes} for the neutrino mass…

High Energy Physics - Phenomenology · Physics 2009-11-07 Duane A. Dicus , Hong-Jian He , John N. Ng

The paper introduces a methodology for visualizing on a dimension reduced subspace the classification structure and the geometric characteristics induced by an estimated Gaussian mixture model for discriminant analysis. In particular, we…

Methodology · Statistics 2015-08-10 Luca Scrucca

On the basis of a seesaw-type mass matrix model for quarks and leptons, $M_f \simeq m_L M_F^{-1} m_R$, where $m_L\propto m_R$ are universal for $f=u,d,\nu$ and $e$ (up-quark-, down-quark-, neutrino- and charged lepton-sectors), and $M_F$…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yoshio Koide

In the mixture models problem it is assumed that there are $K$ distributions $\theta_{1},\ldots,\theta_{K}$ and one gets to observe a sample from a mixture of these distributions with unknown coefficients. The goal is to associate instances…

Machine Learning · Statistics 2013-12-02 Jason D Lee , Ran Gilad-Bachrach , Rich Caruana

We consider the problem of characterizing upper-triangular matrices $M=\begin{pmatrix}p&r\\0&q\end{pmatrix}\in M_2(\mathbb Z)$ which can be represented in the form $A^2-B^2$ with upper-triangular integer matrices $A$ and $B$ and give a…

Number Theory · Mathematics 2026-05-12 Andrej Dujella , Zrinka Franušić

In this technical report we derive the analytic form of the Hessian matrix for shape matching energy. Shape matching is a useful technique for meshless deformation, which can be easily combined with multiple techniques in real-time…

Graphics · Computer Science 2020-03-17 Yun Fei

We present a brief review of the current status of neutrino mass and mixing parameters, based on a comprehensive phenomenological analysis of neutrino oscillation and non-oscillation searches, within the standard three-neutrino mixing…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. L. Fogli , E. Lisi , A. Marrone , A. Palazzo , A. M. Rotunno

In the mixture modeling frame, this paper presents the polynomial Gaussian cluster-weighted model (CWM). It extends the linear Gaussian CWM, for bivariate data, in a twofold way. Firstly, it allows for possible nonlinear dependencies in the…

Methodology · Statistics 2012-07-05 Antonio Punzo