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This study investigates component wise estimation of ordered variances of scale mixture of two normal distributions. For this study two special loss functions are considered namely squared error loss function and entropy loss function. We…

Statistics Theory · Mathematics 2026-01-28 Shrajal Bajpai , Lakshmi Kanta Patra

We illustrate the relationship between spin networks and their dual representation by labelled triangulations of space in 2+1 and 3+1 dimensions. We apply this to the recent proposal for causal evolution of spin networks. The result is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Fotini Markopoulou

This paper introduces a novel data driven framework for constructing accurate and general equivariant models of multiscale phenomena which does not rely on specific assumptions about the underlying physics. This framework is illustrated…

Fluid Dynamics · Physics 2026-04-15 Brandon Choi , Matteo Ugliotti , Mateo Reynoso , Daniel R. Gurevich , Roman O. Grigoriev

Double parton scattering provides a sensitive probe of multi parton correlations inside hadrons. In this work we present a numerical study of unintegrated double parton distribution functions constructed from non-factorized collinear DPDFs.…

High Energy Physics - Phenomenology · Physics 2026-05-18 R. Kord Valeshabadi , S. Rezaie , K. Azizi

A recent line of ground-breaking results for permutation-based SGD has corroborated a widely observed phenomenon: random permutations offer faster convergence than with-replacement sampling. However, is random optimal? We show that this…

Machine Learning · Computer Science 2021-11-29 Shashank Rajput , Kangwook Lee , Dimitris Papailiopoulos

The evolution of dispersal rate is studied with a model of several local populations linked by dispersal. Three dispersal strategies are considered where all, half, or none of the offspring disperse. The spatial scale (number of patches)…

Populations and Evolution · Quantitative Biology 2019-03-12 Emmanuel Paradis

QCD factorization approach in the field-theoretic description of the semi-inclusive hadronic processes in the large Bjorken $x$ approximation implies extraction of the three-dimensional parton distribution functions as a convolution of a…

High Energy Physics - Phenomenology · Physics 2014-03-24 I. O. Cherednikov

In this study, we extend our previous global analysis of nuclear-modified transverse momentum distribution functions (nTMDs) to also consider the nuclear-modified collinear fragmentation function. Our methodology incorporates the global set…

High Energy Physics - Phenomenology · Physics 2023-12-15 Mishary Alrashed , Zhong-Bo Kang , John Terry , Hongxi Xing , Congyue Zhang

A methodology is presented for investigating the dynamics of heterogeneous media using the nonlocal continuum model given by the peridynamic formulation. The approach presented here provides the ability to model the macroscopic dynamics…

Analysis of PDEs · Mathematics 2010-04-27 Bacim Alali , Robert Lipton

Studies on distribution, abundance and diversity of species revealed fascinating universalities in macroecology. Many of these patterns, like the species-area and range-abundance relationship or the year-to-year fluctuations in population…

Populations and Evolution · Quantitative Biology 2007-05-23 M. Ravasz , A. Balog , V. Marko , Z. Neda

Transverse-momentum dependent parton distributions (TMDs) are studied in the framework of quark models. In particular, quark-model relations among TMDs are reviewed, elucidating their physical origin in terms of the quark-spin structure in…

High Energy Physics - Phenomenology · Physics 2011-09-13 C. Lorce , B. Pasquini

We study the transverse momentum distributions of single inclusive hadron production in ${e^ + }{e^ - }$ annihilation processes. Although the only available experimental data are scarce and quite old, we find that the fundamental features…

High Energy Physics - Phenomenology · Physics 2017-06-21 M. Boglione , J. O. Gonzalez-Hernandez , R. Taghavi

We analyze the transition between pulled and pushed fronts both analytically and numerically from a model-independent perspective. Based on minimal conceptual assumptions, we show that pushed fronts bifurcate from a branch of pulled fronts…

Analysis of PDEs · Mathematics 2022-06-22 Montie Avery , Matt Holzer , Arnd Scheel

It has been recently noticed that transverse momenta ($p_T$) distributions observed in high energy production processes exhibit remarkably universal scaling behavior. This is seen when they are in some suitable variable, replacing the usual…

High Energy Physics - Phenomenology · Physics 2015-04-03 M. Rybczynski , Z. Wlodarczyk , G. Wilk

The transverse momentum dependent parton distribution/fragmentation functions (TMDs) are essential in the factorization of a number of processes like Drell-Yan scattering, vector boson production, semi-inclusive deep inelastic scattering,…

High Energy Physics - Phenomenology · Physics 2018-06-05 Miguel G. Echevarria , Ignazio Scimemi , Alexey Vladimirov

Spin is a welcome complication in the study of partonic structure that has led to new insights, even if theoretically and experimentally not all dust has settled, in particular on quark flavor dependence and gluon spin. At the same time it…

High Energy Physics - Phenomenology · Physics 2015-08-19 P. J. Mulders

Two-sample hypothesis testing-determining whether two sets of data are drawn from the same distribution-is a fundamental problem in statistics and machine learning with broad scientific applications. In the context of nonparametric testing,…

Machine Learning · Statistics 2026-04-21 Antoine Chatalic , Marco Letizia , Nicolas Schreuder , Lorenzo Rosasco

We study the QCD evolution for the twist-three quark-gluon correlation functions associated with the transverse momentum odd quark distributions. Different from that for the leading twist quark distributions, these evolution equations…

High Energy Physics - Phenomenology · Physics 2009-07-09 Jian Zhou , Feng Yuan , Zuo-Tang Liang

We propose a re-formulation of the Einstein evolution equations that cleanly separates the conformal degrees of freedom and the non-conformal degrees of freedom with the latter satisfying a first order strongly hyperbolic system. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miguel Alcubierre , Bernd Brugmann , Mark Miller , Wai-Mo Suen

The ghost-free theory of massive gravity with two dynamical metrics has been shown to produce viable cosmological expansion, where the late-time acceleration of the Universe is due to the finite range of the gravitational interaction rather…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-29 Adam R. Solomon , Yashar Akrami , Tomi S. Koivisto
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