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One of the two basic theorems in [5] on the existence of solutions of PDEs is improved with the use of a group analysis type argument.

General Mathematics · Mathematics 2007-05-23 Elemer E Rosinger

We wish to contribute to the discussion of "Comparing Consensus Monte Carlo Strategies for Distributed Bayesian Computation" by offering our views on the current best methods for Bayesian computation, both at big-data scale and with smaller…

Computation · Statistics 2017-12-15 David Draper , Alexander Terenin

We extend results on Weierstrass semigroups at ramified points of double covering of curves to any numerical semigroup whose genus is large enough. As an application we strengthen the properties concerning Weierstrass weights in \cited{To}.

alg-geom · Mathematics 2008-02-03 Fernando Torres

Comment on ``The 2005 Neyman Lecture: Dynamic Indeterminism in Science'' [arXiv:0808.0620]

Methodology · Statistics 2008-08-06 Grace L. Yang

Comment on ``The 2005 Neyman Lecture: Dynamic Indeterminism in Science'' [arXiv:0808.0620]

Methodology · Statistics 2008-08-06 Hans R. Künsch

This manuscript serves as an online supplement of a preprint, which presents a study on a kind of bilayer networks where some nodes (called interconnecting nodes) in two layers merge. A model showing an important general property of the…

Physics and Society · Physics 2010-10-26 Yan-Qin Qu , Xiu-Lian Xu , Shan Guan , Kai-Jun Li , Si-Jun Pan , Chang-Gui Gu , Yu-Mei Jiang , Da-Ren He

This article is a discussion of Zanella and Roberts' paper: Multilevel linear models, gibbs samplers and multigrid decompositions. We consider several extensions in which the multigrid decomposition would bring us interesting insights,…

Computation · Statistics 2021-12-17 Xiaodong Yang , Jun S. Liu

Invited discussion on the paper "Hybrid Semiparametric Bayesian Networks" by David Atienza, Pedro Larranaga and Concha Bielza (TEST, 2022).

Methodology · Statistics 2022-11-16 Marco Scutari

The article is a continuation of the author's work "Linear quasigroups. I" and devoted to linear quasigroups and some of their generalizations. In the second part identities and linearity of quasigroups are investigated, in particular, the…

Group Theory · Mathematics 2011-03-01 Abdullo Tabarov

Computations in the cohomology of finite groups.

Algebraic Topology · Mathematics 2007-12-03 Ian J Leary

This is a supplement to the article "Markov Chain Monte Carlo Based on Deterministic Transformations" available at http://arxiv.org/abs/1106.5850

Computation · Statistics 2013-07-01 Somak Dutta , Sourabh Bhattacharya

Motivated by Breiman's rousing 2001 paper on the "two cultures" in statistics, we consider the role that different modeling approaches play in causal inference. We discuss the relationship between model complexity and causal…

Methodology · Statistics 2021-03-30 Matteo Bonvini , Alan Mishler , Edward H. Kennedy

Comment on ``Understanding OR, PS and DR'' [arXiv:0804.2958]

Methodology · Statistics 2008-12-18 Zhiqiang Tan

This article attempts to offer some perspectives on Bayesian inference for finite population quantities when the units in the population are assumed to exhibit complex dependencies. Beginning with an overview of Bayesian hierarchical…

Methodology · Statistics 2025-09-15 Sudipto Banerjee

Survey article on the geometry of spherical varieties. Invited survey for Transformation Groups.

Algebraic Geometry · Mathematics 2012-11-07 Nicolas Perrin

Considering the flexibility and applicability of Bayesian modeling, in this work we revise the main characteristics of two hierarchical models in a regression setting. We study the full probabilistic structure of the models along with the…

Methodology · Statistics 2021-10-22 Juan Sosa , Jeimy Aristizabal

This is a comment on two recent arXiv postings.

Mesoscale and Nanoscale Physics · Physics 2015-01-26 Supriyo Bandyopadhyay , Jayasimha Atulasimha

This is a comment being submitted to Physical Review Letters on a recent letter by Hellberg and Manousakis on stripes in the t-J model.

Strongly Correlated Electrons · Physics 2009-10-31 Steven R. White , D. J. Scalapino

Comment on "Quantifying the Fraction of Missing Information for Hypothesis Testing in Statistical and Genetic Studies" [arXiv:1102.2774]

Methodology · Statistics 2011-02-16 Tian Zheng , Shaw-Hwa Lo

Comment on "Quantifying the Fraction of Missing Information for Hypothesis Testing in Statistical and Genetic Studies" [arXiv:1102.2774]

Methodology · Statistics 2011-02-16 I-Shou Chang , Chung-Hsing Chen , Li-Chu Chien , Chao A. Hsiung