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Related papers: Rejoinder to "Multivariate quantiles and multiple-…

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Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Berwin A. Turlach

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Robert A. Stine

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Saharon Rosset , Ji Zhu

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 David Madigan , Greg Ridgeway

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Jean-Michel Loubes , Pascal Massart

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Keith Knight

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Hemant Ishwaran

We consider the empirical versions of geometric quantile and halfspace depth, and study their extremal behaviour as a function of the sample size. The objective of this study is to establish connection between the rates of convergence and…

Statistics Theory · Mathematics 2024-02-06 Sibsankar Singha , Marie Kratz , Sreekar Vadlamani

The present review presents the authors previous results on the topic from the title in a new light. Most of the previous results were obtained using the techniques of antilinear Hilbert-Schmidt mappings of one Hilbert pace into another,…

Mathematical Physics · Physics 2014-10-21 Fedor Herbut

In this paper, we discuss a family of robust, high-dimensional regression models for quantile and composite quantile regression, both with and without an adaptive lasso penalty for variable selection. We reformulate these quantile…

Computation · Statistics 2020-06-29 Matthew Pietrosanu , Jueyu Gao , Linglong Kong , Bei Jiang , Di Niu

We present some new results on the cohomology of a large scope of SL\_2-groups in degrees above the virtual cohomological dimension; yielding some partial positive results for the Quillen conjecture in rank one. We combine these results…

K-Theory and Homology · Mathematics 2019-05-01 Alexander Rahm , Matthias Wendt

This is an invited short update of the topic covered by the review article, which aims to briefly survey progress made in theoretical and experimental studies of multidimensional solitons since the publication of the review. The Commentary…

Optics · Physics 2016-03-16 Boris A. Malomed , Dumitru Mihalache , Frank Wise , Lluis Torner

In this book the authors introduce the notion of DSm vector spaces of refined labels. They also realize the refined labels as a plane and a n-dimensional space. Further, using these refined labels, several algebraic structures are defined.…

General Mathematics · Mathematics 2011-12-05 W. B. Vasantha Kandasamy , Florentin Smarandache

Over the years data has become increasingly higher dimensional, which has prompted an increased need for dimension reduction techniques. This is perhaps especially true for clustering (unsupervised classification) as well as semi-supervised…

Methodology · Statistics 2018-10-02 Michael P. B. Gallaugher , Paul D. McNicholas

We prove a few representer theorems for a localised version of the regularised and multiview support vector machine learning problem introduced by H.Q. Minh, L. Bazzani, and V. Murino, Journal of Machine Learning Research, 17(2016) 1-72,…

Functional Analysis · Mathematics 2025-11-04 Aurelian Gheondea , Cankat Tilki

This paper considers the problem of robust subspace recovery: given a set of $N$ points in $\mathbb{R}^D$, if many lie in a $d$-dimensional subspace, then can we recover the underlying subspace? We show that Tyler's M-estimator can be used…

Machine Learning · Statistics 2021-04-30 Teng Zhang

This paper proposes a maximum-likelihood approach to jointly estimate marginal conditional quantiles of multivariate response variables in a linear regression framework. We consider a slight reparameterization of the Multivariate Asymmetric…

Methodology · Statistics 2018-08-06 Lea Petrella , Valentina Raponi

The aim of this paper is to introduce a method for computing Hilbert decompositions (and consequently the Hilbert depth) of a finitely generated multigraded module $M$ over the polynomial ring $K[X_1,..., X_n]$ by reducing the problem to…

Commutative Algebra · Mathematics 2013-10-22 Bogdan Ichim , Julio José Moyano-Fernández

This paper develops a framework for quantile regression in binary longitudinal data settings. A novel Markov chain Monte Carlo (MCMC) method is designed to fit the model and its computational efficiency is demonstrated in a simulation…

Econometrics · Economics 2019-09-16 Mohammad Arshad Rahman , Angela Vossmeyer

Discussion of "Cross-Covariance Functions for Multivariate Geostatistics" by Genton and Kleiber [arXiv:1507.08017].

Methodology · Statistics 2015-07-31 Daniel Simpson , Finn Lindgren , Håvard Rue
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