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This is a contribution for the discussion on "A Gibbs sampler for a class of random convex polytopes" by Pierre E. Jacob, Ruobin Gong, Paul T. Edlefsen and Arthur P. Dempster to appear in the Journal of American Statistical Association.

Computation · Statistics 2021-04-16 Persi Diaconis , Guanyang Wang

These lecture notes provide an overview of existing methodologies and recent developments for estimation and inference with high dimensional time series regression models. First, we present main limit theory results for high dimensional…

Econometrics · Economics 2023-09-01 Christis Katsouris

This paper develops new tools to quantify uncertainty in optimal decision making and to gain insight into which variables one should collect information about given the potential cost of measuring a large number of variables. We investigate…

Methodology · Statistics 2021-05-11 Yunan Wu , Lan Wang , Haoda Fu

Existing works on large language model (LLM) decomposition mainly focus on improving performance on downstream tasks, but they ignore the poor parallel inference performance when trying to scale up the model size. To mitigate this important…

Computation and Language · Computer Science 2026-04-21 You-Liang Huang , Xinhao Huang , Chengxi Liao , Zeyi Wen

The quest for simplification in physics drives the exploration of concise mathematical representations for complex systems. This Dissertation focuses on the concept of dimensionality reduction as a means to obtain low-dimensional…

Machine Learning · Computer Science 2024-10-31 Eslam Abdelaleem

I show that the conclusions of [Hwang, Chavez, Amann, & Boccaletti, PRL 94, 138701 (2005); Chavez, Hwang, Amann, Hentschel, & Boccaletti, PRL 94, 218701 (2005)] are closely related to those of previous publications.

Disordered Systems and Neural Networks · Physics 2007-05-23 Manuel A. Matias

Reply to the Comment on "Unified Formulism of Andreev Reflection at a Ferromagnetic/Superconductor Interface" by Eschrig et al

Superconductivity · Physics 2013-02-12 T. Y. Chen , C. L. Chien

We develop and implement a novel fast bootstrap for dependent data. Our scheme is based on the i.i.d. resampling of the smoothed moment indicators. We characterize the class of parametric and semi-parametric estimation problems for which…

Methodology · Statistics 2022-01-19 Davide La Vecchia , Alban Moor , Olivier Scaillet

Rejoinder to ``Equi-energy sampler with applications in statistical inference and statistical mechanics'' by Kou, Zhou and Wong [math.ST/0507080]

Statistics Theory · Mathematics 2007-06-13 S. C. Kou , Qing Zhou , Wing H. Wong

We give a definition of higher dimensional iterated integrals based on integration over membranes. We prove basic properties of this definition and formulate a conjecture which extends Chen's de Rham Theorem for iterated integrals to the…

Differential Geometry · Mathematics 2012-03-19 Anton Deitmar , Ivan Horozov

In the high-dimensional landscape, addressing the challenges of covariance regression with high-dimensional covariates has posed difficulties for conventional methodologies. This paper addresses these hurdles by presenting a novel approach…

Methodology · Statistics 2024-04-11 Yuheng He , Changliang Zou , Yi Zhao

Let $X_1, \ldots, X_n\in\mathbb{R}^p$ be i.i.d. random vectors. We aim to perform simultaneous inference for the mean vector $\mathbb{E} (X_i)$ with finite polynomial moments and an ultra high dimension. Our approach is based on the…

Statistics Theory · Mathematics 2017-04-18 Zhipeng Lou , Wei Biao Wu

In this article we develop a method for performing post hoc inference of the False Discovery Proportion (FDP) over multiple contrasts of interest in the multivariate linear model. To do so we use the bootstrap to simulate from the…

Methodology · Statistics 2022-09-21 Samuel Davenport , Bertrand Thirion , Pierre Neuvial

Comment on "Approaching human language with complex networks" by Cong & Liu

Computation and Language · Computer Science 2020-09-24 Ramon Ferrer-i-Cancho

High-dimensional data often arise from clinical genomics research to infer relevant predictors of a particular trait. A way to improve the predictive performance is to include information on the predictors derived from prior knowledge or…

Methodology · Statistics 2023-03-13 Claudio Busatto , Mark van de Wiel

This is a comment on the preprint arXiv:1809.07771v2 by W. Ji and X.-G. Wen.

Strongly Correlated Electrons · Physics 2018-11-06 A. M. Tsvelik

This is a comment on the paper arXiv:1410.2840 by Ji and Jin, to appear in the AOAS.

Applications · Statistics 2016-08-25 Vishesh Karwa , Sonja Petrović

Efron [J. Roy. Statist. Soc. Ser. B 54 (1992) 83--111] proposed a computationally efficient method, called the jackknife-after-bootstrap, for estimating the variance of a bootstrap estimator for independent data. For dependent data, a…

Statistics Theory · Mathematics 2007-06-13 S. N. Lahiri

Reply to the comment by L. Kofman, A. Linde and A.A. Starobinsky (hep-ph/9608341) to our article ``Analytic and Numerical Study of Preheating Dynamics'' (hep-ph/9608205).

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boyanovsky , H. J. de Vega , R. Holman

We comment on the recent paper by Balog and Niedermaier [hep-th/9701156].

High Energy Physics - Theory · Physics 2009-10-30 A. Patrascioiu , E. Seiler