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The problem of matrix sensing, or trace regression, is a problem wherein one wishes to estimate a low-rank matrix from linear measurements perturbed with noise. A number of existing works have studied both convex and nonconvex approaches to…

统计理论 · 数学 2025-06-26 Joshua Agterberg , René Vidal

Testing for the significance of a subset of regression coefficients in a linear model, a staple of statistical analysis, goes back at least to the work of Fisher who introduced the analysis of variance (ANOVA). We study this problem under…

统计理论 · 数学 2012-02-24 Ery Arias-Castro , Emmanuel J. Candès , Yaniv Plan

In this paper, we investigate the adequacy testing problem of high-dimensional factor-augmented regression model. Existing test procedures perform not well under dense alternatives. To address this critical issue, we introduce a novel…

统计方法学 · 统计学 2025-04-04 Yanmei Shi , Leheng Cai , Xu Guo , Shurong Zheng

We consider semiparametric location-scatter models for which the $p$-variate observation is obtained as $X=\Lambda Z+\mu$, where $\mu$ is a $p$-vector, $\Lambda$ is a full-rank $p\times p$ matrix and the (unobserved) random $p$-vector $Z$…

统计理论 · 数学 2012-02-24 Pauliina Ilmonen , Davy Paindaveine

The development of data acquisition systems is facilitating the collection of data that are apt to be modelled as functional data. In some applications, the interest lies in the identification of significant differences in group functional…

In this paper we tackle the ANOVA problem for directional data (with particular emphasis on geological data) by having recourse to the Le Cam methodology usually reserved for linear multivariate analysis. We construct locally and…

统计理论 · 数学 2012-12-07 Christophe Ley , Yvik Swan , Thomas Verdebout

Kernel-based hypothesis tests offer a flexible, non-parametric tool to detect high-order interactions in multivariate data, beyond pairwise relationships. Yet the scalability of such tests is limited by the computationally demanding…

统计方法学 · 统计学 2025-06-09 Zhaolu Liu , Robert L. Peach , Mauricio Barahona

Based on recent progress in research on copula based dependence measures, we review the original Renyi's axioms on symmetric measures and propose a new set of axioms that applies to nonsymmetric measures. We show that nonsymmetric measures…

统计方法学 · 统计学 2015-02-16 Hui Li

As saturated output observations are ubiquitous in practice, identifying stochastic systems with such nonlinear observations is a fundamental problem across various fields. This paper investigates the asymptotically efficient identification…

机器学习 · 计算机科学 2025-04-07 Lantian Zhang , Lei Guo

Covariate adjustment is an important tool in the analysis of randomized clinical trials and observational studies. It can be used to increase efficiency and thus power, and to reduce possible bias. While most statistical tests in randomized…

统计方法学 · 统计学 2011-08-03 Xiaoru Wu , Zhiliang Ying

(Rephrased) Non-conformance decision-making processes in high-precision manufacturing of engineering structures are often delayed due to numerical simulations that are needed for analyzing the defective parts and assemblies. Interfaces…

数值分析 · 数学 2024-05-31 Kiran Sagar Kollepara

The paper deals with asymptotic properties of the adaptive procedure proposed in the author paper, 2007, for estimating a unknown nonparametric regression. We prove that this procedure is asymptotically efficient for a quadratic risk, i.e.…

统计理论 · 数学 2008-10-08 Leonid Galtchouk , Serguey Pergamenshchikov

Nonparametric two-sample testing is a classical problem in inferential statistics. While modern two-sample tests, such as the edge count test and its variants, can handle multivariate and non-Euclidean data, contemporary gargantuan datasets…

统计方法学 · 统计学 2023-04-28 Trambak Banerjee , Bhaswar B. Bhattacharya , Gourab Mukherjee

The goal of this paper is to provide some tools for nonparametric estimation and inference in psychological and economic experiments. We consider an experimental framework in which each of $n$subjects provides $T$ responses to a vector of…

计量经济学 · 经济学 2019-12-10 Raffaello Seri , Samuele Centorrino , Michele Bernasconi

We argue that randomized controlled trials (RCTs) are special even among settings where average treatment effects are identified by a nonparametric unconfoundedness assumption. This claim follows from two results of Robins and Ritov (1997):…

统计方法学 · 统计学 2021-09-28 P. M. Aronow , James M. Robins , Theo Saarinen , Fredrik Sävje , Jasjeet Sekhon

Markov parameters play a key role in system identification. There exists many algorithms where these parameters are estimated using least-squares in a first, pre-processing, step, including subspace identification and multi-step…

系统与控制 · 电气工程与系统科学 2024-05-08 Jiabao He , Cristian R. Rojas , Håkan Hjalmarsson

The two-sample problem for Cronbach's coefficient $\alpha_C$, as an estimate of test or composite score reliability, has attracted little attention, compared to the extensive treatment of the one-sample case. It is necessary to compare the…

统计理论 · 数学 2017-06-20 Markus Pauly , Maria Umlauft , Ali Ünlü

We consider the problem of detecting sparse heterogeneous mixtures from a nonparametric perspective, and develop distribution-free tests when all effects have the same sign. Specifically, we assume that the null distribution is symmetric…

统计理论 · 数学 2013-11-18 Ery Arias-Castro , Meng Wang

Nonparametric control charts that can detect arbitrary distributional changes are highly desirable due to their flexibility to adapt to different distributional assumptions and distributional changes. However, most of such control charts in…

统计方法学 · 统计学 2017-12-15 Jun Li

We discuss the possible implications of physics beyond the standard model in the neutrino sector applying non-standard interaction. Recently, the NOvA and T2K neutrino experiments have announced their measurements for the CP violating…

高能物理 - 唯象学 · 物理学 2025-04-01 Anjan Giri