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We consider functional data which have only been observed on a subset of their domain. This paper aims to develop statistical tests to determine whether the function and the domain over which it is observed are independent. The assumption…

统计方法学 · 统计学 2025-12-04 Maximilian Ofner , Siegfried Hörmann , David Kraus , Dominik Liebl

Network data is a major object data type that has been widely collected or derived from common sources such as brain imaging. Such data contains numeric, topological, and geometrical information, and may be necessarily considered in certain…

统计方法学 · 统计学 2021-06-29 Han Feng , Xing Qiu , Hongyu Miao

Semi-supervised learning (SSL) approaches have been successfully applied in a wide range of engineering and scientific fields. This paper investigates the generative model framework with a missingness mechanism for unclassified…

机器学习 · 统计学 2024-01-01 Ziyang Lyu

We study the high-dimensional two-sample location problem under elliptical symmetry with arbitrary dependence in the scatter matrix. Existing spatial-sign procedures are attractive for heavy-tailed data, but their null calibration is tied…

统计方法学 · 统计学 2026-05-06 Long Feng , Hongfei Wang

Identifying dependency in multivariate data is a common inference task that arises in numerous applications. However, existing nonparametric independence tests typically require computation that scales at least quadratically with the sample…

统计方法学 · 统计学 2021-07-08 Shai Gorsky , Li Ma

This paper addresses the following general scenario: A scientist wishes to perform a battery of experiments, each generating a sequential stream of data, to investigate some phenomenon. The scientist would like to control the overall error…

统计方法学 · 统计学 2014-05-12 Jay Bartroff , Jinlin Song

Solving large tensor linear systems poses significant challenges due to the high volume of data stored, and it only becomes more challenging when some of the data is missing. Recently, Ma et al. showed that this problem can be tackled using…

数值分析 · 数学 2026-05-28 Anna Ma , Deanna Needell , Alexander Xue

The problem of testing changes in covariance has received increasing attention in recent years, especially in the context of high-dimensional testing. A number of approaches have been proposed, all limited to the two-sample problem and…

统计方法学 · 统计学 2016-09-06 Yi-Hui Zhou

Data objects taking value in a general metric space have become increasingly common in modern data analysis. In this paper, we study two important statistical inference problems, namely, two-sample testing and change-point detection, for…

统计方法学 · 统计学 2023-07-11 Feiyu Jiang , Changbo Zhu , Xiaofeng Shao

Score-based statistical models play an important role in modern machine learning, statistics, and signal processing. For hypothesis testing, a score-based hypothesis test is proposed in \cite{wu2022score}. We analyze the performance of this…

信号处理 · 电气工程与系统科学 2024-02-06 Enmao Diao , Taposh Banerjee , Vahid Tarokh

Cluster analysis is a fundamental research issue in statistics and machine learning. In many modern clustering methods, we need to determine whether two subsets of samples come from the same cluster. Since these subsets are usually…

机器学习 · 计算机科学 2025-07-15 Xinying Liu , Lianyu Hu , Mudi Jiang , Simeng Zhang , Jun Lou , Zengyou He

When data are missing due to at most one cause from some time to next time, we can make sampling distribution inferences about the parameter of the data by modeling the missing-data mechanism correctly. Proverbially, in case its mechanism…

统计方法学 · 统计学 2014-07-21 Kosuke Morikawa , Yutaka Kano

Inference and prediction under the sparsity assumption have been a hot research topic in recent years. However, in practice, the sparsity assumption is difficult to test, and more importantly can usually be violated. In this paper, to study…

统计理论 · 数学 2022-10-18 Yanmei Shi , Zhiruo Li , Qi Zhang

One central goal of design of observational studies is to embed non-experimental data into an approximate randomized controlled trial using statistical matching. Despite empirical researchers' best intention and effort to create…

统计方法学 · 统计学 2022-06-22 Kan Chen , Siyu Heng , Qi Long , Bo Zhang

A topological multiple testing scheme for one-dimensional domains is proposed where, rather than testing every spatial or temporal location for the presence of a signal, tests are performed only at the local maxima of the smoothed observed…

统计理论 · 数学 2012-03-15 Armin Schwartzman , Yulia Gavrilov , Robert J. Adler

Labelling data is a major practical bottleneck in training and testing classifiers. Given a collection of unlabelled data points, we address how to select which subset to label to best estimate test metrics such as accuracy, $F_1$ score or…

机器学习 · 计算机科学 2021-09-27 Emine Yilmaz , Peter Hayes , Raza Habib , Jordan Burgess , David Barber

We consider the problem of estimating the mean of a random variable Y subject to non-ignorable missingness, i.e., where the missingness mechanism depends on Y . We connect the auxiliary proxy variable framework for non-ignorable missingness…

统计方法学 · 统计学 2023-10-30 Andrew C. Miller , Joseph Futoma

The one-sample log-rank test is the method of choice for single-arm Phase II trials with time-to-event endpoint. It allows to compare the survival of the patients to a reference survival curve that typically represents the expected survival…

统计方法学 · 统计学 2026-03-02 Jannik Feld , Moritz Fabian Danzer , Andreas Faldum , Rene Schmidt

The most popular multiple testing procedures are stepwise procedures based on $P$-values for individual test statistics. Included among these are the false discovery rate (FDR) controlling procedures of Benjamini--Hochberg [J. Roy. Statist.…

统计理论 · 数学 2009-06-18 Arthur Cohen , Harold B. Sackrowitz , Minya Xu

We derive tests of stationarity for univariate time series by combining change-point tests sensitive to changes in the contemporary distribution with tests sensitive to changes in the serial dependence. The proposed approach relies on a…

统计方法学 · 统计学 2018-09-21 Axel Bücher , Jean-David Fermanian , Ivan Kojadinovic