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Given well-shuffled data, can we determine whether the data items are statistically (in)dependent? Formally, we consider the problem of testing whether a set of exchangeable random variables are independent. We will show that this is…

统计理论 · 数学 2022-10-25 Marcus Hutter

Large-scale multiple testing tasks often exhibit dependence, and leveraging the dependence between individual tests is still one challenging and important problem in statistics. With recent advances in graphical models, it is feasible to…

统计方法学 · 统计学 2012-10-19 Jie Liu , Chunming Zhang , Catherine McCarty , Peggy Peissig , Elizabeth Burnside , David Page

In this paper, a robust non-parametric measure of statistical dependence, or correlation, between two random variables is presented. The proposed coefficient is a permutation-like statistic that quantifies how much the observed sample S_n :…

统计方法学 · 统计学 2020-07-27 Rami Mahdi

A univariate clustering criterion for stationary processes satisfying a $\beta$-mixing condition is proposed extending the work of \cite{KB2} to the dependent setup. The approach is characterized by an alternative sample criterion function…

统计理论 · 数学 2013-11-19 Karthik Bharath

We introduce an Integrative Ranking and Thresholding (IRT) framework for fusing evidence from multiple testing procedures. The key innovation is a method that transforms binary testing decisions into compound $e-$values, enabling the…

统计方法学 · 统计学 2025-09-04 Trambak Banerjee , Bowen Gang , Jianliang He

This paper proposes an adaptive random experiment design (ARED) algorithm that can be applied to optimize the multiple factors and levels experiments. The algorithm takes real-time model error as the adaptive condition, and outputs a model…

信号处理 · 电气工程与系统科学 2020-09-01 Zhou Qiao , Duan Xiaochang , Tang Wei

FRET experiments can yield state-specific structural information on complex dynamic biomolecular assemblies. However, FRET experiments need to be combined with computer simulations to overcome their sparsity. We introduce (i) an automated…

State-of-the-art NLP models can often be fooled by human-unaware transformations such as synonymous word substitution. For security reasons, it is of critical importance to develop models with certified robustness that can provably…

机器学习 · 计算机科学 2020-06-01 Mao Ye , Chengyue Gong , Qiang Liu

In this paper, our interest is in the problem of simultaneous hypothesis testing when the test statistics corresponding to the individual hypotheses are possibly correlated. Specifically, we consider the case when the test statistics…

统计理论 · 数学 2019-01-14 Anupam Kundu , Subir Kumar Bhandari

Heteroskedasticity poses several methodological challenges in designing valid and powerful procedures for simultaneous testing of composite null hypotheses. In particular, the conventional practice of standardizing or re-scaling…

统计方法学 · 统计学 2025-09-04 Bowen Gang , Trambak Banerjee

Statisticians have recently developed propensity score methods to improve generalizations from randomized experiments that do not employ random sampling. However, these methods typically rely on assumptions whose plausibility may be…

统计方法学 · 统计学 2019-11-14 Wendy Chan

Multi-source and multi-modal datasets are increasingly common in scientific research, yet they often exhibit block-wise missingness, where entire modalities are systematically absent in some sources or no single source contains all…

统计方法学 · 统计学 2026-02-10 Kejian Zhang , Muxuan Liang , Robert Maile , Doudou Zhou

Reliable inference for spatial regression remains challenging because it requires the correct specification of the spatial dependence structure, the mean trend, and the error distribution. Existing parametric testing methods rely on…

统计方法学 · 统计学 2026-05-12 Kanghyun Wi , Hyoeun Kim , Tomáš Mrkvička , Jorge Mateu , Jaewoo Park

In this article we prove a generalization of the Ejsmont characterization of the multivariate normal distribution. Based on it, we propose a new test for independence and normality. The test uses an integral of the squared modulus of the…

统计理论 · 数学 2023-05-30 Wiktor Ejsmont , Bojana Milošević , Marko Obradović

The simultaneous estimation of many parameters based on data collected from corresponding studies is a key research problem that has received renewed attention in the high-dimensional setting. Many practical situations involve heterogeneous…

统计方法学 · 统计学 2026-03-26 Trambak Banerjee , Luella J. Fu , Gareth M. James , Gourab Mukherjee , Wenguang Sun

Testing a global null is a canonical problem in statistics and has a wide range of applications. In view of the fact that no uniformly most powerful test exists, prior and/or domain knowledge are commonly used to focus on a certain class of…

统计方法学 · 统计学 2024-01-09 Yaowu Liu , Zhonghua Liu , Xihong Lin

Ensemble methods for classification and clustering have been effectively used for decades, while ensemble learning for outlier detection has only been studied recently. In this work, we design a new ensemble approach for outlier detection…

机器学习 · 计算机科学 2016-09-20 Shebuti Rayana , Wen Zhong , Leman Akoglu

Experiments with pre-trained models such as BERT are often based on a single checkpoint. While the conclusions drawn apply to the artifact tested in the experiment (i.e., the particular instance of the model), it is not always clear whether…

Randomization testing is a fundamental method in statistics, enabling inferential tasks such as testing for (conditional) independence of random variables, constructing confidence intervals in semiparametric location models, and…

统计方法学 · 统计学 2023-03-21 Yash Nair , Lucas Janson

Ensembling BERT models often significantly improves accuracy, but at the cost of significantly more computation and memory footprint. In this work, we propose Multi-CLS BERT, a novel ensembling method for CLS-based prediction tasks that is…

计算与语言 · 计算机科学 2023-05-23 Haw-Shiuan Chang , Ruei-Yao Sun , Kathryn Ricci , Andrew McCallum