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We propose a simple single-step multiple testing procedure that asymptotically controls the family-wise error rate (FWER) at the desired level exactly under the equicorrelated multivariate Gaussian setup. The method is shown to be…

统计理论 · 数学 2025-08-14 Swarnadeep Datta , Monitirtha Dey

The closure principle is a standard tool for achieving strong family-wise error rate (FWER) control in multiple testing problems. We develop an e-value-based closed testing framework that inherits nice properties of e-values, which are…

统计方法学 · 统计学 2026-05-19 Will Hartog , Lihua Lei

The theory of boosting provides a computational framework for aggregating approximate weak learning algorithms, which perform marginally better than a random predictor, into an accurate strong learner. In the realizable case, the success of…

机器学习 · 计算机科学 2024-11-01 Udaya Ghai , Karan Singh

Block maxima methods constitute a fundamental part of the statistical toolbox in extreme value analysis. However, most of the corresponding theory is derived under the simplifying assumption that block maxima are independent observations…

统计理论 · 数学 2019-07-24 Nan Zou , Stanislav Volgushev , Axel Bücher

Augmented block designs for unreplicated test treatments are investigated under the A- and MV-criteria with respect to control versus control, test versus test and control versus test comparisons. We derive design-independent lower bounds…

统计理论 · 数学 2023-10-31 Rahul Mukerjee

Multiple-group data is widely used in genomic studies, finance, and social science. This study investigates a block structure that consists of covariate and response groups. It examines the block-selection problem of high-dimensional models…

统计方法学 · 统计学 2024-12-30 Weixiong Liang , Yuehan Yang

Large language models (LLMs) demand extensive memory capacity during both fine-tuning and inference. To enable memory-efficient fine-tuning, existing methods apply block-wise quantization techniques, such as NF4 and AF4, to the network…

机器学习 · 计算机科学 2025-05-13 Patrick Blumenberg , Thomas Graave , Tim Fingscheidt

Proof of Stake (PoS) protocols rely on voting mechanisms to reach consensus on the current state. If an enhanced majority of staking nodes, also called validators, agree on a proposed block, then this block is appended to the blockchain.…

计算机科学与博弈论 · 计算机科学 2021-07-20 Stefanos Leonardos , Daniel Reijsbergen , Georgios Piliouras

Abc-boost is a new line of boosting algorithms for multi-class classification, by utilizing the commonly used sum-to-zero constraint. To implement abc-boost, a base class must be identified at each boosting step. Prior studies used a very…

机器学习 · 计算机科学 2010-06-28 Ping Li

Gradient boosting methods based on Structured Categorical Decision Trees (SCDT) have been demonstrated to outperform numerical and one-hot-encodings on problems where the categorical variable has a known underlying structure. However, the…

机器学习 · 统计学 2020-07-10 Brian Lucena

This paper studies the optimal transmission switching (OTS) problem for power systems, where certain lines are fixed (uncontrollable) and the remaining ones are controllable via on/off switches. The goal is to identify a topology of the…

最优化与控制 · 数学 2017-11-29 Salar Fattahi , Javad Lavaei , Alper Atamturk

Consider the problem of simultaneously testing null hypotheses H_1,...,H_s. The usual approach to dealing with the multiplicity problem is to restrict attention to procedures that control the familywise error rate (FWER), the probability of…

统计理论 · 数学 2007-06-13 E. L. Lehmann , Joseph P. Romano

This paper explores the voltage regulation challenges in boost converter systems, which are critical components in power electronics due to their ability to step up voltage levels efficiently. The proposed control algorithm ensures…

系统与控制 · 电气工程与系统科学 2025-08-12 Yiwei Liu , Ziming Wang , Xin Wang , Yiding Ji

The problem of multiple hypothesis testing arises when there are more than one hypothesis to be tested simultaneously for statistical significance. This is a very common situation in many data mining applications. For instance, assessing…

机器学习 · 统计学 2009-06-30 Sami Hanhijärvi , Kai Puolamäki , Gemma C. Garriga

In order to improve the fault diagnosis capability of multivariate statistical methods, this article introduces a fault isolation framework based on structured sparsity modeling. The developed method relies on the reconstruction based…

应用统计 · 统计学 2020-12-22 Wei Chen , Jiusun Zeng , Xiaobin Xu , Shihua Luo , Chuanhou Gao

Speculative decoding is an effective method for lossless acceleration of large language models during inference. It uses a fast model to draft a block of tokens which are then verified in parallel by the target model, and provides a…

Often in multiple testing, the hypotheses appear in non-overlapping blocks with the associated $p$-values exhibiting dependence within but not between blocks. We consider adapting the Benjamini-Hochberg method for controlling the false…

统计方法学 · 统计学 2016-11-11 Wenge Guo , Sanat Sarkar

The stochastic block model is widely used for detecting community structures in network data. How to test the goodness-of-fit of the model is one of the fundamental problems and has gained growing interests in recent years. In this article,…

统计方法学 · 统计学 2019-08-27 Jianwei Hu , Jingfei Zhang , Hong Qin , Ting Yan , Ji Zhu

Test statistics are often strongly dependent in large-scale multiple testing applications. Most corrections for multiplicity are unduly conservative for correlated test statistics, resulting in a loss of power to detect true positives. We…

统计理论 · 数学 2012-03-20 Nicolai Meinshausen , Marloes H. Maathuis , Peter Bühlmann

The mixed-membership stochastic block model (MMSBM) is a common model for social networks. Given an $n$-node symmetric network generated from a $K$-community MMSBM, we would like to test $K=1$ versus $K>1$. We first study the degree-based…

统计理论 · 数学 2022-04-26 Louis Cammarata , Zheng Tracy Ke