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Efficient benchmarking techniques aim to lower the computational cost of evaluating LLMs by predicting full benchmark scores using only a subset of a benchmark's questions. By reframing this problem as an instance of multiple regression…

机器学习 · 统计学 2026-05-26 Sam Bowyer , Acyr Locatelli , Kris Cao

Administrative data, or non-probability sample data, are increasingly being used to obtain official statistics due to their many benefits over survey methods. In particular, they are less costly, provide a larger sample size, and are not…

统计方法学 · 统计学 2021-03-30 Asma Bahamyirou , Mireille E. Schnitzer

We consider one of the most basic multiple testing problems that compares expectations of multivariate data among several groups. As a test statistic, a conventional (approximate) $t$-statistic is considered, and we determine its rejection…

统计方法学 · 统计学 2016-12-20 Yoshiyuki Ninomiya , Satoshi Kuriki , Toshihiko Shiroishi , Toyoyuki Takada

Modeling data with multivariate count responses is a challenging problem due to the discrete nature of the responses. Existing methods for univariate count responses cannot be easily extended to the multivariate case since the dependency…

统计方法学 · 统计学 2016-08-15 Hao Wu , Xinwei Deng , Naren Ramakrishnan

When comparing multiple groups in clinical trials, we are not only interested in whether there is a difference between any groups but rather the location. Such research questions lead to testing multiple individual hypotheses. To control…

统计方法学 · 统计学 2025-01-08 Ina Dormuth , Carolin Herrmann , Frank Konietschke , Markus Pauly , Matthias Wirth , Marc Ditzhaus

With rapid advances in information technology, massive datasets are collected in all fields of science, such as biology, chemistry, and social science. Useful or meaningful information is extracted from these data often through statistical…

统计方法学 · 统计学 2021-09-22 Wenxuan Zhong , Yiwen Liu , Peng Zeng

Assigning significance in high-dimensional regression is challenging. Most computationally efficient selection algorithms cannot guard against inclusion of noise variables. Asymptotically valid p-values are not available. An exception is a…

统计方法学 · 统计学 2009-06-12 Nicolai Meinshausen , Lukas Meier , Peter Bühlmann

We determine the number of statistically significant factors in a forecast model using a random matrices test. The applied forecast model is of the type of Reduced Rank Regression (RRR), in particular, we chose a flavor which can be seen as…

统计金融 · 定量金融 2025-03-10 Andrés García Medina , Graciela González-Farías

This paper discusses estimation and limited information goodness-of-fit test statistics in factor models for binary data using pairwise likelihood estimation and sampling weights. The paper extends the applicability of pairwise likelihood…

统计方法学 · 统计学 2026-03-30 Haziq Jamil , Irini Moustaki , Chris Skinner

In recent years, sparse principal component analysis has emerged as an extremely popular dimension reduction technique for high-dimensional data. The theoretical challenge, in the simplest case, is to estimate the leading eigenvector of a…

统计理论 · 数学 2016-09-29 Tengyao Wang , Quentin Berthet , Richard J. Samworth

The objective of Bayesian inference is often to infer, from data, a probability measure for a random variable that can be used as input for Monte Carlo simulation. When datasets for Bayesian inference are small, a principle challenge is…

统计计算 · 统计学 2018-03-29 Jiaxin Zhang , Michael D. Shields

Recursive Monte Carlo filters, also called particle filters, are a powerful tool to perform computations in general state space models. We discuss and compare the accept--reject version with the more common sampling importance resampling…

统计理论 · 数学 2007-06-13 Hans R. Künsch

As datasets grow it becomes infeasible to process them completely with a desired model. For giant datasets, we frame the order in which computation is performed as a decision problem. The order is designed so that partial computations are…

统计计算 · 统计学 2014-03-18 Daniel John Lawson , Niall M Adams

For latent class models where the class weights depend on individual covariates, we derive a simple expression for computing the score vector and a convenient hybrid between the observed and the expected information matrices which is always…

统计计算 · 统计学 2015-11-13 Antonio Forcina

This work considers variational Bayesian inference as an inexpensive and scalable alternative to a fully Bayesian approach in the context of sparsity-promoting priors. In particular, the priors considered arise from scale mixtures of Normal…

统计计算 · 统计学 2022-11-01 Kody J. H. Law , Vitaly Zankin

In the context of sparse principal component detection, we bring evidence towards the existence of a statistical price to pay for computational efficiency. We measure the performance of a test by the smallest signal strength that it can…

统计理论 · 数学 2013-04-29 Quentin Berthet , Philippe Rigollet

Recent work has focused on the problem of conducting linear regression when the number of covariates is very large, potentially greater than the sample size. To facilitate this, one useful tool is to assume that the model can be well…

统计方法学 · 统计学 2011-11-21 Zhou Fang

The paper presents an investigation of estimating treatment effect using different matching methods. The study proposed a new method which is computationally efficient and convenient in implication-'largest caliper matching' and compared…

应用统计 · 统计学 2018-06-07 Sharif Mahmood

The case-cohort design is a commonly used cost-effective sampling strategy for large cohort studies, where some covariates are expensive to measure or obtain. In this paper, we consider regression analysis under a case-cohort study with…

统计方法学 · 统计学 2023-10-24 Qingning Zhou , Kin Yau Wong

Background: Identification of causal SNPs in most genome wide association studies relies on approaches that consider each SNP individually. However, there is a strong correlation structure among SNPs that need to be taken into account.…

应用统计 · 统计学 2012-11-02 Verena Zuber , A. Pedro Duarte Silva , Korbinian Strimmer