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Mutual information (MI) is a general measure of statistical dependence with widespread application across the sciences. However, estimating MI between multi-dimensional variables is challenging because the number of samples necessary to…

Quantitative Methods · Quantitative Biology 2025-03-06 Gokul Gowri , Xiao-Kang Lun , Allon M. Klein , Peng Yin

We study variance estimation and associated confidence intervals for parameters characterizing genetic effects from genome-wide association studies (GWAS) misspecified mixed model analysis. Previous studies have shown that, in spite of the…

Methodology · Statistics 2021-01-19 Cecilia Dao , Jiming Jiang , Debashis Paul , Hongyu Zhao

Genomic data arising from a genome-wide association study (GWAS) are often not only of large-scale, but also incomplete. A specific form of their incompleteness is missing values with non-ignorable missingness mechanism. The intrinsic…

Methodology · Statistics 2021-11-11 Siru Wang , Guoqi Qian

We study the problem of treatment effect estimation in randomized experiments with high-dimensional covariate information, and show that essentially any risk-consistent regression adjustment can be used to obtain efficient estimates of the…

Methodology · Statistics 2022-06-08 Stefan Wager , Wenfei Du , Jonathan Taylor , Robert Tibshirani

Existing research efforts for multi-interest candidate matching in recommender systems mainly focus on improving model architecture or incorporating additional information, neglecting the importance of training schemes. This work revisits…

Information Retrieval · Computer Science 2023-08-01 Yueqi Xie , Jingqi Gao , Peilin Zhou , Qichen Ye , Yining Hua , Jaeboum Kim , Fangzhao Wu , Sunghun Kim

We consider the application of a popular penalised regression method, Ridge Regression, to data with very high dimensions and many more covariates than observations. Our motivation is the problem of out-of-sample prediction and the setting…

Applications · Statistics 2012-05-04 Erika Cule , Maria De Iorio

Sparse regularized regression methods are now widely used in genome-wide association studies (GWAS) to address the multiple testing burden that limits discovery of potentially important predictors. Linear mixed models (LMMs) have become an…

Methodology · Statistics 2022-06-27 Julien St-Pierre , Karim Oualkacha , Sahir Rai Bhatnagar

Estimating mutual information between continuous random variables is often intractable and extremely challenging for high-dimensional data. Recent progress has leveraged neural networks to optimize variational lower bounds on mutual…

Machine Learning · Computer Science 2020-12-01 Ruizhi Liao , Daniel Moyer , Polina Golland , William M. Wells

Genome-wide association studies (GWAS) are used to identify relationships between genetic variations and specific traits. When applied to high-dimensional medical imaging data, a key step is to extract lower-dimensional, yet informative…

Quantitative Methods · Quantitative Biology 2023-09-28 Yaochen Xie , Ziqian Xie , Sheikh Muhammad Saiful Islam , Degui Zhi , Shuiwang Ji

Reproducibility in genome-wide association studies (GWAS) is crucial for ensuring reliable genomic research outcomes. However, limited access to original genomic datasets (mainly due to privacy concerns) prevents researchers from…

Genomics · Quantitative Biology 2024-11-19 Yuzhou Jiang , Erman Ayday

Genome-wide association studies (GWAS) have identified thousands of genetic variants associated with complex traits, and some variants are shown to be associated with multiple complex traits. Genetic covariance between two traits is defined…

Methodology · Statistics 2023-10-06 Jianqiao Wang , Sai Li , Hongzhe Li

Genome-wide association studies (GWAS) have identified hundreds of loci at very stringent levels of statistical significance across many different human traits. However, it is now clear that very large samples (n~10^4-10^5) are needed to…

Genomics · Quantitative Biology 2013-08-20 Inti Pedroso

When estimating a regression model, we might have data where some labels are missing, or our data might be biased by a selection mechanism. When the response or selection mechanism is ignorable (i.e., independent of the response variable…

Statistics Theory · Mathematics 2023-08-22 Philip Boeken , Noud de Kroon , Mathijs de Jong , Joris M. Mooij , Onno Zoeter

Population adjustment methods such as matching-adjusted indirect comparison (MAIC) are increasingly used to compare marginal treatment effects when there are cross-trial differences in effect modifiers and limited patient-level data. MAIC…

Methodology · Statistics 2022-05-12 Antonio Remiro-Azócar , Anna Heath , Gianluca Baio

We provide a view on high-dimensional statistical inference for genome-wide association studies (GWAS). It is in part a review but covers also new developments for meta analysis with multiple studies and novel software in terms of an…

Applications · Statistics 2020-02-17 Claude Renaux , Laura Buzdugan , Markus Kalisch , Peter Bühlmann

Penalized regression methods are an attractive tool for high-dimensional data analysis, but their widespread adoption has been hampered by the difficulty of applying inferential tools. In particular, the question "How reliable is the…

Statistics Theory · Mathematics 2026-05-13 Patrick Breheny

We study the problem of identifying change points in high-dimensional generalized linear models, and propose an approach based on sample-weighted empirical risk minimization. Our method, Weighted ERM, encodes priors on the change points via…

Methodology · Statistics 2026-04-14 Gabriel Arpino , Ramji Venkataramanan

In many applications, linear models fit the data poorly. This article studies an appealing alternative, the generalized regression model. This model only assumes that there exists an unknown monotonically increasing link function connecting…

Methodology · Statistics 2017-07-24 Fang Han , Hongkai Ji , Zhicheng Ji , Honglang Wang

In this work we address the problem of approximating high-dimensional data with a low-dimensional representation. We make the following contributions. We propose an inverse regression method which exchanges the roles of input and response,…

Machine Learning · Computer Science 2015-09-04 Antoine Deleforge , Florence Forbes , Radu Horaud

There are a variety of settings where vague prior information may be available on the importance of predictors in high-dimensional regression settings. Examples include ordering on the variables offered by their empirical variances (which…

Methodology · Statistics 2022-05-20 Benjamin G. Stokell , Rajen D. Shah
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