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Recent results in coupled or temporal graphical models offer schemes for estimating the relationship structure between features when the data come from related (but distinct) longitudinal sources. A novel application of these ideas is for…

Machine Learning · Statistics 2017-11-22 Ronak Mehta , Hyunwoo J. Kim , Shulei Wang , Sterling C. Johnson , Ming Yuan , Vikas Singh

Simultaneous variable selection and statistical inference is challenging in high-dimensional data analysis. Most existing post-selection inference methods require explicitly specified regression models, which are often linear, as well as…

Methodology · Statistics 2026-03-19 Shangyuan Ye , Shauna Rakshe , Ye Liang

In this paper we have proposed a model for the distribution of allelic probabilities for generating populations as reliably as possible. Our objective was to develop such a model which would allow simulating allelic probabilities with…

The comparison of a parameter in $k$ populations is a classical problem in statistics. Testing for the equality of means or variances are typical examples. Most procedures designed to deal with this problem assume that $k$ is fixed and that…

Large-scale modern data often involves estimation and testing for high-dimensional unknown parameters. It is desirable to identify the sparse signals, ``the needles in the haystack'', with accuracy and false discovery control. However, the…

Machine Learning · Computer Science 2021-11-08 Junhui Cai , Xu Han , Ya'acov Ritov , Linda Zhao

We propose a new probabilistic characterization of the uniform distribution on the hypersphere in terms of the distribution of pairwise inner products, extending the ideas of \citep{cuesta2009projection,cuesta2007sharp} in a data-driven…

Statistics Theory · Mathematics 2026-04-14 Tiefeng Jiang , Tuan Pham

We propose a unified framework for adaptive connection sampling in graph neural networks (GNNs) that generalizes existing stochastic regularization methods for training GNNs. The proposed framework not only alleviates over-smoothing and…

More than any other species, humans form social ties to individuals who are neither kin nor mates, and these ties tend to be with similar people. Here, we show that this similarity extends to genotypes. Across the whole genome, friends'…

Genomics · Quantitative Biology 2014-12-05 Nicholas A. Christakis , James H. Fowler

Genotype-to-phenotype prediction is a central goal of statistical genetics, yet practical comparisons of prediction workflows remain limited in small, heterogeneous, participant-shared genomic datasets. Here, we benchmarked end-to-end…

Genomics · Quantitative Biology 2026-05-05 Muhammad Muneeb , David B. Ascher , YooChan Myung , Samuel F. Feng , Andreas Henschel

In shape-constrained nonparametric inference, it is often necessary to perform preliminary tests to verify whether a probability mass function (p.m.f.) satisfies qualitative constraints such as monotonicity, convexity, or in general…

Statistics Theory · Mathematics 2025-12-23 Fadoua Balabdaoui , Antonio Di Noia

Large-scale statistical analysis of data sets associated with genome sequences plays an important role in modern biology. A key component of such statistical analyses is the computation of $p$-values and confidence bounds for statistics…

Applications · Statistics 2011-01-06 Peter J. Bickel , Nathan Boley , James B. Brown , Haiyan Huang , Nancy R. Zhang

Despite the versatility of generalized linear mixed models in handling complex experimental designs, they often suffer from misspecification and convergence problems. This makes inference on the values of coefficients problematic. To…

Methodology · Statistics 2025-03-31 Angela Andreella , Jelle Goeman , Jesse Hemerik , Livio Finos

We show that the signal-processing paradigm known as compressed sensing (CS) is applicable to genome-wide association studies (GWAS) and genomic selection (GS). The aim of GWAS is to isolate trait-associated loci, whereas GS attempts to…

Genomics · Quantitative Biology 2014-05-13 Shashaank Vattikuti , James J. Lee , Christopher C. Chang , Stephen D. H. Hsu , Carson C. Chow

Categorical variables are of uttermost importance in biomedical research. When two of them are considered, it is often the case that one wants to test whether or not they are statistically dependent. We show weaknesses of classical methods…

We propose a new one-sample test for normality in a Reproducing Kernel Hilbert Space (RKHS). Namely, we test the null-hypothesis of belonging to a given family of Gaussian distributions. Hence our procedure may be applied either to test…

Statistics Theory · Mathematics 2015-07-13 Jérémie Kellner , Alain Celisse

The paramount importance of replicating associations is well recognized in the genome-wide associaton (GWA) research community, yet methods for assessing replicability of associations are scarce. Published GWA studies often combine…

Methodology · Statistics 2014-04-30 Ruth Heller , Daniel Yekutieli

While progress has been made in identifying common genetic variants associated with human diseases, for most of common complex diseases, the identified genetic variants only account for a small proportion of heritability. Challenges remain…

Applications · Statistics 2025-08-18 Olga A. Vsevolozhskaya , Dmitri V. Zaykin , Mark C. Greenwood , Changshuai Wei , Qing Lu

Nonparametric two sample or homogeneity testing is a decision theoretic problem that involves identifying differences between two random variables without making parametric assumptions about their underlying distributions. The literature is…

Statistics Theory · Mathematics 2015-10-14 Aaditya Ramdas , Nicolas Garcia , Marco Cuturi

Persistent homology is a vital tool for topological data analysis. Previous work has developed some statistical estimators for characteristics of collections of persistence diagrams. However, tools that provide statistical inference for…

Applications · Statistics 2016-02-23 Andrew Robinson , Katharine Turner

This R package evaluates main and pair-wise interaction effect of single nucleotide polymorphisms (SNPs) via the W-test, scalable to whole genome-wide data sets. The package provides fast and accurate p-value estimation of genetic markers,…

Computation · Statistics 2016-10-12 Rui Sun , Billy Chang , Benny Chung-Ying Zee , Maggie Haitian Wang
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