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In high-dimensional data analysis, bi-level sparsity is often assumed when covariates function group-wisely and sparsity can appear either at the group level or within certain groups. In such cases, an ideal model should be able to…

Methodology · Statistics 2021-09-14 Bin Luo , Xiaoli Gao

We propose a novel and efficient iterative two-stage variable selection approach for multivariate sparse GLARMA models, which can be used for modelling multivariate discrete-valued time series. Our approach consists in iteratively combining…

Methodology · Statistics 2022-09-01 M. Gomtsyan , C. Lévy-Leduc , S. Ouadah , L. Sansonnet , C. Bailly , L. Rajjou

In microbiome studies, one of the ways of studying bacterial abundances is to estimate bacterial composition based on the sequencing read counts. Various transformations are then applied to such compositional data for downstream statistical…

Methodology · Statistics 2021-06-17 Yezheng Li , Hongzhe Li , Yuanpei Cao

In this paper we consider high-dimensional multiclass classification by sparse multinomial logistic regression. We propose first a feature selection procedure based on penalized maximum likelihood with a complexity penalty on the model size…

Statistics Theory · Mathematics 2020-11-20 Felix Abramovich , Vadim Grinshtein , Tomer Levy

Statistical inference in high-dimensional settings is challenging when standard unregularized methods are employed. In this work, we focus on the case of multiple correlated proportions for which we develop a Bayesian inference framework.…

Methodology · Statistics 2025-06-23 Max Westphal

With the availability of extraordinarily huge data sets, solving the problems of distributed statistical methodology and computing for such data sets has become increasingly crucial in the big data area. In this paper, we focus on the…

Machine Learning · Statistics 2023-10-24 Yue Chao , Lei Huang , Xuejun Ma

In multi-state models based on high-dimensional data, effective modeling strategies are required to determine an optimal, ideally parsimonious model. In particular, linking covariate effects across transitions is needed to conduct joint…

Methodology · Statistics 2024-11-27 Kaya Miah , Jelle J. Goeman , Hein Putter , Annette Kopp-Schneider , Axel Benner

Estimating the marginal and joint densities of the long-term average intakes of different dietary components is an important problem in nutritional epidemiology. Since these variables cannot be directly measured, data are usually collected…

Methodology · Statistics 2022-05-18 Abhra Sarkar

In this paper, we discuss the construction of a multivariate generalisation of the Dirichlet-multinomial distribution. An example from forensic genetics in the statistical analysis of DNA mixtures motivates the study of this multivariate…

Applications · Statistics 2014-11-05 Torben Tvedebrink , Poul Svante Eriksen , Niels Morling

Flexible regression methods where interest centres on the way that the whole distribution of a response vector changes with covariates are very useful in some applications. A recently developed technique in this regard uses the…

Computation · Statistics 2016-03-01 Meng Hwee Victor Ong , David J. Nott , Ajay Jasra

This paper proposes a sparse regression strategy for discovery of ordinary differential equations from incomplete and noisy data. Inference is performed over both equation parameters and state variables using a statistically motivated…

Dynamical Systems · Mathematics 2026-02-18 Teddy Meissner , Karl Glasner

High-dimensional compositional data arise naturally in many applications such as metagenomic data analysis. The observed data lie in a high-dimensional simplex, and conventional statistical methods often fail to produce sensible results due…

Methodology · Statistics 2016-01-19 Yuanpei Cao , Wei Lin , Hongzhe Li

Sequencing-based technologies provide an abundance of high-dimensional biological datasets with skewed and zero-inflated measurements. Classification of such data with linear discriminant analysis leads to poor performance due to the…

Methodology · Statistics 2022-08-09 Hee Cheol Chung , Yang Ni , Irina Gaynanova

The advent of high-throughput sequencing technologies has made data from DNA material readily available, leading to a surge of microbiome-related research establishing links between markers of microbiome health and specific outcomes.…

Methodology · Statistics 2018-06-19 Susheela P. Singh , Ana-Maria Staicu , Robert R. Dunn , Noah Fierer , Brian J. Reich

Graph-based machine learning methods are useful tools in the identification and prediction of variation in genetic data. In particular, the comprehension of phenotypic effects at the cellular level is an accelerating research area in…

Quantitative Methods · Quantitative Biology 2024-12-06 Nandini Gadhia , Michalis Smyrnakis , Po-Yu Liu , Damer Blake , Melanie Hay , Anh Nguyen , Dominic Richards , Dong Xia , Ritesh Krishna

Multivariate functional data from a complex system are naturally high-dimensional and have complex cross-correlation structure. The complexity of data structure can be observed as that (1) some functions are strongly correlated with similar…

Machine Learning · Statistics 2018-04-12 Chen Zhang , Hao Yan , Seungho Lee , Jianjun Shi

Motivation: The high dimensionality of genomic data calls for the development of specific classification methodologies, especially to prevent over-optimistic predictions. This challenge can be tackled by compression and variable selection,…

Methodology · Statistics 2021-04-10 G. Durif , L. Modolo , J. Michaelsson , J. E. Mold , S. Lambert-Lacroix , F. Picard

Variable selection and dimension reduction are two commonly adopted approaches for high-dimensional data analysis, but have traditionally been treated separately. Here we propose an integrated approach, called sparse gradient learning…

Machine Learning · Statistics 2010-07-02 Gui-Bo Ye , Xiaohui Xie

The covariate shift is a challenging problem in supervised learning that results from the discrepancy between the training and test distributions. An effective approach which recently drew a considerable attention in the research community…

Machine Learning · Computer Science 2013-11-27 Yun-Qian Miao , Ahmed K. Farahat , Mohamed S. Kamel

Radiogenomics is an emerging field in cancer research that combines medical imaging data with genomic data to predict patients clinical outcomes. In this paper, we propose a multivariate sparse group lasso joint model to integrate imaging…

Methodology · Statistics 2022-06-06 Tiantian Zeng , Md Selim , Jie Zhang , Arnold Stromberg , Jin Chen , Chi Wang