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We consider the problem of sparse variable selection on high dimension heterogeneous data sets, which has been taking on renewed interest recently due to the growth of biological and medical data sets with complex, non-i.i.d. structures and…

Methodology · Statistics 2024-04-22 Hui Liu , Xiang Liu , Jing Diao , Wenting Ye , Xueling Liu , Dehui Wei

Deep latent generative models have attracted increasing attention due to the capacity of combining the strengths of deep learning and probabilistic models in an elegant way. The data representations learned with the models are often…

Machine Learning · Computer Science 2023-04-04 Zhao Xu , Daniel Onoro Rubio , Giuseppe Serra , Mathias Niepert

Functional brain networks are well described and estimated from data with Gaussian Graphical Models (GGMs), e.g. using sparse inverse covariance estimators. Comparing functional connectivity of subjects in two populations calls for…

Machine Learning · Statistics 2016-11-21 Eugene Belilovsky , Gaël Varoquaux , Matthew B. Blaschko

Estimation of Gaussian graphical models is important in natural science when modeling the statistical relationships between variables in the form of a graph. The sparsity and clustering structure of the concentration matrix is enforced to…

Optimization and Control · Mathematics 2020-04-20 Meixia Lin , Defeng Sun , Kim-Chuan Toh , Chengjing Wang

Generalized linear mixed models (GLMMs) are a widely used tool in statistical analysis. The main bottleneck of many computational approaches lies in the inversion of the high dimensional precision matrices associated with the random…

Computation · Statistics 2025-10-08 Andrea Pandolfi , Omiros Papaspiliopoulos , Giacomo Zanella

Adaptation to local environments often occurs through natural selection acting on a large number of loci, each having a weak phenotypic effect. One way to detect these loci is to identify genetic polymorphisms that exhibit high correlation…

Populations and Evolution · Quantitative Biology 2015-03-20 Eric Frichot , Sean Schoville , Guillaume Bouchard , Olivier François

Disease phenotyping algorithms process observational clinical data to identify patients with specific diseases. Supervised phenotyping methods require significant quantities of expert-labeled data, while unsupervised methods may learn…

Machine Learning · Computer Science 2019-03-27 Victor Rodriguez , Adler Perotte

Clustering mixed data presents numerous challenges inherent to the very heterogeneous nature of the variables. A clustering algorithm should be able, despite of this heterogeneity, to extract discriminant pieces of information from the…

Machine Learning · Computer Science 2022-05-10 Robin Fuchs , Denys Pommeret , Cinzia Viroli

The integration of multi-omic data is pivotal for understanding complex diseases, but its high dimensionality and noise present significant challenges. Graph Neural Networks (GNNs) offer a robust framework for analyzing large-scale…

Quantitative Methods · Quantitative Biology 2024-12-23 Heming Zhang , Di Huang , Yixin Chen , Fuhai Li

We develop a framework to study posterior contraction rates in sparse high dimensional generalized linear models (GLM). We introduce a new family of GLMs, denoted by clipped GLM, which subsumes many standard GLMs and makes minor…

Statistics Theory · Mathematics 2021-03-16 Biraj Subhra Guha , Debdeep Pati

Understanding the interactions between biomarkers among brain regions during neurodegenerative disease is essential for unravelling the mechanisms underlying disease progression. For example, pathophysiological models of Alzheimer's Disease…

Artificial Intelligence · Computer Science 2025-11-17 Tiantian He , An Zhao , Elinor Thompson , Anna Schroder , Ahmed Abdulaal , Frederik Barkhof , Daniel C. Alexander

Time-series datasets are central in machine learning with applications in numerous fields of science and engineering, such as biomedicine, Earth observation, and network analysis. Extensive research exists on state-space models (SSMs),…

Machine Learning · Computer Science 2024-06-17 Emilie Chouzenoux , Victor Elvira

We introduce a statistical method that can reconstruct nonlinear genetic models (i.e., including epistasis, or gene-gene interactions) from phenotype-genotype (GWAS) data. The computational and data resource requirements are similar to…

Genomics · Quantitative Biology 2015-09-29 Chiu Man Ho , Stephen D. H. Hsu

Detecting anomalies in time series data is a critical task across many domains. The challenge intensifies when anomalies are sparse and the data are multivariate with relational dependencies across sensors or nodes. Traditional univariate…

Machine Learning · Computer Science 2025-03-06 Sneh Pillai

In recent years, powered by the learned discriminative representation via graph neural network (GNN) models, deep graph matching methods have made great progresses in the task of matching semantic features. However, these methods usually…

Computer Vision and Pattern Recognition · Computer Science 2021-11-18 He Liu , Tao Wang , Yidong Li , Congyan Lang , Yi Jin , Haibin Ling

Genetic association studies for brain connectivity phenotypes have gained prominence due to advances in non-invasive imaging techniques and quantitative genetics. Brain connectivity traits, characterized by network configurations and unique…

Methodology · Statistics 2023-05-17 Xinyuan Tian , Yiting Wang , Selena Wang , Yi Zhao , Yize Zhao

Explainable Graph Neural Networks (GNNs) have been developed and applied to drug-protein binding prediction to identify the key chemical structures in a drug that have active interactions with the target proteins. However, the key…

Biomolecules · Quantitative Biology 2023-09-25 Yang Wang , Zanyu Shi , Timothy Richardson , Kun Huang , Pathum Weerawarna , Yijie Wang

Sparse prediction with categorical data is challenging even for a moderate number of variables, because one parameter is roughly needed to encode one category or level. The Group Lasso is a well known efficient algorithm for selection…

Methodology · Statistics 2021-12-22 Szymon Nowakowski , Piotr Pokarowski , Wojciech Rejchel

Non-gaussian spatial data are very common in many disciplines. For instance, count data are common in disease mapping, and binary data are common in ecology. When fitting spatial regressions for such data, one needs to account for…

Methodology · Statistics 2010-12-01 John Hughes , Murali Haran

Genome-wide association studies (GWAS) have achieved great success in the genetic study of Alzheimer's disease (AD). Collaborative imaging genetics studies across different research institutions show the effectiveness of detecting genetic…

Machine Learning · Computer Science 2017-04-28 Qingyang Li , Dajiang Zhu , Jie Zhang , Derrek Paul Hibar , Neda Jahanshad , Yalin Wang , Jieping Ye , Paul M. Thompson , Jie Wang