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Research in several fields now requires the analysis of data sets in which multiple high-dimensional types of data are available for a common set of objects. In particular, The Cancer Genome Atlas (TCGA) includes data from several diverse…

Machine Learning · Statistics 2013-05-29 Eric F. Lock , Katherine A. Hoadley , J. S. Marron , Andrew B. Nobel

Analyzing multi-source data, which are multiple views of data on the same subjects, has become increasingly common in molecular biomedical research. Recent methods have sought to uncover underlying structure and relationships within and/or…

Machine Learning · Statistics 2021-03-01 Elise F. Palzer , Christine Wendt , Russell Bowler , Craig P. Hersh , Sandra E. Safo , Eric F. Lock

Integrative data analysis often requires disentangling joint and individual variations across multiple datasets, a challenge commonly addressed by the Joint and Individual Variation Explained (JIVE) model. While numerous methods have been…

Machine Learning · Statistics 2025-02-18 Yuepeng Yang , Cong Ma

Integrative analysis of disparate data blocks measured on a common set of experimental subjects is one major challenge in modern data analysis. This data structure naturally motivates the simultaneous exploration of the joint and individual…

Methodology · Statistics 2016-04-26 Qing Feng , Jan Hannig , J. S. Marron

Integrative analysis of disparate data blocks measured on a common set of experimental subjects is a major challenge in modern data analysis. This data structure naturally motivates the simultaneous exploration of the joint and individual…

Machine Learning · Statistics 2018-03-20 Qing Feng , Meilei Jiang , Jan Hannig , J. S. Marron

Conventional multimodal data integration methods provide a comprehensive assessment of the shared or unique structure within each individual data type but suffer from several limitations such as the inability to handle high-dimensional data…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Matthew Drexler , Benjamin Risk , James J Lah , Suprateek Kundu , Deqiang Qiu

Collecting multiple types of data on the same set of subjects is common in modern scientific applications including, genomics, metabolomics, and neuroimaging. Joint and Individual Variance Explained (JIVE) seeks a low-rank approximation of…

Machine Learning · Statistics 2026-03-16 Raphiel J. Murden , Ganzhong Tian , Deqiang Qiu , Benajmin B. Risk

In the age of big data, data integration is a critical step especially in the understanding of how diverse data types work together and work separately. Among data integration methods, the Angle-Based Joint and Individual Variation…

Applications · Statistics 2022-12-06 Xi Yang , Katherine A. Hoadley , Jan Hannig , J. S. Marron

We focus on the problem of unsupervised cell outlier detection and repair in mixed-type tabular data. Traditional methods are concerned only with detecting which rows in the dataset are outliers. However, identifying which cells are…

Machine Learning · Computer Science 2020-03-05 Simão Eduardo , Alfredo Nazábal , Christopher K. I. Williams , Charles Sutton

Many modern datasets consist of multiple related matrices measured on a common set of units, where the goal is to recover the shared low-dimensional subspace. While the Angle-based Joint and Individual Variation Explained (AJIVE) framework…

Statistics Theory · Mathematics 2025-12-03 Jingyang Li , Zhongyuan Lyu

A key challenge in modern data analysis is understanding connections between complex and differing modalities of data. For example, two of the main approaches to the study of breast cancer are histopathology (analyzing visual…

When measuring a range of different genomic, epigenomic, transcriptomic and other variables, an integrative approach to analysis can strengthen inference and give new insights. This is also the case when clustering patient samples, and…

Methodology · Statistics 2014-11-03 Kristoffer Hellton , Magne Thoresen

Objective: Joint analysis of multi-subject brain imaging datasets has wide applications in biomedical engineering. In these datasets, some sources belong to all subjects (joint), a subset of subjects (partially-joint), or a single subject…

Machine Learning · Statistics 2020-01-01 Mansooreh Pakravan , Mohammad Bagher Shamsollahi

Analysis of multi-source dataset, where data on the same objects are collected from multiple sources, is of rising importance in many fields, most notably in multi-omics biology. A novel framework and algorithms for integrative…

Methodology · Statistics 2023-03-16 SeoWon Gabriel Choi , Sungkyu Jung

Parameter estimation of mixture regression model using the expectation maximization (EM) algorithm is highly sensitive to outliers. Here we propose a fast and efficient robust mixture regression algorithm, called Component-wise Adaptive…

Methodology · Statistics 2021-04-20 Wennan Chang , Xinyu Zhou , Yong Zang , Chi Zhang , Sha Cao

Repeated measures of biomarkers have the potential of explaining hazards of survival outcomes. In practice, these measurements are intermittently measured and are known to be subject to substantial measurement error. Joint modelling of…

Applications · Statistics 2019-12-12 Lisa McFetridge , Ozgur Asar , Jonas Wallin

Identification of differentially expressed genes (DE-genes) is commonly conducted in modern biomedical researches. However, unwanted variation inevitably arises during the data collection process, which could make the detection results…

Methodology · Statistics 2017-11-07 Hung Hung

Cellwise outliers are widespread in data and traditional robust methods may fail when applied to datasets under such contamination. We propose a variable selection procedure, that uses a pairwise robust estimator to obtain an initial…

Methodology · Statistics 2023-09-06 Peng Su , Garth Tarr , Samuel Muller

Jackknife instrumental variable estimation (JIVE) is a classic method to leverage many weak instrumental variables (IVs) to estimate linear structural models, overcoming the bias of standard methods like two-stage least squares. In this…

Statistics Theory · Mathematics 2024-10-08 Aurélien Bibaut , Nathan Kallus , Apoorva Lal

Suppose a given observation matrix can be decomposed as the sum of a low-rank matrix and a sparse matrix (outliers), and the goal is to recover these individual components from the observed sum. Such additive decompositions have…

Machine Learning · Statistics 2010-12-07 Daniel Hsu , Sham M. Kakade , Tong Zhang
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