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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

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

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

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

With increasing availability of high dimensional, multi-source data, the identification of joint and data specific patterns of variability has become a subject of interest in many research areas. Several matrix decomposition methods have…

Methodology · Statistics 2021-01-25 Erica Ponzi , Magne Thoresen , Abhik Ghosh

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

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

Multi-view data, that is matched sets of measurements on the same subjects, have become increasingly common with advances in multi-omics technology. Often, it is of interest to find associations between the views that are related to the…

Machine Learning · Statistics 2020-10-02 Yunfeng Zhang , Irina Gaynanova

Predictive modeling from high-dimensional genomic data is often preceded by a dimension reduction step, such as principal components analysis (PCA). However, the application of PCA is not straightforward for multi-source data, wherein…

Quantitative Methods · Quantitative Biology 2017-07-19 Adam Kaplan , Eric F. Lock

The increased availability of the multi-view data (data on the same samples from multiple sources) has led to strong interest in models based on low-rank matrix factorizations. These models represent each data view via shared and individual…

Machine Learning · Statistics 2021-04-01 Irina Gaynanova , Gen Li

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

Significant advances in biotechnology have allowed for simultaneous measurement of molecular data points across multiple genomic and transcriptomic levels from a single tumor/cancer sample. This has motivated systematic approaches to…

High dimensional data can contain multiple scales of variance. Analysis tools that preferentially operate at one scale can be ineffective at capturing all the information present in this cross-scale complexity. We propose a multiscale joint…

Machine Learning · Statistics 2022-03-15 Daniel Sousa , Christopher Small

In modern biomedical research, it is ubiquitous to have multiple data sets measured on the same set of samples from different views (i.e., multi-view data). For example, in genetic studies, multiple genomic data sets at different molecular…

Methodology · Statistics 2017-03-20 Gen Li , Sungkyu Jung

Revealing the clonal composition of a single tumor is essential for identifying cell subpopulations with metastatic potential in primary tumors or with resistance to therapies in metastatic tumors. Sequencing technologies provide an…

Genomics · Quantitative Biology 2014-02-07 Francesco Strino , Fabio Parisi , Mariann Micsinai , Yuval Kluger

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

We consider the problem of extracting joint and individual signals from multi-view data, that is data collected from different sources on matched samples. While existing methods for multi-view data decomposition explore single matching of…

Methodology · Statistics 2022-04-21 Dongbang Yuan , Irina Gaynanova

Feature and instance co-selection, which aims to reduce both feature dimensionality and sample size by identifying the most informative features and instances, has attracted considerable attention in recent years. However, when dealing with…

Machine Learning · Computer Science 2025-12-18 Yuxin Cai , Yanyong Huang , Jinyuan Chang , Dongjie Wang , Tianrui Li , Xiaoyi Jiang
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