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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

With the increasing availability of various sensor technologies, we now have access to large amounts of multi-block (also called multi-set, multi-relational, or multi-view) data that need to be jointly analyzed to explore their latent…

Computational Engineering, Finance, and Science · Computer Science 2015-09-01 Guoxu Zhou , Qibin Zhao , Yu Zhang , Tülay Adalı , Shengli Xie , Andrzej Cichocki

This article focuses on covariance estimation for multi-study data. Popular approaches employ factor-analytic terms with shared and study-specific loadings that decompose the variance into (i) a shared low-rank component, (ii)…

Methodology · Statistics 2026-01-26 Lorenzo Mauri , Niccolò Anceschi , David B. Dunson

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

An applied problem facing all areas of data science is harmonizing data sources. Joining data from multiple origins with unmapped and only partially overlapping features is a prerequisite to developing and testing robust, generalizable…

We propose a method called integrated diffusion for combining multimodal datasets, or data gathered via several different measurements on the same system, to create a joint data diffusion operator. As real world data suffers from both local…

Machine Learning · Computer Science 2022-03-07 Manik Kuchroo , Abhinav Godavarthi , Alexander Tong , Guy Wolf , Smita Krishnaswamy

We consider the problem of resolving closely spaced point sources in one dimension from their Fourier data in a bounded domain. Classical subspace methods (e.g., MUSIC algorithm, Matrix Pencil method, etc.) show great superiority in…

Signal Processing · Electrical Eng. & Systems 2022-04-04 Ping Liu , Hai Zhang

An important preprocessing step in most data analysis pipelines aims to extract a small set of sources that explain most of the data. Currently used algorithms for blind source separation (BSS), however, often fail to extract the desired…

Machine Learning · Statistics 2018-03-26 Alexander Böttcher , Wieland Brendel , Bernhard Englitz , Matthias Bethge

Data integration is the problem of combining multiple data groups (studies, cohorts) and/or multiple data views (variables, features). This task is becoming increasingly important in many disciplines due to the prevalence of large and…

Methodology · Statistics 2019-11-13 Jonatan Kallus , Patrik Johansson , Sven Nelander , Rebecka Jörnsten

In biomedical research and other fields, it is now common to generate high content data that are both multi-source and multi-way. Multi-source data are collected from different high-throughput technologies while multi-way data are collected…

Machine Learning · Statistics 2025-02-28 Zhiyu Kang , Raghavendra B. Rao , Eric F. Lock

Motivation: Modelling methods that find structure in data are necessary with the current large volumes of genomic data, and there have been various efforts to find subsets of genes exhibiting consistent patterns over subsets of treatments.…

Machine Learning · Computer Science 2016-09-15 Kerstin Bunte , Eemeli Leppäaho , Inka Saarinen , Samuel Kaski

Data for several applications in diverse fields can be represented as multiple matrices that are linked across rows or columns. This is particularly common in molecular biomedical research, in which multiple molecular "omics" technologies…

Machine Learning · Statistics 2024-08-02 Eric F. Lock

Link discovery is an active field of research to support data integration in the Web of Data. Due to the huge size and number of available data sources, efficient and effective link discovery is a very challenging task. Common pairwise link…

Databases · Computer Science 2017-08-31 Markus Nentwig , Anika Groß , Maximilian Möller , Erhard Rahm

High resolution microarrays and second-generation sequencing platforms are powerful tools to investigate genome-wide alterations in DNA copy number, methylation and gene expression associated with a disease. An integrated genomic profiling…

Applications · Statistics 2013-04-22 Ronglai Shen , Sijian Wang , Qianxing Mo

We introduce a novel class of factor analysis methodologies for the joint analysis of multiple studies. The goal is to separately identify and estimate 1) common factors shared across multiple studies, and 2) study-specific factors. We…

Applications · Statistics 2018-06-27 Roberta De Vito , Ruggero Bellio , Lorenzo Trippa , Giovanni Parmigiani

High-throughput omics profiling advancements have greatly enhanced cancer patient stratification. However, incomplete data in multi-omics integration presents a significant challenge, as traditional methods like sample exclusion or…

Genomics · Quantitative Biology 2024-01-17 Shihao Ma , Andy G. X. Zeng , Benjamin Haibe-Kains , Anna Goldenberg , John E Dick , Bo Wang

Advances in molecular "omics'" technologies have motivated new methodology for the integration of multiple sources of high-content biomedical data. However, most statistical methods for integrating multiple data matrices only consider data…

Machine Learning · Statistics 2020-02-10 Jun Young Park , Eric F. Lock

In multicenter biomedical research, integrating data from multiple decentralized sites provides more robust and generalizable findings due to its larger sample size and the ability to account for the between-site heterogeneity. However,…

Methodology · Statistics 2025-12-29 Xiaokang Liu , Yuchen Yang , Yifei Sun , Jiang Bian , Yanyuan Ma , Raymond J. Carroll , Yong Chen

In many areas of science multiple sets of data are collected pertaining to the same system. Examples are food products which are characterized by different sets of variables, bio-processes which are on-line sampled with different…

Matrix decomposition is one of the fundamental tools to discover knowledge from big data generated by modern applications. However, it is still inefficient or infeasible to process very big data using such a method in a single machine.…

Machine Learning · Computer Science 2020-02-11 Chihao Zhang , Yang Yang , Wei Zhang , Shihua Zhang
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