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Canonical correlation analysis is a classical technique for exploring the relationship between two sets of variables. It has important applications in analyzing high dimensional datasets originated from genomics, imaging and other fields.…

统计方法学 · 统计学 2016-04-05 Chao Gao , Zongming Ma , Harrison H. Zhou

Canonical correlation analysis (CCA) is a multivariate statistical method which describes the associations between two sets of variables. The objective is to find linear combinations of the variables in each data set having maximal…

统计方法学 · 统计学 2015-01-07 Ines Wilms , Christophe Croux

It can be challenging to perform an integrative statistical analysis of multi-view high-dimensional data acquired from different experiments on each subject who participated in a joint study. Canonical Correlation Analysis (CCA) is a…

统计方法学 · 统计学 2023-10-31 Siddhesh Kulkarni , Subhadip Pal , Jeremy T. Gaskins

We consider the problem of sparse canonical correlation analysis (CCA), i.e., the search for two linear combinations, one for each multivariate, that yield maximum correlation using a specified number of variables. We propose an efficient…

统计计算 · 统计学 2008-01-18 Ami Wiesel , Mark Kliger , Alfred O. Hero

Canonical correlation analysis (CCA) is a fundamental statistical tool for exploring the correlation structure between two sets of random variables. In this paper, motivated by recent success of applying CCA to learn low dimensional…

统计理论 · 数学 2018-01-23 Zhuang Ma , Xiaodong Li

Canonical correlation analysis (CCA) describes the associations between two sets of variables by maximizing the correlation between linear combinations of the variables in each data set. However, in high-dimensional settings where the…

统计方法学 · 统计学 2015-01-07 Ines Wilms , Christophe Croux

Canonical correlation analysis is a widely used multivariate statistical technique for exploring the relation between two sets of variables. This paper considers the problem of estimating the leading canonical correlation directions in…

统计理论 · 数学 2015-10-16 Chao Gao , Zongming Ma , Zhao Ren , Harrison H. Zhou

Canonical correlation analysis (CCA) is a classical and important multivariate technique for exploring the relationship between two sets of continuous variables. CCA has applications in many fields, such as genomics and neuroimaging. It can…

统计方法学 · 统计学 2020-05-12 Lin Qiu , Vernon M. Chinchilli

Canonical correlation analysis (CCA) is a multivariate statistical technique for finding the linear relationship between two sets of variables. The kernel generalization of CCA named kernel CCA has been proposed to find nonlinear relations…

机器学习 · 统计学 2017-01-17 Xiaowei Zhang , Delin Chu , Li-Zhi Liao , Michael K. Ng

The classical Canonical Correlation Analysis (CCA) identifies the correlations between two sets of multivariate variables based on their covariance, which has been widely applied in diverse fields such as computer vision, natural language…

最优化与控制 · 数学 2024-01-02 Yongchun Li , Santanu S. Dey , Weijun Xie

A new approach to the sparse Canonical Correlation Analysis (sCCA)is proposed with the aim of discovering interpretable associations in very high-dimensional multi-view, i.e.observations of multiple sets of variables on the same subjects,…

机器学习 · 统计学 2019-09-18 Omid S. Solari , James B. Brown , Peter J. Bickel

Canonical correlation analysis investigates linear relationships between two sets of variables, but often works poorly on modern data sets due to high-dimensionality and mixed data types such as continuous, binary and zero-inflated. To…

统计方法学 · 统计学 2021-04-01 Grace Yoon , Raymond J. Carroll , Irina Gaynanova

In clinical and biomedical research, multiple high-dimensional datasets are nowadays routinely collected from omics and imaging devices. Multivariate methods, such as Canonical Correlation Analysis (CCA), integrate two (or more) datasets to…

统计方法学 · 统计学 2025-03-20 Nuria Senar , Mark van de Wiel , Aeilko Zwinderman , Michel Hof

Given two sets of variables, derived from a common set of samples, sparse Canonical Correlation Analysis (CCA) seeks linear combinations of a small number of variables in each set, such that the induced canonical variables are maximally…

Classical canonical correlation analysis (CCA) requires matrices to be low dimensional, i.e. the number of features cannot exceed the sample size. Recent developments in CCA have mainly focused on the high-dimensional setting, where the…

统计方法学 · 统计学 2021-06-09 Wenjia Wang , Yi-Hui Zhou

Canonical Correlation Analysis (CCA) is a classical tool for finding correlations among the components of two random vectors. In recent years, CCA has been widely applied to the analysis of genomic data, where it is common for researchers…

机器学习 · 计算机科学 2012-06-22 Sivaraman Balakrishnan , Kriti Puniyani , John Lafferty

Canonical Correlation Analysis (CCA) is a widespread technique for discovering linear relationships between two sets of variables $X \in \mathbb{R}^{n \times p}$ and $Y \in \mathbb{R}^{n \times q}$. In high dimensions however, standard…

统计方法学 · 统计学 2024-05-31 Claire Donnat , Elena Tuzhilina

We propose novel first-order stochastic approximation algorithms for canonical correlation analysis (CCA). Algorithms presented are instances of inexact matrix stochastic gradient (MSG) and inexact matrix exponentiated gradient (MEG), and…

机器学习 · 计算机科学 2018-02-27 Raman Arora , Teodor V. Marinov , Poorya Mianjy , Nathan Srebro

Canonical correlation analysis (CCA for short) describes the relationship between two sets of variables by finding some linear combinations of these variables that maximizing the correlation coefficient. However, in high-dimensional…

最优化与控制 · 数学 2020-03-23 Kangkang Deng , Zheng Peng

In high-dimensional settings, Canonical Correlation Analysis (CCA) often fails, and existing sparse methods force an untenable choice between computational speed and statistical rigor. This work introduces a fast and provably consistent…

统计方法学 · 统计学 2025-07-16 Zixuan Wu , Elena Tuzhilina , Claire Donnat
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