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Canonical correlation analysis (CCA) is a widely used technique for estimating associations between two sets of multi-dimensional variables. Recent advancements in CCA methods have expanded their application to decipher the interactions of…

Machine Learning · Statistics 2025-02-05 Hongju Park , Shuyang Bai , Zhenyao Ye , Hwiyoung Lee , Tianzhou Ma , Shuo Chen

Generalized Canonical Correlation Analysis (GCCA) is an important tool that finds numerous applications in data mining, machine learning, and artificial intelligence. It aims at finding `common' random variables that are strongly correlated…

Machine Learning · Computer Science 2021-05-19 Mikael Sørensen , Charilaos I. Kanatsoulis , Nicholas D. Sidiropoulos

Canonical correlation analysis (CCA) is a technique for measuring the association between two multivariate data matrices. A regularized modification of canonical correlation analysis (RCCA) which imposes an $\ell_2$ penalty on the CCA…

Methodology · Statistics 2021-07-30 Elena Tuzhilina , Leonardo Tozzi , Trevor Hastie

Canonical correlation analysis (CCA) is a powerful technique for discovering whether or not hidden sources are commonly present in two (or more) datasets. Its well-appreciated merits include dimensionality reduction, clustering,…

Machine Learning · Computer Science 2018-08-15 Jia Chen , Gang Wang , Yanning Shen , Georgios B. Giannakis

Manifold matching works to identify embeddings of multiple disparate data spaces into the same low-dimensional space, where joint inference can be pursued. It is an enabling methodology for fusion and inference from multiple and massive…

Machine Learning · Statistics 2012-09-18 Ming Sun , Carey E. Priebe , Minh Tang

This article critically assesses the utility of the classical statistical technique of Canonical Correlation Analysis (CCA) for studying spatial associations and proposes a new approach to enhance it. Unlike bivariate correlation analysis,…

Methodology · Statistics 2026-02-12 Zhenzhi Jiao , Angela Yao , Ran Tao , Jean-Claude Thill

In this paper, we introduce Functional Generalized Canonical Correlation Analysis (FGCCA), a new framework for exploring associations between multiple random processes observed jointly. The framework is based on the multiblock Regularized…

Methodology · Statistics 2023-10-12 Lucas Sort , Laurent Le Brusquet , Arthur Tenenhaus

This paper investigates fairness and bias in Canonical Correlation Analysis (CCA), a widely used statistical technique for examining the relationship between two sets of variables. We present a framework that alleviates unfairness by…

Machine Learning · Computer Science 2023-09-28 Zhuoping Zhou , Davoud Ataee Tarzanagh , Bojian Hou , Boning Tong , Jia Xu , Yanbo Feng , Qi Long , Li Shen

Canonical correlation analysis (CCA) is a popular technique for learning representations that are maximally correlated across multiple views in data. In this paper, we extend the CCA based framework for learning a multiview mixture model.…

Machine Learning · Computer Science 2020-01-01 Nils Holzenberger , Raman Arora

Canonical correlation analysis (CCA) is a classic statistical method for discovering latent co-variation that underpins two or more observed random vectors. Several extensions and variations of CCA have been proposed that have strengthened…

Machine Learning · Computer Science 2023-12-22 Paris A. Karakasis , Nicholas D. Sidiropoulos

In classical canonical correlation analysis (CCA), the goal is to determine the linear transformations of two random vectors into two new random variables that are most strongly correlated. Canonical variables are pairs of these new random…

Methodology · Statistics 2025-10-24 Tomasz Górecki , Mirosław Krzyśko , Felix Gnettner , Piotr Kokoszka

Regularized Generalized Canonical Correlation Analysis (RGCCA) is a general statistical framework for multi-block data analysis. RGCCA enables deciphering relationships between several sets of variables and subsumes many well-known…

Machine Learning · Statistics 2023-02-13 Fabien Girka , Arnaud Gloaguen , Laurent Le Brusquet , Violetta Zujovic , Arthur Tenenhaus

Canonical Correlation Analysis (CCA) is widely used for multimodal data analysis and, more recently, for discriminative tasks such as multi-view learning; however, it makes no use of class labels. Recent CCA methods have started to address…

Machine Learning · Computer Science 2019-07-19 Heather D. Couture , Roland Kwitt , J. S. Marron , Melissa Troester , Charles M. Perou , Marc Niethammer

Canonical Correlation Analysis (CCA) is a widely used statistical tool with both well established theory and favorable performance for a wide range of machine learning problems. However, computing CCA for huge datasets can be very slow…

Machine Learning · Statistics 2014-12-31 Yichao Lu , Dean P. Foster

We give an information-theoretic interpretation of Canonical Correlation Analysis (CCA) via (relaxed) Wyner's common information. CCA permits to extract from two high-dimensional data sets low-dimensional descriptions (features) that…

Information Theory · Computer Science 2020-03-02 Michael Gastpar , Erixhen Sula

Sparse canonical correlation analysis (CCA) is a useful statistical tool to detect latent information with sparse structures. However, sparse CCA works only for two datasets, i.e., there are only two views or two distinct objects. To…

Machine Learning · Computer Science 2020-04-24 Jia Cai , Kexin Lv , Junyi Huo , Xiaolin Huang , Jie Yang

Canonical Correlation Analysis (CCA) has been widely applied to jointly embed multiple views of data in a maximally correlated latent space. However, the alignment between various data perspectives, which is required by traditional…

Machine Learning · Computer Science 2023-12-11 Biqian Cheng , Evangelos E. Papalexakis , Jia Chen

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…

Methodology · Statistics 2015-01-07 Ines Wilms , Christophe Croux

Recent developments in regularized Canonical Correlation Analysis (CCA) promise powerful methods for high-dimensional, multiview data analysis. However, justifying the structural assumptions behind many popular approaches remains a…

Methodology · Statistics 2025-11-18 Lennie Wells , Kumar Thurimella , Sergio Bacallado

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…

Optimization and Control · Mathematics 2024-01-02 Yongchun Li , Santanu S. Dey , Weijun Xie
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