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Canonical Correlation Analysis (CCA) is a linear representation learning method that seeks maximally correlated variables in multi-view data. Non-linear CCA extends this notion to a broader family of transformations, which are more powerful…

Machine Learning · Computer Science 2020-02-11 Amichai Painsky , Meir Feder , Naftali Tishby

We propose a new technique, Singular Vector Canonical Correlation Analysis (SVCCA), a tool for quickly comparing two representations in a way that is both invariant to affine transform (allowing comparison between different layers and…

Machine Learning · Statistics 2017-11-09 Maithra Raghu , Justin Gilmer , Jason Yosinski , Jascha Sohl-Dickstein

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 classical representation learning technique for finding correlated variables in multi-view data. Several nonlinear extensions of the original linear CCA have been proposed, including kernel and deep…

Machine Learning · Computer Science 2016-02-09 Tomer Michaeli , Weiran Wang , Karen Livescu

Canonical correlation analysis (CCA) is a statistical learning method that seeks to build view-independent latent representations from multi-view data. This method has been successfully applied to several pattern analysis tasks such as…

Computer Vision and Pattern Recognition · Computer Science 2018-12-24 Hichem Sahbi

Canonical Correlation Analysis (CCA) is a method for analyzing pairs of random vectors; it learns a sequence of paired linear transformations such that the resultant canonical variates are maximally correlated within pairs while…

Methodology · Statistics 2023-08-23 Daniel Kessler , Elizaveta Levina

This paper proposes a robust high-dimensional sparse canonical correlation analysis (CCA) method for investigating linear relationships between two high-dimensional random vectors, focusing on elliptical symmetric distributions. Traditional…

Methodology · Statistics 2025-04-18 Chengde Qian , Yanhong Liu , Long Feng

Multi-view learning (MVL) is a strategy for fusing data from different sources or subsets. Canonical correlation analysis (CCA) is very important in MVL, whose main idea is to map data from different views onto a common space with maximum…

Machine Learning · Computer Science 2021-05-04 Chenfeng Guo , Dongrui Wu

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) 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

Canonical correlation analysis (CCA) is a method for reducing the dimension of data represented using two views. It has been previously used to derive word embeddings, where one view indicates a word, and the other view indicates its…

Computation and Language · Computer Science 2016-07-28 Dominique Osborne , Shashi Narayan , Shay B. Cohen

The main idea of canonical correlation analysis (CCA) is to map different views onto a common latent space with maximum correlation. We propose a deep interpretable variational canonical correlation analysis (DICCA) for multi-view learning.…

Machine Learning · Statistics 2022-03-03 Lin Qiu , Lynn Lin , Vernon M. Chinchilli

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

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

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…

Statistics Theory · Mathematics 2018-01-23 Zhuang Ma , Xiaodong Li

Since the beginning of the 21st century, the size, breadth, and granularity of data in biology and medicine has grown rapidly. In the example of neuroscience, studies with thousands of subjects are becoming more common, which provide…

The canonical correlation analysis (CCA) is commonly used to analyze data sets with paired data, e.g. measurements of gene expression and metabolomic intensities of the same experiments. This allows to find interesting relationships between…

Canonical correlation analysis (CCA) has proven an effective tool for two-view dimension reduction due to its profound theoretical foundation and success in practical applications. In respect of multi-view learning, however, it is limited…

Machine Learning · Statistics 2015-02-10 Yong Luo , Dacheng Tao , Yonggang Wen , Kotagiri Ramamohanarao , Chao Xu

Canonical Correlation Analysis (CCA) is a classic technique for multi-view data analysis. To overcome the deficiency of linear correlation in practical multi-view learning tasks, various CCA variants were proposed to capture nonlinear…

Machine Learning · Computer Science 2019-07-05 Yaxin Shi , Yuangang Pan , Donna Xu , Ivor Tsang

Discriminative Canonical Correlation Analysis (DCCA) is a powerful supervised feature extraction technique for two sets of multivariate data, which has wide applications in pattern recognition. DCCA consists of two parts: (i) mean-centering…

Quantum Physics · Physics 2022-06-14 Yong-Mei Li , Hai-Ling Liu , Shi-Jie Pan , Su-Juan Qin , Fei Gao , Qiao-Yan Wen