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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…

Computation · Statistics 2008-01-18 Ami Wiesel , Mark Kliger , Alfred O. Hero

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

Reducing the number of false discoveries is presently one of the most pressing issues in the life sciences. It is of especially great importance for many applications in neuroimaging and genomics, where datasets are typically…

Methodology · Statistics 2018-06-26 Alexej Gossmann , Pascal Zille , Vince Calhoun , Yu-Ping Wang

Finding relationships between multiple views of data is essential both for exploratory analysis and as pre-processing for predictive tasks. A prominent approach is to apply variants of Canonical Correlation Analysis (CCA), a classical…

Machine Learning · Statistics 2016-01-11 Ziyuan Lin , Jaakko Peltonen

Canonical correlation analysis (CCA) is a standard tool for studying associations between two data sources; however, it is not designed for data with count or proportion measurement types. In addition, while CCA uncovers common signals, it…

Computation · Statistics 2022-08-02 Dongbang Yuan , Yunfeng Zhang , Shuai Guo , Wenyi Wang , Irina Gaynanova

We present an extension of sparse Canonical Correlation Analysis (CCA) designed for finding multiple-to-multiple linear correlations within a single set of variables. Unlike CCA, which finds correlations between two sets of data where the…

Machine Learning · Statistics 2015-11-23 Maria De-Arteaga , Artur Dubrawski , Peter Huggins

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

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

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

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…

Methodology · Statistics 2023-10-31 Siddhesh Kulkarni , Subhadip Pal , Jeremy T. Gaskins

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…

Methodology · Statistics 2021-04-01 Grace Yoon , Raymond J. Carroll , Irina Gaynanova

Canonical correlation analysis (CCA) is a technique for finding correlated sets of features between two datasets. In this paper, we propose a novel extension of CCA to the online, streaming data setting: Sliding Window Informative Canonical…

Machine Learning · Statistics 2026-05-12 Arvind Prasadan

Incorporating prior knowledge into a data-driven modeling problem can drastically improve performance, reliability, and generalization outside of the training sample. The stronger the structural properties, the more effective these…

Robotics · Computer Science 2023-11-20 Wooyoung Chung , Daniel Polani , Stas Tiomkin

Kernel canonical correlation analysis (KCCA) is a nonlinear multi-view representation learning technique with broad applicability in statistics and machine learning. Although there is a closed-form solution for the KCCA objective, it…

Machine Learning · Computer Science 2016-03-01 Weiran Wang , Karen Livescu

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

We present a novel method for solving Canonical Correlation Analysis (CCA) in a sparse convex framework using a least squares approach. The presented method focuses on the scenario when one is interested in (or limited to) a primal…

Machine Learning · Statistics 2009-08-20 David R. Hardoon , John Shawe-Taylor

Canonical correlation analysis is a classic well-known multivariate statistical method focusing on the relationships between two sets of variables. The visualisation of those relationships can be achieved by means of a biplot of the…

Methodology · Statistics 2026-04-02 Jan Graffelman

Canonical Correlation Analysis (CCA) models are powerful for studying the associations between two sets of variables. The canonically correlated representations, termed \textit{canonical variates} are widely used in unsupervised learning to…

Machine Learning · Computer Science 2021-06-09 Ofir Lindenbaum , Moshe Salhov , Amir Averbuch , Yuval Kluger

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

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