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Canonical correlation analysis (CCA) is a technique to find statistical dependencies between a pair of multivariate data. However, its application to high dimensional data is limited due to the resulting time complexity. While the…

Machine Learning · Computer Science 2020-12-29 Naoko Koide-Majima , Kei Majima

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 (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

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

Learning representations of two views of data such that the resulting representations are highly linearly correlated is appealing in machine learning. In this paper, we present a canonical correlation guided learning framework, which allows…

Machine Learning · Computer Science 2024-10-01 Zhiwen Chen , Siwen Mo , Haobin Ke , Steven X. Ding , Zhaohui Jiang , Chunhua Yang , Weihua Gui

We present deep variational canonical correlation analysis (VCCA), a deep multi-view learning model that extends the latent variable model interpretation of linear CCA to nonlinear observation models parameterized by deep neural networks.…

Machine Learning · Computer Science 2017-02-28 Weiran Wang , Xinchen Yan , Honglak Lee , Karen Livescu

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…

Machine Learning · Computer Science 2012-06-22 Sivaraman Balakrishnan , Kriti Puniyani , John Lafferty

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

This paper presents a robust matrix elastic net based canonical correlation analysis (RMEN-CCA) for multiple view unsupervised learning problems, which emphasizes the combination of CCA and the robust matrix elastic net (RMEN) used as…

Machine Learning · Computer Science 2017-11-16 Peng-Bo Zhang , Zhi-Xin Yang

Multiview canonical correlation analysis (MCCA) seeks latent low-dimensional representations encountered with multiview data of shared entities (a.k.a. common sources). However, existing MCCA approaches do not exploit the geometry of the…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Jia Chen , Gang Wang , Georgios B. Giannakis

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

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

Motivation: Biomedical studies increasingly produce multi-view high-dimensional datasets (e.g., multi-omics) that demand integrative analysis. Existing canonical correlation analysis (CCA) and generalized CCA methods address at most two of…

Machine Learning · Statistics 2025-02-27 Rong Wu , Ziqi Chen , Gen Li , Hai Shu

Canonical Correlation Analysis (CCA) is a widely used spectral technique for finding correlation structures in multi-view datasets. In this paper, we tackle the problem of large scale CCA, where classical algorithms, usually requiring…

Machine Learning · Statistics 2015-06-29 Zhuang Ma , Yichao Lu , Dean Foster

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…

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

Multi-view alignment, achieving one-to-one correspondence of multi-view inputs, is critical in many real-world multi-view applications, especially for cross-view data analysis problems. Recently, an increasing number of works study this…

Machine Learning · Computer Science 2020-05-26 Yaxin Shi , Yuangang Pan , Donna Xu , Ivor W. Tsang

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

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…

Machine Learning · Statistics 2017-01-17 Xiaowei Zhang , Delin Chu , Li-Zhi Liao , Michael K. Ng

We investigate the identifiability of nonlinear Canonical Correlation Analysis (CCA) in a multi-view setup, where each view is generated by an unknown nonlinear map applied to a linear mixture of shared latents and view-private noise.…

Machine Learning · Computer Science 2026-03-02 Zhiwei Han , Stefan Matthes , Hao Shen

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