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Since the introduction of the lasso in regression, various sparse methods have been developed in an unsupervised context like sparse principal component analysis (s-PCA), sparse canonical correlation analysis (s-CCA) and sparse singular…

统计方法学 · 统计学 2020-12-09 Ruiping Liu , Ndeye Niang , Gilbert Saporta , Huiwen Wang

Regularized generalized canonical correlation analysis (RGCCA) is a generalization of regularized canonical correlation analysis to three or more sets of variables, which is a component-based approach aiming to study the relationships…

统计理论 · 数学 2025-03-21 Kuo-Yue Li , Qi-Ye Zhang , Yong-Han Sun

Canonical correlation analysis is a family of multivariate statistical methods for the analysis of paired sets of variables. Since its proposition, canonical correlation analysis has for instance been extended to extract relations between…

机器学习 · 计算机科学 2017-11-08 Viivi Uurtio , João M. Monteiro , Jaz Kandola , John Shawe-Taylor , Delmiro Fernandez-Reyes , Juho Rousu

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…

机器学习 · 计算机科学 2021-05-19 Mikael Sørensen , Charilaos I. Kanatsoulis , Nicholas D. Sidiropoulos

Various new brain-computer interface technologies or neuroscience applications require decoding stimulus-following neural responses to natural stimuli such as speech and video from, e.g., electroencephalography (EEG) signals. In this…

信号处理 · 电气工程与系统科学 2024-08-01 Simon Geirnaert , Yuanyuan Yao , Tom Francart , Alexander Bertrand

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.…

机器学习 · 统计学 2022-03-03 Lin Qiu , Lynn Lin , Vernon M. Chinchilli

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

Sparse Canonical Correlation Analysis (CCA) has received considerable attention in high-dimensional data analysis to study the relationship between two sets of random variables. However, there has been remarkably little theoretical…

统计理论 · 数学 2013-11-26 Mengjie Chen , Chao Gao , Zhao Ren , Harrison H. Zhou

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…

统计计算 · 统计学 2022-08-02 Dongbang Yuan , Yunfeng Zhang , Shuai Guo , Wenyi Wang , Irina Gaynanova

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

Canonical Variate Analysis (CVA) is a multivariate statistical technique and a direct application of Linear Discriminant Analysis (LDA) that aims to find linear combinations of variables that best differentiate between groups in a dataset.…

统计计算 · 统计学 2025-09-23 Raeesa Ganey , Sugnet Lubbe

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

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…

机器学习 · 计算机科学 2016-02-09 Tomer Michaeli , Weiran Wang , Karen Livescu

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,…

统计方法学 · 统计学 2026-02-12 Zhenzhi Jiao , Angela Yao , Ran Tao , Jean-Claude Thill

Canonical correlation analysis (CCA) has become a key tool for population neuroimaging, allowing investigation of associations between many imaging and non-imaging measurements. As other variables are often a source of variability not of…

统计方法学 · 统计学 2024-01-09 Anderson M. Winkler , Olivier Renaud , Stephen M. Smith , Thomas E. Nichols

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

To understand the biology of cancer, joint analysis of multiple data modalities, including imaging and genomics, is crucial. The involved nature of gene-microenvironment interactions necessitates the use of algorithms which treat both data…

信号处理 · 电气工程与系统科学 2018-02-27 Vaishnavi Subramanian , Benjamin Chidester , Jian Ma , Minh N. Do

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) 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,…

机器学习 · 计算机科学 2018-08-15 Jia Chen , Gang Wang , Yanning Shen , Georgios B. Giannakis

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.…

机器学习 · 计算机科学 2017-02-28 Weiran Wang , Xinchen Yan , Honglak Lee , Karen Livescu