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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…

机器学习 · 计算机科学 2020-04-24 Jia Cai , Kexin Lv , Junyi Huo , Xiaolin Huang , Jie Yang

Canonical correlation analysis is a statistical technique that is used to find relations between two sets of variables. An important extension in pattern analysis is to consider more than two sets of variables. This problem can be expressed…

机器学习 · 计算机科学 2013-02-06 Jan Rupnik , Primoz Skraba , John Shawe-Taylor , Sabrina Guettes

We study the sample complexity of canonical correlation analysis (CCA), \ie, the number of samples needed to estimate the population canonical correlation and directions up to arbitrarily small error. With mild assumptions on the data…

机器学习 · 计算机科学 2019-10-22 Chao Gao , Dan Garber , Nathan Srebro , Jialei Wang , Weiran Wang

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…

机器学习 · 统计学 2026-05-12 Arvind Prasadan

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…

机器学习 · 计算机科学 2016-03-01 Weiran Wang , Karen Livescu

Canonical correlation analysis was proposed by Hotelling [6] and it measures linear relationship between two multidimensional variables. In high dimensional setting, the classical canonical correlation analysis breaks down. We propose a…

机器学习 · 统计学 2017-06-06 Xiaotong Suo , Victor Minden , Bradley Nelson , Robert Tibshirani , Michael Saunders

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…

统计方法学 · 统计学 2025-10-24 Tomasz Górecki , Mirosław Krzyśko , Felix Gnettner , Piotr Kokoszka

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

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…

机器学习 · 统计学 2015-11-23 Maria De-Arteaga , Artur Dubrawski , Peter Huggins

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

We introduce Block Sparse Canonical Correlation Analysis which estimates multiple pairs of canonical directions (together a "block") at once, resulting in significantly improved orthogonality of the sparse directions which, we demonstrate,…

机器学习 · 统计学 2020-01-22 Omid Shams Solari , Rojin Safavi , James B. Brown

Random features approach has been widely used for kernel approximation in large-scale machine learning. A number of recent studies have explored data-dependent sampling of features, modifying the stochastic oracle from which random features…

机器学习 · 计算机科学 2021-11-03 Yinsong Wang , Shahin Shahrampour

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

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…

统计方法学 · 统计学 2021-07-30 Elena Tuzhilina , Leonardo Tozzi , Trevor Hastie

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…

统计方法学 · 统计学 2026-04-02 Jan Graffelman

Sparse principal component analysis (PCA) and sparse canonical correlation analysis (CCA) are two essential techniques from high-dimensional statistics and machine learning for analyzing large-scale data. Both problems can be formulated as…

机器学习 · 统计学 2019-03-28 Shixiang Chen , Shiqian Ma , Lingzhou Xue , Hui Zou

Canonical correlation analysis (CCA) has been one of the most popular methods for frequency recognition in steady-state visual evoked potential (SSVEP)-based brain-computer interfaces (BCIs). Despite its efficiency, a potential problem is…

机器学习 · 统计学 2014-01-17 Yu Zhang , Guoxu Zhou , Jing Jin , Xingyu Wang , Andrzej Cichocki

Background: Canonical correlation analysis (CCA) is a classic statistical tool for investigating complex multivariate data. Correspondingly, it has found many diverse applications, ranging from molecular biology and medicine to social…

统计方法学 · 统计学 2019-01-14 Takoua Jendoubi , Korbinian Strimmer

Canonical Correlation Analysis (CCA) is a statistical technique used to extract common information from multiple data sources or views. It has been used in various representation learning problems, such as dimensionality reduction, word…

机器学习 · 计算机科学 2020-06-18 Benjamin Dutton

We present an efficient stochastic algorithm (RSG+) for canonical correlation analysis (CCA) using a reparametrization of the projection matrices. We show how this reparametrization (into structured matrices), simple in hindsight, directly…

机器学习 · 计算机科学 2021-06-15 Zihang Meng , Rudrasis Chakraborty , Vikas Singh