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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

Sparse Canonical Correlation Analysis (SCCA) is a fundamental statistical tool for identifying linear relationships in high-dimensional, multi-view data. While minimax theory establishes an optimal sample complexity scaling additively with…

信号处理 · 电气工程与系统科学 2026-04-21 Mengchu Xu , Jian Wang , Yonina C. Eldar

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…

统计方法学 · 统计学 2025-11-18 Lennie Wells , Kumar Thurimella , Sergio Bacallado

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…

机器学习 · 计算机科学 2019-07-19 Heather D. Couture , Roland Kwitt , J. S. Marron , Melissa Troester , Charles M. Perou , Marc Niethammer

In this paper we address the problem of matching sets of vectors embedded in the same input space. We propose an approach which is motivated by canonical correlation analysis (CCA), a statistical technique which has proven successful in a…

计算机视觉与模式识别 · 计算机科学 2013-06-11 Ognjen Arandjelovic

We consider the scenario where one observes an outcome variable and sets of features from multiple assays, all measured on the same set of samples. One approach that has been proposed for dealing with this type of data is ``sparse multiple…

定量方法 · 定量生物学 2014-01-24 Samuel M. Gross , Robert Tibshirani

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

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…

机器学习 · 统计学 2014-12-31 Yichao Lu , Dean P. Foster

We propose Deep Multiset Canonical Correlation Analysis (dMCCA) as an extension to representation learning using CCA when the underlying signal is observed across multiple (more than two) modalities. We use deep learning framework to learn…

机器学习 · 计算机科学 2023-02-09 Krishna Somandepalli , Naveen Kumar , Ruchir Travadi , Shrikanth Narayanan

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…

统计方法学 · 统计学 2023-08-23 Daniel Kessler , Elizaveta Levina

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…

机器学习 · 统计学 2025-02-27 Rong Wu , Ziqi Chen , Gen Li , Hai Shu

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.…

机器学习 · 计算机科学 2020-01-01 Nils Holzenberger , Raman Arora

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…

机器学习 · 计算机科学 2019-07-05 Yaxin Shi , Yuangang Pan , Donna Xu , Ivor Tsang

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 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 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…

机器学习 · 计算机科学 2020-12-29 Naoko Koide-Majima , Kei Majima

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…

机器学习 · 统计学 2015-02-10 Yong Luo , Dacheng Tao , Yonggang Wen , Kotagiri Ramamohanarao , Chao Xu

Generalized correlation analysis (GCA) is concerned with uncovering linear relationships across multiple datasets. It generalizes canonical correlation analysis that is designed for two datasets. We study sparse GCA when there are…

机器学习 · 统计学 2023-02-07 Sheng Gao , Zongming Ma

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 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…

机器学习 · 统计学 2015-06-29 Zhuang Ma , Yichao Lu , Dean Foster