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相关论文: Sparse Weighted Canonical Correlation Analysis

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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

This paper proposes a robust high-dimensional sparse canonical correlation analysis (CCA) method for investigating linear relationships between two high-dimensional random vectors, focusing on elliptical symmetric distributions. Traditional…

统计方法学 · 统计学 2025-04-18 Chengde Qian , Yanhong Liu , Long Feng

Canonical correlation analysis is a classical technique for exploring the relationship between two sets of variables. It has important applications in analyzing high dimensional datasets originated from genomics, imaging and other fields.…

统计方法学 · 统计学 2016-04-05 Chao Gao , Zongming Ma , Harrison H. Zhou

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

We propose a new technique, Singular Vector Canonical Correlation Analysis (SVCCA), a tool for quickly comparing two representations in a way that is both invariant to affine transform (allowing comparison between different layers and…

机器学习 · 统计学 2017-11-09 Maithra Raghu , Justin Gilmer , Jason Yosinski , Jascha Sohl-Dickstein

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

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

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…

统计计算 · 统计学 2008-01-18 Ami Wiesel , Mark Kliger , Alfred O. Hero

The canonical correlation analysis (CCA) is commonly used to analyze data sets with paired data, e.g. measurements of gene expression and metabolomic intensities of the same experiments. This allows to find interesting relationships between…

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

In clinical and biomedical research, multiple high-dimensional datasets are nowadays routinely collected from omics and imaging devices. Multivariate methods, such as Canonical Correlation Analysis (CCA), integrate two (or more) datasets to…

统计方法学 · 统计学 2025-03-20 Nuria Senar , Mark van de Wiel , Aeilko Zwinderman , Michel Hof

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

Tensor canonical correlation analysis (TCCA) has garnered significant attention due to its effectiveness in capturing high-order correlations in multi-view learning. However, existing TCCA methods often underemphasize the characterization…

最优化与控制 · 数学 2025-12-10 Yanjiao Zhu , Wanquan Liu , Xianchao Xiu , Jianqin Sun

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

In this paper linear canonical correlation analysis (LCCA) is generalized by applying a structured transform to the joint probability distribution of the considered pair of random vectors, i.e., a transformation of the joint probability…

统计方法学 · 统计学 2015-06-03 Koby Todros , Alfred O. Hero

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

Generalized canonical correlation analysis (GCCA) aims at finding latent low-dimensional common structure from multiple views (feature vectors in different domains) of the same entities. Unlike principal component analysis (PCA) that…

机器学习 · 统计学 2017-08-02 Xiao Fu , Kejun Huang , Mingyi Hong , Nicholas D. Sidiropoulos , Anthony Man-Cho So

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…

机器学习 · 统计学 2025-02-05 Hongju Park , Shuyang Bai , Zhenyao Ye , Hwiyoung Lee , Tianzhou Ma , Shuo Chen

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

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