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Since the beginning of the 21st century, the size, breadth, and granularity of data in biology and medicine has grown rapidly. In the example of neuroscience, studies with thousands of subjects are becoming more common, which provide…

A new approach to the sparse Canonical Correlation Analysis (sCCA)is proposed with the aim of discovering interpretable associations in very high-dimensional multi-view, i.e.observations of multiple sets of variables on the same subjects,…

机器学习 · 统计学 2019-09-18 Omid S. Solari , James B. Brown , Peter J. Bickel

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, is a widely used multivariate method in omics research for integrating high dimensional datasets. CCA identifies hidden links by deriving linear projections of features maximally correlating datasets.…

统计方法学 · 统计学 2025-10-31 Nuria Senar , Aeilko H. Zwinderman , Michel H. Hof and

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.…

机器学习 · 计算机科学 2026-03-02 Zhiwei Han , Stefan Matthes , Hao Shen

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…

机器学习 · 计算机科学 2024-10-01 Zhiwen Chen , Siwen Mo , Haobin Ke , Steven X. Ding , Zhaohui Jiang , Chunhua Yang , Weihua Gui

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 (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

We present a fast algorithm for approximate Canonical Correlation Analysis (CCA). Given a pair of tall-and-thin matrices, the proposed algorithm first employs a randomized dimensionality reduction transform to reduce the size of the input…

数据结构与算法 · 计算机科学 2013-05-03 Haim Avron , Christos Boutsidis , Sivan Toledo , Anastasios Zouzias

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

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…

机器学习 · 计算机科学 2017-11-16 Peng-Bo Zhang , Zhi-Xin Yang

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

Recently the widely used multi-view learning model, Canonical Correlation Analysis (CCA) has been generalised to the non-linear setting via deep neural networks. Existing deep CCA models typically first decorrelate the feature dimensions of…

计算机视觉与模式识别 · 计算机科学 2018-03-28 Xiaobin Chang , Tao Xiang , Timothy M. Hospedales

We present Deep Tensor Canonical Correlation Analysis (DTCCA), a method to learn complex nonlinear transformations of multiple views (more than two) of data such that the resulting representations are linearly correlated in high order. The…

机器学习 · 计算机科学 2020-05-26 Hok Shing Wong , Li Wang , Raymond Chan , Tieyong Zeng

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

We present Deep Generalized Canonical Correlation Analysis (DGCCA) -- a method for learning nonlinear transformations of arbitrarily many views of data, such that the resulting transformations are maximally informative of each other. While…

机器学习 · 计算机科学 2017-06-16 Adrian Benton , Huda Khayrallah , Biman Gujral , Dee Ann Reisinger , Sheng Zhang , Raman Arora

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

By leveraging contrastive learning, clustering, and other pretext tasks, unsupervised methods for learning image representations have reached impressive results on standard benchmarks. The result has been a crowded field - many methods with…

计算机视觉与模式识别 · 计算机科学 2022-06-17 Matthew Gwilliam , Abhinav Shrivastava

Classic and deep generalized canonical correlation analysis (GCCA) algorithms seek low-dimensional common representations of data entities from multiple ``views'' (e.g., audio and image) using linear transformations and neural networks,…

机器学习 · 计算机科学 2023-04-05 Sagar Shrestha , Xiao Fu

Canonical correlation analysis (CCA) is a technique for finding correlations between different data modalities and learning low-dimensional representations. As fairness becomes crucial in machine learning, fair CCA has gained attention.…

机器学习 · 计算机科学 2025-10-02 Bojian Hou , Zhanliang Wang , Zhuoping Zhou , Boning Tong , Zexuan Wang , Jingxuan Bao , Duy Duong-Tran , Qi Long , Li Shen