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Multiview canonical correlation analysis (MCCA) seeks latent low-dimensional representations encountered with multiview data of shared entities (a.k.a. common sources). However, existing MCCA approaches do not exploit the geometry of the…

信号处理 · 电气工程与系统科学 2019-05-22 Jia Chen , Gang Wang , Georgios B. Giannakis

The classical Canonical Correlation Analysis (CCA) identifies the correlations between two sets of multivariate variables based on their covariance, which has been widely applied in diverse fields such as computer vision, natural language…

最优化与控制 · 数学 2024-01-02 Yongchun Li , Santanu S. Dey , Weijun Xie

Canonical correlation analysis (CCA) is a statistical learning method that seeks to build view-independent latent representations from multi-view data. This method has been successfully applied to several pattern analysis tasks such as…

计算机视觉与模式识别 · 计算机科学 2018-12-24 Hichem Sahbi

Canonical correlation analysis (CCA) is a multivariate statistical method which describes the associations between two sets of variables. The objective is to find linear combinations of the variables in each data set having maximal…

统计方法学 · 统计学 2015-01-07 Ines Wilms , Christophe Croux

The Canonical Correlation Analysis (CCA) family of methods is foundational in multiview learning. Regularised linear CCA methods can be seen to generalise Partial Least Squares (PLS) and be unified with a Generalized Eigenvalue Problem…

机器学习 · 计算机科学 2024-05-02 James Chapman , Lennie Wells , Ana Lawry Aguila

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

We study the stochastic optimization of canonical correlation analysis (CCA), whose objective is nonconvex and does not decouple over training samples. Although several stochastic gradient based optimization algorithms have been recently…

机器学习 · 计算机科学 2016-11-15 Weiran Wang , Jialei Wang , Dan Garber , Nathan Srebro

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

This paper considers the problem of canonical-correlation analysis (CCA) (Hotelling, 1936) and, more broadly, the generalized eigenvector problem for a pair of symmetric matrices. These are two fundamental problems in data analysis and…

机器学习 · 计算机科学 2016-05-30 Rong Ge , Chi Jin , Sham M. Kakade , Praneeth Netrapalli , Aaron Sidford

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

We present a novel method for solving Canonical Correlation Analysis (CCA) in a sparse convex framework using a least squares approach. The presented method focuses on the scenario when one is interested in (or limited to) a primal…

机器学习 · 统计学 2009-08-20 David R. Hardoon , John Shawe-Taylor

Background: Biological data often originate from samples containing mixtures of subpopulations, corresponding e.g. to distinct cellular phenotypes. However, identification of distinct subpopulations may be difficult if biological…

图形学 · 计算机科学 2014-07-09 Justin Feigelman , Fabian J. Theis , Carsten Marr

Canonical Correlation Analysis (CCA) is a linear representation learning method that seeks maximally correlated variables in multi-view data. Non-linear CCA extends this notion to a broader family of transformations, which are more powerful…

机器学习 · 计算机科学 2020-02-11 Amichai Painsky , Meir Feder , Naftali Tishby

We consider the problem of extracting a common structure from multiple tensor datasets. For this purpose, we propose multilinear common component analysis (MCCA) based on Kronecker products of mode-wise covariance matrices. MCCA constructs…

机器学习 · 统计学 2020-11-23 Kohei Yoshikawa , Shuichi Kawano

In this paper, we propose a mixture of probabilistic partial canonical correlation analysis (MPPCCA) that extracts the Causal Patterns from two multivariate time series. Causal patterns refer to the signal patterns within interactions of…

统计方法学 · 统计学 2017-12-13 Hiroki Mori , Keisuke Kawano , Hiroki Yokoyama

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

We propose a multiple imputation method based on principal component analysis (PCA) to deal with incomplete continuous data. To reflect the uncertainty of the parameters from one imputation to the next, we use a Bayesian treatment of the…

统计方法学 · 统计学 2015-08-20 Vincent Audigier , François Husson , Julie Josse

We give an information-theoretic interpretation of Canonical Correlation Analysis (CCA) via (relaxed) Wyner's common information. CCA permits to extract from two high-dimensional data sets low-dimensional descriptions (features) that…

信息论 · 计算机科学 2020-03-02 Michael Gastpar , Erixhen Sula

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

Canonical Correlation Analysis (CCA) is a method for feature extraction of two views by finding maximally correlated linear projections of them. Several variants of CCA have been introduced in the literature, in particular, variants based…

机器学习 · 计算机科学 2022-03-25 Tomer Friedlander , Lior Wolf