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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…

Machine Learning · Statistics 2017-11-09 Maithra Raghu , Justin Gilmer , Jason Yosinski , Jascha Sohl-Dickstein

We aim to analyze the relation between two random vectors that may potentially have both different number of attributes as well as realizations, and which may even not have a joint distribution. This problem arises in many practical…

Machine Learning · Statistics 2015-11-12 Hoang-Vu Nguyen , Jilles Vreeken

Non-gaussian component analysis (NGCA) introduced in offered a method for high dimensional data analysis allowing for identifying a low-dimensional non-Gaussian component of the whole distribution in an iterative and structure adaptive way.…

Statistics Theory · Mathematics 2009-04-24 Elmar Diederichs , Anatoli Juditsky , Vladimir Spokoiny , Christof Schuette

Unsupervised two-view learning, or detection of dependencies between two paired data sets, is typically done by some variant of canonical correlation analysis (CCA). CCA searches for a linear projection for each view, such that the…

Machine Learning · Statistics 2016-11-18 Leo Lahti , Samuel Myllykangas , Sakari Knuutila , Samuel Kaski

Sparse principal component analysis (PCA) is an important technique for dimensionality reduction of high-dimensional data. However, most existing sparse PCA algorithms are based on non-convex optimization, which provide little guarantee on…

Methodology · Statistics 2019-11-20 Yixuan Qiu , Jing Lei , Kathryn Roeder

We present RandomizedCCA, a randomized algorithm for computing canonical analysis, suitable for large datasets stored either out of core or on a distributed file system. Accurate results can be obtained in as few as two data passes, which…

Machine Learning · Statistics 2014-11-14 Paul Mineiro , Nikos Karampatziakis

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…

Computer Vision and Pattern Recognition · Computer Science 2013-06-11 Ognjen Arandjelovic

Canonical correlation analysis (CCA) is a state-of-the-art method for frequency recognition in steady-state visual evoked potential (SSVEP)-based brain-computer interface (BCI) systems. Various extended methods have been developed, and…

Neurons and Cognition · Quantitative Biology 2018-07-03 Yangsong Zhang , Erwei Yin , Fali Li , Yu Zhang , Toshihisa Tanaka , Qibin Zhao , Yan Cui , Peng Xu , Dezhong Yao , Daqing Guo

We propose novel first-order stochastic approximation algorithms for canonical correlation analysis (CCA). Algorithms presented are instances of inexact matrix stochastic gradient (MSG) and inexact matrix exponentiated gradient (MEG), and…

Machine Learning · Computer Science 2018-02-27 Raman Arora , Teodor V. Marinov , Poorya Mianjy , Nathan Srebro

Independent component analysis (ICA) is a method for recovering statistically independent signals from observations of unknown linear combinations of the sources. Some of the most accurate ICA decomposition methods require searching for the…

Machine Learning · Statistics 2016-09-23 Matan Sela , Ron Kimmel

Combining the predictions of multiple trained models through ensembling is generally a good way to improve accuracy by leveraging the different learned features of the models, however it comes with high computational and storage costs.…

Machine Learning · Computer Science 2024-07-09 Stefan Horoi , Albert Manuel Orozco Camacho , Eugene Belilovsky , Guy Wolf

Nonlinear component analysis such as kernel Principle Component Analysis (KPCA) and kernel Canonical Correlation Analysis (KCCA) are widely used in machine learning, statistics and data analysis, but they can not scale up to big datasets.…

Machine Learning · Computer Science 2016-01-12 Bo Xie , Yingyu Liang , Le Song

Many analyses of multivariate data focus on evaluating the dependence between two sets of variables, rather than the dependence among individual variables within each set. Canonical correlation analysis (CCA) is a classical data analysis…

Methodology · Statistics 2024-04-23 Jordan G. Bryan , Jonathan Niles-Weed , Peter D. Hoff

Linking between two data sources is a basic building block in numerous computer vision problems. In this paper, we set to answer a fundamental cognitive question: are prior correspondences necessary for linking between different domains?…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Yedid Hoshen , Lior Wolf

Kernel and Multiple Kernel Canonical Correlation Analysis (CCA) are employed to classify schizophrenic and healthy patients based on their SNPs, DNA Methylation and fMRI data. Kernel and Multiple Kernel CCA are popular methods for finding…

Quantitative Methods · Quantitative Biology 2016-09-16 Owen Richfield , Md. Ashad Alam , Vince Calhoun , Yu-Ping Wang

Numeric tabular datasets are the dominant data format in scientific practice, yet large language models lack native mechanisms for representing numeric datasets in a meaningful way across heterogeneous feature spaces. Existing approaches…

Machine Learning · Computer Science 2026-05-29 M. Ross Kunz , John Merickel , Keith Wilson

Recent advances in citation recommendation have improved accuracy by leveraging multi-view representation learning to integrate the various modalities present in scholarly documents. However, effectively combining multiple data views…

Information Retrieval · Computer Science 2025-07-24 Conor McNamara , Effirul Ramlan

This paper considers canonical correlation analysis for two longitudinal variables that are possibly sampled at different time resolutions with irregular grids. We modeled trajectories of the multivariate variables using random effects and…

Applications · Statistics 2023-02-03 Seonjoo Lee , Jongwoo Choi , Zhiqian Fang , F. DuBois Bowman

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…

Machine Learning · Statistics 2017-06-06 Xiaotong Suo , Victor Minden , Bradley Nelson , Robert Tibshirani , Michael Saunders

Canonical Variate Analysis (CVA) is a multivariate statistical technique and a direct application of Linear Discriminant Analysis (LDA) that aims to find linear combinations of variables that best differentiate between groups in a dataset.…

Computation · Statistics 2025-09-23 Raeesa Ganey , Sugnet Lubbe
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