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In high-dimensional settings, Canonical Correlation Analysis (CCA) often fails, and existing sparse methods force an untenable choice between computational speed and statistical rigor. This work introduces a fast and provably consistent…

统计方法学 · 统计学 2025-07-16 Zixuan Wu , Elena Tuzhilina , Claire Donnat

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

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 (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

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

Canonical correlation analysis (CCA) is a method for reducing the dimension of data represented using two views. It has been previously used to derive word embeddings, where one view indicates a word, and the other view indicates its…

计算与语言 · 计算机科学 2016-07-28 Dominique Osborne , Shashi Narayan , Shay B. Cohen

Hyperspectral optical imaging provides rich spectral information for estimating continuous environmental and material parameters; however, its high dimensionality and strong feature correlation pose significant challenges for machine…

光学 · 物理学 2025-12-18 Parisa Parand , Mahmoud Samadpour

Cross-modality retrieval encompasses retrieval tasks where the fetched items are of a different type than the search query, e.g., retrieving pictures relevant to a given text query. The state-of-the-art approach to cross-modality retrieval…

信息检索 · 计算机科学 2018-04-17 Matthias Dorfer , Jan Schlüter , Andreu Vall , Filip Korzeniowski , Gerhard Widmer

Kernel canonical correlation analysis (KCCA) is a nonlinear multi-view representation learning technique with broad applicability in statistics and machine learning. Although there is a closed-form solution for the KCCA objective, it…

机器学习 · 计算机科学 2016-03-01 Weiran Wang , Karen Livescu

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

Describing the dimension reduction (DR) techniques by means of probabilistic models has recently been given special attention. Probabilistic models, in addition to a better interpretability of the DR methods, provide a framework for further…

计算机视觉与模式识别 · 计算机科学 2020-05-12 Mehran Safayani , Saeid Momenzadeh

Canonical Correlation Analysis (CCA) is a classical tool for finding correlations among the components of two random vectors. In recent years, CCA has been widely applied to the analysis of genomic data, where it is common for researchers…

机器学习 · 计算机科学 2012-06-22 Sivaraman Balakrishnan , Kriti Puniyani , John Lafferty

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

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

This paper is concerned with the analysis of correlation between two high-dimensional data sets when there are only few correlated signal components but the number of samples is very small, possibly much smaller than the dimensions of the…

信息论 · 计算机科学 2016-04-08 Yang Song , Peter J. Schreier , David Ramirez , Tanuj Hasija

Multispectral imaging is an important technique for improving the readability of written or printed text where the letters have faded, either due to deliberate erasing or simply due to the ravages of time. Often the text can be read simply…

计算机视觉与模式识别 · 计算机科学 2018-07-20 Corneliu T. C. Arsene , Stephen Church , Mark Dickinson

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

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

Recent work has sought to understand the behavior of neural networks by comparing representations between layers and between different trained models. We examine methods for comparing neural network representations based on canonical…

机器学习 · 计算机科学 2019-07-22 Simon Kornblith , Mohammad Norouzi , Honglak Lee , Geoffrey Hinton

In this paper, we consider the alignment between an upstream dimensionality reduction task of learning a low-dimensional representation of a set of high-dimensional data and a downstream optimization task of solving a stochastic program…

机器学习 · 计算机科学 2024-03-13 Long He , Ho-Yin Mak