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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 study instrumental variable regression in data rich environments. The goal is to estimate a linear model from many noisy covariates and many noisy instruments. Our key assumption is that true covariates and true instruments are…

计量经济学 · 经济学 2025-12-30 Isaac Meza , Rahul Singh

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

Random features approach has been widely used for kernel approximation in large-scale machine learning. A number of recent studies have explored data-dependent sampling of features, modifying the stochastic oracle from which random features…

机器学习 · 计算机科学 2021-11-03 Yinsong Wang , Shahin Shahrampour

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

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

Reducing the number of false discoveries is presently one of the most pressing issues in the life sciences. It is of especially great importance for many applications in neuroimaging and genomics, where datasets are typically…

统计方法学 · 统计学 2018-06-26 Alexej Gossmann , Pascal Zille , Vince Calhoun , Yu-Ping Wang

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 study computational-statistical gaps for improper learning in sparse linear regression. More specifically, given $n$ samples from a $k$-sparse linear model in dimension $d$, we ask what is the minimum sample complexity to efficiently (in…

机器学习 · 计算机科学 2024-06-26 Rares-Darius Buhai , Jingqiu Ding , Stefan Tiegel

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

Canonical Correlation Analysis (CCA) is a statistical technique used to extract common information from multiple data sources or views. It has been used in various representation learning problems, such as dimensionality reduction, word…

机器学习 · 计算机科学 2020-06-18 Benjamin Dutton

We consider the scenario where one observes an outcome variable and sets of features from multiple assays, all measured on the same set of samples. One approach that has been proposed for dealing with this type of data is ``sparse multiple…

定量方法 · 定量生物学 2014-01-24 Samuel M. Gross , Robert Tibshirani

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

Discriminative Canonical Correlation Analysis (DCCA) is a powerful supervised feature extraction technique for two sets of multivariate data, which has wide applications in pattern recognition. DCCA consists of two parts: (i) mean-centering…

量子物理 · 物理学 2022-06-14 Yong-Mei Li , Hai-Ling Liu , Shi-Jie Pan , Su-Juan Qin , Fei Gao , Qiao-Yan Wen

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

Canonical correlation analysis (CCA) is a powerful technique for discovering whether or not hidden sources are commonly present in two (or more) datasets. Its well-appreciated merits include dimensionality reduction, clustering,…

机器学习 · 计算机科学 2018-08-15 Jia Chen , Gang Wang , Yanning Shen , Georgios B. Giannakis

Canonical correlation analysis is a widely used multivariate statistical technique for exploring the relation between two sets of variables. This paper considers the problem of estimating the leading canonical correlation directions in…

统计理论 · 数学 2015-10-16 Chao Gao , Zongming Ma , Zhao Ren , Harrison H. Zhou

We introduce a conceptually simple yet effective model for self-supervised representation learning with graph data. It follows the previous methods that generate two views of an input graph through data augmentation. However, unlike…

机器学习 · 计算机科学 2021-10-29 Hengrui Zhang , Qitian Wu , Junchi Yan , David Wipf , Philip S. Yu

Canonical correlation analysis is a statistical technique that is used to find relations between two sets of variables. An important extension in pattern analysis is to consider more than two sets of variables. This problem can be expressed…

机器学习 · 计算机科学 2013-02-06 Jan Rupnik , Primoz Skraba , John Shawe-Taylor , Sabrina Guettes

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