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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

Dimensionality reduction represents a critical preprocessing step in order to increase the efficiency and the performance of many hyperspectral imaging algorithms. However, dimensionality reduction algorithms, such as the Principal…

机器学习 · 计算机科学 2024-03-28 E. Martel , R. Lazcano , J. Lopez , D. Madroñal , R. Salvador , S. Lopez , E. Juarez , R. Guerra , C. Sanz , R. Sarmiento

Extracting meaningful latent representations from high-dimensional sequential data is a crucial challenge in machine learning, with applications spanning natural science and engineering. We introduce InfoDPCCA, a dynamic probabilistic…

机器学习 · 计算机科学 2025-06-11 Shiqin Tang , Shujian Yu

Few-shot learning (FSL) often requires effective adaptation of models using limited labeled data. However, most existing FSL methods rely on entangled representations, requiring the model to implicitly recover the unmixing process to obtain…

计算机视觉与模式识别 · 计算机科学 2025-08-06 Tianjiao Jiang , Zhen Zhang , Yuhang Liu , Javen Qinfeng Shi

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

Motivation: Biomedical studies increasingly produce multi-view high-dimensional datasets (e.g., multi-omics) that demand integrative analysis. Existing canonical correlation analysis (CCA) and generalized CCA methods address at most two of…

机器学习 · 统计学 2025-02-27 Rong Wu , Ziqi Chen , Gen Li , Hai Shu

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

Canonical correlation analysis (CCA) is a classic statistical method for discovering latent co-variation that underpins two or more observed random vectors. Several extensions and variations of CCA have been proposed that have strengthened…

机器学习 · 计算机科学 2023-12-22 Paris A. Karakasis , Nicholas D. Sidiropoulos

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

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?…

计算机视觉与模式识别 · 计算机科学 2018-04-03 Yedid Hoshen , Lior Wolf

Deep CCA is a recently proposed deep neural network extension to the traditional canonical correlation analysis (CCA), and has been successful for multi-view representation learning in several domains. However, stochastic optimization of…

机器学习 · 计算机科学 2015-10-08 Weiran Wang , Raman Arora , Karen Livescu , Nathan Srebro

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

Canonical Correlation Analysis (CCA) is a classic technique for multi-view data analysis. To overcome the deficiency of linear correlation in practical multi-view learning tasks, various CCA variants were proposed to capture nonlinear…

机器学习 · 计算机科学 2019-07-05 Yaxin Shi , Yuangang Pan , Donna Xu , Ivor Tsang

Linking two data sources is a basic building block in numerous computer vision problems. Canonical Correlation Analysis (CCA) achieves this by utilizing a linear optimizer in order to maximize the correlation between the two views. Recent…

计算机视觉与模式识别 · 计算机科学 2017-02-14 Aviv Eisenschtat , Lior Wolf

As an effective tool for two-dimensional data analysis, two-dimensional canonical correlation analysis (2DCCA) is not only capable of preserving the intrinsic structural information of original two-dimensional (2D) data, but also reduces…

机器学习 · 计算机科学 2021-03-02 Lei Gao , Ling Guan

Dimensionality reduction is a fundamental technique in machine learning and data analysis, enabling efficient representation and visualization of high-dimensional data. This paper explores five key methods: Principal Component Analysis…

其他统计学 · 统计学 2025-02-19 Yuan-chin Ivan Chang

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

We address the problem of integrating textual and visual information in vector space models for word meaning representation. We first present the Residual CCA (R-CCA) method, that complements the standard CCA method by representing, for…

计算与语言 · 计算机科学 2016-10-05 Hagar Loeub , Roi Reichart

Canonical correlation analysis (CCA) is a multivariate statistical technique for finding the linear relationship between two sets of variables. The kernel generalization of CCA named kernel CCA has been proposed to find nonlinear relations…

机器学习 · 统计学 2017-01-17 Xiaowei Zhang , Delin Chu , Li-Zhi Liao , Michael K. Ng

Canonical correlation analysis (CCA) is a classical and important multivariate technique for exploring the relationship between two sets of continuous variables. CCA has applications in many fields, such as genomics and neuroimaging. It can…

统计方法学 · 统计学 2020-05-12 Lin Qiu , Vernon M. Chinchilli