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Multilinear Principal Component Analysis (MPCA) is a widely utilized method for the dimension reduction of tensor data. However, the integration of MPCA into federated learning remains unexplored in existing research. To tackle this gap,…

Machine Learning · Computer Science 2024-04-30 Chengyu Zhou , Yuqi Su , Tangbin Xia , Xiaolei Fang

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

In this paper, we study the problems of principal Generalized Eigenvector computation and Canonical Correlation Analysis in the stochastic setting. We propose a simple and efficient algorithm, Gen-Oja, for these problems. We prove the…

Machine Learning · Computer Science 2020-02-04 Kush Bhatia , Aldo Pacchiano , Nicolas Flammarion , Peter L. Bartlett , Michael I. Jordan

Canonical correlation analysis (CCA) is a popular statistical technique for exploring relationships between datasets. In recent years, the estimation of sparse canonical vectors has emerged as an important but challenging variant of the CCA…

Machine Learning · Statistics 2023-11-06 Qiuyun Zhu , Yves Atchade

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…

Machine Learning · Computer Science 2021-10-29 Hengrui Zhang , Qitian Wu , Junchi Yan , David Wipf , Philip S. Yu

Data driven optimization and machine learning based performance diagnostics of radio access networks entails significant challenges arising not only from the nature of underlying data sources but also due to complex spatio-temporal…

Networking and Internet Architecture · Computer Science 2022-09-30 Furqan Ahmed , Muhammad Zeeshan Asghar , Jyri Hämäläinen

Sparse principal component analysis (PCA) and sparse canonical correlation analysis (CCA) are two essential techniques from high-dimensional statistics and machine learning for analyzing large-scale data. Both problems can be formulated as…

Machine Learning · Statistics 2019-03-28 Shixiang Chen , Shiqian Ma , Lingzhou Xue , Hui Zou

Principal component analysis (PCA) is widely used for feature extraction and dimensionality reduction, with documented merits in diverse tasks involving high-dimensional data. Standard PCA copes with one dataset at a time, but it is…

Machine Learning · Computer Science 2019-01-30 Jia Chen , Gang Wang , Georgios B. Giannakis

Common Representation Learning (CRL), wherein different descriptions (or views) of the data are embedded in a common subspace, is receiving a lot of attention recently. Two popular paradigms here are Canonical Correlation Analysis (CCA)…

Computation and Language · Computer Science 2015-10-13 Sarath Chandar , Mitesh M. Khapra , Hugo Larochelle , Balaraman Ravindran

Multimodal language analysis often considers relationships between features based on text and those based on acoustical and visual properties. Text features typically outperform non-text features in sentiment analysis or emotion recognition…

Machine Learning · Computer Science 2019-12-03 Zhongkai Sun , Prathusha Sarma , William Sethares , Yingyu Liang

This paper introduces a novel heterogenous domain adaptation (HDA) method for hyperspectral image classification with a limited amount of labeled samples in both domains. The method is achieved in the way of cross-domain collaborative…

Image and Video Processing · Electrical Eng. & Systems 2019-06-26 Yao Qin , Lorenzo Bruzzone , Biao Li , Yuanxin Ye

Multi-block CCA constructs linear relationships explaining coherent variations across multiple blocks of data. We view the multi-block CCA problem as finding leading generalized eigenvectors and propose to solve it via a proximal gradient…

Methodology · Statistics 2022-01-17 Leying Guan

There has been a great effort to transfer linear discriminant techniques that operate on vector data to high-order data, generally referred to as Multilinear Discriminant Analysis (MDA) techniques. Many existing works focus on maximizing…

Computer Vision and Pattern Recognition · Computer Science 2018-07-06 Dat Thanh Tran , Moncef Gabbouj , Alexandros Iosifidis

Correspondence analysis (CA) is a multivariate statistical tool used to visualize and interpret data dependencies by finding maximally correlated embeddings of pairs of random variables. CA has found applications in fields ranging from…

Machine Learning · Computer Science 2020-07-01 Hsiang Hsu , Salman Salamatian , Flavio P. Calmon

Classical methods such as Principal Component Analysis (PCA) and Canonical Correlation Analysis (CCA) are ubiquitous in statistics. However, these techniques are only able to reveal linear relationships in data. Although nonlinear variants…

Machine Learning · Statistics 2014-05-14 David Lopez-Paz , Suvrit Sra , Alex Smola , Zoubin Ghahramani , Bernhard Schölkopf

Canonical correlation analysis (CCA) has become a key tool for population neuroimaging, allowing investigation of associations between many imaging and non-imaging measurements. As other variables are often a source of variability not of…

Methodology · Statistics 2024-01-09 Anderson M. Winkler , Olivier Renaud , Stephen M. Smith , Thomas E. Nichols

The plenty information from multiple views data as well as the complementary information among different views are usually beneficial to various tasks, e.g., clustering, classification, de-noising. Multi-view subspace clustering is based on…

Computer Vision and Pattern Recognition · Computer Science 2016-09-02 Ming Yin , Junbin Gao , Shengli Xie , Yi Guo

Canonical correlation analysis investigates linear relationships between two sets of variables, but often works poorly on modern data sets due to high-dimensionality and mixed data types such as continuous, binary and zero-inflated. To…

Methodology · Statistics 2021-04-01 Grace Yoon , Raymond J. Carroll , Irina Gaynanova

This study introduces a novel technique for multi-view clustering known as the "Consensus Graph-Based Multi-View Clustering Method Using Low-Rank Non-Convex Norm" (CGMVC-NC). Multi-view clustering is a challenging task in machine learning…

Machine Learning · Computer Science 2025-11-21 Alaeddine Zahir , Khalide Jbilou , Ahmed Ratnani

Connected component analysis (CCA) has been heavily used to label binary images and classify segments. However, it has not been well-exploited to segment multi-valued natural images. This work proposes a novel multi-value segmentation…

Computer Vision and Pattern Recognition · Computer Science 2014-02-12 Dibyendu Mukherjee
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