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Recent developments in regularized Canonical Correlation Analysis (CCA) promise powerful methods for high-dimensional, multiview data analysis. However, justifying the structural assumptions behind many popular approaches remains a…

Methodology · Statistics 2025-11-18 Lennie Wells , Kumar Thurimella , Sergio Bacallado

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…

Methodology · Statistics 2025-07-16 Zixuan Wu , Elena Tuzhilina , Claire Donnat

This paper studies high-dimensional canonical correlation analysis (CCA) with an emphasis on the vectors that define canonical variables. The paper shows that when two dimensions of data grow to infinity jointly and proportionally, the…

Econometrics · Economics 2025-01-24 Anna Bykhovskaya , Vadim Gorin

Cellular automata (CA) are discrete-time dynamical systems with local update rules on a lattice. Despite their elementary definition, CA support a wide spectrum of macroscopic phenomena central to statistical physics: equilibrium and…

Statistical Mechanics · Physics 2026-03-31 Mihir Metkar , Neha Sah , Yichen Zhou

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…

Machine Learning · Computer Science 2023-12-22 Paris A. Karakasis , Nicholas D. Sidiropoulos

For multiple multivariate data sets, we derive conditions under which Generalized Canonical Correlation Analysis (GCCA) improves classification performance of the projected datasets, compared to standard Canonical Correlation Analysis (CCA)…

Machine Learning · Statistics 2024-06-27 Cencheng Shen , Ming Sun , Minh Tang , Carey E. Priebe

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…

Machine Learning · Computer Science 2025-06-11 Shiqin Tang , Shujian Yu

In recent times, functional data analysis (FDA) has been successfully applied in the field of high dimensional data classification. In this paper, we present a novel classification framework using functional data and classwise Principal…

Machine Learning · Statistics 2021-06-29 Avishek Chatterjee , Satyaki Mazumder , Koel Das

The Principal Component Analysis (PCA) is a data dimensionality reduction technique well-suited for processing data from sensor networks. It can be applied to tasks like compression, event detection, and event recognition. This technique is…

Networking and Internet Architecture · Computer Science 2010-03-13 Yann-Aël Le Borgne , Sylvain Raybaud , Gianluca Bontempi

Canonical correlation analysis (CCA for short) describes the relationship between two sets of variables by finding some linear combinations of these variables that maximizing the correlation coefficient. However, in high-dimensional…

Optimization and Control · Mathematics 2020-03-23 Kangkang Deng , Zheng Peng

System-centric modeling and analysis are of key significance in planning and optimizing cellular networks. In this paper, we provide a mathematical analysis of performance modeling for LTE networks. The system model characterizes the…

Information Theory · Computer Science 2012-01-20 Iana Siomina , Di Yuan

We study the stochastic optimization of canonical correlation analysis (CCA), whose objective is nonconvex and does not decouple over training samples. Although several stochastic gradient based optimization algorithms have been recently…

Machine Learning · Computer Science 2016-11-15 Weiran Wang , Jialei Wang , Dan Garber , Nathan Srebro

It can be challenging to perform an integrative statistical analysis of multi-view high-dimensional data acquired from different experiments on each subject who participated in a joint study. Canonical Correlation Analysis (CCA) is a…

Methodology · Statistics 2023-10-31 Siddhesh Kulkarni , Subhadip Pal , Jeremy T. Gaskins

Multi-view learning (MVL) is a strategy for fusing data from different sources or subsets. Canonical correlation analysis (CCA) is very important in MVL, whose main idea is to map data from different views onto a common space with maximum…

Machine Learning · Computer Science 2021-05-04 Chenfeng Guo , Dongrui Wu

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…

Computation and Language · Computer Science 2016-07-28 Dominique Osborne , Shashi Narayan , Shay B. Cohen

Integrative analyses of different high dimensional data types are becoming increasingly popular. Similarly, incorporating prior functional relationships among variables in data analysis has been a topic of increasing interest as it helps…

Methodology · Statistics 2016-06-09 Sandra E. Safo , Shuzhao Li , Qi Long

Modern vision pipelines increasingly rely on pretrained image encoders whose representations are reused across tasks and models, yet these representations are often overcomplete and model-specific. We propose a simple, training-free method…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Dylan B. Lewis , Jens Gregor , Hector Santos-Villalobos

We propose using canonical correlation analysis (CCA) to generate features from sequences of medical billing codes. Applying this novel use of CCA to a database of medical billing codes for patients with diverticulitis, we first demonstrate…

Machine Learning · Statistics 2017-01-09 Corinne L. Jones , Sham M. Kakade , Lucas W. Thornblade , David R. Flum , Abraham D. Flaxman

We propose graph canonical coherence analysis (gCChA), a novel framework that extends canonical correlation analysis to multivariate graph signals in the graph frequency domain. The proposed method addresses challenges posed by the inherent…

Methodology · Statistics 2026-01-15 Kyusoon Kim , Hee-Seok Oh

Correspondence analysis (CA) is a multivariate statistical tool used to visualize and interpret data dependencies. CA has found applications in fields ranging from epidemiology to social sciences. However, current methods used to perform CA…

Machine Learning · Statistics 2019-02-22 Hsiang Hsu , Salman Salamatian , Flavio P. Calmon
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