1-CCA (12 papers)
A) Conventional CCA (10 papers)
H. Hotelling, "Relations between two sets of variates", Biometrika, pages 321–377, 1936.
J. Ketterling, "Canonical analysis of several sets of variables", Biometrika, pages 433-451, 1971.
S. Das, P. Sen. "Restricted canonical correlations", Linear Algebra and its Applications, pages 29–47, 1994.
B. Gunderson, R. Muirhead, "On estimating the dimensionality in canonical correlation analysis", Journal of Multivariate Analysis, Volume 62, No. 1, pages 121–136, 1997.
C Fyfe, P. Lai, "Canonical correlation analysis neural networks", IEEE International Conference on Pattern Recognition,pages 977-980, 2000.
D. Skocaj, A. Leonardis, "Canonical correlation analysis for appearance-based orientation and self-estimation and self-localization", CogVis Meeting, January 2004.
W. Härdle, L. Simar, "Canonical Correlation Analysis", Applied Multivariate Statistical Analysis, pages 321–330, 2007.
Z. Zhou, D. Tarzanagh, B. Hou, B. Tong, J. Xu, Y. Feng, Q. Long, L. Shen, “Fair canonical correlation analysis”, Conference on Neural Information Processing Systems, NeurIPS 2023, 2023.
C. Donnat, E. Tuzhilina, “Canonical Correlation Analysis as Reduced Rank Regression in High Dimensions”, Preprint, May 2024.
L. Wells, K. Thurimella, S. Bacallado, “Regularised Canonical Correlation Analysis: Graphical Lasso, Biplots and Beyond”, Preprint, May 2024.
B) Graph-based CCA (2 papers)
J. Chen, G. Wang, Y. Shen, G. Giannakis, “Canonical correlation analysis of datasets with a common source graph", IEEE Transactions on Signal Processing, Volume 66, No. 16, July 2018.
J. Chen, G. Wang, G. Giannakis, “Graph multiview canonical correlation analysis", IEEE Transactions on Signal Processing, Volume 67, No. 11, April 2019.
2-Orthogonal CCA (1 paper)
X. Shen, Q. Sun, Y. Yuan, "Orthogonal canonical correlation analysis and its application in feature fusion", IEEE International Conference on Information Fusion, FUSION 2013, 2013.
3-Nonlinear PCA (5 papers)
B. Scholkopf, A Smola, K. Muller, "Nonlinear component analysis as a kernel eigenvalue problem" ,Neural computation, Volume 10, No. 5, pages 1299–1319, 1998.
J. Dauxois, G. Nkiet, "Nonlinear canonical analysis and independence tests", The Annals of Statistics., Volume 26, pages 1254-1278, 1998.
J. Dauxois, G. Nkiet, "Measure of association for Hilbert subspaces and some applications", Journal of Multivariate Analysis, Volume 82 pages 263-298, 2002.
T. Hsing, L. Liu, M. Brun, E. Dougherty, "The coefficient of intrinsic dependence", Pattern Recognition, Volume 38, pages 623-636, 2005.
R. Eubank, T. Hsing, "Canonical correlation for stochastic processes", Stochastic Processes and their Applications Volume 118, Issue 9, pages 1634-166, September 2008.
4-Kernel CCA (6 papers)
S. Akaho, "A Kernel Method For Canonical Correlation Analysis", International Meeting of the Psychometric Society, 2001.
A. Gretton, R. Herbrich, A. Smola, O. Bousquet, B. Schölkopf, "Kernel methods for measuring independence", Journal of Machine Learning Research, Volume 6, pages 2075-2129, 2005.
[Gaussian, Laplacian, Polynomial]
M. Alam, M. Nasser, K. Fukumizu, "Sensitivity analys is in robust and kernel canonical correlation analysis", IEEE International Conference on Computer and Information Technology, ICCIT 2008, pages 399–404, 2008.
[Hilbert space]
Y. Huang, M. Lee, C. Hsiao, "Nonlinear measures of association with kernel canonical correlation analysis and applications", Journal of Statistical Planning and Inference, Volume 139, No. 7, pages 2162, 2009.
[Studies]
K. Fukumizu, A. Gretton, "Consistency of kernel canonical correlation analysis", Journal of Machine Learning Research, pages 361–383, 2007.
D. Hardoon, J. Shawe-Taylor, "Convergence analysis of kernel canonical correlation analysis: Theory and practice", Machine Learning, Volume 74, No. 1, 23–38, 2009.
5-Probabilistic CCA (6 papers)
F. Bach, M. Jordan, "A probabilistic interpretation of canonical correlation analysis", Technical Report No. 688, University of California, USA, 2005.
C. Wang, "Variational Bayesian approach to canonical correlation analysis", IEEE Transactions on Neural Networks , Volume 18, pages905–910, 2007.
A. Klami, S. Kaski, "Local dependent components", International Conference on Machine Learning, ICML 2007, pages 425–432, 2007.
A. Klami, S. Kaski, "Probabilistic approach to detecting dependencies between data sets", Neurocomputing, pages 39–46, 2008.
A. Klami, S. Virtanen, S. Kaski, "Bayesian canonical correlation analysis", Journal of Machine Learning Research, pages 965–1003, 2015.
T. Jendoubi, K. Strimmer, "Probabilistic canonical correlation analysis: a whitening approach", Preprint, 2018.
6-Sparse CCA (6 papers)
D. Hardoon, J. Shawe-Taylor, "Sparse canonical correlation analysis", Technical report, University College London, UK, 2007.
D. Hardoon, J. Shawe-Taylor, "Sparse canonical correlation analysis", Machine Learning, Volume 83, No. 3, pages 331–353, 2011.
I. Wilms, C. Croux, "Sparse canonical correlation analysis from a predictive point of view", Biometrika , pages 834–851, 2015.
R. Cruz-Cano, M. Lee, "Fast regularized canonical correlation analysis", Computational Statistics and Data Analysis, pages 88–100, 2014.
Z. Ma, Y. Lu, D. Foster, "Finding linear structure in large datasets with scalable canonical correlation analysis", International Conference on Machine Learning, ICML 2015, pages 169–178, 2015.
W. Khan, M. Ishrat, A. Khan, M. Arif, A. Shaikh, "Detecting Anomalies in Attributed Networks through Sparse Canonical Correlation Analysis Combined with Random Masking and Padding", IEEE Access, Volume 12, pages 555-569, 2024.
7-Generalized CCA (3 papers)
A Tenenhaus, M Tenenhaus, "Regularized generalized canonical correlation analysis", Psychometrika, Volume 76, No. 2, pages 257–284, 2011.
A. Tenenhaus, C. Philippe, V. Guillemot, K. Le Cao, J. Grill, V. Frouin, "Variable selection for generalized canonical correlation analysis"
Biostatistics, 2014.
A. Tenenhaus, C. Philippe, V. Frouin, "Kernel generalized canonical correlation analysis" Computational Statistics and Data Analysis, pages 114–131, 2015.