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Generalized power method for sparse principal component analysis

Author

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  • JOURNEE, Michel
  • NESTEROV, Yurii
  • RICHTARIK, Peter
  • SEPULCHRE, Rodolphe

Abstract

No abstract is available for this item.

Suggested Citation

  • JOURNEE, Michel & NESTEROV, Yurii & RICHTARIK, Peter & SEPULCHRE, Rodolphe, 2010. "Generalized power method for sparse principal component analysis," LIDAM Reprints CORE 2232, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2232
    Note: In : Journal of Machine Learning Research, 11, 517-553, 2010
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    Citations

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    Cited by:

    1. Yu, Ju-Chi & Le Borgne, Julie & Krishnan, Anjali & Gloaguen, Arnaud & Yang, Cheng-Ta & Rabin, Laura A. & Abdi, Hervé & Guillemot, Vincent, 2025. "Sparse factor analysis for categorical data with the group-sparse generalized singular value decomposition," Computational Statistics & Data Analysis, Elsevier, vol. 209(C).
    2. Nerea González-García & Ana Belén Nieto-Librero & Purificación Galindo-Villardón, 2023. "CenetBiplot: a new proposal of sparse and orthogonal biplots methods by means of elastic net CSVD," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 17(1), pages 5-19, March.
    3. Yuqia Wu & Shaohua Pan & Shujun Bi, 2021. "Kurdyka–Łojasiewicz Property of Zero-Norm Composite Functions," Journal of Optimization Theory and Applications, Springer, vol. 188(1), pages 94-112, January.
    4. Yixuan Qiu & Jing Lei & Kathryn Roeder, 2023. "Gradient-based sparse principal component analysis with extensions to online learning," Biometrika, Biometrika Trust, vol. 110(2), pages 339-360.
    5. Rosember Guerra-Urzola & Niek C. Schipper & Anya Tonne & Klaas Sijtsma & Juan C. Vera & Katrijn Deun, 2023. "Sparsifying the least-squares approach to PCA: comparison of lasso and cardinality constraint," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 17(1), pages 269-286, March.
    6. Chris Khulu & Shaun Ramroop, 2020. "Key Determinants of Anemia among Youngsters under Five Years in Senegal, Malawi, and Angola," IJERPH, MDPI, vol. 17(22), pages 1-12, November.
    7. Merola, Giovanni Maria & Chen, Gemai, 2019. "Projection sparse principal component analysis: An efficient least squares method," Journal of Multivariate Analysis, Elsevier, vol. 173(C), pages 366-382.
    8. Viet Anh Nguyen & Soroosh Shafieezadeh-Abadeh & Daniel Kuhn & Peyman Mohajerin Esfahani, 2023. "Bridging Bayesian and Minimax Mean Square Error Estimation via Wasserstein Distributionally Robust Optimization," Mathematics of Operations Research, INFORMS, vol. 48(1), pages 1-37, February.
    9. Lars Eldén & Nickolay Trendafilov, 2019. "Semi-sparse PCA," Psychometrika, Springer;The Psychometric Society, vol. 84(1), pages 164-185, March.
    10. Santanu S. Dey & Rahul Mazumder & Guanyi Wang, 2022. "Using ℓ 1 -Relaxation and Integer Programming to Obtain Dual Bounds for Sparse PCA," Operations Research, INFORMS, vol. 70(3), pages 1914-1932, May.
    11. Zhongjin Lin & Bhavin J. Shastri & Shangxuan Yu & Jingxiang Song & Yuntao Zhu & Arman Safarnejadian & Wangning Cai & Yanmei Lin & Wei Ke & Mustafa Hammood & Tianye Wang & Mengyue Xu & Zibo Zheng & Moh, 2024. "120 GOPS Photonic tensor core in thin-film lithium niobate for inference and in situ training," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    12. Michael Greenacre & Patrick J. F Groenen & Trevor Hastie & Alfonso Iodice d’Enza & Angelos Markos & Elena Tuzhilina, 2023. "Principal component analysis," Economics Working Papers 1856, Department of Economics and Business, Universitat Pompeu Fabra.
    13. Liu, Yong-Jin & Wan, Yuqi & Lin, Lanyu, 2024. "An efficient algorithm for Fantope-constrained sparse principal subspace estimation problem," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    14. repec:plo:pone00:0133124 is not listed on IDEAS
    15. Jin-Xing Liu & Yong Xu & Chun-Hou Zheng & Yi Wang & Jing-Yu Yang, 2012. "Characteristic Gene Selection via Weighting Principal Components by Singular Values," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-10, July.
    16. Yongchun Li & Weijun Xie, 2025. "Exact and Approximation Algorithms for Sparse Principal Component Analysis," INFORMS Journal on Computing, INFORMS, vol. 37(3), pages 582-602, May.
    17. Othman El Balghiti & Adam N. Elmachtoub & Paul Grigas & Ambuj Tewari, 2023. "Generalization Bounds in the Predict-Then-Optimize Framework," Mathematics of Operations Research, INFORMS, vol. 48(4), pages 2043-2065, November.
    18. David H. Gutman & Nam Ho-Nguyen, 2023. "Coordinate Descent Without Coordinates: Tangent Subspace Descent on Riemannian Manifolds," Mathematics of Operations Research, INFORMS, vol. 48(1), pages 127-159, March.
    19. Guerra Urzola, Rosember & Van Deun, Katrijn & Vera, J. C. & Sijtsma, K., 2021. "A guide for sparse PCA : Model comparison and applications," Other publications TiSEM 4d35b931-7f49-444b-b92f-a, Tilburg University, School of Economics and Management.
    20. Rosember Guerra-Urzola & Katrijn Van Deun & Juan C. Vera & Klaas Sijtsma, 2021. "A Guide for Sparse PCA: Model Comparison and Applications," Psychometrika, Springer;The Psychometric Society, vol. 86(4), pages 893-919, December.
    21. Amir Beck & Yakov Vaisbourd, 2016. "The Sparse Principal Component Analysis Problem: Optimality Conditions and Algorithms," Journal of Optimization Theory and Applications, Springer, vol. 170(1), pages 119-143, July.
    22. Jiaxiang Li & Shiqian Ma & Tejes Srivastava, 2025. "A Riemannian Alternating Direction Method of Multipliers," Mathematics of Operations Research, INFORMS, vol. 50(4), pages 3222-3242, November.
    23. Yiping Lu & Jiajin Li & Lexing Ying & Jose Blanchet, 2022. "Synthetic Principal Component Design: Fast Covariate Balancing with Synthetic Controls," Papers 2211.15241, arXiv.org.

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