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A subspace aggregating algorithm for accurate classification

Author

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  • Saeid Amiri

    (McGill University)

  • Reza Modarres

    (The George Washington University)

Abstract

We present a technique for learning via aggregation in supervised classification. The new method improves classification performance, regardless of which classifier is at its core. This approach exploits the information hidden in subspaces by combinations of aggregating variables and is applicable to high-dimensional data sets. We provide algorithms that randomly divide the variables into smaller subsets and permute them before applying a classification method to each subset. We combine the resulting classes to predict the class membership. Theoretical and simulation analyses consistently demonstrate the high accuracy of our classification methods. In comparison to aggregating observations through sampling, our approach proves to be significantly more effective. Through extensive simulations, we evaluate the accuracy of various classification methods. To further illustrate the effectiveness of our techniques, we apply them to five real-world data sets.

Suggested Citation

  • Saeid Amiri & Reza Modarres, 2025. "A subspace aggregating algorithm for accurate classification," Computational Statistics, Springer, vol. 40(1), pages 65-86, January.
    • Handle: RePEc:spr:compst:v:40:y:2025:i:1:d:10.1007_s00180-024-01476-3
    DOI: 10.1007/s00180-024-01476-3
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    References listed on IDEAS

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    1. Peter Hall & J. S. Marron & Amnon Neeman, 2005. "Geometric representation of high dimension, low sample size data," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(3), pages 427-444, June.
    2. Alfaro, Esteban & Gamez, Matias & García, Noelia, 2013. "adabag: An R Package for Classification with Boosting and Bagging," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 54(i02).
    3. M. Soleymani & S. M. S. Lee, 2014. "Sequential combination of weighted and nonparametric bagging for classification," Biometrika, Biometrika Trust, vol. 101(2), pages 491-498.
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