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October 9, 2025Open Access

Combinatorial Approaches for Embedded Feature Selection in Nonlinear SVMs

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Authors

FDFederico D’OnofrioYFYuri FaenzaLPLaura Palagi

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Overview

This approach optimizes feature selection using a hard cardinality constraint in nonlinear SVMs, suggesting improvements through metaheuristic and submodular optimization.

Key Points

  • The proposed method guarantees strict control over the number of selected features in nonlinear SVMs.
  • The approach includes a local search metaheuristic, which is effective for general nonlinear kernels.
  • The decomposition framework alternates optimization between continuous and binary variables for enhanced efficiency.
  • Numerical experiments reveal that the algorithms outperform standard methods for solving mixed-integer nonlinear programming problems.

Cite This Study

D’Onofrio et al. (2025) studied this question.

synapsesocial.com/papers/68e7103b90569dd607ee6a15https://doi.org/10.48550/arxiv.2507.23711
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