English

Logic-based Explanations for Linear Support Vector Classifiers with Reject Option

Artificial Intelligence 2024-03-26 v1 Machine Learning Logic in Computer Science

Abstract

Support Vector Classifier (SVC) is a well-known Machine Learning (ML) model for linear classification problems. It can be used in conjunction with a reject option strategy to reject instances that are hard to correctly classify and delegate them to a specialist. This further increases the confidence of the model. Given this, obtaining an explanation of the cause of rejection is important to not blindly trust the obtained results. While most of the related work has developed means to give such explanations for machine learning models, to the best of our knowledge none have done so for when reject option is present. We propose a logic-based approach with formal guarantees on the correctness and minimality of explanations for linear SVCs with reject option. We evaluate our approach by comparing it to Anchors, which is a heuristic algorithm for generating explanations. Obtained results show that our proposed method gives shorter explanations with reduced time cost.

Keywords

Cite

@article{arxiv.2403.16190,
  title  = {Logic-based Explanations for Linear Support Vector Classifiers with Reject Option},
  author = {Francisco Mateus Rocha Filho and Thiago Alves Rocha and Reginaldo Pereira Fernandes Ribeiro and Ajalmar Rêgo da Rocha Neto},
  journal= {arXiv preprint arXiv:2403.16190},
  year   = {2024}
}

Comments

16 pages, submitted to BRACIS 2023 (Brazilian Conference on Intelligent Systems), accepted version published in Intelligent Systems, LNCS, vol 14195

R2 v1 2026-06-28T15:31:44.191Z