Deep compact polyhedral conic classifier for open and closed set recognition

ÇEVİKALP H., UZUN B., Köpüklü O., Ozturk G.

Pattern Recognition, vol.119, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 119
  • Publication Date: 2021
  • Doi Number: 10.1016/j.patcog.2021.108080
  • Journal Name: Pattern Recognition
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Applied Science & Technology Source, BIOSIS, Computer & Applied Sciences, INSPEC, MLA - Modern Language Association Database, zbMATH
  • Keywords: Polyhedral conic classifier, Deep learning, Open set recognition, Image classification, Anomaly detection
  • Eskisehir Osmangazi University Affiliated: Yes


© 2021 Elsevier LtdIn this paper, we propose a new deep neural network classifier that simultaneously maximizes the inter-class separation and minimizes the intra-class variation by using the polyhedral conic classification function. The proposed method has one loss term that allows the margin maximization to maximize the inter-class separation and another loss term that controls the compactness of the class acceptance regions. Our proposed method has a nice geometric interpretation using polyhedral conic function geometry. We tested the proposed method on various visual classification problems including closed/open set recognition and anomaly detection. The experimental results show that the proposed method typically outperforms other state-of-the-art methods, and becomes a better choice compared to other tested methods especially for open set recognition type problems. The source code of the proposed method is available at