Sparse Representations with Cone Atoms

Denis C. Ilie-Ablachim; Andra Baltoiu; Bogdan Dumitrescu

ICASSP 2023accepted0 citations

Sparse Representations with Cone Atoms

Denis C. Ilie-Ablachim, Andra Baltoiu, Bogdan Dumitrescu

Abstract

We extend the notion of sparse representation to the case where the atoms are not vectors, but cones, hence infinite sets. The sparse representation is linear, as usual, but the most convenient vector is chosen from each selected cone. We give a cone version of Orthogonal Matching Pursuit (OMP) and show that its complexity is only a few times larger than that of OMP. The new cone OMP can be used for anomaly detection; we apply it with very good results to the detection of abnormal heartbeats.

BibTeX

@inproceedings{icassp2023_sparserepresenta,
  title = {Sparse Representations with Cone Atoms},
  author = {Denis C. Ilie-Ablachim and Andra Baltoiu and Bogdan Dumitrescu},
  booktitle = {ICASSP 2023},
  year = {2023}
}