Criteria of efficiency for conformal prediction

We study optimal conformity measures for various criteria of efficiency of classification in an idealised setting. This leads to an important class of criteria of efficiency that we call probabilistic; it turns out that the most standard criteria of efficiency used in literature on conformal prediction are not probabilistic unless the problem of classification is binary. We consider both unconditional and label-conditional conformal prediction.Comment: 31 page

Applying supervised classifiers based on non-negative matrix factorization to musical instrument classification

In this paper, a new approach for automatic audio classification using non-negative matrix factorization (NMF) is presented. Training is performed onto each audio class individually, whilst during the test phase each test recording is projected onto the several training matrices. Experiments demonstrating the efficiency of the proposed approach were performed for musical instrument classification. Several perceptual features as well as MPEG-7 descriptors were measured for 300 sound recordings consisting of 6 different musical instrument classes. Subsets of the feature set were selected using branch-and-bound search, in order to obtain the most discriminating features for classification. Several NMF techniques were utilized, namely the standard NMF method, the local NMF, and the sparse NMF. The experiments demonstrate an almost perfect classification (classification error 1.0%), outperforming the state-of-the-art techniques tested for the aforementioned experiment