2018/03/01 by Mactar Ndaw, Ndaw, Mactar, Macoumba Ndour +3
Mathematics · Physics and Astronomy · #60-04 #60-08 #62-04 #62-07 #FOS: Computer and information sciences #Machine Learning (cs.LG) #Mathematical Inequalities and Applications #Methodology (stat.ME) #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.1803.00001
openalex publication_date 2018/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we study the field of Hilbertian metrics and positive definit (pd) kernels on probability measures, they have a real interest in kernel methods. Firstly we will make a study based on the Alpha-Beta-divergence to have a Hilbercan metric by proposing an improvement of this divergence by constructing it so that its is symmetrical the Alpha-Beta-Symmetric-divergence (ABS-divergence) and also do some studies on these properties but also propose the kernels associated with this divergence. Secondly we will do mumerical studies incorporating all proposed metrics/kernels into support vector machine (SVM). Finally we presented a algorithm for image classification by using our divergence.