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Author: search.filters.author.Sabau, Sorin V.Subject: search.filters.subject.Finsler metrics

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    Finsler Metrics Induced by a Similarity Function
    (2020-01-01)
    Kumankat, Nisachon
    ;
    Pantaragphong, Praiboon
    ;
    Sabau, Sorin V.
    In the present paper, the geometrical properties of a topological space endowed with a similarity was studied. Its relation with weighted quasi-metrics and Finsler metrics of Randers type was discussed. Finally, some applications to bioinformatics and computer science by relating similarities to dynamic programming algorithms are considered. In conclusion, the space containing the real-world data is non-symmetric and non-linear.
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    Geodesic distance Kernels
    (2017-01-01)
    Somboon, Uraiwan
    ;
    Pantaragphong, Praiboon
    ;
    Sabau, Sorin V.
    In this paper, the authors deals with non-symmetric kernels induced by weighted quasi-metrics on Hilbert spaces and they study their fundamental properties. These are new and original. Such kind of metrics is obtained from Finsler metrics for example. We show that the use of such kernels may provide a solution to the conflict between positive definiteness of the kernel and the curvature of the underlying space.