A Non-parametric Fisher Kernel
- Pau Figuera 1
- Pablo García Bringas 1
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1
Universidad de Deusto
info
- Hugo Sanjurjo González (coord.)
- Iker Pastor López (coord.)
- Pablo García Bringas (coord.)
- Héctor Quintián (coord.)
- Emilio Corchado (coord.)
Éditorial: Springer International Publishing AG
ISBN: 978-3-030-86271-8, 978-3-030-86270-1
Année de publication: 2021
Pages: 448-459
Congreso: Hybrid Artificial Intelligent Systems (HAIS) (16. 2021. Bilbao)
Type: Communication dans un congrès
Résumé
In this manuscript, we derive a non-parametric version of the Fisher kernel. We obtain this original result from the Non-negative Matrix Factorization with the Kullback-Leibler divergence. By imposing suitable normalization conditions on the obtained factorization, it can be assimilated to a mixture of densities, with no assumptions on the distribution of the parameters. The equivalence between the Kullback- Leibler divergence and the log-likelihood leads to kernelization by simply taking partial derivatives. The estimates provided by this kernel, retain the consistency of the Fisher kernel.