Towards dendrite spherical neurons for pattern classification

Wilfrido Gómez-Flores, Juan Humberto Sossa-Azuela

Producción científica: Capítulo del libro/informe/acta de congresoContribución a la conferenciarevisión exhaustiva

7 Citas (Scopus)

Resumen

This paper introduces the Dendrite Spherical Neuron (DSN) as an alternative to the Dendrite Ellipsoidal Neuron (DEN), in which hyperspheres group the patterns from different classes instead of hyperellipses. The reasoning behind DSN is simplifying the computation of DEN architecture, where a centroid and covariance matrix are two dendritic parameters, whereas, in DSN, the covariance matrix is replaced by a radius. This modification is useful to avoid singular covariance matrices since DEN requires measuring the Mahalanobis distance to classify patterns. The DSN training consists of determining the centroids of dendrites with the k-means algorithm, followed by calculating the radius of dendrites as the mean distance to the two nearest centroids, and finally determining the weights of a softmax function, with Stochastic Gradient Descent, at the output of the neuron. Besides, the Simulated Annealing automatically determines the number of dendrites that maximizes the classification accuracy. The DSN is applied to synthetic and real-world datasets. The experimental results reveal that DSN is competitive with Multilayer Perceptron (MLP) networks, with less complex architectures. Also, DSN tends to outperform the Dendrite Morphological Neuron (DMN), which uses hyperboxes. These findings suggest that the DSN is a potential alternative to MLP and DMN for pattern classification tasks.

Idioma originalInglés
Título de la publicación alojadaPattern Recognition - 12th Mexican Conference, MCPR 2020, Proceedings
EditoresKarina Mariela Figueroa Mora, Juan Anzurez Marín, Jaime Cerda, Jesús Ariel Carrasco-Ochoa, José Francisco Martínez-Trinidad, José Arturo Olvera-López
EditorialSpringer
Páginas14-24
Número de páginas11
ISBN (versión impresa)9783030490751
DOI
EstadoPublicada - 2020
Evento12th Mexican Conference on Pattern Recognition, MCPR 2020 - Morelia, México
Duración: 24 jun. 202027 jun. 2020

Serie de la publicación

NombreLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volumen12088 LNCS
ISSN (versión impresa)0302-9743
ISSN (versión digital)1611-3349

Conferencia

Conferencia12th Mexican Conference on Pattern Recognition, MCPR 2020
País/TerritorioMéxico
CiudadMorelia
Período24/06/2027/06/20

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