LAMDA-HAD, an Extension to the LAMDA Classifier in the Context of Supervised Learning

Luis Morales (), José Aguilar, Danilo Chávez () and Claudia Isaza ()
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Luis Morales: Departamento de Automatización y Control Industrial, Escuela Politécnica Nacional, Ladrón de Guevara E11-253, Quito, Ecuador
José Aguilar: #x2020;CEMISID, Facultad de Ingeniería, Universidad de Los Andes, Mérida 5101, Venezuela‡GIDITIC, Universidad EAFIT, Medellín, Colombia
Danilo Chávez: Departamento de Automatización y Control Industrial, Escuela Politécnica Nacional, Ladrón de Guevara E11-253, Quito, Ecuador
Claudia Isaza: #xA7;SISTEMIC, Facultad de Ingeniería, Universidad de Antioquia, Calle 70, No. 52-21, Medellín, Colombia

International Journal of Information Technology & Decision Making (IJITDM), 2020, vol. 19, issue 01, 283-316

Abstract: This paper proposes a new approach to improve the performance of Learning Algorithm for Multivariable Data Analysis (LAMDA). This algorithm can be used for supervised and unsupervised learning, based on the calculation of the Global Adequacy Degree (GAD) of one individual to a class, through the contributions of all its descriptors. LAMDA has the capability of creating new classes after the training stage. If an individual does not have enough similarity to the preexisting classes, it is evaluated with respect to a threshold called the Non-Informative Class (NIC), this being the novelty of the algorithm. However, LAMDA has problems making good classifications, either because the NIC is constant for all classes, or because the GAD calculation is unreliable. In this work, its efficiency is improved by two strategies, the first one, by the calculation of adaptable NICs for each class, which prevents that correctly classified individuals create new classes; and the second one, by computing the Higher Adequacy Degree (HAD), which grants more robustness to the algorithm. LAMDA-HAD is validated by applying it in different benchmarks and comparing it with LAMDA and other classifiers, through a statistical analysis to determinate the cases in which our algorithm presents a better performance.

Keywords: LAMDA; fuzzy classification; supervised learning; adequacy degree (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0219622019500457

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