Modified Soft Margin Optimal Hyperplane Algorithm for Support Vector Machines Applied to Fault Patterns and Disease Diagnosis

This paper introduces a modified soft margin optimal hyperplane (MSMOH) algorithm, which enhances the linear separating properties of support vector machines (SVMs) by placing higher penalties on large misclassification errors. This approach improves margin symmetry in both balanced and asymmetric data distributions. The research is divided into two main stages. The first stage evaluates MSMOH for synthetic data classification and its application in heart disease diagnosis. In a cross-validation setting with unknown data, MSMOH demonstrated superior average performance compared to the standard soft margin optimal hyperplane (SMOH). Performance metrics confirmed that MSMOH maximizes the margin and reduces the number of support vectors (SVs), thus improving classification performance, generalization, and computational efficiency. The second stage applies MSMOH as a novel synthesis algorithm to design a neural associative memory (NAM) based on a recurrent neural network (RNN). This NAM is used for fault diagnosis in fossil electric power plants. By promoting more symmetric decision boundaries, MSMOH increases the accurate convergence of 1024 possible input elements. The results show that MSMOH effectively designs the NAM, leading to better performance than other synthesis algorithms like perceptron, optimal hyperplane (OH), and SMOH. Specifically, MSMOH achieved the highest number of converged input elements (1019) and the smallest number of elements converging to spurious memories (5).

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Publication Details

Journal
Symmetry
Published
2025-10-16
DOI
https://doi.org/10.3390/sym17101749
Primary Topic
Fault Detection and Control Systems
Type
article
Field-Weighted Citation Impact
0.00

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article

Modified Soft Margin Optimal Hyperplane Algorithm for Support Vector Machines Applied to Fault Patterns and Disease Diagnosis

Alma Y. Alanís, José A. Ruz-Hernández, Juan Carlos González Gómez, Mario Antonio Ruz Canul et al.
Symmetry
Fault Detection and Control Systems
article

Modified Soft Margin Optimal Hyperplane Algorithm for Support Vector Machines Applied to Fault Patterns and Disease Diagnosis

Alma Y. Alanís, José A. Ruz-Hernández, Juan Carlos González Gómez, Mario Antonio Ruz Canul, Jorge Gálvez
article en

Abstract

This paper introduces a modified soft margin optimal hyperplane (MSMOH) algorithm, which enhances the linear separating properties of support vector machines (SVMs) by placing higher penalties on large misclassification errors. This approach improves margin symmetry in both balanced and asymmetric data distributions. The research is divided into two main stages. The first stage evaluates MSMOH for synthetic data classification and its application in heart disease diagnosis. In a cross-validation setting with unknown data, MSMOH demonstrated superior average performance compared to the standard soft margin optimal hyperplane (SMOH). Performance metrics confirmed that MSMOH maximizes the margin and reduces the number of support vectors (SVs), thus improving classification performance, generalization, and computational efficiency. The second stage applies MSMOH as a novel synthesis algorithm to design a neural associative memory (NAM) based on a recurrent neural network (RNN). This NAM is used for fault diagnosis in fossil electric power plants. By promoting more symmetric decision boundaries, MSMOH increases the accurate convergence of 1024 possible input elements. The results show that MSMOH effectively designs the NAM, leading to better performance than other synthesis algorithms like perceptron, optimal hyperplane (OH), and SMOH. Specifically, MSMOH achieved the highest number of converged input elements (1019) and the smallest number of elements converging to spurious memories (5).

SymmetryVol. 17(10)
Universidad de Guadalajara (MX), Universidad Autónoma del Carmen (MX)
Universidad de Guadalajara, Universidad Autónoma del Carmen
Openalex Percentile: Top 62%
Fault Detection and Control Systems
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