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Research Article | Open Access

Robust average-weighted twin extreme learning machine for pattern classification

Yanrong Ma1Jun Ma2( )Bao Ma2
School of Preparatory Education, North Minzu University, Yinchuan 750021, China
School of Mathematics and Information Sciences, North Minzu University, Yinchuan Ningxia 750021, PR China
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Abstract

This paper proposes a novel robust twin extreme learning machine (RTELM) for binary classification. To enhance its performance and robustness, we introduce two key techniques: (1) An average weight technique that assigns larger weights to data points near the class center and smaller weights to those near the boundary, leveraging the intra-class distribution; and (2) an improved pre-selection point technique that selects only the top- u sorted data points to mitigate the impact of noise and outliers. Furthermore, we extend RTELM by incorporating a manifold regularization term, resulting in the Lap-RTELM framework, which enhances data discriminability. Extensive experiments validate that both RTELM and Lap-RTELM achieve superior classification performance, robustness, and stability compared to traditional methods.

CLC number: 68T10, 91C20

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AIMS Mathematics
Pages 10100-10132

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Cite this article:
Ma Y, Ma J, Ma B. Robust average-weighted twin extreme learning machine for pattern classification. AIMS Mathematics, 2026, 11(4): 10100-10132. https://doi.org/10.3934/math.2026417

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Received: 24 December 2025
Revised: 27 February 2026
Accepted: 28 February 2026
Published: 14 April 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)