Abstract

Extreme Learning Machine (ELM) is characterized by simplicity, generalization ability, and computational efficiency. However, previous ELMs fail to consider the inherent high-order relationship among data points, resulting in being powerless on structured data and poor robustness on noise data. This paper presents a novel semi-supervised ELM, termed Hypergraph Convolutional ELM (HGCELM), based on using hypergraph convolution to extend ELM into the non-Euclidean domain. The method inherits all the advantages from ELM, and consists of a random hypergraph convolutional layer followed by a hypergraph convolutional regression layer, enabling it to model complex intraclass variations. We show that the traditional ELM is a special case of the HGCELM model in the regular Euclidean domain. Extensive experimental results show that HGCELM remarkably outperforms eight competitive methods on 26 classification benchmarks.

Highlights

  • IntroductionExtreme Learning Machine (ELM) [1,2] was developed as a simple but effective learning model for classification and regression problems

  • Extreme Learning Machine (ELM) [1,2] was developed as a simple but effective learning model for classification and regression problems. As it is a special form of random vector functional-link network (RVFL) [3], ELM suggests that the hidden layer parameters of a neural network play an important role but does not need update during training [4,5]

  • We evaluate our method on 26 widely used classification datasets taken from University of California at Irvine (UCI) repository

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Summary

Introduction

Extreme Learning Machine (ELM) [1,2] was developed as a simple but effective learning model for classification and regression problems. As it is a special form of random vector functional-link network (RVFL) [3], ELM suggests that the hidden layer parameters of a neural network play an important role but does not need update during training [4,5]. A large number of ELM variants have been proposed and widely applied to biomedical data analysis [6], computer vision [7], system modeling and prediction [8,9], and so on

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