Abstract

This paper represents a semi-supervised learning framework, which integrates multi-view learning, extreme learning machine (ELM) and graph-based semi-supervised learning. The aim is to expand the scope of adaptation of non-negative sparse graph (NNSG) framework, under a multi-view condition and a non-linear relationship. The proposed multi-view learning method will be adaptive since when data is single-view the framework will degenerate into an embedded framework for NNSG framework. The proposed ELM method also will be adaptive since the number of hidden layer neuron will change with different number of input and output layer neuron. The combination of both proposed methods outperforms traditional graph-based semi-supervised learning, such as flexible manifold embedding (FME) and NNSG framework, which can not establish an affinity matrix for multi-view and can not establish a non-liner model for unknown data. Unlike traditional graph-based semi-supervised learning methods, which only can label propagation and build linear regression models for single or multi-view data, our proposed method has an obvious advantage that is applicable to any single or multi-view data, and builds linear or non-linear models. We provides extensive experiments on four public database in order to evaluate the performance of the proposed method. These experiments demonstrate significant improvement over the state-of-the-art algorithms in label propagation and processing of new data.

Highlights

  • The supervised training is always insufficient because the labeling data requires expensive cost

  • We propose a novel adaptive multi-view non-negative graph semi-supervised extreme learning machine (ELM)(AMNNSG-ELM) inspired by SS-ELM, multi-view learning and non-negative sparse graph (NNSG) framework

  • According to the results we can know that AMNNSG-ELM framework is superior to flexible manifold embedding (FME), NNSG, a multi-view semi-supervised learning [20] in the accuracy of label propagation and the prediction accuracy of new samples

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Summary

INTRODUCTION

The supervised training is always insufficient because the labeling data requires expensive cost. Based on LCC and FME method Fang et al [18] proposed Learning a Nonnegative Sparse Graph for Linear Regression(NNSG) semi-supervised framework. This method improves the performance of FME framework in multi-view condition This method improves the discriminant power in multi-view data, it still have suitable sparsity and adaptive neighborhood problem. Because this method using traditional graph construction methods. In [28], the authors proposed adaptive safe semi-supervised extreme machine learning (Adap-SaSSL) framework This framework can adaptive calculation of the safety degree of each unlabeled, they did not consider the case of multi-view data. We propose a novel adaptive multi-view non-negative graph semi-supervised ELM(AMNNSG-ELM) inspired by SS-ELM, multi-view learning and NNSG framework.

NOTATIONS
OBJECTIVE FUNCTION
10: Until convergence
9: Until convergence
EXPERIMENT
EVALUATION METRICS
CONCLUSION
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