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Online incremental learning for tool condition classification using modified Fuzzy ARTMAP network

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Abstract

Condition monitoring of tool wear is paramount for guaranteeing the quality of workpiece and improving the lifetime of the cutter. To improve the training speed and the flexibility of the incremental learning, a modified Fuzzy ARTMAP classifier is developed in which the resonance layer is linked with the category node directly by many to one mapping. Therefore, the weight value and model structure can be updated simultaneously during the online incremental learning process. To testify the effectiveness of the presented method, experiments of tool condition classification in the process of end milling of Titanium alloy are carried out and two incremental learning cases are simulated. The analysis of online learning process in both cases shows that the structure and parameters of the model can be adjusted automatically without requiring access to the previous training data. At the same time, the accuracy analysis demonstrates that the presented method has strong ability to learn the new knowledge without forgetting the previous knowledge.

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Abbreviations

\(a=\{x_{1}, x_{2}, x_{3},{\ldots } x_{M}\}\) :

Original feature vectors

\(a^{c}\) :

Complement code of \(a\)

\(A\) :

Input vectors

\(C\) :

Index of chosen class label

\(j\) :

Index of ART node

\(J\) :

Index of chosen ART node

\(k\) :

Index of class label

\(K\) :

Number of categories

\(K\!(j)\) :

Class prediction function

\(M\) :

Length of feature vectors

\(N\) :

Number of ART node

\(T_{j}\) :

Activity function

\(w_{j}\) :

Weight value of ART node \(j\)

\(w_J^{new} \) :

New weight value of the committed node

\(w_J^{old} \) :

Original weight value of the committed node

\(W_{jk}\) :

Binary weight value of mapping layer

\(\alpha \) :

Choice parameter

\(\beta \) :

Learning rate

\(\rho \) :

Vigilance parameter

\({\bar{\rho }}\) :

Baseline vigilance parameter

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Acknowledgments

This project is supported by National Natural Science Foundation of China (51175371).

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Authors and Affiliations

  1. Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, Tianjin, 300072, China

    Guofeng Wang, Zhiwei Guo & Lei Qian

Authors
  1. Guofeng Wang
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  2. Zhiwei Guo
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  3. Lei Qian
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Correspondence to Guofeng Wang.

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Wang, G., Guo, Z. & Qian, L. Online incremental learning for tool condition classification using modified Fuzzy ARTMAP network. J Intell Manuf 25, 1403–1411 (2014). https://doi.org/10.1007/s10845-013-0738-x

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  • DOI: https://doi.org/10.1007/s10845-013-0738-x

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