Fisher Discriminant Analysis with New Between-class Scatter Matrix for Audio Signal Classification

2011 ◽

Vol 317-319 ◽

pp. 150-153

Author(s):

Wan Li Feng ◽

Shang Bing Gao

Keyword(s):

Discriminant Analysis ◽

Nearest Neighbor ◽

Small Sample Size ◽

Small Sample ◽

K Nearest Neighbor ◽

Small Sample Size Problem ◽

Fisher Discriminant Analysis ◽

Singularity Problem ◽

Scatter Matrix ◽

Fisher Discriminant

In this paper, a reformative scatter difference discriminant criterion (SDDC) with fuzzy set theory is studied. The scatter difference between between-class and within-class as discriminant criterion is effective to overcome the singularity problem of the within-class scatter matrix due to small sample size problem occurred in classical Fisher discriminant analysis. However, the conventional SDDC assumes the same level of relevance of each sample to the corresponding class. So, a fuzzy maximum scatter difference analysis (FMSDA) algorithm is proposed, in which the fuzzy k-nearest neighbor (FKNN) is implemented to achieve the distribution information of original samples, and this information is utilized to redefine corresponding scatter matrices which are different to the conventional SDDC and effective to extract discriminative features from overlapping (outlier) samples. Experiments conducted on FERET face databases demonstrate the effectiveness of the proposed method.

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The Scalable Version of Probabilistic Linear Discriminant Analysis and Its Potential as A Classifier for Audio Signal Classification

2018 International Joint Conference on Neural Networks (IJCNN) ◽

10.1109/ijcnn.2018.8488995 ◽

2018 ◽

Author(s):

Yuechi Jiang ◽

H. F. Frank Leung

Keyword(s):

Discriminant Analysis ◽

Linear Discriminant Analysis ◽

Audio Signal ◽

Signal Classification ◽

Linear Discriminant ◽

Audio Signal Classification

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Optimal multi-kernel local fisher discriminant analysis for feature dimensionality reduction and fault diagnosis

Proceedings of the Institution of Mechanical Engineers Part O Journal of Risk and Reliability ◽

10.1177/1748006x211009335 ◽

2021 ◽

pp. 1748006X2110093

Author(s):

Qing Zhang ◽

Heng Li ◽

Xiaolong Zhang ◽

Haifeng Wang

Keyword(s):

Fault Diagnosis ◽

Discriminant Analysis ◽

Feature Space ◽

High Dimensional ◽

Fisher Discriminant Analysis ◽

Vibration Signals ◽

Fisher Discriminant ◽

Local Fisher Discriminant Analysis ◽

Diagnosis Accuracy ◽

Diagnosis Model

To achieve a more desirable fault diagnosis accuracy by applying multi-domain features of vibration signals, it is significative and challenging to refine the most representative and intrinsic feature components from the original high dimensional feature space. A novel dimensionality reduction method for fault diagnosis is proposed based on local Fisher discriminant analysis (LFDA) which takes both label information and local geometric structure of the high dimensional features into consideration. Multi-kernel trick is introduced into the LFDA to improve its performance in dealing with the nonlinearity of mapping high dimensional feature space into a lower one. To obtain an optimal diagnosis accuracy by the reduced features of low dimensionality, binary particle swarm optimization (BPSO) algorithm is utilized to search for the most appropriate parameters of kernels and K-nearest neighbor (kNN) recognition model. Samples with labels are used to train the optimal multi-kernel LFDA and kNN (OMKLFDA-kNN) fault diagnosis model to obtain the optimal transformation matrix. Consequently, the trained fault diagnosis model implements the recognition of machinery health condition with the most representative feature space of vibration signals. A bearing fault diagnosis experiment is conducted to verify the effectiveness of proposed diagnostic approach. Performance comparison with some other methods are investigated, and the improvement for fault diagnosis of the proposed method are confirmed in different aspects.

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