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# Graph-Multi-NMF-Feature-Clustering | ||
Codes for __Feature Extraction via Multi-view Non-negative Matrix Factorization with Local Graph Regularization__ | ||
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## Introduction | ||
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Codes for __Feature Extraction via Multi-view Non-negative Matrix Factorization with Local Graph Regularization__. | ||
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Motivated by manifold learning and multi-view Non-negative Matrix Factorization (NMF), we introduce a novel feature extraction method via multi-view NMF with local graph regularization, where the inner-view relatedness between data is taken into consideration. We propose the matrix factorization objective function by constructing a nearest neighbor graph to integrate local geometrical information of each view and apply two iterative updating rules to effectively solve the optimization problem. | ||
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Please cite the following information: | ||
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``` | ||
@inproceedings{wang2015multi, | ||
title={Feature Extraction via Multi-view Non-negative Matrix Factorization with Local Graph Regularization}, | ||
author={Wang, Zhenfan and Kong, Xiangwei and Fu, Haiyan and Li, Ming and Zhang, Yujia}, | ||
booktitle={Image Processing (ICIP), 2015 IEEE International Conference on}, | ||
year={2015}, | ||
organization={IEEE} | ||
} | ||
``` | ||
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## Demo | ||
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There is a demo in `GMultiNMF/demo_digit.m` working for hand-written digits recognition. See releases to download the full demo with dataset. | ||
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## Results | ||
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The accuracy (AC) and normalized mutual information (NMI) of different algorithms on three datasets: | ||
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![1](https://cloud.githubusercontent.com/assets/853842/8086601/c6d273f2-0fc8-11e5-8ceb-85c84239ec06.png) | ||
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![2](https://cloud.githubusercontent.com/assets/853842/8086602/c70111a8-0fc8-11e5-9f6e-63f4d02a67b7.png) | ||
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From the tables, we can see that our proposed algorithm performs better in each dataset in terms of AC and NMI. Although other methods consider multiple feature integration, Co-reguSC and SC-ML use latent data relationship, the results demonstrate that our proposed Multi-view NMF with local graph regularization feature extraction framework can learn a better feature representation. |