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M. Rezaei, R. Boostani and M. Rezaei

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Presentation on theme: "M. Rezaei, R. Boostani and M. Rezaei"— Presentation transcript:

1 An Efficient Initialization Method for Nonnegative Matrix Factorization
M. Rezaei, R. Boostani and M. Rezaei Journal of Applied Sciences, 11: ,2011 Presenter Chia-Cheng Chen

2 Outline Introduction Background review Results and discussion

3 Introduction Although Non-negative Matrix Factorization has been employed in real applications but it still suffers from three shortcomings in terms of finding a suitable initialization method. Enhance NMF performance using Fuzzy C-Means Clustering

4 Background review Non-negative Matrix Factorization Fuzzy C Means

5 Background review The NMF method attempts to find a solution in order to decompose a given non-negative matrix A∈Rmxn into multiplication of two non-negative matrices w∈Rmxk and H∈Rkxn 

6 Background review Local Nonnegative Matrix Factorization (LNMF)
where, α, β>0 are constants and U = WTW and V = HHT

7 Background review Fuzzy C Means

8 Background review Facial expression recognition Fixed geometry size
Normalized in the interval of 0 to 1

9 Results and discussion
JAFFE dataset is used containing 213 images include 7 facial expressions consisting 6 basic facial expressions and neutral expression that posed by 10 Japanese female models. 

10 Results and discussion

11 Results and discussion

12 Results and discussion
NMF is a part based representation that has been applied to many applicable such as dimension reduction, image segmentation, image compression and document clustering. 


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