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- W4296972941 abstract "The model described in this paper belongs to the family of non-negative matrix factorization methods designed for data representation and dimension reduction. In addition to preserving the data positivity property, it aims also to preserve the structure of data during matrix factorization. The idea is to add, to the NMF cost function, a penalty term to impose a scale relationship between the pairwise similarity matrices of the original and transformed data points. The solution of the new model involves deriving a new parametrized update scheme for the coefficient matrix, which makes it possible to improve the quality of reduced data when used for clustering and classification. The proposed clustering algorithm is compared to some existing NMF-based algorithms and to some manifold learning-based algorithms when applied to some real-life datasets. The obtained results show the effectiveness of the proposed algorithm." @default.
- W4296972941 created "2022-09-25" @default.
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- W4296972941 date "2022-09-22" @default.
- W4296972941 modified "2023-09-26" @default.
- W4296972941 title "Non-Negative Matrix Factorization with Scale Data Structure Preservation" @default.
- W4296972941 doi "https://doi.org/10.48550/arxiv.2209.10881" @default.
- W4296972941 hasPublicationYear "2022" @default.
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