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تجزیه ماتریس نامنفی (NMF)×خوشه‌بندی K-Means×
حوزهیادگیری ماشینیادگیری ماشین
خانوادهLatent structureMachine learning
سال پیدایش19991967
پدیدآورLee, D. D. & Seung, H. S.MacQueen, J.
نوعMatrix decomposition with non-negativity constraintsPartitional clustering (centroid-based)
منبع بنیادینLee, D. D., & Seung, H. S. (1999). Learning the parts of objects by non-negative matrix factorization. Nature, 401(6755), 788–791. DOI ↗MacQueen, J. (1967). Some Methods for Classification and Analysis of Multivariate Observations. Proceedings of the 5th Berkeley Symposium on Mathematical Statistics and Probability, 1, 281–297. link ↗
نام‌های دیگرNMF, NNMF, nonnegative matrix factorization, non-negative matrix approximationK-Ortalamalar Kümeleme, k-ortalamalar kümeleme, k-means, centroid clustering
مرتبط43
خلاصهNon-negative Matrix Factorization (NMF) is a family of algorithms, introduced by Lee and Seung in their landmark 1999 Nature paper, that decomposes a non-negative data matrix V into the product of two lower-rank non-negative matrices W (basis components) and H (encoding coefficients). Unlike PCA or SVD, the non-negativity constraint forces the algorithm to learn strictly additive, parts-based representations, making the factors directly interpretable as building blocks of the original data.K-Means Clustering is a centroid-based partitional clustering algorithm, traced to J. MacQueen in 1967, that splits data into k clusters by assigning each observation to its nearest cluster centre. It is widely used for marketing segmentation, customer grouping, and exploratory analysis.
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ScholarGateمقایسهٔ روش‌ها: Non-negative Matrix Factorization · K-Means Clustering. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare