Confronta i metodi
Esamina i metodi selezionati fianco a fianco; le righe che differiscono sono evidenziate.
| UMAP× | Clustering K-means× | Analisi delle Componenti Principali× | |
|---|---|---|---|
| Campo | Apprendimento automatico | Apprendimento automatico | Apprendimento automatico |
| Famiglia | Machine learning | Machine learning | Machine learning |
| Anno di origine≠ | 2018 | 1967 (formalized 1982) | 2002 |
| Ideatore≠ | McInnes, L.; Healy, J.; Melville, J. | MacQueen, J. B.; Lloyd, S. P. | Jolliffe, I.T. (textbook); Pearson & Hotelling (origins) |
| Tipo≠ | Nonlinear manifold-learning dimension reduction | Partitional clustering | Unsupervised dimensionality reduction |
| Fonte seminale≠ | McInnes, L., Healy, J. & Melville, J. (2018). UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction. arXiv:1802.03426. link ↗ | Lloyd, S. P. (1982). Least squares quantization in PCM. IEEE Transactions on Information Theory, 28(2), 129–137. DOI ↗ | Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗ |
| Alias≠ | UMAP (Uniform Manifold Approximation and Projection), uniform manifold approximation and projection, manifold dimension reduction | k-means clustering, Lloyd's algorithm, k-means partitioning, hard k-means | Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform |
| Correlati≠ | 5 | 4 | 3 |
| Sintesi≠ | UMAP (Uniform Manifold Approximation and Projection) is a fast, scalable nonlinear dimension-reduction method grounded in manifold-learning theory, introduced by McInnes, Healy and Melville in 2018. It compresses high-dimensional data into a low-dimensional embedding for visualisation and downstream analysis. | K-means is a classic unsupervised partitional clustering algorithm that divides a dataset into K non-overlapping groups by iteratively assigning each observation to its nearest centroid and updating centroids as the mean of their assigned points. It is one of the most widely used exploratory tools in machine learning and data analysis. | Principal Component Analysis (PCA) is an unsupervised dimensionality-reduction method — given its modern textbook treatment by Ian Jolliffe (2002) — that compresses high-dimensional data into fewer dimensions while preserving the maximum possible variance. It re-expresses correlated variables as a small set of uncorrelated principal components ordered by how much of the data's variation each one captures. |
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