倒转 发表于 2025-3-25 07:20:35

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用树皮 发表于 2025-3-25 11:25:35

Background on KernelsIn functional analysis—a field of mathematics—there are various spaces of either data points or functions. For example, the Euclidean space is a subset of the Hilbert space, while the Hilbert space itself is a subset of the Banach space. The Hilbert space is a space of functions and its dimensionality is often considered to be high.

adipose-tissue 发表于 2025-3-25 14:38:16

Fisher Discriminant AnalysisFisher Discriminant Analysis (FDA) attempts to find a subspace that separates the classes as much as possible, while the data also become as spread as possible.

毛细血管 发表于 2025-3-25 15:48:55

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GROSS 发表于 2025-3-25 23:51:43

Locally Linear EmbeddingLocally Linear Embedding (LLE) is a nonlinear spectral dimensionality reduction method that can be used for manifold embedding and feature extraction.

echnic 发表于 2025-3-26 00:09:22

Laplacian-Based Dimensionality ReductionSpectral dimensionality reduction methods deal with the graph and geometry of data and usually reduce to an eigenvalue or generalized eigenvalue problem (see Chap. .).

GNAW 发表于 2025-3-26 06:49:47

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有罪 发表于 2025-3-26 10:58:53

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Valves 发表于 2025-3-26 13:13:59

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高兴一回 发表于 2025-3-26 20:18:02

Probabilistic Metric LearningIt was mentioned in Chap. . that metric learning can be divided into three types of learning—spectral, probabilistic and deep metric learning.
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查看完整版本: Titlebook: Elements of Dimensionality Reduction and Manifold Learning; Benyamin Ghojogh,Mark Crowley,Ali Ghodsi Textbook 2023 The Editor(s) (if appli