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局部线性嵌入 (LLE)

局部线性嵌入(Locally Linear Embedding,简称LLE)由Sam Roweis和Lawrence Saul于2000年提出,是一种用于非线性降维的流形学习方法。它假设数据虽然可能在高维空间中弯曲,但每个点及其邻域近似位于一个平面区域上。LLE将每个点表示为其邻居的加权组合,然后找到一个低维布局,该布局保留了这些相同的局部关系,从而将弯曲结构展开成忠实的低维映射。

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来源

  1. Roweis, S. T., & Saul, L. K. (2000). Nonlinear dimensionality reduction by locally linear embedding. Science, 290(5500), 2323–2326. DOI: 10.1126/science.290.5500.2323

如何引用本页

ScholarGate. (2026, June 2). Locally Linear Embedding (LLE). ScholarGate. https://scholargate.app/zh/machine-learning/locally-linear-embedding

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被引用于

ScholarGateLocally Linear Embedding (Locally Linear Embedding (LLE)). 于 2026-06-15 检索自 https://scholargate.app/zh/machine-learning/locally-linear-embedding · 数据集: https://doi.org/10.5281/zenodo.20539026