Manifold embeddings by heat kernels of connection Laplacian (Q2691627)
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scientific article; zbMATH DE number 7669380
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Manifold embeddings by heat kernels of connection Laplacian |
scientific article; zbMATH DE number 7669380 |
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Manifold embeddings by heat kernels of connection Laplacian (English)
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29 March 2023
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The author states that one can construct an embedding of a manifold with heat kernels of the connection Laplacian that can be made arbitrarily close to an isometry. To do this, the author sets up a fundamental solution from scratch using the parametrix method and uses the techniques employed by \textit{J. W. Portegies} [Commun. Pure Appl. Math. 69, No. 3, 478--518 (2016; Zbl 1341.58022)].
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diffusion maps
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vector diffusion maps
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embedding dimensions
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almost isometric embedding
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dimension reduction
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heat kernels
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