Tangent blow-ups lift non-manifold geometry into position-tangent space to enable differential operators at singularities.
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A review of manifold fitting that distinguishes it from embedding and denoising, covers its evolution from early nonparametric methods through mathematical insights to modern statistical approaches, and highlights applications in neural networks and bioinformatics.
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Tangent Blow-Ups for Processing Non-Manifold Geometry
Tangent blow-ups lift non-manifold geometry into position-tangent space to enable differential operators at singularities.
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Manifold Fitting: A Review of Methods and Applications
A review of manifold fitting that distinguishes it from embedding and denoising, covers its evolution from early nonparametric methods through mathematical insights to modern statistical approaches, and highlights applications in neural networks and bioinformatics.