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.
Estimation of Riemannian quantities from noisy data via density derivatives.arXiv preprint arXiv:2603.27171, 2026
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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.