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A. L. M. Levada

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Preprint Aug 2026

Shape Operator PCA: Curvature-Aware Projections for Geometric Machine Learning

SHOPCA is computationally tractable, parameter-efficient, and applicable to domains requiring fully unsupervised, geometry-aware dimensionality reduction, and surpasses UMAP on small-sample settings, where iterative neighborhood-based manifold estimation can degrade.

A. L. M. Levada · 0 citations
#artificial intelligence Preprint Aug 2026

Curvature-Aware Radius Shrinkage for Adaptive Nearest Neighbor Classification

Curvature-Aware Radius Shrinkage for Adaptive Nearest Neighbor Classification (CARSANN) is introduced, a geometry-driven framework that adapts the spatial support of each neighborhood according to local geometric complexity and is competitive with adaptive nearest-neighbor methods.

A. L. M. Levada · 0 citations

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