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hades
HADES: Fast Singularity Detection with Kernel
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type/singularity-detection
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From the docs:

HADES is a fast singularity detection algorithm. Singularities are points in data where the Manifold Hypothesis fails, such as cusps and self-intersections. HADES does not use topological methods, and instead works by (1) Locally applying dimensionality reduction and then (2) Performing a kernel goodness-of-fit test.