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0111 · Feb 201519922001200920172026
3 results for average-K

We propose a non-parametric anomaly detection algorithm for high dimensional data. We score each datapoint by its average KK-NN distance, and rank them accordingly. We then train limited complexity models to imitate these scores based on the max-margin learning-to-rank framework. A test-point is declared as an anomaly…

2015-02-06abs ↗pdf ↗

New curvature K(x) measures manifold properties without integrals.

problem Understanding curvature on compact Riemannian manifolds.
method Developed index expectation curvature K(x) for 2D manifolds, constructed as a product of sectional index expectation curvatures.
result For small 2D manifolds with boundary, definite sign index expectation curvature K(x) exists and satisfies Gauss-Bonnet relation.