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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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0111 · Nov 200819922001200920172026
2 results for “Helmholtzian”
Helmholtzian Eigenmap: Topological feature discovery & edge flow learning from point cloud datastat.ML

A new Helmholtzian operator from point clouds for flow analysis.

problem Analyzing flows and vector fields on manifolds from point cloud data.
method Estimation of manifold Helmholtzian from point cloud data using weighted 1-Laplacian.
result The Helmholtzian operator L1\mathcal L_1 effectively smooths, predicts, and extracts features from flows on manifolds.
HelmholtzianLaplacianPoint cloudFlow analysisTopological data analysis
2021-03-13abs ↗pdf ↗
Statistical ranking and combinatorial Hodge theorystat.ML

We propose a number of techniques for obtaining a global ranking from data that may be incomplete and imbalanced -- characteristics almost universal to modern datasets coming from e-commerce and internet applications. We are primarily interested in score or rating-based cardinal data. From raw ranking data, we construc…

2008-11-07abs ↗pdf ↗