Papers › PSI: Constructing ad-hoc Simplices to Interpolate High-Dimensional Unstructured Data

PSI: Constructing ad-hoc Simplices to Interpolate High-Dimensional Unstructured Data

28 Sep 2021arXiv:2109.13926links table onlyarchive 2025-07-28

Stefan Lüders, Klaus Dolag

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Interpolating unstructured data using barycentric coordinates becomes infeasible at high dimensions due to the prohibitive memory requirements of building a Delaunay triangulation. We present a new algorithm to construct ad-hoc simplices that are empirically guaranteed to contain the target coordinates, based on a nearest neighbor heuristic and an iterative dimensionality reduction through projection. We use these simplices to interpolate the astrophysical cooling function Λ and show that this new approach produces good results with just a fraction of the previously required memory.

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