minterpy: Multivariate Interpolation in Python


minterpy: Multivariate Interpolation in Python

Schreiber, J.; Wicaksono, D. C.; Thekke Veettil, S. K.; Hajizade, A.; Zavalani, G.; Suarez Cardona, J. E.; Hernandez Acosta, U.; Hecht, M.

Abstract

Many solutions to the computational challenges arising in the fields of computational science and engineering rely on solving interpolation tasks of highly-varying sparse and scattered data. The tasks include surrogate modeling, sparse data regression, global black-box optimization, model inference, as well as solutions for partial differential equations (PDE) on complex geometries.

Interpolation tasks in multi-dimensional space typically suffer from the curse of dimensionality in which the computational cost of interpolation scales exponentially with the number of dimensions.

The open-source Python package minterpy developed and maintained by the Hecht-Lab, CASUS, aims to lift the curse of dimensionality from a brand field of interpolation tasks arising across scientific disciplines.

Keywords: interpolation; multivariate interpolation; surrogate modeling; sparse data regression; global black-box optimization; model inference; partial differential equations (PDE)

  • Open Access Logo Poster
    Big data analytical methods for complex systems, 06.-07.10.2022, Wroclaw, Poland

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