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ProbNum: Probabilistic Numerics in Python

3 December 2021
Jonathan Wenger
Nicholas Kramer
Marvin Pfortner
Jonathan Schmidt
Nathanael Bosch
N. Effenberger
Johannes Zenn
A. Gessner
Toni Karvonen
F. Briol
Maren Mahsereci
Philipp Hennig
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Abstract

Probabilistic numerical methods (PNMs) solve numerical problems via probabilistic inference. They have been developed for linear algebra, optimization, integration and differential equation simulation. PNMs naturally incorporate prior information about a problem and quantify uncertainty due to finite computational resources as well as stochastic input. In this paper, we present ProbNum: a Python library providing state-of-the-art probabilistic numerical solvers. ProbNum enables custom composition of PNMs for specific problem classes via a modular design as well as wrappers for off-the-shelf use. Tutorials, documentation, developer guides and benchmarks are available online at www.probnum.org.

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