Probabilistic Numerical Methods - From Theory to Implementation (Dagstuhl Seminar 21432)

Authors Philipp Hennig, Ilse C.F. Ipsen, Maren Mahsereci, Tim Sullivan and all authors of the abstracts in this report



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Author Details

Philipp Hennig
  • Universität Tübingen, DE
Ilse C.F. Ipsen
  • North Carolina State University - Raleigh, US
Maren Mahsereci
  • Universität Tübingen, DE
Tim Sullivan
  • University of Warwick - Coventry, GB
and all authors of the abstracts in this report

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Philipp Hennig, Ilse C.F. Ipsen, Maren Mahsereci, and Tim Sullivan. Probabilistic Numerical Methods - From Theory to Implementation (Dagstuhl Seminar 21432). In Dagstuhl Reports, Volume 11, Issue 9, pp. 102-119, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
https://doi.org/10.4230/DagRep.11.9.102

Abstract

Numerical methods provide the computational foundation of science, and power automated data analysis and inference in its contemporary form of machine learning. Probabilistic numerical methods aim to explicitly represent uncertainty resulting from limited computational resources and imprecise inputs in these models. With theoretical analysis well underway, software development is now a key next step to wide-spread success. This seminar brought together experts from the forefront of machine learning, statistics and numerical analysis to identify important open problems in the field and to lay the theoretical and practical foundation for a software stack for probabilistic numerical methods.

Subject Classification

ACM Subject Classification
  • Computing methodologies → Machine learning
  • Mathematics of computing → Numerical analysis
Keywords
  • Machine learning
  • Numerical analysis
  • Probabilistic numerics

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