Probabilist Set Inversion using a new framework for interval arithmetic
Abdelouahab Kenoufi, Nicolas Goze, Michel Goze
TL;DR
This paper introduces a novel interval arithmetic framework based on free algebra to improve set inversion methods, demonstrating the approach with numerical examples implemented in Python.
Contribution
It presents a new algebraic framework for interval arithmetic and the psi-algorithm for set inversion, enhancing existing methods.
Findings
Improved inclusion functions for interval semi-groups
Development of the psi-algorithm for set inversion
Numerical examples implemented in Python
Abstract
In this paper, we present how to use a free algebra based interval arithmetics framework in order to build better defined inclusion function for interval semi-group and for its associated vector space. One introduces the psi-algorithm, which performs set inversion of functions and exhibits some numerical examples developped with the python programming langage.
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Taxonomy
TopicsNumerical Methods and Algorithms · Neural Networks and Applications · Control Systems and Identification