Probabilist Set Inversion using a new framework for interval arithmetic
arXiv:1111.0167h-index: 21
Originality Synthesis-oriented
AI Analysis
This work addresses the need for better-defined inclusion functions in interval arithmetic for set inversion, but appears incremental in nature.
The paper introduces a new interval arithmetic framework based on free algebra to improve inclusion functions for interval semi-groups and vector spaces, and presents the psi-algorithm for set inversion with numerical examples in Python.
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.