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Marks: A New Interval Tool for Uncertainty, Vagueness and Indiscernibility
The system of marks created by Dr. Ernest Gardenyes and Dr. Lambert Jorba was first published as a doctoral thesis in 2003 and then as a chapter in the book Modal Interval Analysis in 2014.
Miguel A. Sainz +4 more
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Chebyshev model arithmetic for factorable functions [PDF]
This article presents an arithmetic for the computation of Chebyshev models for factorable functions and an analysis of their convergence properties. Similar to Taylor models, Chebyshev models consist of a pair of a multivariate polynomial approximating ...
Chachuat, B +3 more
core +3 more sources
An Overview of Neural Network Methods for Predicting Uncertainty in Atmospheric Remote Sensing
In this paper, we present neural network methods for predicting uncertainty in atmospheric remote sensing. These include methods for solving the direct and the inverse problem in a Bayesian framework. In the first case, a method based on a neural network
Adrian Doicu +4 more
doaj +1 more source
Interval Term Rewriting System: Toward A Formal Model for Interval Computation
We present a term rewriting system for interval arithmetic (addition, subtraction and multiplication), toward a mathematical model for interval compu- tation.
A.X. Carvalho, R.H.N. Santiago
doaj +1 more source
Arpra: An Arbitrary Precision Range Analysis Library
Motivated by the challenge of investigating the reproducibility of spiking neural network simulations, we have developed the Arpra library: an open source C library for arbitrary precision range analysis based on the mixed Interval Arithmetic (IA)/Affine
James Paul Turner, Thomas Nowotny
doaj +1 more source
Three dimensional extension of Bresenham’s algorithm with Voronoi diagram [PDF]
Bresenham’s algorithm for plotting a two-dimensional line segment is elegant and efficient in its deployment of mid-point comparison and integer arithmetic. It is natural to investigate its three-dimensional extensions.
Au, Chi Kit, Woo, Tony
core +2 more sources
Multidimensional solution of fuzzy linear programming [PDF]
There are several approaches to address fuzzy linear programming problems (FLPP). However, due to using standard interval arithmetic (SIA), these methods have some limitations and are not complete solutions.
Seyyed Ahmad Edalatpanah
doaj +2 more sources
Guaranteed Proofs Using Interval Arithmetic [PDF]
International audienceThis paper presents a set of tools for mechanical reasoning of numerical bounds using interval arithmetic. The tools implement two techniques for reducing decorrelation: interval splitting and Taylor's series expansions.
Daumas, Marc +2 more
core +4 more sources
A method based on an interval arithmetic is proposed to analyze uncertain factors such as the curvature radii, excitation amplitude, and excitation phase of a spherical conformal array antenna.
Guangda Ding +4 more
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Hardware Support for Interval Arithmetic [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kirchner, Reinhard, Kulisch, Ulrich W.
openaire +3 more sources

