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An Introduction to Affine Arithmetic
Trends in Computational and Applied Mathematics, 2003 Affine arithmetic (AA) is a model for self-validated computation which, like standard interval arithmetic (IA), produces guaranteed enclosures for computed quantities, taking into account any uncertainties in the input data as well as all internal ...
J. Stolfi, L.H. de Figueiredo
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Cryptographic protection of RGB images using SPN over Eisenstein integer ring modulo Eisenstein prime [PDF]
Scientific ReportsThis research introduces a fortified cryptographic paradigm for safeguarding RGB image data, founded upon a substitution–permutation network (SPN) architecture defined over the residue class rings of Eisenstein integers modulo a selected prime element ...
Muhammad Sajjad +4 more
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A novel color images security-based on SPN over the residue classes of quaternion integers $$\:\varvec{H}{\left(\mathbb{Z}\right)}_{\varvec{\pi\:}}$$ [PDF]
Scientific ReportsThe exponential growth of multimedia data transmission has intensified the demand for advanced image encryption systems capable of resisting contemporary cryptanalytic attacks while maintaining computational efficiency.
Muhammad Sajjad, Nawaf A. Alqwaifly
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Multiple color images security by SPN over the residue classes of Gaussian integer $$\:Z{\left[i\right]}_{h}$$ [PDF]
Scientific ReportsIn this paper, the authors present the design of a new pair of 8 × 8 S-boxes over the residue classes of Gaussian integers $$\:Z{\left[i\right]}_{h}$$ and their usage for the encryption of multiple RGB images using a three-stage Substitution-Permutation ...
Muhammad Sajjad +4 more
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Self-verified extension of affine arithmetic to arbitrary order
Le Matematiche, 2008 Affine Arithmetic (AA) is a self-verifying computational approach that keeps track of first-order correlation between uncertainties in the data and intermediate and final results.In this paper we propose a higher-order extension satisfying the requirements ...
Giuseppe Bilotta
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Bi-level Multi-objective Joint Planning of Distribution Networks Considering Uncertainties
Journal of Modern Power Systems and Clean Energy, 2022 With the increasing penetration of photovoltaics in distribution networks, the adaptability of distribution network under uncertainties needs to be considered in the planning of distribution systems.
Shouxiang Wang +3 more
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Arpra: An Arbitrary Precision Range Analysis Library
Frontiers in Neuroinformatics, 2021 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
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Split and Merge Strategies for Solving Uncertain Equations Using Affine Arithmetic [PDF]
EAI Endorsed Transactions on Industrial Networks and Intelligent Systems, 2016 The behaviour of systems is determined by various parameters. Due to several reasons like e. g. manufacturing tolerances these parameters can have some uncertainties.
Oliver Scharf +2 more
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Energy Science & Engineering, 2023 In the process of the district energy system (DES) operation and dispatching, there are various uncertainties brought by the strong coupling of equipment and the fluctuation of internal and external surroundings, and these uncertain parameters are often ...
Tianjie Liu +3 more
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Energy Reports, 2023 According to the energy consumption characteristics of gas stations, the district energy system (DES) based on natural gas and renewable energy is a suitable form of energy supply.
Tianjie Liu +3 more
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