Titlebook: NumericalInfinities and Infinitesimals in Optimization; Yaroslav D. Sergeyev,Renato De Leone Book 2022 The Editor(s) (if applicable) and T

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On the Use of Grossone Methodology for Handling Priorities in Multi-objective Evolutionary Optimizatinite and infinitesimal numbers. Most interestingly, this technique can be easily embedded in most of the existing evolutionary algorithms, without altering their core logic. Three algorithms for MPL-MOPs are shown: the first two, called PC-NSGA-II and PC-MOEA/D, are the generalization of NSGA-II an

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Exact Numerical Differentiation on?the?Infinity Computer and?Applications in?Global Optimizationise quadratic support functions and their convergence conditions are discussed. All the methods are implemented both in the traditional floating-point arithmetic and in the Infinity Computing framework.

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Comparing Linear and Spherical Separation Using Grossone-Based Numerical Infinities in Classificatio selected far from both the two sets, obtaining in this way a kind of linear separation. This approach is easily extensible to the margin concept (of the type adopted in the Support Vector Machine technique) and to MIL problems. Some numerical results are reported on classical binary datasets drawn

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Computing Optimal Decision Strategies Using the Infinity Computer: The Case of Non-Archimedean Zero-Simplex algorithm called Gross-Matrix-Simplex. Four numerical experiments served as test cases to verify the effectiveness and correctness of the new algorithm. Moreover, these studies helped in stressing the difference between numerical and symbolic calculations: indeed, the solution output by the

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NumericalInfinities and Infinitesimals in Optimization

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2194-7287 omputerscience..“Mathematicians have never been comfortable handling infinities… But an entirely new type of mathematics looks set to by-pass the problem… Today, Yaroslav Sergeyev, a mathematician at the Univer978-3-030-93644-0978-3-030-93642-6Series ISSN 2194-7287 Series E-ISSN 2194-7295

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Marco Cococcioni,Alessandro Cudazzo,Massimo Pappalardo,Yaroslav D. Sergeyev

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Manlio Gaudioso,Giovanni Giallombardo,Marat S. Mukhametzhanov

血統(tǒng)

Leonardo Lai,Lorenzo Fiaschi,Marco Cococcioni,Kalyanmoy Deb