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Surrogate-assisted Evolutionary Computation
Konečný, Štěpán ; Dobrovský, Ladislav (referee) ; Kůdela, Jakub (advisor)
This thesis deals with the optimization of flight profile design using surrogate models with differential evolution. The aim was to become familiar with the problem and possible solution procedures. The main objective was to create a surrogate model, implement it on the problem and then optimize it. In the introduction of the paper, the used surrogate models and evolutionary algorithms are described in detail. Subsequently, the control method, the optimization of expensive problems, the data acquisition issues for surrogate models and examples of practical applications of surrogate models are described. The paper concludes with a description of the optimization procedure and the results obtained by optimizing the flight profile design using the selected surrogate models, followed by an evaluation.
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Surrogate-assisted Evolutionary Computation
Konečný, Štěpán ; Dobrovský, Ladislav (referee) ; Kůdela, Jakub (advisor)
This thesis deals with the optimization of flight profile design using surrogate models with differential evolution. The aim was to become familiar with the problem and possible solution procedures. The main objective was to create a surrogate model, implement it on the problem and then optimize it. In the introduction of the paper, the used surrogate models and evolutionary algorithms are described in detail. Subsequently, the control method, the optimization of expensive problems, the data acquisition issues for surrogate models and examples of practical applications of surrogate models are described. The paper concludes with a description of the optimization procedure and the results obtained by optimizing the flight profile design using the selected surrogate models, followed by an evaluation.
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Multivariate smooth interpolation that employs polyharmonic functions
Segeth, Karel
We study the problém of construction of the smooth interpolation formula presented as the minimizer of suitable functionals subject to interpolation constraints. We present a procedure for determining the interpolation formula that in a natural way leads to a linear combination of polyharmonic splines complemented with lower order polynomials therms. In general, such formulae can be very useful e.g. in geographic information systems or computer aided geometric design. A simple computational example is presented.
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