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Ukončeno v akademickém roce 2021/2022

Mathematical Tools of Informatics

Type of study Follow-up Master
Language of instruction Czech
Code 638-3001/01
Abbreviation MPI
Course title Mathematical Tools of Informatics
Credits 7
Coordinating department Department of Automation and Computing in Industry
Course coordinator doc. Ing. Jiří David, Ph.D.

Osnova předmětu

1. Errors, sources and types errors. Rounding error. Errors of method.
2. Incomplete numbers and number representation in computer. Correctitude, conditionality and stability numerical problems.
3. Optimalization problems. Classification of optimization methods.
4. Principles of basic of optimization methods. Evolutional methods.
5. Principle of genetic algorithm.
6. Fitness value. Code of strings.
7. Termination of genetic algorithm. Stagnation of genetic algorithm.
8. Selection of strings. Principles of particular method of selection.
9. Crossing. Mutation. Types of mutation
10. Variants of genetic algoritm.
11. Principle of evolutional strategy. Principle of differential evolution. Principle of SOMA. Principle of UIS.
12. Data warehouse.
13. Data mining. Data mining problems.
14. Principle of methodology CRISP- DM.
15. Data miningu methods . Principle of decision - making trees.

Povinná literatura

WITTEN I. H., E. FRANK and M.A. HALL. Data Mining: Practical Machine Learning Tools and Techniques: Practical Machine Learning Tools and Techniques. Elsevier, 2011. ISBN 0080890369 .
KIM, K. et. al. Genetic Algorithms.: Concepts and Designs. London: Springer, 1999. ISBN 1852330724 .
TAN P. N.: Introduction To Data Mining. Pearson Education, 2007. ISBN 8131714721 .
BACK, T. Evolutionary Algorithms in Theory and Practice : Evolution Strategies, Evolutionary Programming, Genetic Algorithms. Oxford: Oxford University Press, 1995. ISBN 0195356705 .

Advised literature

KIUSALAAS, J. Numerical Methods in Engineering with MATLAB. Cambridge: Cambridge University Press, 2015. ISBN: 9781107120570 .
CHARTIER, T. P. and A. GREENBAUM. Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms. Princeton :Princeton University Press. 2012. ISBN: 978-0691151229 .
WALTER J. G. and T. L. VINCENT Modern control systems analysis and design. New York : John Wiley & Sons, Inc., 1993. ISBN 0-471-81193-9.

YAO, X. Evolutionary Computation: Theory and Applications. World Scientific, 1999. ISBN 9810223064 .


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