Mathematical Tools of Informatics
| Type of study | Follow-up Master |
|---|---|
| Language of instruction | Czech |
| Code | 654-3001/01 |
| Abbreviation | MPI |
| Course title | Mathematical Tools of Informatics |
| Credits | 5 |
| Coordinating department | Department of Industrial Systems Management |
| Course coordinator | Ing. Martin Lampa, Ph.D. |
Subject syllabus
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.
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.
E-learning
Literature
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 .
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 .
Doporučená literatura
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 .
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 .