Gurantor department | IT4Innovations | Credits | 10 |

Subject guarantor | prof. Ing. Ivan Zelinka, Ph.D. | Subject version guarantor | prof. Ing. Ivan Zelinka, Ph.D. |

Study level | postgraduate | Requirement | Choice-compulsory |

Year | Semester | winter + summer | |

Study language | Czech | ||

Year of introduction | 2015/2016 | Year of cancellation | |

Intended for the faculties | FEI, USP | Intended for study types | Doctoral |

Instruction secured by | |||
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Login | Name | Tuitor | Teacher giving lectures |

ZEL01 | prof. Ing. Ivan Zelinka, Ph.D. |

Extent of instruction for forms of study | ||
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Form of study | Way of compl. | Extent |

Full-time | Examination | 2+0 |

Part-time | Examination | 10+0 |

The aim of the course is to acquaint its students with unconventional algorithms from physical, biological processes and complex systems. The graduate will gain an overview of modern computational procedures based on principles observed from complex processes and dynamics. Upon successful completion of the course, the graduate will be able to apply the methods discussed in the course to real problems. This course is not a free continuation of the BIA course.

Lectures

Individual consultations

The aim of the lectures is to introduce to the students the problems of non-conventional algorithms, their biological - physical origin. The lectures will be discussed the various areas of their origin, usually from natural complex systems with an emphasis of their physical-mathematical and algorithmic description and implementation of the PC. The lectures will give the students an interdisciplinary perspective on the issue of non-conventional algorithms, complex systems and their dynamic behaviour. Students get an overview of modern computational algorithms allowing them to model and simulate the otherwise very complicated and complex systems (deterministic chaos, Thom's catastrophe theory, fractal geometry, swarm intelligence, algorithms, quantum mechanics, cellular automata, "physarium machines", "Self-Organized criticality", ...) and vice-versa will get insight on how are unconventional algorithms derived from above-mentioned complex systems. After successfully completing the course will have an interdisciplinary graduate survey knowledge of unconventional algorithms and will be able to apply the methods discussed in the course to real problems. Students should be able to continue further in deeper self-study in this topic.

1. Back T., Fogel D. B. & Michalewicz Z., Handbook of Evolutionary Computation, (Institute of Physics, London), 1997
2. Hilborn R.C.1994, Chaos and Nonlinear Dynamics, Oxford University Press, ISBN 0-19-508816-8, 1994
3. Ilachinsky A., Cellular Automata: A Discrete Universe, World Scientific Publishing, ISBN 978-9812381835, 2001

4. Bekenstein J. D., Information in the Holographic Universe, Scientific American, August, 2003
5. R. Gilmore 1993, Catastrophe Theory for Scientists and Engineers, John Wiley and Sons, ISBN 0-486-67-539-4, 1993
6. Gheorghe Paun (Author), Grzegorz Rozenberg (Author), Arto Salomaa, DNA Computing: New Computing Paradigms, Springer, ISBN 978-3540641964
7. Zelinka I, Celikovsky S, Richter H and Chen G., (2010) Evolutionary Algorithms and Chaotic Systems, (Eds), Springer, Germany, 550s, 2010.

The examination is based on the elaboration of the protocols of the subject, by which the student demonstrates not only the understanding of the lecture information but also the ability to implement them in the given programming environment. To obtain a credit, you must hand over all the required protocols and have at least 80% of physical attendance at the laboratories. Credit is a vital condition for admission to the exam. The exam is oral.

It is required the ability to create programs in arbitrary programming language and apply lecture knowledge into algorithms.
Additional requirements are not defined.

Subject has no prerequisities.

Subject has no co-requisities.

Lectures:
1. Complexity. The current state of understanding of complex systems and their classification. Synergetics. Demonstration-motivational examples and videos demonstrating the occurrence of the behaviour of complex systems in everyday real life.
2. Artificial neural networks (ANN), basic concepts, principles and classifications. Training set, structure and topology ANN. Type of learning. Separability.
3. Artificial neural networks (ANN), Perceptron, multilayer perceptron and backpropagation learning.
4. Artificial neural networks (ANN), design of network topology, unconventional learning methods, training set and its construction from data.
5. Artificial neural networks (ANN), Examples of use.
6. Algorithms of deterministic chaos. Historical outline and classification of dynamical systems generating chaos. Simple models and examples. Determinism and the edge of chaos (according to Kaufmann). Typical chaotic systems: Lorenzo's model of weather and a strange attractor, electronic system and the problem of three bodies (binary and planet model). Divergence of close trajectories. Determinism and unpredictability. Invariants of chaotic behaviour. Feigenbaum constants, self-similarity, U-sequences, computers and chaos. Discrete dynamical systems. Basic simple models, Poincaré sections, bifurcations, bifurcation diagram as a holistic view of system behaviour, algorithms and examples. From order to chaos: paths leading to chaotic behaviour. Period doubling, quasi-periodicity, alternation and crisis. Bifurcations and Thom's disasters. Algorithmization of chaotic behaviour and methods of reconstruction. Use in cryptographic techniques, chaos control and its occurrence in economic systems
7. Thom's theory of disasters and connection with chaotic behaviour. Introduction to the issue, basic models and hierarchy of disasters. Their occurrence in system dynamics and identification algorithms according to symptoms in the measured data. Examples of occurrence: economic systems, physical systems, mechanical systems.
8. Algorithms of fractal geometry and visualization of complex structures. IFS algorithm. History, the definition of fractal, basic types of algorithms generating fractals. Fractal dimensions, interpolation and compression.
9. Fractal geometry algorithms - TEA algorithm and Mandelbrot set, Julius sets and their graphical preview. development systems and artificial life. L-systems, turtle graphics, parametric L-systems, algorithmization of L-systems from the point of view of fractal geometry.
10. Algorithms of fractal geometry - occurrence in nature, data, behaviour of systems and technology. Applications in graphic design, art, computer games and film - video demonstrations.
11. Algorithms and complex systems. Complex systems generating the effect of "self-organized criticality" (self-organized criticality - SOC), their modelling (models such as sand piles, ...) and occurrence in real complex systems (evolution, earthquakes, avalanches).
12. Cellular automata (BA) and complex systems. BA formalism, dynamics and classification of cellular automata according to Wolfram, Conway's game of life, modelling using BA. Cellular automata and space-time chaos. BA and music generation. BA and solving complex problems. Complex algorithmic behaviour of BA based on simple rules.
13. Algorithms and complex networks. Introduction to complex networks, methods of visualization and algorithmization of their dynamics. Examples of the occurrence of complex networks (social networks, dynamics of evolutionary processes, ...). Visualization of complex network dynamics using models of chaotic systems. Visualization of the dynamics of evolutionary techniques using complex networks.
14. Course summary. Mutual connections between individual types of algorithms, their dynamics and behaviour of complex systems.
Laboratories (for PC classrooms):
The seminar will focus on the practical application of the discussed techniques and solutions of selected problem examples.
• Implementation of a perceptron and its application to a simple linearly separable problem.
• Implementation of a multilayer perceptron (including backpropagation of an error) and its implementation on a linearly inseparable problem.
• Implementation of Hopfield networks and their application to simple patterns
• Implementation of Q-learning (Reinforcement learning) within the creation of a simple game.
• Application of neural networks and Q-learning to the so-called pole-balancing problem
• Fractal geometry. Implementation of L-systems.
• Fractal geometry. IFS. Implementation of selected IFS.
• Fractal geometry. The use of fractal geometry to create a simple landscape, or. surface (2D or 3D)
• Chaos theory. Logistics function. Neural network applications for the prediction of numbers generated by a logistic function.
• Chaos theory. Chaotic movement. Visualization of double pendulum movement
• Cellular automata: Implementation (and visualization) of the fire algorithm (Forest-fire)

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
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Examination | Examination |

Show history

Academic year | Programme | Field of study | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
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2021/2022 | (P0613D140020) Computational Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2021/2022 | (P0613D140020) Computational Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2020/2021 | (P0613D140020) Computational Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2020/2021 | (P0613D140020) Computational Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2020/2021 | (P2658) Computational Sciences | (2612V078) Computational Sciences | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2020/2021 | (P2658) Computational Sciences | (2612V078) Computational Sciences | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2019/2020 | (P2658) Computational Sciences | (2612V078) Computational Sciences | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2019/2020 | (P2658) Computational Sciences | (2612V078) Computational Sciences | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2019/2020 | (P0613D140020) Computational Science | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2019/2020 | (P0613D140020) Computational Science | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2018/2019 | (P2658) Computational Sciences | (2612V078) Computational Sciences | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2018/2019 | (P2658) Computational Sciences | (2612V078) Computational Sciences | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2017/2018 | (P2658) Computational Sciences | (2612V078) Computational Sciences | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2017/2018 | (P2658) Computational Sciences | (2612V078) Computational Sciences | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2016/2017 | (P2658) Computational Sciences | (2612V078) Computational Sciences | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2016/2017 | (P2658) Computational Sciences | (2612V078) Computational Sciences | K | Czech | Ostrava | Choice-compulsory | study plan | |||||

2015/2016 | (P2658) Computational Sciences | (2612V078) Computational Sciences | P | Czech | Ostrava | Choice-compulsory | study plan | |||||

2015/2016 | (P2658) Computational Sciences | (2612V078) Computational Sciences | K | Czech | Ostrava | Choice-compulsory | study plan |

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