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The subject presents mathematical models of physiological neural networks and their optimization using evaluated and target values. Problems of global and local optima are presented on the error surface together with the least square method and gradient method for evaluation of optimal structure and network coefficients. Application include signal denoising, prediction and classification with the use in engineering and biomedicine. Poslední úprava: Procházka Aleš (04.07.2012)
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[1] S. Haykin: Neural Networks, IEEE Press, 1994 Poslední úprava: Procházka Aleš (04.07.2012)
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During the term three projects are solved and they include application of artificial neural networks for biomedical signal denoising, prediction of environmental data and classification of biomedical data segments. Oral exam includes detail discussion of selected problems and their solution in the MATLAB environment. Poslední úprava: Procházka Aleš (04.07.2012)
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1. Fundamentals of MATLAB environment, basic operations, data files processing
2. Visualization tools in MATLAB, symbolic mathematics, principles of SIMULINK
3. Basic mathematical models of neurons, transfer functions, threshold, error surface evaluation
4. Single-layer networks, perceptron learning rule, application to classification problems
5. Adaptive linear networks, Widrow-Hoff learning rule, training and coefficients optimization
6. Neural networks in adaptive noise cancellation
7. Multi-layer networks, error function, optimization of parameters, gradient descent method
8. Basic optimization methods (backpropagation, Levenberg-Marquardt algorithm)
9. Neural networks in signal prediction and system modeling, learning and generalization
10. Radial basis networks, transfer functions definition, network structure optimization
11. Associative learning rules, self-organizing networks and maps, Hebian learning, Kohonen rule
12. Neural networks in segmentation, feature extraction and classification, competitive learning
13. Simulation of artificial neural networks in the SIMULINK environment
14. Neural networks in system identification and control, supervised and unsupervised learning Poslední úprava: Procházka Aleš (04.07.2012)
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