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Machine learning applied to simulations of material mechanical behavior
Raisinger, Jan ; Novák, Lukáš (referee) ; Eliáš, Jan (advisor)
The thesis explores the possibility of using machine learning models to predict effective macroscopic material parameters of multiphase materials. The asymptotic expansion homogenization method is used together with the finite element method to create software in Python, which is used to calculate effective macroscale mechanical parameters of sets of heterogeneous arrangements. These sets are generated using several methods, e.g. as a realization of a discretized random field. The sets are used to train neural networks built using the Keras library. The accuracy of the networks and the quality of training data are assessed. The advantages and disadvantages of the networks compared to the FEM solver are demonstrated on their application in an optimization problem.
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Statistical image analysis in quality control
Legát, David
Title: Statistical image analysis in quality control Author: David Legát Department: Department of probability and mathematical statistics Supervisor: Prof. RNDr. Jaromír Antoch, CSc. Abstract: Currently, necessity to handle unstructured data rises significantly. One important area of unstructured data manipulation is signal processing such as audio and video, for which there exist many procedures. This work deals with the statistical approach to image processing, in which the image is interpreted as a representative of a random field. It describes two problems: removing noise from an image which facilitates better interpretation of the image, and image classification, in which we try to identify and recognize objects displayed. Part of the work aimed at eliminating of noise deals primarily with the use of MCMC simulation methods. These procedures can be tested in software that is included. Part of the work dealing with the classification of the image describes various modifications of classification trees methods. An example of image processing, which is the identification of defects in woven fabrics, is presented at the end. 1
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Statistical image analysis in quality control
Legát, David
Title: Statistical image analysis in quality control Author: David Legát Department: Department of probability and mathematical statistics Supervisor: Prof. RNDr. Jaromír Antoch, CSc. Abstract: Currently, necessity to handle unstructured data rises significantly. One important area of unstructured data manipulation is signal processing such as audio and video, for which there exist many procedures. This work deals with the statistical approach to image processing, in which the image is interpreted as a representative of a random field. It describes two problems: removing noise from an image which facilitates better interpretation of the image, and image classification, in which we try to identify and recognize objects displayed. Part of the work aimed at eliminating of noise deals primarily with the use of MCMC simulation methods. These procedures can be tested in software that is included. Part of the work dealing with the classification of the image describes various modifications of classification trees methods. An example of image processing, which is the identification of defects in woven fabrics, is presented at the end. 1
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