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Analysis of retinal nerve fiber layer for diagnosis of glaucoma
Vodáková, Martina ; Malínský, Miloš (referee) ; Odstrčilík, Jan (advisor)
The master thesis is focused on creating a methodology for quantification of the nerve fiber layer on photographs of the retina. The introductory part of the text presents a medical motivation of the thesis and mentions several studies dealing with this issue. Furthermore, the work describes available textural features and compares their ability to quantify the thickness of the nerve fiber layer. Based on the described knowledge, the methodology to make different regression models enabling prediction of the retinal nerve fiber layer thickness was developed. Then, the methodology was tested on the available image dataset. The results showed, that the outputs of regression models achieve a high correlation between the predicted output and the retinal nerve fiber layer thickness measured by optical coherence tomography. The conclusion discusses an usability of the applied solution.
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Web Simulator of Football Leagues and Championships
Urbanczyk, Martin ; Holkovič, Martin (referee) ; Hynek, Jiří (advisor)
This thesis is about the creation of a simulator of football leagues and championships. I studied the problematics of football competitions and their systems and also about the base of machine learning. There was also an analysis of similar and existing solutions and I took inspiration for my proposal from them. After that, I made the design of the whole simulator structure and of all of its key parts. Then the simulator was implemented and tested. The application allows simulating top five competitions in UEFA club coefficients rating.
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Regression analysis in estimation of heart position in recording system of electrodes
Mackových, Marek ; Kolářová, Jana (referee) ; Ronzhina, Marina (advisor)
This work focuses on the regression analysis of morphological parameters calculated from the ECG for estimating the position of the heart to the measuring electrodes. It consists of a theoretical analysis of the problems of ECG recording and description of the data obtained from experiments on isolated animal hearts. On the theoretical part is followed by a description of the calculation parameters suitable for regression analysis and their application in the training and testing of the following regression models to estimate the position of the heart to the measuring electrode.
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Testing possibilities to extract selected landscape characteristics for description of indication-relevant bird species habitats in the Krkonoše Mts. from remote sensing data
Polák, Mojmír ; Kupková, Lucie (advisor) ; Janík, Tomáš (referee)
The thesis uses remote sensing data from two spatial scales (Sentinel-2 with a 10 x 10 m pixel and PlanetScope 3 x 3 m. It explores the possibilities of extracting selected landscape characteristics (spectral indices, land cover type, landscape metrics). In order to evaluate which characteristics and at what scale are statistically significant for the occurrence of 23 selected bird species, species richness in quadrats and the number of species of the order Passeriformes in the Krkonoše Mountains. Data on species occurrence were mapped in the year 2012-2014 The strength of the relationship between characteristics and abundance was determined by Pearson's correlation coefficient. It could not be confirmed that data with higher spatial resolution would be more beneficial for extracting landscape characteristics. Overall, the landscape characteristics did not prove functional relationships for all selected species, but for some species, species richness, and order of Passeriformes, the assumption of elevation and land cover as important factors was confirmed. Land cover was analysed using the Random Forest supervised classification method in Google Earth Engine with an overall accuracy of 78 % for Sentinel-2 data, both in tundra and in the rest of the area, and 77 % for PlanetScoce data in tundra, 66...
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Regression models in survival analysis and reliability
Novák, Petr ; Volf, Petr (advisor) ; Antoch, Jaromír (referee) ; Dohnal, Gejza (referee)
Regression models in survival analysis and reliability Doctoral thesis Petr Novák Charles University in Prague, Faculty of Mathematics and Physics Abstract: In present work we study methods for modeling the dependence of data from sur- vival and reliability setting on available explanatory variables. The first part of the work compares the properties of the Cox proportional hazards model, Aalen additive model and the Accelerated failure model for survival data. We present methods for testing goodness-of-fit based on counting processes and martingale theory, allowing to identify which model fits the data best. The second part focuses on modeling the lifetime of repairable systems. We study the means of incorporating the history of studied devices into the models, including the influence of corrective repairs and preventive maintenance actions. We demonstrate the introduced methods on real applications and study their properties in various situations on simulated data. 1
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Regression models and their teaching
Rybář, Marian ; Staněk, Jakub (referee) ; Kopa, Miloš (referee)
Title: "Regression models and their teaching" Author: Mgr. Marian Rybář Department: Department of Mathematics Education Abstract: Regression models and their outputs have a huge utilization not only in the field of medicine, science and managerial decision-making but also in many other fields. From the math didactics point of view is a question of intelligible explanation of regression models to non- math students very topical and exploitable theme. The main problem is an understandable explanation of this topic to statistics schooling members with minimal math application. These people aren't usually math or technical branch alumni, but they use regression models in their work. This work tries to suggest simply and clearly explanation of regression models on particular examples. Practical examples show the effects of the most common mistakes that are made by laymen in application of regression models. The main output of this work is a set of examples that could be used in regression models schooling. Keywords: regression models, regression analysis, didactics, teaching
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