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Unsupervised learning
Kantor, Jan ; Sáblík, Václav (referee) ; Honzík, Petr (advisor)
The purpose of this work has been to describe some techniques which are normally used for cluster data analysis process of unsupervised learning. The thesis consists of two parts. The first part of thesis has been focused on some algorithms theory describing advantages and disadvantages of each discussed method and validation of clusters quality. There are many ways how to estimate and compute clustering quality based on internal and external knowledge which is mentioned in this part. A good technique of clustering quality validation is one of the most important parts in cluster analysis. The second part of thesis deals with implementation of different clustering techniques and programs on real datasets and their comparison with true dataset partitioning and published related work.
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Quantification of Relaxation Time T1 in DCE-MRI
Vitouš, Jiří ; Mézl, Martin (referee) ; Jiřík, Radovan (advisor)
This bachelor thesis deals with methods of T1 relaxation time quantification and B1 magnetic field inhomogeneities corrections. For purposes of the required measurements, the phantom was created using a 3D printer. Firstly the thesis presents information about a given theme, then it hands out the results of measurements taken using standard quantification methods. These methods are consequently analyzed and compared. Next part of the bachelor thesis deals with the fast method based on a variable flip angle (VFA), which needs a magnetic field B1 correction maps to give reasonable T1 estimates. For this purpose, two methods of B1 correction are presented. The first method is a double angle method and second is based on mapping magnetic field B1 using a reference T1 map. To decide which T1 map of which method should be used as a reference, a simple simulation is proposed, which describes the impact of unfavorable effects, such as B1 itself, on the T1 estimate of standard methods. In the end, the conclusions are made and the results of VFA methods are compared with standard methods of quantification.
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Estimation of Respiration Activity from ECG Using Mechine Learning
Ondrejková, Eliška ; Vítek, Martin (referee) ; Plešinger, Filip (advisor)
This Bachelor thesis deals with methods to estimate respiration activity from ECG. For a better understanding of a subject, the anatomy and physiology of the respiratory and cardiovascular systems are described. Furthermore, several estimation methods are explained as well. A public dataset of ECG signals read from polysomnography was used in the practical part. An algorithm for estimation was implemented in the programming language Python using the PyTorch library. Finally, results are discussed and compared to other methods.
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Estimating the Extent of Inefficiencies in the Czech Health Care System
Pachovský, Tomáš ; Janský, Petr (advisor) ; Paulus, Michal (referee)
In this thesis, we tried to find possible methods of estimation the extent of inefficiencies in healthcare and apply them on Czech data. We reviewed recent literature on this subject and from the literature we selected 3 methods that were used in this thesis. We estimated that costs of error and fraud concerning payments and provision of care in 2010 is roughly between 9,5 to 25,8 billion CZK, extra treatment for people abusing prescription opioids cost approximately 247,8 million CZK in 2011 and that costs of unnecessary use of C-Section in 2011 amounted to 184,4 million CZK. We also broke down the 2010 Czech healthcare expenditures and compared indicators across countries to uncover other possible problems.
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Stochastic Models in Financial Mathematics
Waczulík, Oliver ; Hurt, Jan (advisor) ; Večeř, Jan (referee)
Title: Stochastic Models in Financial Mathematics Author: Bc. Oliver Waczulík Department: Department of Probability and Mathematical Statistics Supervisor: doc. RNDr. Jan Hurt, CSc., Department of Probability and Mathe- matical Statistics Abstract: This thesis looks into the problems of ordinary stochastic models used in financial mathematics, which are often influenced by unrealistic assumptions of Brownian motion. The thesis deals with and suggests more sophisticated alternatives to Brownian motion models. By applying the fractional Brownian motion we derive a modification of the Black-Scholes pricing formula for a mixed fractional Bro- wnian motion. We use Lévy processes to introduce subordinated stable process of Ornstein-Uhlenbeck type serving for modeling interest rates. We present the calibration procedures for these models along with a simulation study for estima- tion of Hurst parameter. To illustrate the practical use of the models introduced in the paper we have used real financial data and custom procedures program- med in the system Wolfram Mathematica. We have achieved almost 90% decline in the value of Kolmogorov-Smirnov statistics by the application of subordinated stable process of Ornstein-Uhlenbeck type for the historical values of the monthly PRIBOR (Prague Interbank Offered Rate) rates in...
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Perception of vehicle speed by driver
Formanová, Barbora ; Bradáč, Albert (referee) ; Bilík, Martin (advisor)
This diploma thesis deals with the issue of perception of vehicle speed by the driver, without the possibility of checking the vehicle's tachometer. The theoretical part defines the basic concepts of vehicles, including the design of passenger cars. Furthermore, the work is devoted to the field of human perception, which is also focused on perception from the perspective of the driver, gender, and driving experience. The practical part deals with the design, preparation and implementation of experimental measurements. Subsequently, the evaluation of the measured data is performed in terms of selected factors that could affect the subjective estimate of the driver's speed. The conclusion of this work is also devoted to proposals for possible modifications of the measurement methodology for further use.
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Estimation Of Electricity Consumption
Řehořek, Tomáš
The article deals with simple estimation of electricity consumption. There are three different methods of estimations mentioned in the article, they differ among each other by the amount of required inputs, availability of these inputs and accuracy of resultant estimations. The first two methods are based on the amount of consumption per capita. The third method is based on the parameters of components used to supply the investigated area. The article contains the comparison between the estimated consumption a real measured consumption.
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Term structure of interest rates
Boháčková, Jana ; Hurt, Jan (advisor) ; Rusý, Tomáš (referee)
Bachelor thesis deals with interest rates and yield curves. Terms spot interest rate, forward interest rate and discount factor are established. Three models for describing yield curves are used, two parametric models: Nelson-Siegel model and Svensson model and one nonparametric model: kernel estimator. Function of a yield curve is decribed for all models and for parametric models and the parameters in parametric models are also described. Eventually, all models are used on real data. 1
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Analysis of fluctuation of labourers
Zeman, Ondřej ; Maciak, Matúš (advisor) ; Komárek, Arnošt (referee)
The main goal of this thesis is to analyse the fluctuation of the employees in a well established Czech manufacturing company. Due to the GDPR regulations, the underlying company is kept anonymised in this thesis. The data were transformed into longitudinal data and the GEE methodology was used for the analysis of the fluctuation. In the first chapter, an introduction to the problem and a short description of the data is provided. The second chapter contains some theoretical description of the GEE methodology and the QIC information criterion. In the third chapter, multiple models for a binary and multinomial response are fitted to the data and their results are described in detail. This allows us to describe the influence of various factors to the fluctuation of the employees in the underlying company. 1
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Localization In Lorawan Technology
Pospíšil, Jan
The article deals with the topic of localization in LoRaWAN (tm) network with the selection of suitable position estimation method which is TDoA. There are also described the hardware requirements for applying that method. The second part focuses on how to implement the TDoA algorithm with subsequent simulation of position estimation error.
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