First, the distribution-free chain-ladder is introduced. Then, the Poisson model is in- troduced. It is proven that the total reserves for one accident year given by the maximum likelihood estimation applied to the Poisson ...

In the first part of this thesis, we will try to get familiar with some of the concepts of supersymmetry (SUSY), starting from the zero-dimensional Quantum Field Theory and apply these concepts to a toy model of (0+1) ...

This thesis deals with random walks on a symmetric group, namely the models that are used to describe the shuffling of a deck of cards. In this work we focus on the question of mixing speed (the speed of convergence of the ...

This thesis addresses the problem of stitching photos into a panorama in two ways - using features and uniformly distributed photos. The mathematical basis is introduced in the form of transformations used in both approaches, ...

This thesis focuses on a problem which decision vector has limited number of non- zero elements. This limitation is ensured by adding cardinality constraint, but solving the mixed-integer reformulation of the problem is ...

This bachelor thesis describes a method of estimating parameters for discrete dis- tributions via the empirical distribution function. In the first part, we derive general asymptotic distributions for such estimates. These ...

Recommender systems are software tools and techniques providing recommendations to users based on their needs. Today, popular e-commerce sites widely use recommender systems to recommend product items, articles, books, ...

Using the ADAM software package, the shape model of the asteroid (130) Elektra was reconstructed. The model is based on 60 lightcurves from the DAMIT database, 46 AO images obtained by the NIRC2 and SPHERE in- struments ...

Bank transactions are one of the data sources that banks can use for their marketing decisions and campaigns. In this thesis, we are concerned with the use of bank transac- tions for the prediction of clients who will take ...

Optical Character Recognition (OCR) is a process of converting text from images to a machine-readable text. We run three OCR systems (Tesseract, Ocrad and GOCR) on an original multilingual OCR dataset and perform statistical ...

Tessellation of trimmed NURBS surfaces is classical problem in CAD/CAM, with long history and huge amount of research developed so far. We present and describe a tessellation algorithm suitable for visualization purposes ...

We present theoretical methods for studying quantum mechanical systems subjected to fast periodic driving and apply them to model systems with long-range interaction. We provide a comparison between the methods and insight ...

This thesis deals with virtual memory management in the Linux kernel. Files or devices can be mapped into virtual memory using the mmap() sys- tem call, which is also capable of creating so-called anonymous mappings. Those ...

Title: Simulations of dynamics of ultra-cold quantum plasma Author: Andrej Rendek Department: Department of Surface and Plasma Science Supervisor: Mgr. Michal Hejduk, Ph.D., Department of Surface and Plasma Science Abstract: ...

Systems programming languages facilitate the implementation of software that runs in restricted environments close to the hardware, such as operating systems, drivers, and real-time and embedded systems. Implementation of ...

In a number of fields, neural networks can achieve state-of-the-art performance, but understanding how and why they arrive with a solution is still unclear. Particularly for processing visual data, Convolutional Neural ...

This thesis deals with classification based on mixture models, mainly on models finite normal. At first, there are introduced basic definitions and characteristics of finite mix- tures. Afterwards there is described the ...

In this thesis, we describe a construction of orthogonal basis of polynomial solutions to the Laplace and Dirac operators over the Euclidian space Rm . A necessary property is rotational invariance of these operators. ...

Evaluating the success of the weather forecast is a fundamental factor in improving their quality. It is necessary to use statistical methods for this evaluation. However, the existence of a large number of statistical ...

In this bachelor's thesis we define the notion of Hausdorff metric and Gromov-Hausdorff metric. We will define both metrics in several different ways and then we will show that these definitions are equivalent. We will ...

In this work, we explored the potential of bacteriochlorophyll a for its use in dye-sensitized solar cells. Bacteriochlorophyll a absorbs in the near-infrared spectral region where most of the pigments tested in dye-sensitized ...

This thesis introduces module properties of projectivity and flatness relative to classes of finitely presented modules, these being generalization of projectivity and pure pro- jectivity. Then it gives proof of ascent and ...

This bachelor's thesis aims to analyse random walks, emphasizing symmetric random walks. We focus mainly on the occupation of a set times. In this thesis, we find the distribution of maxima and minima, the probability of ...

This thesis explores different ways of improving theatre play script gen- eration. To generate a theatre play script, we fine-tune the GPT-2 medium language model on a mixture of theatre plays, movies, and TV show scripts, ...

The goal of this thesis is to collect various properties of sets with positive reach and to describe generalization of the directional curvatures in R3 as the intersection of a plane and a set with positive reach. Firstly, ...

The goal of this thesis is to characterize payoffs that maximize expected utility function in different market setups. One can solve this problem in its generality in terms of a function of a likelihood ratio between the ...

The thesis describes the implementation of a numerical model that simulates the interaction between rigid particles and a fluid. The numerical model is based on the arbitrary Lagrangian-Eulerian (ALE) method, which uses ...

This work contains a collection of strange functions that, with their properties, break the school intuition of students in some way. In the first part of this work, an analysis of the available teaching materials (textbooks, ...

In this bachelor's thesis we deal with Ulam's problem. In the first chapter, we introduce the basic definitions and the axiomatic theory of ZF extended by the Axiom of Choice; we also formulate and prove the Lemma that ...