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Applications of least squares
Tichá, Martina ; Tůma, Jiří (advisor) ; Šaroch, Jan (referee)
In this work we analyze the method of least squares. We explain the basic mathematical theory that is crucial for understanding the method of least squares and show how the least squares problem can be solved via the system of normal equations using the QR-decomposition, Cholesky- decomposition or SVD of some matrix. We also show how the method of least squares can be used to solve the problem of data fitting and data classification. We have experimentally verified the theory covered in this thesis by implementing algorithm for recognizing handwritten digits. Apart from the handwritten digits recognition problem we show two more practical examples of the application of least squares. The first one relates to finding a solution to the least norm problem. In the second example we use the method of least squares to estimate the parameters of a linear measurement model.
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Visual odometry for robotic vehicle Car4
Szente, Michal ; Krejsa, Jiří (referee) ; Najman, Jan (advisor)
This thesis deals with algorithms of visual odometry and its application on the experimental vehicle Car4. The first part contains different researches in this area on which the solution process is based. Next chapters introduce theoretical design and ideas of monocular and stereo visual odometry algorithms. The third part deals with the implementation in the software MATLAB with the use of Image processing toolbox. After tests done and based on real data, the chosen algorithm is applied to the vehicle Car4 used in practical conditions of interior and exterior. The last part summarizes the results of the work and address the problems which are asociated with the application of visual obmetry algorithms.
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Toolbox for neuronal datasets
Malý, Lukáš ; Harabiš, Vratislav (referee) ; Lamoš, Martin (advisor)
The aim of this bachelor's thesis was to create toolbox for functional magnetic resonance (fMRI) and electroencefalography (EEG) data processing in MATLAB enviroment using SPM software package. The first part describes the physiological origin of these data at neuronal level, basics of magnetic resonance imaging, principles of fMRI experiment, preprocessing and processing of fMRI data, their interpretation, then function and principles of EEG are described and at the end is simultaneous EEG-fMRI described. In the second part of the thesis features of each tool from Neural Data Toolbox (NDTb) are described.
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Semantic Similarity of Terms
Novák, Ján ; Šilhavá, Jana (referee) ; Schmidt, Marek (advisor)
The goal of this thesis is processing knowledge about Automatic Term Recognition and methods of computing term similarity according to co-occurence and on ground of this knowledge suggest and implement system for computing semantic similarity of terms from large collection of documents.
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Multimedia Diff - Audio Documents
Komadel, Michal ; Dittrich, Petr (referee) ; Chmelař, Petr (advisor)
This work describes development of a diff tool working with audio files containing general sound such as music, speech and other sounds. There are presented facts from different domains of science related to sound, such as psychoacoustics, speech recognition and automatic music genre categorisation. This paper also contains description of some diff algorithms and external tools needed for development of the goal application. Moreover, there is introduced design and implementation of the application, settings used for sound features extraction and evaluation of attained results.
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Methods of Document Summarization on the Web
Belica, Michal ; Očenášek, Pavel (referee) ; Bartík, Vladimír (advisor)
The work deals with automatic summarization of documents in HTML format. As a language of web documents, Czech language has been chosen. The project is focused on algorithms of text summarization. The work also includes document preprocessing for summarization and conversion of text into representation suitable for summarization algorithms. General text mining is also briefly discussed but the project is mainly focused on the automatic document summarization. Two simple summarization algorithms are introduced. Then, the main attention is paid to an advanced algorithm that uses latent semantic analysis. Result of the work is a design and implementation of summarization module for Python language. Final part of the work contains evaluation of summaries generated by implemented summarization methods and their subjective comparison of the author.
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Digital Image Watermarking
Šujan, Miroslav ; Říha, Kamil (referee) ; Číka, Petr (advisor)
The bachelor´s thesis deals with the problem of static digital watermarking in frequency domain. It is a process of adding secret information to the original data without any negative influence to them, while in the same time making sure that the identification and hidden watermark cannot be removed easily. The main aim of this thesis is to sum up the current techniques of watermarking, to carry out of two watermarking techniques and a test of resistance to attacks against them.
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Advanced Methods to Multimedia Data Protection
Mikulčík, Ondřej ; Zukal, Martin (referee) ; Číka, Petr (advisor)
To protect the the copyright of multimedia works have been developed watermarking techniques, that insert an invisible watermark to the original data. The aim of this thesis was to explore modern watermarking techniques, choose three of them and realize them. Also test them, evaluate their properties and possibly improve them. All methods insert a watermark into luminance component of the original image, and work with binary or black and white watermark. All techniques work in the frequency domain using discrete wavelet transform. For the implementation of methods, have been developed software named "Watermarking" that has been programmed in JAVA Version 7. The first chapter describes the types of watermarks, the general process of insertion and extraction, watermarking systems and important feature requests of embedded water- marks. In addition, qualitative methods are mentioned for their comparisons and testing. The chapter also contains a theoretical description of the used transformations and functions. In the second chapter is described the user interface of the software "Water- marking". Chapters three and four contain a theoretical description of the implemented methods and description of implementation of insertion and extraction processes of the watermark. Also there are discussed the exact procedures for testing, the sample data, and the results which are clearly displayed in the tables. The fifth chapter discusses in detail the results obtained in testing the robustness of the watermark, using the software StirMark. In the conclusion are evaluated the advantages and disadvantages of methods and quality parameters.
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Hledání sémantické informace v textových datech s využitím latentní analýzy
Řezníček, Pavel
The first part of thesis focuses on theoretical introduction to the methods of text mining -- Information retrieval, classification and clustering. LSA method is presented as an advanced model for representing textual data. Furthermore, the work describes source data and methods for their preprocessing and preparation used to enhance the effectiveness of text mining methods. For each chosen text mining method there are defined evaluation metrics and used already existing, or newly implemented, programs are presented. The results of experiments comparing the effects of different preprocessing type and use of different models of the source data are then demonstrated and discussed in the conclusion.
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