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Theory and Applications of Monte Carlo Methods
Hruda, Petr ; Šimek, Václav (referee) ; Bidlo, Michal (advisor)
This bachelor thesis deals with applications of Monte Carlo methods on various problems. In particular, Metropolis algorithm and Simulated Annealing were applied on optimization of Traveling Salesman Problem and the problem of graph coloring. Moreover, "traditional" Monte Carlo approach was utilized for statistical analysis of electronic circuits in which the values of components exhibit random variations with a given tolerance. The results are evaluated for different setups of Monte Carlo methods.
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Application of Approximate Computing in Image Processing
Hruda, Petr ; Vašíček, Zdeněk (referee) ; Bidlo, Michal (advisor)
This master thesis focuses on approximate computing applied to image processing. Specifically, the approximation is applied to adaptive thresholding. Two approaches were used, the design of a new system using approximated components and the approximation of an existing algorithm. The resulting effect on thresholding quality was investigated. Experimental evaluation of the first approach shows quality improvements of thresholding with usage of aproximated components. Also, area of found aproximated solutions is smaller. Evaluation of the second approach shows worse quality of thresholding with usage of aproximated components. The second approach is then declared inappropriate.
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Application of Approximate Computing in Image Processing
Hruda, Petr ; Vašíček, Zdeněk (referee) ; Bidlo, Michal (advisor)
This master thesis focuses on approximate computing applied to image processing. Specifically, the approximation is applied to adaptive thresholding. Two approaches were used, the design of a new system using approximated components and the approximation of an existing algorithm. The resulting effect on thresholding quality was investigated. Experimental evaluation of the first approach shows quality improvements of thresholding with usage of aproximated components. Also, area of found aproximated solutions is smaller. Evaluation of the second approach shows worse quality of thresholding with usage of aproximated components. The second approach is then declared inappropriate.
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Theory and Applications of Monte Carlo Methods
Hruda, Petr ; Šimek, Václav (referee) ; Bidlo, Michal (advisor)
This bachelor thesis deals with applications of Monte Carlo methods on various problems. In particular, Metropolis algorithm and Simulated Annealing were applied on optimization of Traveling Salesman Problem and the problem of graph coloring. Moreover, "traditional" Monte Carlo approach was utilized for statistical analysis of electronic circuits in which the values of components exhibit random variations with a given tolerance. The results are evaluated for different setups of Monte Carlo methods.
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