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Interconnection of Restricted Boltzmann machine method with statistical physics and its implementation in the processing of spectroscopic data
 Vrábel, Jakub ; Hrdlička, Aleš (oponent) ; Pořízka, Pavel (vedoucí práce)
In this work, connections between statistical physics and machine learning are studied with emphasis on the most basic principles and their implications. Also, the general properties of spectroscopic data are revealed and used beneficially for improving automatized processing of the data. In the beginning, the partition function of a Boltzmann distribution is derived and used to study the Ising model utilizing the mean field theory approach. Later, the equivalence between the Ising model and the Hopfield network (machine learning model) is shown, along with an introduction for machine learning in general. At the end of a theoretical part, Restricted Boltzmann Machine (RBM) is obtained from the Hopfield network. Suitability of applying RBM to the processing of spectroscopic data is discussed and revealed by utilization of RBM to dimension reduction of the data. Results are compared to the standard tool (Principal Component Analysis), with discussing possible further improvements.
Úplný záznam
Interconnection of Restricted Boltzmann machine method with statistical physics and its implementation in the processing of spectroscopic data
 Vrábel, Jakub ; Hrdlička, Aleš (oponent) ; Pořízka, Pavel (vedoucí práce)
In this work, connections between statistical physics and machine learning are studied with emphasis on the most basic principles and their implications. Also, the general properties of spectroscopic data are revealed and used beneficially for improving automatized processing of the data. In the beginning, the partition function of a Boltzmann distribution is derived and used to study the Ising model utilizing the mean field theory approach. Later, the equivalence between the Ising model and the Hopfield network (machine learning model) is shown, along with an introduction for machine learning in general. At the end of a theoretical part, Restricted Boltzmann Machine (RBM) is obtained from the Hopfield network. Suitability of applying RBM to the processing of spectroscopic data is discussed and revealed by utilization of RBM to dimension reduction of the data. Results are compared to the standard tool (Principal Component Analysis), with discussing possible further improvements.
Úplný záznam

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