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Using machine learning for quality control in industrial applications
Gaško, Viktor ; Dobrovský, Ladislav (referee) ; Parák, Roman (advisor)
Goal of this bachelor´s thesis is to get acquainted with issue of quality control in industrial applications with focus on deep learning. For this and similar issues was created several libraries which have a purpose of simplifying these issues. Main task is to create program for quality control with help of programming language Python and framework Tensorflow. This program will be comprised of three neural network, from which one will identify the approximate position of the part, second its color, and third will check the correctness of its production.
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Tensors and their applications
Korbel, Filip ; Tomáš, Jiří (referee) ; Doupovec, Miroslav (advisor)
The goal of this thesis is to provide an overview of basic terms and results of tensor calculus. We introduce tensors as multilinear mappings and introduce basic tensor operations. In the next section, we give some examples of tensors, especially from the field of differential geometry.
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Tensor products of vector spaces
Řepík, Michal ; Jančařík, Antonín (advisor) ; Zhouf, Jaroslav (referee)
TENSOR PRODUCTS OF VECTOR SPACES Bachelor thesis Author: Michal Řepík Department: Department of Mathematics and Mathematical Edu- cation, Faculty of Education, Charles University in Pra- gue Supervisor: RNDr. Antonín Jančařík, Ph.D. Key words: Tensor product, tensor, bilinear map, free vector space, quotient space, change-to-base matrix. Abstract The submitted bachelor thesis called Tensor Products of Vector Spaces deals with general construction of tensor product of two vector spaces over the same field using the technique of linearisation of bilinear maps. This construction is supplemented by a discussion on its alternative ways, and a tensor product of a finite system of vector spaces over the same field is added. The paper also defines a (p, q) tensor in various interconnected ways. Basic operations with tensors are also introduced. The thesis offers a short historical review of tensor calculus as well.
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Using machine learning for quality control in industrial applications
Gaško, Viktor ; Dobrovský, Ladislav (referee) ; Parák, Roman (advisor)
Goal of this bachelor´s thesis is to get acquainted with issue of quality control in industrial applications with focus on deep learning. For this and similar issues was created several libraries which have a purpose of simplifying these issues. Main task is to create program for quality control with help of programming language Python and framework Tensorflow. This program will be comprised of three neural network, from which one will identify the approximate position of the part, second its color, and third will check the correctness of its production.
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|
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Tensor products of vector spaces
Řepík, Michal ; Jančařík, Antonín (advisor) ; Zhouf, Jaroslav (referee)
TENSOR PRODUCTS OF VECTOR SPACES Bachelor thesis Author: Michal Řepík Department: Department of Mathematics and Mathematical Edu- cation, Faculty of Education, Charles University in Pra- gue Supervisor: RNDr. Antonín Jančařík, Ph.D. Key words: Tensor product, tensor, bilinear map, free vector space, quotient space, change-to-base matrix. Abstract The submitted bachelor thesis called Tensor Products of Vector Spaces deals with general construction of tensor product of two vector spaces over the same field using the technique of linearisation of bilinear maps. This construction is supplemented by a discussion on its alternative ways, and a tensor product of a finite system of vector spaces over the same field is added. The paper also defines a (p, q) tensor in various interconnected ways. Basic operations with tensors are also introduced. The thesis offers a short historical review of tensor calculus as well.
|
|
|
Tensors and their applications
Korbel, Filip ; Tomáš, Jiří (referee) ; Doupovec, Miroslav (advisor)
The goal of this thesis is to provide an overview of basic terms and results of tensor calculus. We introduce tensors as multilinear mappings and introduce basic tensor operations. In the next section, we give some examples of tensors, especially from the field of differential geometry.
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