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Computer Science

Topics valid for the SFE held from summer semester of the academic year 2017/2018 in the study branch TI

# Label Topic Subject
1.BIE-TI-1 Transformations of context free grammars and their normal forms. The CYK algorithm. BIE-AAG
2.BIE-TI-2 Implementation of finite automata, lexical analyzer. BIE-AAG
3.BIE-TI-3 Higher connectivity of graphs: Vertex and edge k-connectivity, their determination and relations, Menger and Ford-Fulkerson theorem. Bridges, cut vertices and searching for them. Strongly connected components of an oriented graph and searching for them. BIE-AG2
4.BIE-TI-4 Network flows: Network, flow, cut, relationship between flow size and cut capacity, Ford-Fulkerson algorithm. Matching, searching for a maximum matching in a bipartite graph, Hall's theorem and its consequences. BIE-AG2
5.BIE-TI-5 Planar graphs and graphs coloring: Euler formula. Kuratowski theorem. Chromatic number of a graph, chromatic number of planar graphs. BIE-AG2
6.BIE-TI-6 Advanced data structures: The Fibonacci heaps and complexity of their operations in the worst case. (a, b)-trees. BIE-AG2
7.BIE-TI-7 Eulerian and Hamiltonian graphs: Eulerian trail, Eulerian graphs, minimum coverage by trails. Hamiltonian circle, Chvátal closure, Chvátal's theorem. BIE-AG2
8.BIE-TI-8 Distances in graphs: Floyd-Warshall algorithm. Traveling Salesperson Problem, definition and an approximation algorithm. BIE-AG2
9.BIE-TI-9 Geometric algorithms: Convex hull of points in plane, determination of angle orientation. The sweep-line technique and fast calculation of intersections of line segments in plane. BIE-AG2
10.BIE-TI-10 Quantitative principles of computer architectures (the Amdahl's law, CPU performance equation), computer performance evaluation. BIE-APS.1
11.BIE-TI-11 Pipelined instruction processing. Pipeline stages, controlling the flow of instructions between stages, hazards, their classification and handling. BIE-APS.1
12.BIE-TI-12 Performance parameters of a memory system with caches. Multi-level caches. HW support for virtual memory. BIE-APS.1
13.BIE-TI-13 Parallel architectures with shared memory, memory coherence and consistency. Instruction set primitives for process synchronization. BIE-APS.1
14.BIE-TI-14 Instruction-level parallelism. Superscalar, superpipeline, and VLIW processors. Vector computers. BIE-APS.1
15.BIE-TI-15 Linear mapping and matrix of linear mapping: definition and fundamental properties (matrix of composed/inverse mapping, relation between rank of the mapping and rank of its matrix), transition matrix (change of basis). BIE-LIN
16.BIE-TI-16 Linear codes: basics of coding theory, generator and check matrices, coding and decoding. BIE-LIN
17.BIE-TI-17 Pure object-oriented programming paradigm: basic notions, abstraction, behaviour. BIE-OOP
18.BIE-TI-18 Pure object-oriented programming paradigm: principles of OO systems. BIE-OOP
19.BIE-TI-19 Pure object-oriented programming paradigm: quality of proposals of OO design. BIE-OOP
20.BIE-TI-20 Top-down parser, formalisms for its specification - context free grammars, pushdown automata, relationships between them. LL(1) grammars, transformations of grammars. Implementation of LL(1) parser. BIE-PJP
21.BIE-TI-21 Formalisms for syntax-directed translation - translation grammars, attribute grammars, attribute translation grammars. LL-attributed translation grammars, implementation by recursive-decent functions with parameters. BIE-PJP
22.BIE-TI-22 Intermediate representation of programs, abstract syntax tree, translation of basic constructs of programming languages. BIE-PJP
23.BIE-TI-23 Structure of memory in implementations of programming languages: static part, stack, heap. Activation records, mechanism of function calls. BIE-PPA
24.BIE-TI-24 Lambda calculus: definition of basic notions, operations, representation of numbers. BIE-PPA
25.BIE-TI-25 Functional programming, high-order functions, Lisp: S-expressions, cons cells, functions, recursion, mapping functionals. BIE-PPA
26.BIE-TI-26 Logic programming, Prolog: facts, rules, queries, evaluation of queries, unification of queries, unification, cut operator. BIE-PPA
27.BIE-TI-27 Data, information, and knowledge. Data sources and formats, data matrix. Nominal and numeric variables. Visualization and data exploration. BIE-VZD
28.BIE-TI-28 The nearest neighbour method, distance measures. Clustering methods (k-means, agglomerative clustering). BIE-VZD
29.BIE-TI-29 Neural networks, multilayered perceptrons and training principles. Self organizing maps. BIE-VZD
30.BIE-TI-30 Decision trees and their applications. Random forest classifiers and boosted trees. BIE-VZD
 
/mnt/www/edux/data/pages/en/szz/bi/2017-18/ti.txt · Last modified: 2018/05/04 08:52 by balikm
 
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