Ukončeno v akademickém roce 2019/2020

Mathematics for Knowledge Processing

Type of study	Follow-up Master
Language of instruction	Czech
Code	460-4066/03
Abbreviation	MPZZ
Course title	Mathematics for Knowledge Processing
Credits	4
Coordinating department	Department of Computer Science
Course coordinator	doc. Mgr. Pavla Dráždilová, Ph.D.

Osnova předmětu

1) Algebras
2) Graphs and Hypergraphs
3) Partial Ordered sets
4) Lattices and Boolean Algebras
5) Conceptual lattice
6) Topology
7) Frequent Item Sets and Association Rules
8) Rough Sets
9) Approximation Spaces,
10) Dissimilarities, Metrics, and Ultrametrics
11) Dimensions and The Dimensionality Curse
12) Clustering
13) Combinatorics, Vapnik-Chervonenkis Dimension

Povinná literatura

1. Dan A Simovici; Chabane Djeraba. Mathematical tools for data mining : set theory, partial orders, combinatorics. Springer, 2008.
2. David Skillicorn. Understanding Complex Datasets: Data Mining with Matrix Decompositions, Chapman & Hall, 2007.
2. T. Hastie, R. Tibshirani and J. Friedman, The Elements of Statistical Learning: Data Mining, Inference, and Prediction, Springer; Corr. 3rd edition, 2009.

Doporučená literatura

1. Eldén, L., Matrix Methods in Data Mining and Pattern Recognition, SIAM 2007.

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