Mathematics for Knowledge Processing

Type of study	Follow-up Master
Language of instruction	Czech
Code	460-4066/01
Abbreviation	MPZZ
Course title	Mathematics for Knowledge Processing
Credits	6
Coordinating department	Department of Computer Science
Course coordinator	doc. Mgr. Pavla Dráždilová, Ph.D.

Osnova předmětu

1) Relations and their properties. Ordering, equivalence, tolerance
2) Algebra, operations, morphisms and congruences
3) Graphs and hypergraphs
4) Ordered sets
5) Lattices and other algebras with two operations
6) Conceptual lattices
7) Association rules
8) Rough sets and fuzzy sets
9) Metrics, ultrametrics and dissimilarities
10) Metric and topological spaces
11) Dimension and curse of dimensionality
12) Clustering I
13) Clustering II, quality of clustering

E-learning

Study supports are available in the LMS for course students.

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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