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.

Subject syllabus

Relations and their properties. Ordering, equivalence, tolerance
Algebra, operations, morphisms and congruences
Graphs and hypergraphs
Ordered sets
Lattices and other algebras with two operations
Conceptual lattices
Association rules
Rough sets and fuzzy sets
Metrics, ultrametrics and dissimilarities
Metric and topological spaces
Dimension and curse of dimensionality
Clustering I
Clustering II, quality of clustering

E-learning

Study supports are available in the LMS for course students.

Literature

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.

Advised literature

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

back to search page