460-4066/02 – Mathematics for Knowledge Processing (MPZZ)

Gurantor departmentDepartment of Computer ScienceCredits6
Subject guarantorprof. RNDr. Václav Snášel, CSc.Subject version guarantorMgr. Pavla Dráždilová, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semesterwinter
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFEIIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
SNE10 Mgr. Pavla Dráždilová, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+3
Combined Credit and Examination 15+0

Subject aims expressed by acquired skills and competences

Graduate Course gives the following knowledge and skills: basic theoretical background for data analysis, implementation and application of selected methods.

Teaching methods

Lectures
Tutorials

Summary

The course provides the students with basic mathematical methods for data analysis. Lectures provide the students the teoretical backgroud for independent work. Tutorials offer space for discussing the issues, problem solution demonstration and illustrative examples exercising.

Compulsory literature:

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

Recommended literature:

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

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Additional requirements are not placed on the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

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

Conditions for subject completion

Full-time form (validity from: 2015/2016 Winter semester, validity until: 2015/2016 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 40 (40) 20
                Credit test Written test 19  10
                Online tests Written test 21  0
        Examination Examination 60 (60) 30
                Project Semestral project 40  20
                Oral examination and defense project Oral examination 20  10
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P English Ostrava 1 Compulsory study plan
2019/2020 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K English Ostrava 1 Compulsory study plan
2018/2019 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P English Ostrava 1 Compulsory study plan
2018/2019 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K English Ostrava 1 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P English Ostrava 1 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K English Ostrava 1 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (2612T059) Mobile Technology K English Ostrava 1 Compulsory study plan
2016/2017 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P English Ostrava 1 Compulsory study plan
2016/2017 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K English Ostrava 1 Compulsory study plan
2016/2017 (N2647) Information and Communication Technology (2612T059) Mobile Technology K English Ostrava 1 Compulsory study plan
2015/2016 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P English Ostrava 1 Compulsory study plan
2015/2016 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K English Ostrava 1 Compulsory study plan
2015/2016 (N2647) Information and Communication Technology (2612T059) Mobile Technology K English Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner