460-4066/01 – Mathematics for Knowledge Processing (MPZZ)

Gurantor departmentDepartment of Computer ScienceCredits6
Subject guarantorMgr. Pavla Dráždilová, Ph.D.Subject version guarantorMgr. Pavla Dráždilová, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semesterwinter
Study languageCzech
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.
MEN059 Mgr. Marek Menšík, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+3
Part-time Credit and Examination 25+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:

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.

Recommended literature:

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

Way of continuous check of knowledge in the course of semester

3 on-line tests during semester and a written test on the end of semester. The course is completed by an examination consisting of a written and oral part. The written part is compulsory and the oral part is optional.

E-learning

Other requirements

Additional requirements are not placed on the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

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

Conditions for subject completion

Full-time form (validity from: 2016/2017 Winter semester, validity until: 2022/2023 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
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) 20 3
                Test Written examination 40  20
                Oral examination Oral examination 20  0
Mandatory attendence participation: Participation in exercises is mandatory and is controlled. Students will be informed of the scope of compulsory participation by the course guarantor at the beginning of the semester.

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Conditions for subject completion and attendance at the exercises within ISP: Completion of all mandatory tasks within individually agreed deadlines.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (N0613A140034) Computer Science INF P Czech Ostrava 1 Compulsory study plan
2024/2025 (N0613A140034) Computer Science INF K Czech Ostrava 1 Compulsory study plan
2024/2025 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2024/2025 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (N0613A140034) Computer Science INF K Czech Ostrava 1 Compulsory study plan
2023/2024 (N0613A140034) Computer Science INF P Czech Ostrava 1 Compulsory study plan
2023/2024 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2023/2024 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2022/2023 (N0613A140034) Computer Science INF K Czech Ostrava 1 Compulsory study plan
2022/2023 (N0613A140034) Computer Science INF P Czech Ostrava 1 Compulsory study plan
2022/2023 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2022/2023 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2021/2022 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2021/2022 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2020/2021 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2020/2021 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2019/2020 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2019/2020 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2018/2019 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2018/2019 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2016/2017 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2016/2017 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2015/2016 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2015/2016 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2023/2024 Winter
2022/2023 Winter
2021/2022 Winter
2020/2021 Winter
2019/2020 Winter
2018/2019 Winter
2017/2018 Winter
2016/2017 Winter
2015/2016 Winter