Course: Statistical learning: multivariate and functional topics

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Course title Statistical learning: multivariate and functional topics
Course code KMA/STU
Organizational form of instruction Lecture + Exercise
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Hron Karel, prof. RNDr. Ph.D.
  • Fačevicová Kamila, Mgr. Ph.D.
Course content
1. Basics of statistical learning 2. Linear regression and classification 3. Resampling methods - cross validation and bootstrap 4. Linear model selection and regularization 5. Beyond linearity - splines, generalized additive models 6. Functional data analysis - goals and methods 7. Functional principal component analysis 8. Functional regression

Learning activities and teaching methods
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming), Demonstration
  • Attendace - 52 hours per semester
  • Preparation for the Exam - 40 hours per semester
  • Preparation for the Course Credit - 20 hours per semester
Learning outcomes
Understand popular advanced methods of statistical learning including their implementation in statistical software R.
Application Apply probability theory and multivariate statistics to methods of statistical learning.
Prerequisites
Basic knowledge of probability theory and multivariate statistics.

Assessment methods and criteria
Oral exam, Seminar Work

Credit: Presetation of a project covering topics of statistical learning. Exam: oral.
Recommended literature
  • B. Efron, R. Hastie. (2017). Computer age statistical inference. Cambridge University Press, Cambridge.
  • B. Everitt, T. Hothorn. (2011). An introduction to applied multivariate analysis with R. Springer, Heidelberg.
  • G. James, D. Witten, T. Hastie, R. Tibshirani. (2014). An introduction to statistical learning. Springer, New York.
  • J.O Ramsay, B.W. Silverman. (2005). Functional data analysis. Springer, New York.
  • T. Hastie, R. Tibshirani, J. Friedman. (2016). The elements of statistical learning. Springer, New York.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester