Bayesian data analysis

Bayesian data analysis

1.

Subject title

Bayesian data analysis

Бајесова анализа на податоци

2.

Code

m23_w_009

3.

Study program

Statistics and Data Analytics, Cloud Computing, Statistics and Data Analytics, IT management, Bioinformatics, Security, Cryptography and Coding, Еducation with ICT, Software Engineering, Eco-informatics, Inteligent Systems, Internet Technologies and cyber security, Computer Science, Software for embedded systems, Cloud Computing, IT management, Bioinformatics, Security, Cryptography and Coding, Software Engineering, Data science in computer science and engineering,

4.

Organizer of the study program (unit, institute, department, division)

Faculty of Information Sciences and Computer Engineering

5.

Study cycle (first, second, third)

Втор циклус

6.

Academic year / semester

5 / Зимски

7. Number of ECTS credits

6.0

8.

Instructor

проф. д-р Билјана Тојтовска Рибарски доц. д-р Бојан Илијоски

9.

Prerequisites for enrollment

10.

Subject goals and competencies:


The purpose of this region is to get acquainted with concepts from Bajes statistics and learn to apply them to real problems and different data sets. The student will get acquainted with simulation methods and will learn to interpret the results of Baes`s analysis. Data analysis is done in R and/or Python

11.

Subject content:


Beyesian rule, prior, reliability, posterior distribution. Models for discrete/continuous data types. Conjugated families (Beta, Gamma-Poisson, Normal-Normal). Predicting future events. Beyes`s regression. Loss fuzzy. Decision -making theory. Monte Carlo approximations. Appletory approximation with GIBBS Sampler. MCMC (Monte Carlo Markov Chain). Bajes algorithms in machine learning and their application of different data sets. Introduction to hierarchical modeling.

12.

Learning methods:


Предавања, проекти, дискусии, работилници

13.

Total available time fund

6.0 ECTS x 30 hours = 180 hours

14.

Time distribution

60 + 0 + 60 + 45 + 75 = 180 hours

15.

Forms of teaching activities

15.1.

Lectures - theoretical teaching

60 hours

15.2.

Exercises (laboratory, classroom), seminars, team work

0 hours

16.

Other forms of activities

16.1.

Project tasks

45 hours

16.2.

Independent tasks

60 hours

16.3.

Homework

75 hours

17.

Grading method

17.1.

Tests

60 points

17.2.

Seminar work / project (presentation: written and oral)

45 points

17.3.

Activities and learning

10 points

17.4.

Final exam

0 points

18.

Grading criteria (points / grade)

up to 50 points

5 (five) (F)

from 51 to 60 points

6 (six) (E)

from 61 to 70 points

7 (seven) (D)

from 71 to 80 points

8 (eight) (C)

from 81 to 90 points

9 (nine) (B)

from 91 to 100 points

10 (ten) (A)

19.

Condition for signature and taking final exam

реализирани активности 15 и 16

20.

Language of instruction

македонски и англиски

21.

Quality assurance method

механизам на интерна евалуација и анкети

22.

Literature

22.1.

Mandatory literature

No.

Author

Title

Publisher

Year

7485

Cameron Davidson-Pilon

Bayesian Methods for Hackers: Probabilistic Programming and Bayesian Inference

Addison-Wesley Data & Analytics

2015

7486

John Kruschke

Doing Bayesian Data Analysis: A Tutorial with R, JAGS, and Stan

Elsevier, Academic Press

2015

7487

Joel Grus

Data Science from Scratch (first principles with Python)

O`Reilly

2015

7488

Kandethody M.Ramachandran, Chris P.Tsokos

Mathematical Statistics with Applications

Elsevier, Academic Press

2009

22.2.

Additional literature

No.

Author

Title

Publisher

Year