No of lectures
12*2 lecture hours + 4*4 computer lab hours + 4*2 problem solving classes
PhD students in Statistics, Computer Science, and the Engineering Sciences.
The course was last given
The course gives a solid introduction to Bayesian learning, with special
emphasis on theory, models and methods used in machine learning applications.
The student will learn about the basic ideas and concepts in Bayesian analysis
from detailed analysis of simple probability models. The course presents
simulation algorithms typically used in practical Bayesian work, and course
participants will learn how to apply those algorithms to analyze complex
machine learning models.
After completing the course the student should be able to:
• derive the posterior distribution for a number of basic probability models
• use simulation algorithms to perform a Bayesian analysis of more complex models
• perform Bayesian prediction and decision making
• perform Bayesian model inference.
Students admitted to the Master’s programme in Statistics and Data Mining
fulfill the admission requirements for the course.
Students not admitted to the Masters’ programme in Statistics and Data Mining should have passed:
an intermediate course in probability and statistical inference
a basic course in mathematical analysis
a basic course in linear algebra
a basic course in programming
It also required to have a basic knowledge of linear regression, either as a part of a statistics course, or as a separate course.
The course consists of lectures, computer labs and problem solving sessions.
The lectures are devoted to presentations of concepts and methods. The computer
labs are used for practical applications of Bayesian inference. The problem
solving sessions are for applying the theory to concrete problems.
Language of instruction: English.
Likelihood, Subjective probability, Bayes theorem, Prior and posterior distribution, Bayesian analysis of the following models: Bernoulli, Normal, Multinomial, Multivariate normal, Linear and nonlinear regression, Binary regression, Mixture models; Regularization priors, Classification, Naïve Bayes, Marginalization, Posterior approximation, Prediction, Decision theory, Markov Chain Monte Carlo, Gibbs sampling, Bayesian variable selection, Model selection, Model averaging.
Bayesian Data Analysis, 3rd edition.
Mattias Villani/Matias Quiroz
The course is examined by written reports on computer lab assignments and by a computer exam.
6 ECTS credits.
The course is also given within the master programme Statistics and Data Mining, and on the master's level in some engineering programmes.
Page responsible: Director of Graduate Studies
Last updated: 2012-05-03