KTH Mathematics  


A Graduate Course:
Statistical Genetics and Bayesian Networks (7.5 p)
FSF 39xx

This course is of interest for geneticists, statisticians and computer scientists who work with,e.g., modelling of highly complex systems, genetic regulatory networks and genetic data analysis and need understanding of statistical models using probabilities factorized according to directed acyclic graphs (DAGs) and the algorithms for the updating of probabilistic uncertainty in response to evidence, and statistical learning of model parameters and structures.


Syllabus :
The course will consist of three main parts:

(I) Probability and statistics basics

(II) definition and basic properrties of Bayesian networks

(III) Further properties of Bayesian networks:

  • Causality and directed acyclic graphs, and d-separation, conditional independence
  • Markov properties for directed acyclic graphs and faithfulness.
  • Learning about probabilities
  • Structural learning; MDL
  • Causality and intervention calculus

The textbook is :

  • R.E. Neapolitan: Probabilistic methods for bioinformatics with an application to Bayesian Networks.Morgan and Kaufman 2009. It may be ordered from amazon.co.uk here

Another textbook :

  • T. Koski & J.Noble: Bayesian Networks and Causal Probability Calculus. 2009.Bayesian Networks: An Introduction (2009) published by Wiley. It may be ordered from amazon.co.uk here

Credit points : 7.5 p.

Examination : Homework assignments submitted to the examiner as a report .

THE COURSE FLYER : click




FIRST LECTURE: THURSDAY 8th of April


HOMEWORK SET 1. click

SECOND LECTURE: TUESDAY 13th of April


HANDOUT click

HOMEWORK SET 2. click

THIRD LECTURE: THURSDAY 22ND of April


HOMEWORK SET 3. click



FOURTH LECTURE: THURSDAY 29ND of April , 13.15, room 3733, dept. of math.


HOMEWORK SET 4. click


FIFTH LECTURE: TUESDAY 4TH of May, , 10.15, room 3733, dept. of math.


HOMEWORK SET 5. click


HANDOUT ON LEARNING click


SIXTH LECTURE: TUESDAY 11TH of May, 10.15, room 3733, dept. of math.

HOMEWORK SET 6. click


SEVENTH LECTURE: THURSDAY 20TH of May, 13.15, room 3733, dept. of math.

HOMEWORK SET 7. click


EIGHTH (final) LECTURE: THURSDAY 27TH of May, 13.15, room 3733, dept. of math.

HOMEWORK SET 8. click


NINTH (presentations) LECTURE: (to be announced), 13.15, room 3733, dept. of math.


Links and resources




Course schedule and information

Timo Koski Lecturer and Examiner

Address:
Department of Mathematics
Royal Institute of Technology
SE-100 44 Stockholm
Sweden
Email: tjtkoski@kth.se
Phone: +46-8-790 71 34
Office: 3444
Published by: Timo Koski
Updated: 30/8-2007