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Bayesian Model Selection (Fall, 2026)

This course offers a mathematically rigorous introduction to Bayesian statistics and its related fields. We cover the concepts of prior distributions and evidence, the EM algorithm, MCMC sampling, and Bayesian optimization, along with mathematical foundations.

Course instructors

Course Materials & Plan

Week  Date Topic
1 20260915 Introduction
2 20260922 Introduction: Naive Bayes Classifier. Exponential Family of distributions
3 20260929 Bayesian Linear Regression and Evidence
4 20261011 Bayesian Linear Regression and Evidence (continued)
5 20261013 Evidence and Feature Selection in Linear and Logistic Regression
6 20261020 Evidence and Feature Selection in Linear and Logistic Regression (continued)
7 20261027 Bayesian Logistic Regression. EM Algorithm

Home Assignments

Assignment Published Deadline
Theory 1 20260926 20261011, 16:00 MSK
Theory 2 20261013 20261031, 23:59 MSK
Applied 1 20261018 20261108, 23:59 MSK

References and Related Literature

  1. Barber D. Bayesian reasoning and machine learning. – Cambridge, UK : Cambridge University Press, 2012. – Т. 1.

  2. Sinho Chewi (2026). Log-Concave Sampling: pdf.