Bayesian methods and modern statistics
Fall 2023
Schedule
| Week | Date | Topic | Reading | Notes | Assignment |
|---|---|---|---|---|---|
| 1 | Mon Aug 28 | lab: welcome | 💻 | hello R | |
| Tue Aug 29 | intro, history, notation | Ch. 2 | hw 0 | ||
| Thu Aug 31 | probability, exchangeability | Ch. 2 | 💻 | hw 1 | |
| 2 | Mon Sep 04 | NO LAB | |||
| Tue Sep 05 | single parameter estimation | Ch. 3 | 💻 | ||
| Thu Sep 07 | Poisson model and conjugacy | Ch. 3 | hw 2 | ||
| 3 | Mon Sep 11 | lab: MLE and MAP estimator | 💻 | ||
| Tue Sep 12 | reliability, exp. families | Ch. 3 | 💻, 📝 | ||
| Thu Sep 14 | prediction, Monte Carlo intro | Ch. 4 | 💻, 📝 | hw 3 | |
| 4 | Mon Sep 18 | lab: prior sensitivity and change of variables | 💻 | ||
| Tue Sep 19 | Monte Carlo integration | Ch. 4 | 💻 | ||
| Thu Sep 21 | the normal model | Ch. 5 | 💻 | ||
| 5 | Mon Sep 25 | practice and review | 💻 | ||
| Tue Sep 26 | catch up / review | ||||
| Thu Sep 28 | Exam I | ||||
| 6 | Mon Oct 02 | NO LAB | |||
| Tue Oct 03 | the normal model II | Ch. 5 | hw 4 | ||
| Thu Oct 05 | estimators | Ch. 5 | 💻, 📝 | ||
| 7 | Mon Oct 09 | lab: predictive checks and bias | 💻 | ||
| Tue Oct 10 | Gibbs sampling | Ch. 6 | 💻 | ec | |
| Thu Oct 12 | MCMC diagnostics | Ch. 6 | 💻 | hw 5 | |
| 8 | Mon Oct 16 | NO LAB | |||
| Tue Oct 17 | NO CLASS | ||||
| Thu Oct 19 | multivariate normal (mvn) | Ch. 7 | 💻 | ||
| 9 | Mon Oct 23 | full conditional review | |||
| Tue Oct 24 | mvn parameter estimation | Ch. 7 | 💻, 📝 | hw 6 | |
| Thu Oct 26 | hierarchical modeling intro | Ch. 8 | 💻 | ||
| 10 | Mon Oct 30 | traceplots and MCMC diagnostics | 💻 | ||
| Tue Oct 31 | intro to Bayesian regression | Ch. 9 | 💻 | hw 7 | |
| Thu Nov 02 | Bayesian regression II | Ch. 9 | 💻 | ||
| 11 | Mon Nov 06 | Hierarchical modeling and Gibbs sampling practice | |||
| Tue Nov 07 | Bayesian regression III Guest lecture: Prof. Peter Hoff |
Ch. 9 | hw 8 | ||
| Thu Nov 09 | NO CLASS: read chapter summaries | ||||
| 12 | Mon Nov 13 | exam practice | 💻 | ||
| Tue Nov 14 | review | ||||
| Thu Nov 16 | Exam II | ||||
| 13 | Mon Nov 20 | NO LAB | |||
| Tue Nov 21 | Bayesian regression example + stan intro | ||||
| Thu Nov 23 | NO CLASS | ||||
| 14 | Mon Nov 27 | rstanarm | 💻 | ||
| Tue Nov 28 | intro to Metropolis algorithm | Ch. 10 | 📝 | hw 9 | |
| Thu Nov 30 | Metropolis-Hastings | Ch. 10 | 💻 | ||
| 15 | Mon Dec 04 | MCMC practice | 💻 | ||
| Tue Dec 05 | MCMC and HMC | Ch. 10 | 💻 | ||
| Thu Dec 07 | final review |