TMA4300 Computer Intensive Statistical Methods spring 2017
Lecture log
Below you find an overview of what we have discussed in each lecture. This overview will be updated after each lecture.
| Week | Date | Topic(s) | Sections in | Sections in | Sections in | Pdfs | Comments |
|---|---|---|---|---|---|---|---|
| Givens and Hoeting | Gamerman and Lopes | Hastie, Tibshirani and Friedman | |||||
| 16 | Exercise 3. | No lectures this week. | |||||
| 15 | Easter holiday. | ||||||
| 14 | Exercise 3. | No lectures this week. | |||||
| 13 | 31.03 | Bootstrapping: confidence interval, prediction error. Permutation tests. | 9.3.1, 9.3.2.2, 9.8. | IntroductionAndMore.pdf | |||
| 13 | 27.03 | Paramtric bootstrapping, bootstrapping of time series and regression data, bootstrapping of bias. | 9.2, 9.5.1 | Introduction.pdf | |||
| 12 | 24.03 | Emperical distribution, plug-in principle, non-paramtric bootstrapping. | 9.1, 9.2.1 | Introduction.pdf | |||
| 12 | 20.03 | \(k\)-nearest neighbour classifier, cross validation. | 13.3 (p. 463-468), 7.10 | IntroductionAndMore.pdf | |||
| 11 | 13.03 | Classification, LDA, QDA. | 4.1, 4.3 (p. 106-112) | IntroductionAndMore.pdf | Remember the oral presentations on Friday this week. | ||
| 10 | Exercise 2. | No lectures this week. | |||||
| 9 | 03.03 | Exercise 2. | No lecture. | ||||
| 9 | 02.03 | k-parameter exponential distributions and conjugate prior distributions, conditional conjugacy. | 2.3.1, 2.3.3 | IntroductionAndMore.pdf | |||
| 9 | 27.02 | Exercise 2. | No lecture. | ||||
| 8 | 23.02 | One-parameter exponential family and conjugate prior distributions. | 2.3.1 | Introduction.pdf | |||
| 8 | 20.02 | Convergence diagnostics, comparison of algorithms, typical MCMC problems, variance estimation, improper priors. | 7.2.4, 7.2.5, 7.3 | 5.3.3, 5.3.4, 5.3.5, 5.4, 6.4 | IntroductionAndMore.pdf | Remember the lecture on Thursday this week. | |
| 7 | 17.02 | Combination of strategies, Gibbs sampler, Convergence diagnostics. | 7.2.1-7.2.3, 7.3.1.1, 7.3.1.2, 7.3.1.6, 7.3.2 | 5.1, 5.2, 5.3.1, 5.3.2, 5.4 | IntroductionAndExamples.pdf | ||
| 7 | 13.02 | Metropos-Hastings for continuous distributions, Independent proposals, random walk proposals, combination of strategies. | 7.1.1, 7.1.2 | 6.3 | IntroductionAndExamples.pdf | Remember the oral presentations on Thursday this week. | |
| 6 | 10.02 | The Metropolis-Hastings algorithm. | 7.1 | 6.1, 6.2 | IntroductionAndIsingExample.pdf | ||
| 6 | 06.02 | Introduction to Markov chain Monte Carlo (MCMC). | 7.1 | 6.1, 6.2 | IntroductionAndExample.pdf | Remember the oral presentations on Thursday this week. | |
| 4-5 | Exercise 1. | No lectures these two weeks. | |||||
| 3 | 20.01 | Introduction to Bayesian modelling and hierarchical Bayesian modelling. | 2.1, 2.2, 2.4 | Information.pdf, bayesIntro.pdf | |||
| 3 | 19.01 | Adaptive rejection sampling, Monte Carlo integration, importance sampling. | 6.2.3.2, 6.1, 6.4.1 | 1.5.3 | introduction.pdf | ||
| 3 | 16.01 | Simulation from multivariate normal distributions, rejection sampling. | 6.2.3 | 1.4, 1.5.1 | introduction.pdf | See message dated 16.01 at Home | |
| 2 | 13.01 | Bivariate techniques, Box-Muller, ratio-of-uniforms method, methods based on mixtures. | 1.3.2, 1.3.3 | introduction.pdf | |||
| 2 | 12.01 | Simulation from continuous distribution: inversion method, gamma distribution, bivariate techniques. | 6.2.1, 6.2.2 | 1.3.1, 1.3.2 | introduction.pdf | ||
| 2 | 09.01 | Introduction, simulation from discrete distributions. | 6.1 | 1.1, 1.2 | introduction.pdf |