=== Syllabus ===

^ Lect. ^ Topic ^ Pdf ^
| 01 | Markov chains, equivalent representations, ergodicity, convergence theorem for homogeneous Markov chains. | {{:courses:xep33gmm:materials:lecture_01.pdf| }}|
| 02 | Hidden Markov Models on chains for speech recognition: pre-processing, dynamic time warping, HMM-s. | {{:courses:xep33gmm:materials:lecture_02.pdf| }}|
| 03 | Inference tasks for Hidden Markov Models |{{:courses:xep33gmm:materials:lecture_03.pdf| }} |
| 04 | HMMs as exponential families, supervised learning: maximum likelihood estimator| {{:courses:xep33gmm:materials:lecture_04.pdf| }}|
| 05 | Supervised learning: Emprirical risk minimisation for HMMs|{{:courses:xep33gmm:materials:lecture_05.pdf| }} |
| 06 | Unsupervised learning: EM algorithm for HMMs | {{:courses:xep33gmm:materials:lecture_06.pdf| }}|
| 07 | Extensions of Markov models and HMMs: acyclic graphs, uncountable feature and state spaces | {{:courses:xep33gmm:materials:lecture_07.pdf| }}|
| 08 | Extensions of Markov models and HMMs: acyclic graphs, uncountable feature and state spaces (cont'd) | |
| 09 | Markov Random Fields - Markov models on general graphs. Equivalence to Gibbs models| {{:courses:xep33gmm:materials:lecture_09.pdf| }}|
| 10 | Searching the most probable state configuration: transforming the task into a MinCut-problem for the submodular case. | {{:courses:xep33gmm:materials:lecture_10.pdf| }}|
| 11 | Searching the most probable state configuration: approximation algorithms for the general case. | {{:courses:xep33gmm:materials:lecture_11.pdf| }}|
| 12 | Searching the most probable state configuration: approximation algorithms for the general case. (cont'd)| |
| 13 | The partition function and marginal probabilities: approximation algorithms for their estimation. | {{:courses:xep33gmm:materials:lecture_13.pdf| }}|
| 14 | Parameter learning for Gibbs random fields | {{:courses:xep33gmm:materials:lecture_14.pdf| }}|