![SetDirectory["/Users/nechyba/www/eel6825/course_materials/t8.markov_systems/sample_data"] ;](../HTMLFiles/index_1.gif){kind=small}
Import examples (ReadHMM, ReadObservationSequences)
Set directory
Read sample HMM file
Import HMM model
![model = ReadHMM["sample_hmm.hmm"] ;](../HTMLFiles/index_2.gif){kind=small}
A matrix
![model[[1]] // TableForm](../HTMLFiles/index_3.gif){kind=small}
| 0.45196 | 0.54804 | 0. | 0. | 0. |
| 0. | 0.730837 | 0.269163 | 0. | 0. |
| 0. | 0. | 0.695162 | 0.304838 | 0. |
| 0. | 0. | 0. | 0.827637 | 0.172363 |
| 0. | 0. | 0. | 0. | 1. |
B matrix
![model[[2]] // TableForm](../HTMLFiles/index_4.gif){kind=small}
| 0. | 0.141985 | 0. | 0.00984415 | 0.0819263 |
| 0. | 0. | 0.115858 | 0. | 0.0388862 |
| 0. | 0.0253909 | 0.139865 | 0.853684 | 0.00645671 |
| 0. | 0. | 0.0220696 | 0.0270916 | 0.239491 |
| 1. | 0.0558476 | 0. | 0. | 0.270867 |
| 0. | 0. | 0.3061 | 0.00492602 | 0.0129707 |
| 0. | 0.77477 | 0.20795 | 0.0669995 | 0.0099643 |
| 0. | 0.00200682 | 0.208157 | 0.0374546 | 0.339439 |
π vector
![model[[3]] // TableForm](../HTMLFiles/index_5.gif){kind=small}
| 1. |
| 0. |
| 0. |
| 0. |
| 0. |
Read sample observation sequence file
Import observation sequences
![obs = ReadObservationSequences["sample_data.sym"] ;](../HTMLFiles/index_6.gif){kind=small}
Display observation sequences
![TableForm[obs, TableSpacing1]](../HTMLFiles/index_7.gif){kind=small}
| 5 | 1 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 5 | 5 | 5 | |
| 5 | 1 | 1 | 1 | 2 | 2 | 2 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 3 | 3 | 3 | 3 | 3 | 7 | 5 | 5 | ||
| 5 | 5 | 5 | 1 | 1 | 1 | 1 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 7 | 6 | 6 | 6 | 6 | 6 | 1 | 5 | |||
| 5 | 1 | 7 | 7 | 7 | 3 | 4 | 8 | 8 | 2 | 2 | 6 | 6 | 6 | 6 | 7 | 6 | 7 | 7 | 5 | 5 | ||||
| 5 | 1 | 7 | 7 | 3 | 3 | 4 | 3 | 4 | 8 | 8 | 2 | 2 | 2 | 6 | 6 | 6 | 6 | 6 | 1 | 5 | 5 | |||
| 5 | 1 | 8 | 3 | 3 | 4 | 4 | 2 | 2 | 2 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 5 | 5 | 5 | |
| 5 | 5 | 5 | 8 | 8 | 8 | 8 | 8 | 8 | 2 | 2 | 2 | 6 | 6 | 6 | 6 | 6 | 7 | 5 | 5 | 5 | ||||
| 5 | 5 | 5 | 7 | 7 | 8 | 8 | 8 | 8 | 8 | 2 | 2 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 1 | 5 | |||
| 5 | 1 | 1 | 1 | 8 | 8 | 8 | 8 | 8 | 8 | 2 | 2 | 6 | 2 | 6 | 6 | 6 | 6 | 6 | 6 | 7 | 1 | 5 | 5 | |
| 5 | 5 | 7 | 7 | 3 | 8 | 8 | 2 | 2 | 2 | 2 | 2 | 2 | 6 | 6 | 6 | 6 | 6 | 1 | 5 | 5 | 5 | |||
| 5 | 5 | 5 | 7 | 7 | 7 | 3 | 3 | 8 | 8 | 8 | 8 | 2 | 2 | 6 | 6 | 6 | 6 | 6 | 1 | 5 | 5 | |||
| 5 | 5 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 8 | 8 | 2 | 2 | 2 | 6 | 2 | 1 | 1 | 5 | |||||
| 5 | 5 | 5 | 7 | 7 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 2 | 2 | 6 | 1 | 1 | 5 | 5 | |||||
| 5 | 5 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 4 | 8 | 8 | 8 | 8 | 1 | 1 | 5 | ||||
| 5 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 7 | 5 | 5 | |||||
| 5 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 4 | 8 | 8 | 1 | 1 | 5 | |||||
| 5 | 7 | 8 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 4 | 3 | 3 | 3 | 7 | 5 | ||||||||
| 5 | 1 | 3 | 8 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 2 | 2 | 2 | 6 | 6 | 6 | 1 | 5 | |||
| 5 | 1 | 1 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 8 | 4 | 4 | 4 | 4 | 4 | 4 | 2 | 2 | 2 | 1 | 5 | ||
| 5 | 5 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 4 | 4 | 8 | 8 | 1 | 5 | 5 | |||
| 5 | 5 | 1 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 4 | 4 | 4 | 8 | 8 | 1 | 5 | 5 | ||
| 5 | 1 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 4 | 4 | 8 | 8 | 1 | 5 | 5 | ||||
| 5 | 1 | 8 | 8 | 4 | 4 | 4 | 4 | 4 | 2 | 2 | 4 | 4 | 4 | 4 | 4 | 4 | 2 | 2 | 6 | 1 | 1 | 5 | ||
| 5 | 5 | 5 | 7 | 3 | 3 | 3 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 8 | 8 | 1 | 2 | 1 | 6 | 1 | 1 | 5 | ||
| 5 | 5 | 1 | 5 | 8 | 8 | 8 | 8 | 8 | 4 | 4 | 8 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 8 | 8 | 5 | 5 | ||
| 5 | 5 | 5 | 7 | 3 | 3 | 3 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 3 | 8 | 5 | 5 | |||
| 5 | 5 | 5 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 1 | 5 | 5 | |||
| 5 | 5 | 5 | 5 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 8 | 5 | 5 | |||||
| 5 | 5 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 7 | 3 | 3 | 3 | 5 | 5 | 5 | |||||
| 5 | 5 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 8 | 8 | 8 | 4 | 4 | 4 | 8 | 8 | 8 | 5 | |||||
| 5 | 5 | 5 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 4 | 3 | 3 | 3 | 4 | 4 | 8 | 8 | 5 | 5 | ||||
| 5 | 5 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 8 | 8 | 7 | 5 | 5 | |||||||
| 5 | 1 | 8 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 8 | 8 | 8 | 8 | 8 | 5 | 5 | |||||
| 5 | 5 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 8 | 3 | 3 | 3 | 3 | 3 | 8 | 5 | 5 | ||||
| 5 | 5 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 8 | 8 | 1 | 5 | |||
| 5 | 5 | 5 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 5 | 5 | |||||
| 5 | 7 | 7 | 8 | 8 | 8 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 8 | 8 | 5 | 5 | |||||
| 5 | 5 | 5 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 4 | 4 | 3 | 3 | 3 | 3 | 8 | 8 | 8 | 5 | 5 | ||||
| 5 | 1 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 8 | 8 | 1 | 5 | 5 | |||
| 5 | 5 | 5 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 5 | 5 | ||||
| 5 | 5 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 4 | 4 | 4 | 8 | 8 | 1 | 5 | 5 | ||||
| 5 | 1 | 8 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 4 | 4 | 8 | 8 | 1 | 1 | 5 | |||
| 5 | 5 | 8 | 3 | 8 | 4 | 4 | 3 | 3 | 3 | 8 | 3 | 3 | 3 | 3 | 3 | 4 | 4 | 8 | 8 | 8 | 5 | 5 | ||
| 5 | 5 | 1 | 8 | 8 | 8 | 3 | 8 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 8 | 8 | 8 | 8 | 8 | 1 | 5 | 5 | ||
| 5 | 5 | 7 | 7 | 3 | 7 | 7 | 3 | 3 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 5 | 5 | 5 | ||||
| 5 | 5 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 7 | 7 | 7 | 3 | 3 | 3 | 4 | 8 | 8 | 8 | 5 | 5 | 5 | |
| 5 | 5 | 8 | 8 | 8 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 5 | 5 | 5 | |||||
| 5 | 5 | 1 | 1 | 2 | 2 | 8 | 8 | 8 | 8 | 8 | 2 | 8 | 2 | 2 | 2 | 8 | 8 | 8 | 1 | 1 | 1 | 1 | 1 | 5 |
| 5 | 1 | 1 | 8 | 8 | 3 | 3 | 3 | 3 | 3 | 3 | 8 | 3 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 1 | 1 | 1 | 5 |
| 5 | 1 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 8 | 8 | 8 | 8 | 8 | 1 | 1 | 5 | 5 | ||
| 5 | 5 | 7 | 7 | 3 | 3 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 7 | 5 | 5 | 5 | |
| 5 | 5 | 5 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 8 | 3 | 3 | 3 | 8 | 8 | 8 | 8 | 5 | 5 | 5 | ||
| 5 | 5 | 5 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 8 | 8 | 8 | 8 | 1 | 5 | 5 | 5 | ||
| 5 | 5 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 8 | 8 | 8 | 8 | 1 | 5 | 5 | 5 | ||||||||
| 5 | 5 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 8 | 8 | 8 | 8 | 5 | 5 | |||||
| 5 | 5 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 8 | 3 | 3 | 3 | 8 | 8 | 5 | 5 | |||||
| 5 | 5 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 8 | 8 | 8 | 8 | 8 | 8 | 5 | 5 | |||||||
| 5 | 5 | 7 | 3 | 3 | 3 | 8 | 3 | 4 | 3 | 4 | 4 | 4 | 8 | 8 | 8 | 5 | 5 | |||||||
| 5 | 5 | 5 | 7 | 8 | 8 | 3 | 3 | 3 | 3 | 3 | 3 | 4 | 8 | 8 | 8 | 1 | 5 | |||||||
| 5 | 1 | 7 | 7 | 7 | 6 | 7 | 6 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 7 | 7 | 5 | 5 | ||||||
| 5 | 5 | 8 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 7 | 5 | 5 | ||||
| 5 | 1 | 1 | 7 | 3 | 3 | 3 | 4 | 3 | 3 | 3 | 3 | 3 | 4 | 3 | 3 | 3 | 7 | 7 | 5 | |||||
| 5 | 5 | 5 | 7 | 7 | 3 | 8 | 8 | 8 | 8 | 2 | 8 | 8 | 8 | 4 | 8 | 8 | 7 | 5 | 5 | |||||
| 5 | 5 | 5 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 7 | 5 | 5 | |||||
| 5 | 1 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 8 | 1 | 5 | 5 | |||
| 5 | 5 | 1 | 1 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 7 | 3 | 3 | 3 | 3 | 7 | 7 | 5 | 5 | ||
| 5 | 5 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 4 | 8 | 8 | 5 | 5 | |||
| 5 | 5 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 7 | 5 | 5 | 5 | ||
| 5 | 5 | 7 | 7 | 7 | 7 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 8 | 8 | 8 | 8 | 5 | 5 | |||
| 5 | 5 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 8 | 5 | 5 | ||||
| 5 | 5 | 5 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 8 | 5 | 5 | 5 | ||||
| 5 | 1 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 8 | 8 | 8 | 8 | 8 | 5 | 5 | ||||
| 5 | 7 | 7 | 3 | 7 | 3 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 8 | 8 | 5 | 5 | ||||
| 5 | 5 | 5 | 8 | 8 | 8 | 8 | 8 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 8 | 8 | 8 | 8 | 1 | 1 | 5 | |||
| 5 | 5 | 1 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 7 | 7 | 7 | 7 | 3 | 8 | 8 | 8 | 1 | 5 | 5 | ||||
| 5 | 1 | 1 | 8 | 8 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 8 | 3 | 3 | 4 | 8 | 8 | 1 | 5 | 5 | ||||
| 5 | 5 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 3 | 3 | 3 | 3 | 3 | 7 | 5 | 5 | 5 | |||
| 5 | 5 | 7 | 7 | 5 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 3 | 7 | 7 | 7 | 7 | 7 | 7 | 5 | 5 | ||||
| 5 | 5 | 1 | 7 | 3 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 8 | 5 | 5 |
Created by Mathematica (October 20, 2003)