├── LICENSE ├── Readme.md ├── data ├── acc.png ├── model_init.txt ├── seq_model_01.txt ├── seq_model_02.txt ├── seq_model_03.txt ├── seq_model_04.txt ├── seq_model_05.txt ├── testing_answer.txt ├── testing_data1.txt ├── testing_data2.txt ├── testing_result1.txt └── training_log.txt ├── problem_description.pdf └── src ├── Makefile ├── hmm.cpp ├── hmm.h ├── model_01.txt ├── model_02.txt ├── model_03.txt ├── model_04.txt ├── model_05.txt ├── modellist.txt ├── plot.py ├── test ├── test_hmm.cpp ├── train └── train_hmm.cpp /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2018 Ting-Wei, Liu 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /Readme.md: -------------------------------------------------------------------------------- 1 | # Digital Signal Processing: Discrete HMM 2 | - **Discrete Hidden Markov Model Implementation in C++** 3 | - Implemented based on the course DSP offered by NTU: [HMM.pdf](https://drive.google.com/file/d/1mDkCqMQ3DoAsyoTG0nysyx3h-6ehDcmi/view?usp=sharing) 4 | 5 | 6 | ## Environment 7 | * **< g++ [gcc version 8.2.0 (GCC)] >** (Tested) 8 | * **< g++ [gcc version 7.3.0 (GCC)] >** (Tested) 9 | * **< g++ [gcc version 4.2.1 (GCC)] >** (Tested) 10 | * **< Python 3.6+ >** (Optional - for plot.py) 11 | * **< Matplotlib 2.2.3 >** (Optional - for plot.py) 12 | 13 | ## Algorithm 14 | 15 | ### Training - [Baum Welch algorithm](https://en.wikipedia.org/wiki/Baum–Welch_algorithm) 16 | * **Initialization**: 17 | - Set **θ = ( A , B , π )** with initial conditions (model_init.txt) 18 | * **Forward Procedure**: 19 | - Compute **αi(t) = P( O1=o1, ..., Ot=ot, qt=i | θ )** recursively, the probability of seeing the observation sequence **o1, o2, ..., ot** and being in state **i** at time **t**. 20 | * **Backward Procedure**: 21 | - Compute **βi(t) = P( Ot+1=ot+1, ..., OT=oT | qt=i, θ )** recursively, the probability of the ending partial observation sequence **ot+1, ot+2, ..., oT** given starting state **i** at time **t**. 22 | * **Accumulation Procedure**: 23 | - Calculate the temporary variables, according to Bayes' theorem. 24 | - Gamma: the probability of being in state **i** at time **t** given the observed sequence **O** and the parameters **θ**. 25 | - Epsilon: the probability of being in state **i** and **j** at times **t** and **t+1** respectively given the observed sequence **O** and parameters **θ**. 26 | * **Update Procedure**: 27 | - Parameters of the hidden Markov model θ can now be updated: **( A , B , π ) = ( A\* , B\* , π\* )** 28 | 29 | ### Testing - [Viterbi Algorithm](https://en.wikipedia.org/wiki/Viterbi_algorithm) 30 | * A dynamic programming algorithm for finding the most likely sequence of hidden states, that results in a sequence of observed events. 31 | * Given a hidden Markov model (HMM) with state space **Q**, initial probabilities **πi** of being in state **i** and transition probabilities **a(i,j)** of transitioning from state **i** to state **j**. Say we observe outputs **o1, ..., oT**. The most likely state sequence **q1, ..., qT** that produces the observations is given by the Viterbi relations. 32 | * This algorithm generates a path **Q = ( q1, q2, ..., qT )**, which is a sequence of states **qt ∈ Q = { q1, q2, ..., qK }** that generate the observations **O = ( o1, o2, ..., oT )** with **on ∈ O = { o1, o2, ..., oN }**, N being the count of observations. 33 | 34 | 35 | ## File Description 36 | ``` 37 | . 38 | ├── src/ 39 | | ├── Makefile g++ compiler make file 40 | | ├── hmm.h HMM implementation 41 | | ├── hmm.cpp HMM implementation 42 | | ├── test_hmm.cpp Testing algorithm implementation 43 | | ├── train_hmm.cpp Training algorithm implementation 44 | | ├── test Unix executable binary code for test_hmm.cpp (See the next "Usage" section for more details) 45 | | ├── train Unix executable binary code for train_hmm.cpp (See the next "Usage" section for more details) 46 | | ├── plot.py Draws the training plot 47 | | ├── model_01~05.txt Trained models 48 | | └── modellist.txt Model name list 49 | ├── data/ 50 | | ├── model_init.txt Initial model for training 51 | | ├── seq_model_01~05.txt Training data (observation sequences) 52 | | ├── testing_data1.txt Testing data (observation sequences) 53 | | ├── testing_answer.txt Real answer for "testing_data1.txt" 54 | | ├── testing_result.txt Model generated answer for "testing_data1.txt" 55 | | └── testing_data2.txt Testing data without answer 56 | ├──problem_description.pdf Work Spec 57 | └── Readme.md This File 58 | ``` 59 | 60 | 61 | ## Usage 62 | 63 | ### Train models separately, then test 64 | ``` 65 | └── src/ 66 | ├── make clean 67 | ├── make 68 | ├── ./train #iteration ../data/model_init.txt ../data/seq_model_01.txt model_01.txt 69 | ├── ./train #iteration ../data/model_init.txt ../data/seq_model_02.txt model_02.txt 70 | ├── ./train #iteration ../data/model_init.txt ../data/seq_model_03.txt model_03.txt 71 | ├── ./train #iteration ../data/model_init.txt ../data/seq_model_04.txt model_04.txt 72 | ├── ./train #iteration ../data/model_init.txt ../data/seq_model_05.txt model_05.txt 73 | └── ./test modellist.txt ../data/testing_data1.txt ../data/testing_result1.txt 74 | - #iteration is positive integer, which is the iteration of the Baum-Welch algorithm. 75 | ``` 76 | 77 | ### Train all models at once, then test 78 | ``` 79 | └── src/ 80 | ├── make clean 81 | ├── make 82 | ├── ./train 250 ../data/model_init.txt ../data/ modellist.txt all 83 | └── ./test modellist.txt ../data/testing_data1.txt ../data/testing_result1.txt 84 | - #iteration is positive integer, which is the iteration of the Baum-Welch algorithm. 85 | ``` 86 | 87 | ### Train all models at once, along with the calculation of the HMM's test score in every iteration **(Suggest Usage)** 88 | ``` 89 | └── src/ 90 | ├── make clean 91 | ├── make 92 | ├── ./train 250 ../data/model_init.txt ../data/ modellist.txt all test 93 | └── ./test modellist.txt ../data/testing_data1.txt ../data/testing_result1.txt 94 | - #iteration is positive integer, which is the iteration of the Baum-Welch algorithm. 95 | ``` 96 | 97 | ### Draw Training Plot 98 | ``` 99 | └── src/ 100 | └── python3 plot.py 101 | ``` 102 | 103 | 104 | ## Experinment: Iteration v.s. Accuracy Plot 105 | * **Result**: Maximum accuracy **0.8708** achieved at the 2560-th iteration 106 | * **Training Plot**: 107 | ![](https://github.com/andi611/DSP_HiddenMarkovModel/blob/master/data/acc.png) 108 | -------------------------------------------------------------------------------- /data/acc.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/andi611/Hidden-Markov-Model-Digital-Signal-Processing/a67c0c3b913b39c1b1857edbd6c54729c1142256/data/acc.png -------------------------------------------------------------------------------- /data/model_init.txt: -------------------------------------------------------------------------------- 1 | initial: 6 2 | 0.20000 0.10000 0.20000 0.20000 0.20000 0.10000 3 | 4 | transition: 6 5 | 0.30000 0.30000 0.10000 0.10000 0.10000 0.10000 6 | 0.10000 0.30000 0.30000 0.10000 0.10000 0.10000 7 | 0.10000 0.10000 0.30000 0.30000 0.10000 0.10000 8 | 0.10000 0.10000 0.10000 0.30000 0.30000 0.10000 9 | 0.10000 0.10000 0.10000 0.10000 0.30000 0.30000 10 | 0.30000 0.10000 0.10000 0.10000 0.10000 0.30000 11 | 12 | observation: 6 13 | 0.20000 0.20000 0.10000 0.10000 0.10000 0.10000 14 | 0.20000 0.20000 0.20000 0.20000 0.10000 0.10000 15 | 0.20000 0.20000 0.20000 0.20000 0.20000 0.20000 16 | 0.20000 0.20000 0.20000 0.20000 0.20000 0.20000 17 | 0.10000 0.10000 0.20000 0.20000 0.20000 0.20000 18 | 0.10000 0.10000 0.10000 0.10000 0.20000 0.20000 19 | -------------------------------------------------------------------------------- /data/testing_answer.txt: -------------------------------------------------------------------------------- 1 | model_01.txt 2 | model_05.txt 3 | model_01.txt 4 | model_02.txt 5 | model_02.txt 6 | model_04.txt 7 | model_03.txt 8 | model_05.txt 9 | model_04.txt 10 | model_01.txt 11 | model_05.txt 12 | model_01.txt 13 | model_04.txt 14 | model_03.txt 15 | model_03.txt 16 | model_01.txt 17 | model_05.txt 18 | model_05.txt 19 | model_03.txt 20 | 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model_01.txt 2471 | model_01.txt 2472 | model_03.txt 2473 | model_02.txt 2474 | model_03.txt 2475 | model_05.txt 2476 | model_03.txt 2477 | model_05.txt 2478 | model_04.txt 2479 | model_03.txt 2480 | model_03.txt 2481 | model_01.txt 2482 | model_04.txt 2483 | model_05.txt 2484 | model_05.txt 2485 | model_03.txt 2486 | model_05.txt 2487 | model_03.txt 2488 | model_03.txt 2489 | model_01.txt 2490 | model_01.txt 2491 | model_05.txt 2492 | model_02.txt 2493 | model_02.txt 2494 | model_04.txt 2495 | model_03.txt 2496 | model_03.txt 2497 | model_05.txt 2498 | model_01.txt 2499 | model_02.txt 2500 | model_05.txt 2501 | -------------------------------------------------------------------------------- /data/testing_result1.txt: -------------------------------------------------------------------------------- 1 | model_01.txt 2.21997e-33 2 | model_05.txt 1.75422e-39 3 | model_01.txt 2.05149e-32 4 | model_02.txt 1.45245e-37 5 | model_02.txt 9.91941e-42 6 | model_04.txt 9.2566e-40 7 | model_03.txt 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2781 | 0.87 2781 2782 | 0.87 2782 2783 | 0.87 2783 2784 | 0.87 2784 2785 | 0.87 2785 2786 | 0.87 2786 2787 | 0.87 2787 2788 | 0.87 2788 2789 | 0.87 2789 2790 | 0.87 2790 2791 | 0.87 2791 2792 | 0.87 2792 2793 | 0.87 2793 2794 | 0.87 2794 2795 | 0.87 2795 2796 | 0.87 2796 2797 | 0.87 2797 2798 | 0.87 2798 2799 | 0.87 2799 2800 | 0.87 2800 2801 | 0.87 2801 2802 | 0.87 2802 2803 | 0.87 2803 2804 | 0.87 2804 2805 | 0.87 2805 2806 | 0.87 2806 2807 | 0.87 2807 2808 | 0.87 2808 2809 | 0.87 2809 2810 | 0.87 2810 2811 | 0.87 2811 2812 | 0.87 2812 2813 | 0.87 2813 2814 | 0.87 2814 2815 | 0.87 2815 2816 | 0.87 2816 2817 | 0.87 2817 2818 | 0.87 2818 2819 | 0.87 2819 2820 | 0.87 2820 2821 | 0.87 2821 2822 | 0.87 2822 2823 | 0.87 2823 2824 | 0.87 2824 2825 | 0.87 2825 2826 | 0.87 2826 2827 | 0.87 2827 2828 | 0.87 2828 2829 | 0.8704 2829 2830 | 0.8704 2830 2831 | 0.8704 2831 2832 | 0.8704 2832 2833 | 0.8704 2833 2834 | 0.8704 2834 2835 | 0.8704 2835 2836 | 0.8704 2836 2837 | 0.8704 2837 2838 | 0.8704 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0.8704 2891 2892 | 0.8704 2892 2893 | 0.8704 2893 2894 | 0.8704 2894 2895 | 0.8704 2895 2896 | 0.8704 2896 2897 | 0.8704 2897 2898 | 0.8704 2898 2899 | 0.8704 2899 2900 | 0.8704 2900 2901 | 0.8708 2901 2902 | 0.8708 2902 2903 | 0.8708 2903 2904 | 0.8708 2904 2905 | 0.8708 2905 2906 | 0.8708 2906 2907 | 0.8708 2907 2908 | 0.8708 2908 2909 | 0.8708 2909 2910 | 0.8708 2910 2911 | 0.8708 2911 2912 | 0.8708 2912 2913 | 0.8708 2913 2914 | 0.8708 2914 2915 | 0.8708 2915 2916 | 0.8708 2916 2917 | 0.8708 2917 2918 | 0.8708 2918 2919 | 0.8708 2919 2920 | 0.8708 2920 2921 | 0.8708 2921 2922 | 0.8708 2922 2923 | 0.8708 2923 2924 | 0.8708 2924 2925 | 0.8708 2925 2926 | 0.8708 2926 2927 | 0.8708 2927 2928 | 0.8708 2928 2929 | 0.8708 2929 2930 | 0.8708 2930 2931 | 0.8708 2931 2932 | 0.8708 2932 2933 | 0.8708 2933 2934 | 0.8708 2934 2935 | 0.8708 2935 2936 | 0.8708 2936 2937 | 0.8708 2937 2938 | 0.8708 2938 2939 | 0.8708 2939 2940 | 0.8708 2940 2941 | 0.8708 2941 2942 | 0.8708 2942 2943 | 0.8708 2943 2944 | 0.8708 2944 2945 | 0.8708 2945 2946 | 0.8708 2946 2947 | 0.8708 2947 2948 | 0.8708 2948 2949 | 0.8708 2949 2950 | 0.8708 2950 2951 | 0.8708 2951 2952 | 0.8708 2952 2953 | 0.8708 2953 2954 | 0.8708 2954 2955 | 0.8708 2955 2956 | 0.8708 2956 2957 | 0.8708 2957 2958 | 0.8708 2958 2959 | 0.8708 2959 2960 | 0.8708 2960 2961 | 0.8708 2961 2962 | 0.8708 2962 2963 | 0.8708 2963 2964 | 0.8708 2964 2965 | 0.8708 2965 2966 | 0.8708 2966 2967 | 0.8708 2967 2968 | 0.8708 2968 2969 | 0.8708 2969 2970 | 0.8708 2970 2971 | 0.8708 2971 2972 | 0.8708 2972 2973 | 0.8708 2973 2974 | 0.8708 2974 2975 | 0.8708 2975 2976 | 0.8708 2976 2977 | 0.8708 2977 2978 | 0.8708 2978 2979 | 0.8708 2979 2980 | 0.8708 2980 2981 | 0.8708 2981 2982 | 0.8708 2982 2983 | 0.8708 2983 2984 | 0.8708 2984 2985 | 0.8708 2985 2986 | 0.8708 2986 2987 | 0.8708 2987 2988 | 0.8708 2988 2989 | 0.8708 2989 2990 | 0.8708 2990 2991 | 0.8708 2991 2992 | 0.8708 2992 2993 | 0.8708 2993 2994 | 0.8708 2994 2995 | 0.8708 2995 2996 | 0.8708 2996 2997 | 0.8708 2997 2998 | 0.8708 2998 2999 | 0.8708 2999 3000 | 0.8708 3000 3001 | -------------------------------------------------------------------------------- /problem_description.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/andi611/Hidden-Markov-Model-Digital-Signal-Processing/a67c0c3b913b39c1b1857edbd6c54729c1142256/problem_description.pdf -------------------------------------------------------------------------------- /src/Makefile: -------------------------------------------------------------------------------- 1 | .PHONY: clean all 2 | 3 | TARGET1 = test 4 | TARGET2 = train 5 | 6 | # type make/make all to compile test_hmm 7 | all: $(TARGET1) $(TARGET2) 8 | 9 | # CC = g++-8 10 | CC = g++ 11 | CFLAGS = -ansi -std=c++11 -O3 12 | LDFLAGS = -lm # link to math library 13 | 14 | $(TARGET1): test_hmm.cpp 15 | $(CC) hmm.cpp test_hmm.cpp $(CFLAGS) $(LDFLAGS) -o $(TARGET1) 16 | 17 | $(TARGET2): train_hmm.cpp 18 | $(CC) hmm.cpp train_hmm.cpp $(CFLAGS) $(LDFLAGS) -o $(TARGET2) 19 | 20 | # type make clean to remove the compiled file 21 | clean: 22 | $(RM) $(TARGET1) $(TARGET2) 23 | -------------------------------------------------------------------------------- /src/hmm.cpp: -------------------------------------------------------------------------------- 1 | /**************************************************************************** 2 | FileName [ hmm.cpp ] 3 | Synopsis [ .cpp file for hmm.h ] 4 | Author [ Ting-Wei Liu (Andi611) ] 5 | Copyright [ Copyleft(c), NTUEE, NTU, Taiwan ] 6 | ****************************************************************************/ 7 | #include "hmm.h" 8 | #include 9 | using namespace std; 10 | 11 | 12 | /************************************/ 13 | /* class HMM Functions */ 14 | /************************************/ 15 | void HMM::initialize_HMM() 16 | { 17 | _initial = vector (MAX_STATE, FLT_MAX); 18 | _transition = vector>(MAX_STATE, vector(MAX_STATE, FLT_MAX)); 19 | _observation = vector>(MAX_STATE, vector(MAX_OBSERV, FLT_MAX)); 20 | } 21 | 22 | 23 | void HMM::load_HMM(const char* filename) 24 | { 25 | int i, j; 26 | int f; 27 | FILE* fp = open_file(filename, "r"); 28 | 29 | string str(filename); 30 | _model_name = str; 31 | 32 | char token[MAX_LINE] = ""; 33 | while (fscanf( fp, "%s", token ) > 0 ) 34 | { 35 | if (token[0] == '\0' || token[0] == '\n' ) continue; 36 | 37 | if (strcmp( token, "initial:" ) == 0 ) { 38 | f = fscanf(fp, "%d", &_state_num ); 39 | if (!_max_allocate) _initial = vector (_state_num, FLT_MAX); 40 | for (i = 0 ; i < _state_num ; i++ ) 41 | f = fscanf(fp, "%lf", &( _initial[i] ) ); 42 | } 43 | else if (strcmp( token, "transition:" ) == 0 ) { 44 | f = fscanf(fp, "%d", &_state_num ); 45 | if (!_max_allocate) _transition = vector>(_state_num, vector(_state_num, FLT_MAX)); 46 | for (i = 0 ; i < _state_num ; i++ ) 47 | for (j = 0 ; j < _state_num ; j++ ) 48 | f = fscanf(fp, "%lf", &(_transition[i][j])); 49 | } 50 | else if (strcmp( token, "observation:" ) == 0 ) { 51 | f = fscanf(fp, "%d", &_observ_num ); 52 | if (!_max_allocate) _observation = vector>(_state_num, vector(_observ_num, FLT_MAX)); 53 | for (i = 0 ; i < _observ_num ; i++ ) 54 | for (j = 0 ; j < _state_num ; j++ ) 55 | f = fscanf(fp, "%lf", &( _observation[i][j]) ); 56 | } 57 | } 58 | } 59 | 60 | 61 | void HMM::dump_HMM(FILE *fp, bool display) const 62 | { 63 | int i, j; 64 | 65 | if (display) { 66 | fprintf(fp, "===============================================\n"); 67 | fprintf(fp, "model name: %s\n", _model_name.c_str() ); 68 | } 69 | fprintf(fp, "initial: %d\n", _state_num ); 70 | for (i = 0 ; i < _state_num - 1; i++ ) 71 | fprintf(fp, "%.5lf ", _initial[i]); 72 | fprintf(fp, "%.5lf\n", _initial[ _state_num - 1 ] ); 73 | 74 | fprintf(fp, "\ntransition: %d\n", _state_num ); 75 | for (i = 0 ; i < _state_num ; i++ ) { 76 | for (j = 0 ; j < _state_num - 1 ; j++ ) 77 | fprintf( fp, "%.5lf ", _transition[i][j] ); 78 | fprintf(fp,"%.5lf\n", _transition[i][_state_num - 1]); 79 | } 80 | fprintf(fp, "\nobservation: %d\n", _observ_num ); 81 | for (i = 0 ; i < _observ_num ; i++ ) { 82 | for (j = 0 ; j < _state_num - 1 ; j++ ) 83 | fprintf( fp, "%.5lf ", _observation[i][j] ); 84 | fprintf(fp,"%.5lf\n", _observation[i][_state_num - 1]); 85 | } 86 | } 87 | 88 | 89 | double HMM::test_HMM(vector* obs) const 90 | { 91 | // viterbi algorithm 92 | vector>* delta = new vector>(T, vector(N_S, 0)); 93 | for (int i = 0; i < N_S; ++i) 94 | delta(0, i) = PI(i) * B(i, o(0)); 95 | for (int t = 0; t < T-1; ++t) 96 | for (int j = 0; j < N_S; ++j) { 97 | for (int i = 0; i < N_S; ++i) 98 | if (delta(t+1, j) < (delta(t, i) * A(i, j))) 99 | delta(t+1, j) = delta(t, i) * A(i, j); 100 | delta(t+1, j) *= B(j, o(t+1)); 101 | } 102 | double viterbi_prob = 0; 103 | for (int i = 0; i < N_S; ++i) 104 | if (viterbi_prob < delta(T-1, i)) 105 | viterbi_prob = delta(T-1, i); 106 | delete delta; 107 | return viterbi_prob; 108 | } 109 | 110 | 111 | /***************************************/ 112 | /* Testing Functions */ 113 | /***************************************/ 114 | double test(vector* HMM_HEAD, vector>* data, const string& output_path, bool print_log){ 115 | 116 | vector* max_prob = new vector(data->size(), 0); 117 | vector* model = new vector(data->size(), 0); 118 | vector* obs; 119 | 120 | // run test 121 | for (int i = 0; i < data->size(); ++i) { 122 | if (print_log) cout << "\r" << "HMM testing: " << i << '/' << data->size() << "... " << flush; 123 | obs = &data->at(i); 124 | 125 | double prob = 0; 126 | for (int m = 0; m < HMM_HEAD->size(); ++m) { 127 | prob = HMM_HEAD->at(m)->test_HMM(obs); 128 | if (max_prob->at(i) < prob){ 129 | max_prob->at(i) = prob; 130 | model->at(i) = m; 131 | } 132 | } 133 | } 134 | if (print_log) cout << "\r" << "HMM testing: " << data->size() << '/' << data->size() << "... " << " Complete." << endl; 135 | 136 | // output results 137 | ofstream file; 138 | file.open(output_path.c_str()); 139 | for (int i = 0; i < data->size(); ++i) 140 | file << HMM_HEAD->at(model->at(i))->get_name() << ' ' << max_prob->at(i) << '\n'; 141 | file.close(); 142 | 143 | double acc = compute_acc("../data/testing_answer.txt", output_path); 144 | if (print_log) cout << "Testing accuracy: " << acc << endl; 145 | delete max_prob; 146 | delete model; 147 | return acc; 148 | } 149 | 150 | 151 | double compute_acc(const string& answer_path, const string& result_path) 152 | { 153 | // opening file 154 | ifstream ifs_ans(answer_path.c_str()); 155 | ifstream ifs_res(result_path.c_str()); 156 | assert(ifs_ans); 157 | assert(ifs_res); 158 | 159 | // read file 160 | string str_buf; 161 | vector answer; 162 | vector result; 163 | 164 | while (getline(ifs_ans, str_buf)) { 165 | string ans = str_buf.substr(0, 12); 166 | answer.push_back(ans); 167 | } 168 | while (getline(ifs_res, str_buf)) { 169 | string res = str_buf.substr(0, 12); 170 | result.push_back(res); 171 | } 172 | 173 | // compute score 174 | assert(answer.size() == result.size()); 175 | double acc = 0; 176 | for (int i = 0; i < answer.size(); ++i) 177 | if (answer.at(i) == result.at(i)) 178 | acc += 1; 179 | return (acc / (double)answer.size()); 180 | } 181 | 182 | 183 | /*************************************/ 184 | /* I/O Functions */ 185 | /*************************************/ 186 | FILE* open_file(const char* filename, const char* ht) 187 | { 188 | FILE* fp = fopen(filename, ht); 189 | if ( fp == NULL ){ 190 | perror(filename); 191 | exit(1); 192 | } 193 | return fp; 194 | } 195 | 196 | 197 | vector> read_data(const string& data_path) 198 | { 199 | // opening file 200 | ifstream ifs(data_path.c_str()); 201 | assert(ifs); 202 | 203 | // read file 204 | string str_buf; 205 | vector> data; 206 | 207 | while (getline(ifs, str_buf)) { 208 | vector line; 209 | for (int i = 0; i < str_buf.size(); ++i) 210 | line.push_back(str_buf[i]); 211 | data.push_back(line); 212 | } 213 | ifs.close(); 214 | return data; 215 | } 216 | 217 | 218 | vector* load_models(const char* model_list, const int max_num) 219 | { 220 | FILE *fp = open_file(model_list, "r"); 221 | 222 | int count = 0; 223 | char model_name[MAX_LINE] = ""; 224 | vector* HMM_HEAD = new vector(); 225 | HMM* hmm; 226 | 227 | while (fscanf(fp, "%s", model_name) == 1) { 228 | hmm = new HMM(); 229 | hmm->load_HMM(model_name); 230 | HMM_HEAD->push_back(hmm); 231 | ++count; 232 | if (count >= max_num) 233 | return HMM_HEAD; 234 | } 235 | fclose(fp); 236 | return HMM_HEAD; 237 | } 238 | 239 | 240 | vector* initialize_new_models(const char* model_init, const char* model_list, const int max_num) 241 | { 242 | FILE *fp = open_file(model_list, "r"); 243 | 244 | int count = 0; 245 | char model_name[MAX_LINE] = ""; 246 | vector* HMM_HEAD = new vector(); 247 | HMM* hmm; 248 | 249 | while (fscanf(fp, "%s", model_name) == 1) { 250 | hmm = new HMM(); 251 | hmm->load_HMM(model_init); 252 | hmm->set_name(model_name); 253 | HMM_HEAD->push_back(hmm); 254 | ++count; 255 | if (count >= max_num) 256 | return HMM_HEAD; 257 | } 258 | fclose(fp); 259 | return HMM_HEAD; 260 | } 261 | 262 | 263 | void dump_models(vector* HMM_HEAD, bool to_file) 264 | { 265 | for(int i = 0; i < HMM_HEAD->size(); ++i ) { 266 | if (to_file) { 267 | HMM_HEAD->at(i)->dump_HMM(open_file(HMM_HEAD->at(i)->get_name().c_str(), "w"), false); 268 | } 269 | else 270 | HMM_HEAD->at(i)->dump_HMM(stderr, true); 271 | } 272 | } 273 | 274 | -------------------------------------------------------------------------------- /src/hmm.h: -------------------------------------------------------------------------------- 1 | /**************************************************************************** 2 | FileName [ hmm.h ] 3 | Synopsis [ Implementation of discrete hidden markov model ] 4 | Author [ Ting-Wei Liu (Andi611) ] 5 | Copyright [ Copyleft(c), NTUEE, NTU, Taiwan ] 6 | ****************************************************************************/ 7 | #ifndef HMM_HEADER_ 8 | #define HMM_HEADER_ 9 | #include 10 | #include 11 | #include 12 | #include 13 | #include 14 | #include 15 | #include 16 | #include 17 | #include 18 | #include 19 | #include 20 | using namespace std; 21 | 22 | 23 | /**************************************/ 24 | /* Macro Definition */ 25 | /**************************************/ 26 | #ifndef MAX_STATE 27 | #define MAX_STATE 10 28 | #endif 29 | #ifndef MAX_OBSERV 30 | #define MAX_OBSERV 6 31 | #endif 32 | #ifndef MAX_SEQ 33 | #define MAX_SEQ 200 34 | #endif 35 | #ifndef MAX_LINE 36 | #define MAX_LINE 256 37 | #endif 38 | #ifndef NUM_MODEL 39 | #define NUM_MODEL 5 40 | #endif 41 | /**************************************/ 42 | #ifndef N_S 43 | #define N_S _state_num 44 | #endif 45 | #ifndef N_O 46 | #define N_O _observ_num 47 | #endif 48 | #ifndef PI 49 | #define PI(i) _initial.at(i) // shape: (max state) 50 | #endif 51 | #ifndef A 52 | #define A(i, j) _transition.at(i).at(j) // shape: (max state, max state) 53 | #endif 54 | #ifndef B 55 | #define B(s, o) _observation.at(s).at(o) // shape: (max state, max observation) 56 | #endif 57 | #ifndef alpha 58 | #define alpha(t, s) alpha->at(t).at(s) // shape: (max sequence len T, num state) 59 | #endif 60 | #ifndef beta 61 | #define beta(t, s) beta->at(t).at(s) // shape: (max sequence len T, num state) 62 | #endif 63 | #ifndef gamma 64 | #define gamma(t, s) gamma->at(t).at(s) // shape: (max sequence len T, num state) 65 | #endif 66 | #ifndef epsilon 67 | #define epsilon(t, i, j) epsilon->at(t).at(i).at(j) // shape: (max sequence len T, num state) 68 | #endif 69 | #ifndef delta 70 | #define delta(t, s) delta->at(t).at(s) // shape: (max sequence len T, num state) 71 | #endif 72 | #ifndef o 73 | #define o(t) obs->at(t) - 'A' // char to index mapping: 'A' -> 0, 'B' -> 1, ... etc 74 | #endif 75 | #ifndef T 76 | #define T obs->size() // single observation sample length 77 | #endif 78 | 79 | 80 | /******************************************/ 81 | /* class Hidden Markov Model */ 82 | /******************************************/ 83 | class HMM 84 | { 85 | public: 86 | // Constructor 87 | HMM(bool max_allocate = false){ if (max_allocate) initialize_HMM(); _max_allocate = max_allocate; }; 88 | 89 | // model I/O 90 | void load_HMM(const char* filename); 91 | void dump_HMM(FILE *fp, bool display=false) const; 92 | 93 | // set attribute 94 | string get_name() const { return _model_name; } 95 | void set_name(const char* name) { string str(name); _model_name = str; } 96 | 97 | // training & testing 98 | void train_HMM(const int& iteration, vector>* data, bool print_log=true); 99 | double test_HMM(vector* obs) const; 100 | 101 | private: 102 | void initialize_HMM(); 103 | 104 | // compute functions 105 | vector>* compute_alpha(vector* obs) const; 106 | vector>* compute_beta(vector* obs) const; 107 | vector>* compute_gamma(vector>* alpha, vector>* beta) const; 108 | vector>>* compute_epsilon(vector* obs, vector>* alpha, vector>* beta) const; 109 | 110 | 111 | // update functions 112 | void accumulate_update(vector* obs, 113 | vector>* gamma, 114 | vector>>* epsilon, 115 | vector* pi_accumulate, 116 | vector* gamma_accumulate, 117 | vector>* epsilon_accumulate, 118 | vector>* B_num_accumulate, 119 | vector* B_den_accumulate) const; 120 | void apply_update(vector* pi_accumulate, 121 | vector* gamma_accumulate, 122 | vector>* epsilon_accumulate, 123 | vector>* B_num_accumulate, 124 | vector* B_den_accumulate, 125 | double num_sample); 126 | 127 | // class members 128 | bool _max_allocate; // allocate maximum memory 129 | string _model_name; // model name 130 | int _state_num; // number of state 131 | int _observ_num; // number of observation 132 | vector _initial; // initial prob, shape: (max state) 133 | vector> _transition; // transition prob, shape: (max state, max state) 134 | vector> _observation; // observation prob, shape: (max state, max observation) 135 | }; 136 | 137 | /***************************************/ 138 | /* Testing Functions */ 139 | /***************************************/ 140 | double test(vector* HMM_HEAD, vector>* data, const string& output_path, bool print_log=true); 141 | double compute_acc(const string& answer_path, const string& result_path); 142 | 143 | 144 | /*************************************/ 145 | /* I/O Functions */ 146 | /*************************************/ 147 | FILE* open_file(const char* filename, const char* ht); 148 | vector> read_data(const string& data_path); 149 | vector* load_models(const char* model_list, const int max_num); 150 | vector* initialize_new_models(const char* model_init, const char* model_list, const int max_num); 151 | void dump_models(vector* HMM_HEAD, bool to_file=true); 152 | 153 | 154 | #endif -------------------------------------------------------------------------------- /src/model_01.txt: -------------------------------------------------------------------------------- 1 | initial: 6 2 | 1.00000 0.00000 0.00000 0.00000 0.00000 0.00000 3 | 4 | transition: 6 5 | 0.59854 0.15078 0.02212 0.00991 0.21866 0.00000 6 | 0.00000 0.60003 0.20521 0.15608 0.03868 0.00000 7 | 0.00000 0.00000 0.21987 0.66384 0.10833 0.00796 8 | 0.00000 0.00000 0.14906 0.29142 0.01176 0.54776 9 | 0.00000 0.05396 0.44721 0.00053 0.20968 0.28862 10 | 0.00000 0.49920 0.00000 0.00000 0.00000 0.50080 11 | 12 | observation: 6 13 | 0.43986 0.35294 0.18781 0.01939 0.00000 0.00000 14 | 0.09909 0.10073 0.80018 0.00000 0.00000 0.00000 15 | 0.00004 0.00000 0.48918 0.50668 0.00411 0.00000 16 | 0.09823 0.09396 0.30043 0.39900 0.10839 0.00000 17 | 0.12733 0.16451 0.26441 0.38570 0.05806 0.00000 18 | 0.00000 0.00000 0.00000 0.00000 0.00000 1.00000 19 | -------------------------------------------------------------------------------- /src/model_02.txt: -------------------------------------------------------------------------------- 1 | initial: 6 2 | 0.50746 0.49254 0.00000 0.00000 0.00000 0.00000 3 | 4 | transition: 6 5 | 0.29185 0.50867 0.00603 0.19340 0.00000 0.00005 6 | 0.00001 0.50240 0.19903 0.00000 0.00000 0.29855 7 | 0.00423 0.00001 0.20061 0.78859 0.00000 0.00657 8 | 0.00007 0.00028 0.00459 0.28320 0.51205 0.19980 9 | 0.00000 0.00000 0.00000 0.00000 0.50078 0.49922 10 | 0.59826 0.00000 0.20640 0.19534 0.00000 0.00000 11 | 12 | observation: 6 13 | 0.00032 0.09990 0.40434 0.49543 0.00000 0.00000 14 | 0.29970 0.39651 0.20000 0.10379 0.00000 0.00000 15 | 0.00091 0.00000 0.49083 0.50702 0.00125 0.00000 16 | 0.10008 0.10139 0.29598 0.40259 0.09996 0.00000 17 | 0.29879 0.00000 0.30228 0.00000 0.00000 0.39893 18 | 0.09843 0.10060 0.00000 0.00000 0.80097 0.00000 19 | -------------------------------------------------------------------------------- /src/model_03.txt: -------------------------------------------------------------------------------- 1 | initial: 6 2 | 0.71941 0.00045 0.09188 0.18826 0.00000 0.00000 3 | 4 | transition: 6 5 | 0.30901 0.00022 0.49428 0.00000 0.19649 0.00000 6 | 0.00110 0.19964 0.79922 0.00001 0.00000 0.00003 7 | 0.00001 0.49866 0.20227 0.29906 0.00000 0.00000 8 | 0.00000 0.20158 0.00034 0.59783 0.20025 0.00000 9 | 0.00000 0.39350 0.00000 0.00000 0.30633 0.30017 10 | 0.10497 0.00000 0.00000 0.00000 0.39884 0.49619 11 | 12 | observation: 6 13 | 0.99555 0.00247 0.00197 0.00000 0.00000 0.00000 14 | 0.49890 0.00000 0.00146 0.49955 0.00009 0.00000 15 | 0.29759 0.39938 0.20129 0.10171 0.00003 0.00000 16 | 0.09845 0.09968 0.80187 0.00000 0.00000 0.00000 17 | 0.09881 0.09745 0.30870 0.39608 0.09897 0.00000 18 | 0.00001 0.10425 0.09044 0.00252 0.00187 0.80091 19 | -------------------------------------------------------------------------------- /src/model_04.txt: -------------------------------------------------------------------------------- 1 | initial: 6 2 | 0.71804 0.00000 0.00257 0.09175 0.18764 0.00000 3 | 4 | transition: 6 5 | 0.29721 0.19043 0.00640 0.50587 0.00008 0.00000 6 | 0.00000 0.30161 0.39429 0.00000 0.00000 0.30410 7 | 0.19904 0.00045 0.20071 0.59980 0.00000 0.00000 8 | 0.00010 0.00001 0.49742 0.20241 0.30007 0.00000 9 | 0.00000 0.20025 0.20144 0.00123 0.59708 0.00000 10 | 0.10721 0.39292 0.00000 0.00000 0.00000 0.49987 11 | 12 | observation: 6 13 | 0.69550 0.00156 0.30294 0.00000 0.00000 0.00000 14 | 0.09820 0.09721 0.30147 0.40420 0.09892 0.00000 15 | 0.49900 0.00021 0.00047 0.50032 0.00000 0.00000 16 | 0.30259 0.39823 0.20043 0.09874 0.00001 0.00000 17 | 0.10016 0.09919 0.19644 0.00000 0.60421 0.00000 18 | 0.00000 0.10301 0.09781 0.00027 0.00281 0.79611 19 | -------------------------------------------------------------------------------- /src/model_05.txt: -------------------------------------------------------------------------------- 1 | initial: 6 2 | 0.00001 0.10229 0.09723 0.21039 0.59006 0.00000 3 | 4 | transition: 6 5 | 0.20247 0.20045 0.59677 0.00000 0.00000 0.00030 6 | 0.00356 0.28765 0.51844 0.00000 0.19035 0.00001 7 | 0.49601 0.00526 0.19787 0.30086 0.00000 0.00000 8 | 0.20082 0.00000 0.00039 0.59914 0.19965 0.00000 9 | 0.39815 0.00000 0.00000 0.00000 0.29953 0.30232 10 | 0.00000 0.10139 0.00000 0.00000 0.39650 0.50211 11 | 12 | observation: 6 13 | 0.49553 0.00175 0.00000 0.50272 0.00000 0.00000 14 | 0.70161 0.00007 0.29832 0.00000 0.00000 0.00000 15 | 0.30312 0.39808 0.20051 0.09825 0.00004 0.00000 16 | 0.10055 0.09970 0.19649 0.00000 0.60326 0.00000 17 | 0.09927 0.09596 0.30172 0.40211 0.10095 0.00000 18 | 0.00000 0.10325 0.09823 0.00261 0.00205 0.79386 19 | -------------------------------------------------------------------------------- /src/modellist.txt: -------------------------------------------------------------------------------- 1 | model_01.txt 2 | model_02.txt 3 | model_03.txt 4 | model_04.txt 5 | model_05.txt 6 | -------------------------------------------------------------------------------- /src/plot.py: -------------------------------------------------------------------------------- 1 | # -*- coding: utf-8 -*- # 2 | """*********************************************************************************************""" 3 | # FileName [ plot.py ] 4 | # Synopsis [ Implement of two basic algorithms to perform frequent pattern mining: 1. Apriori, 2. Eclat. 5 | # Find all itemsets with support > min_support. ] 6 | # Author [ Ting-Wei Liu (Andi611) ] 7 | # Copyright [ Copyleft(c), NTUEE, NTU, Taiwan ] 8 | """*********************************************************************************************""" 9 | 10 | 11 | ############### 12 | # IMPORTATION # 13 | ############### 14 | import os 15 | import csv 16 | import argparse 17 | import numpy as np 18 | import matplotlib.pyplot as plt 19 | 20 | 21 | ################## 22 | # CONFIGURATIONS # 23 | ################## 24 | def get_config(): 25 | parser = argparse.ArgumentParser(description='plot argument parser') 26 | parser.add_argument('--input_path', type=str, default='../data/training_log.txt', help='input data path') 27 | parser.add_argument('--output_path', type=str, default='../data/acc.png', help='output data path') 28 | args = parser.parse_args() 29 | return args 30 | 31 | 32 | ############# 33 | # READ DATA # 34 | ############# 35 | def read_data(data_path, skip_header=False): 36 | x_data = [] 37 | y_data = [] 38 | if not os.path.isfile(data_path): raise ValueError('Invalid data path.') 39 | with open(data_path, 'r', encoding='utf-8') as f: 40 | file = csv.reader(f, delimiter=' ', quotechar='\r') 41 | if skip_header: next(file, None) # skip the headers 42 | for row in file: 43 | x_data.append(int(row[1])) 44 | y_data.append(float(row[0])) 45 | return x_data, y_data 46 | 47 | 48 | ######## 49 | # MAIN # 50 | ######## 51 | """ 52 | main function that runs the two algorithms 53 | """ 54 | def main(): 55 | args = get_config() 56 | x_data, y_data = read_data(args.input_path) 57 | 58 | fig = plt.figure(figsize=(20,7)) 59 | plt.plot(x_data, y_data, 'o') 60 | plt.ylabel('Accuracy') 61 | plt.xlabel('Iteration') 62 | plt.title('Accuracy vs. Iteration') 63 | plt.grid() 64 | plt.tight_layout() 65 | plt.savefig(args.output_path) 66 | plt.close(fig) 67 | 68 | if __name__ == '__main__': 69 | main() 70 | 71 | -------------------------------------------------------------------------------- /src/test: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/andi611/Hidden-Markov-Model-Digital-Signal-Processing/a67c0c3b913b39c1b1857edbd6c54729c1142256/src/test -------------------------------------------------------------------------------- /src/test_hmm.cpp: -------------------------------------------------------------------------------- 1 | /**************************************************************************** 2 | FileName [ test_hmm.cpp ] 3 | Synopsis [ Implementation of the testing of a discrete hidden markov model ] 4 | Author [ Ting-Wei Liu (Andi611) ] 5 | Copyright [ Copyleft(c), NTUEE, NTU, Taiwan ] 6 | ****************************************************************************/ 7 | #include "hmm.h" 8 | 9 | 10 | /***********************************/ 11 | /* Main Function */ 12 | /***********************************/ 13 | int main(int argc, char** argv) 14 | { 15 | // Usage: ./test modellist.txt ../data/testing_data1.txt ../data/testing_result1.txt 16 | if (argc != 4) { 17 | cout << "[HMM Test Usage]:" << endl; 18 | cout << " - Test with all models: /train modellist.txt ../data/testing_data1.txt ../data/testing_result1.txt" << endl; 19 | exit(-1); 20 | } 21 | 22 | char* model_list = argv[1]; 23 | string data_path = argv[2]; 24 | string output_path = argv[3]; 25 | cout << "Testing with all models in: " << model_list << endl; 26 | 27 | // read testing data 28 | vector> test_data = read_data(data_path); 29 | 30 | // load models 31 | vector* HMM_HEAD = load_models(model_list, NUM_MODEL); 32 | assert(HMM_HEAD->size() == NUM_MODEL); 33 | 34 | // test with models 35 | double acc = test(HMM_HEAD, &test_data, output_path); 36 | 37 | for (int i = 0; i < HMM_HEAD->size(); ++i) 38 | delete HMM_HEAD->at(i); 39 | return 0; 40 | } 41 | 42 | -------------------------------------------------------------------------------- /src/train: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/andi611/Hidden-Markov-Model-Digital-Signal-Processing/a67c0c3b913b39c1b1857edbd6c54729c1142256/src/train -------------------------------------------------------------------------------- /src/train_hmm.cpp: -------------------------------------------------------------------------------- 1 | /**************************************************************************** 2 | FileName [ train_hmm.cpp ] 3 | Synopsis [ Implementation of the training of a discrete hidden markov model ] 4 | Author [ Ting-Wei Liu (Andi611) ] 5 | Copyright [ Copyleft(c), NTUEE, NTU, Taiwan ] 6 | ****************************************************************************/ 7 | #include "hmm.h" 8 | 9 | 10 | /*****************************************/ 11 | /* Forward Declaration */ 12 | /*****************************************/ 13 | void train(HMM* hmm, int iteration, string model_data_path); 14 | void train_with_iteration_test(vector* HMM_HEAD, int iteration, string data_path); 15 | 16 | 17 | /***********************************/ 18 | /* Main Function */ 19 | /***********************************/ 20 | int main(int argc, char** argv) 21 | { 22 | int iteration = atoi(argv[1]); 23 | 24 | // Usage: ./train 100 ../data/model_init.txt ../data/seq_model_01.txt model_01.txt 25 | if (argc == 5) { 26 | 27 | char* model_init = argv[2]; 28 | char* model_name = argv[4]; 29 | string data_path = argv[3]; 30 | 31 | HMM* hmm = new HMM(); 32 | hmm->load_HMM(model_init); 33 | hmm->set_name(model_name); 34 | train(hmm, iteration, data_path); 35 | delete hmm; 36 | } 37 | 38 | // Usage: ./train 100 ../data/model_init.txt ../data/ modellist.txt all 39 | else if (argc == 6) { 40 | 41 | string all = argv[5]; 42 | assert(all == "all"); 43 | char* model_init = argv[2]; 44 | char* model_list = argv[4]; 45 | string data_path = argv[3]; 46 | cout << "Training all models in: " << model_list << endl; 47 | 48 | vector* HMM_HEAD = initialize_new_models(model_init, model_list, NUM_MODEL); 49 | HMM* hmm; 50 | 51 | for (int m = 0; m < HMM_HEAD->size(); ++m) { 52 | hmm = HMM_HEAD->at(m); 53 | string model_data_path = data_path + "seq_" + hmm->get_name(); 54 | train(hmm, iteration, model_data_path); 55 | } 56 | 57 | vector> test_data = read_data("../data/testing_data1.txt"); 58 | double acc = test(HMM_HEAD, &test_data, "../data/testing_result1.txt"); 59 | 60 | for (int i = 0; i < HMM_HEAD->size(); ++i) 61 | delete HMM_HEAD->at(i); 62 | } 63 | 64 | // Usage: ./train 3000 ../data/model_init.txt ../data/ modellist.txt all test 65 | else if (argc == 7) { 66 | 67 | string all = argv[5]; 68 | string test = argv[6]; 69 | assert(all == "all"); 70 | assert(test == "test"); 71 | char* model_init = argv[2]; 72 | char* model_list = argv[4]; 73 | string data_path = argv[3]; 74 | cout << "Training all models with iteration-wise test in: " << model_list << endl; 75 | 76 | vector* HMM_HEAD = initialize_new_models(model_init, model_list, NUM_MODEL); 77 | train_with_iteration_test(HMM_HEAD, iteration, data_path); 78 | 79 | for (int i = 0; i < HMM_HEAD->size(); ++i) 80 | delete HMM_HEAD->at(i); 81 | } 82 | 83 | else { 84 | cout << "[HMM Train Usage]:" << endl; 85 | cout << " - Train single model: /train iteration ../data/model_init.txt ../data/seq_model_xx.txt model_xx.txt" << endl; 86 | cout << " - Train all models: /train iteration ../data/model_init.txt ../data/ modellist.txt all" << endl; 87 | cout << " - Train all models with test score: /train iteration ../data/model_init.txt ../data/ modellist.txt all test" << endl; 88 | cout << " - See Readme.md for more details." << endl; 89 | exit(-1); 90 | } 91 | return 0; 92 | } 93 | 94 | 95 | /****************************************/ 96 | /* Training Functions */ 97 | /****************************************/ 98 | void train(HMM* hmm, int iteration, string model_data_path) 99 | { 100 | cout << endl << "===============================================" << endl; 101 | cout << "Training new model: " << hmm->get_name() << endl; 102 | vector> data = read_data(model_data_path); 103 | hmm->train_HMM(iteration, &data); 104 | hmm->dump_HMM(stderr, true); 105 | hmm->dump_HMM(open_file(hmm->get_name().c_str(), "w"), false); 106 | } 107 | 108 | 109 | void train_with_iteration_test(vector* HMM_HEAD, int iteration, string data_path) 110 | { 111 | cout << endl << "===============================================" << endl; 112 | 113 | // initialize variables 114 | HMM* hmm; 115 | double acc; 116 | double max_acc = 0; 117 | int max_iteration = 0; 118 | 119 | // initialize files 120 | ofstream acc_file; 121 | acc_file.open("../data/training_log.txt"); 122 | 123 | // read all data 124 | vector>> datas; 125 | for (int m = 0; m < HMM_HEAD->size(); ++m) { 126 | hmm = HMM_HEAD->at(m); 127 | string model_data_path = data_path + "seq_" + hmm->get_name(); 128 | datas.push_back(read_data(model_data_path)); 129 | } 130 | vector> test_data = read_data("../data/testing_data1.txt"); 131 | 132 | // train with iteration-wise test 133 | for (int iter = 0; iter < iteration; iter++) { 134 | 135 | // train all models 1 iteration 136 | for (int m = 0; m < HMM_HEAD->size(); ++m) { 137 | cout << "\r" << "Computing model: " << m << '/' << HMM_HEAD->size() << "..." << flush; 138 | hmm = HMM_HEAD->at(m); 139 | hmm->train_HMM(1, &datas.at(m), false); 140 | } 141 | 142 | // test with all models 143 | acc = test(HMM_HEAD, &test_data, "../data/testing_result1.txt", false); 144 | acc_file << acc << ' ' << iter+1 << '\n'; 145 | cout << "\r" << "[HMM training] Iteration: " << iter + 1 << '/' << iteration << ", Accuracy: " << acc; 146 | 147 | // save best 148 | if (max_acc < acc) { 149 | max_acc = acc; 150 | max_iteration = iter + 1; 151 | dump_models(HMM_HEAD); 152 | cout << " - Saved." << endl; 153 | } 154 | else cout << endl; 155 | } 156 | acc_file.close(); 157 | cout << "\r" << "[HMM training] Iteration: " << iteration << '/' << iteration << ", Accuracy: " << acc << "... Complete." << endl; 158 | cout << "[HMM training] Max Accuracy " << max_acc << " achieved at Iteration: " << max_iteration << endl; 159 | } 160 | 161 | 162 | void HMM::train_HMM(const int& iteration, vector>* data, bool print_log) 163 | { 164 | vector* obs; 165 | 166 | for (int iter = 0; iter < iteration; iter++) { 167 | if (print_log) cout << "\r" << "HMM training: " << iter+1 << '/' << iteration << "... " << flush; 168 | 169 | // accumulaters 170 | vector* pi_accumulate = new vector(N_S, 0.0); 171 | vector* gamma_accumulate = new vector(N_S, 0.0); 172 | vector>* epsilon_accumulate = new vector>(N_S, vector(N_S, 0.0)); 173 | vector>* B_num_accumulate = new vector>(N_S, vector(N_O, 0.0)); 174 | vector* B_den_accumulate = new vector(N_S, 0.0); 175 | 176 | // iterate through all observation sequence in training data 177 | for (int s = 0; s < data->size(); ++s) { 178 | obs = &data->at(s); 179 | 180 | // computations 181 | vector>* alpha = compute_alpha(obs); 182 | vector>* beta = compute_beta(obs); 183 | vector>* gamma = compute_gamma(alpha, beta); 184 | vector>>* epsilon = compute_epsilon(obs, alpha, beta); 185 | 186 | // update 187 | accumulate_update(obs, gamma, epsilon, pi_accumulate, gamma_accumulate, epsilon_accumulate, B_num_accumulate, B_den_accumulate); 188 | delete alpha; delete beta; delete gamma; delete epsilon; 189 | } 190 | apply_update(pi_accumulate, gamma_accumulate, epsilon_accumulate, B_num_accumulate, B_den_accumulate, (double)data->size()); 191 | delete pi_accumulate; delete gamma_accumulate; delete epsilon_accumulate; delete B_num_accumulate; delete B_den_accumulate; 192 | } 193 | if (print_log) cout << "\r" << "HMM training: " << iteration << '/' << iteration << "... " << " Complete." << endl; 194 | } 195 | 196 | 197 | vector>* HMM::compute_alpha(vector* obs) const 198 | { 199 | vector>* alpha = new vector>(T, vector(N_S, 0.0)); 200 | for (int i = 0; i < N_S; ++i) 201 | alpha(0, i) = PI(i) * B(i, o(0)); 202 | for (int t = 0; t < T-1; ++t) 203 | for (int i = 0; i < N_S; ++i) { 204 | for (int j = 0; j < N_S; ++j) 205 | alpha(t+1, i) += alpha(t, j) * A(j, i); 206 | alpha(t+1, i) *= B(i, o(t+1)); 207 | } 208 | return alpha; 209 | } 210 | 211 | 212 | vector>* HMM::compute_beta(vector* obs) const 213 | { 214 | vector>* beta = new vector>(T, vector(N_S, 0.0)); 215 | for (int i = 0; i < N_S; ++i) 216 | beta(T-1, i) = 1.0; 217 | for (int t = T-2; t >= 0; --t) 218 | for (int i = 0; i < N_S; ++i) 219 | for (int j = 0; j < N_S; ++j) 220 | beta(t, i) += A(i, j) * B(j, o(t+1)) * beta(t+1, j); 221 | return beta; 222 | } 223 | 224 | 225 | vector>* HMM::compute_gamma(vector>* alpha, vector>* beta) const 226 | { 227 | vector>* gamma = new vector>(alpha->size(), vector(N_S, 0.0)); 228 | for (int t = 0; t < alpha->size(); ++t) { 229 | double gamma_base = 0.0; 230 | for (int i = 0; i < N_S; ++i) { 231 | gamma(t, i) = (alpha(t, i) * beta(t, i)); 232 | gamma_base += gamma(t, i); 233 | } 234 | for (int i = 0; i < N_S; ++i) 235 | gamma(t, i) /= gamma_base; 236 | } 237 | return gamma; 238 | } 239 | 240 | 241 | vector>>* HMM::compute_epsilon(vector* obs, vector>* alpha, vector>* beta) const 242 | { 243 | vector>>* epsilon = new vector>>(T-1, vector>(N_S, vector(N_S, 0.0))); 244 | for (int t = 0; t < T-1; ++t) { 245 | double epsilon_base = 0.0; 246 | for (int i = 0; i < N_S; ++i) 247 | for (int j = 0; j < N_S; ++j) { 248 | epsilon(t, i, j) = alpha(t, i) * A(i, j) * B(j, o(t+1)) * beta(t+1, j); 249 | epsilon_base += epsilon(t, i, j); 250 | } 251 | for (int i = 0; i < N_S; ++i) 252 | for (int j = 0; j < N_S; ++j) 253 | epsilon(t, i, j) /= epsilon_base; 254 | } 255 | return epsilon; 256 | } 257 | 258 | 259 | void HMM::accumulate_update(vector* obs, 260 | vector>* gamma, 261 | vector>>* epsilon, 262 | vector* pi_accumulate, 263 | vector* gamma_accumulate, 264 | vector>* epsilon_accumulate, 265 | vector>* B_num_accumulate, 266 | vector* B_den_accumulate) const 267 | { 268 | for (int i = 0; i < N_S; ++i) { 269 | pi_accumulate->at(i) += gamma(0, i); 270 | for (int t = 0; t < T-1; ++t) { 271 | gamma_accumulate->at(i) += gamma(t, i); 272 | for (int j = 0; j < N_S; ++j) 273 | epsilon_accumulate->at(i).at(j) += epsilon(t, i, j); 274 | } 275 | } 276 | for (int i = 0; i < N_S; ++i) 277 | for (int t = 0; t < T; ++t) { 278 | B_num_accumulate->at(i).at(o(t)) += gamma(t, i); 279 | B_den_accumulate->at(i) += gamma(t, i); 280 | } 281 | } 282 | 283 | 284 | void HMM::apply_update(vector* pi_accumulate, 285 | vector* gamma_accumulate, 286 | vector>* epsilon_accumulate, 287 | vector>* B_num_accumulate, 288 | vector* B_den_accumulate, 289 | double num_sample) 290 | { 291 | // update pi 292 | for (int i = 0; i < N_S; i++) 293 | PI(i) = pi_accumulate->at(i) / num_sample; 294 | // update _transition 295 | for (int i = 0; i < N_S; ++i) 296 | for (int j = 0; j < N_S; ++j) 297 | A(i, j) = epsilon_accumulate->at(i).at(j) / gamma_accumulate->at(i); 298 | // update _observation 299 | for (int i = 0; i < N_S; ++i) 300 | for (int t = 0; t < N_O; ++t) 301 | B(i, t) = B_num_accumulate->at(i).at(t) / B_den_accumulate->at(i); 302 | } 303 | 304 | --------------------------------------------------------------------------------