diff --git a/LICENSE.md b/LICENSE.md new file mode 100644 index 0000000..413dcd5 --- /dev/null +++ b/LICENSE.md @@ -0,0 +1,9 @@ +MIT License + +Copyright (c) 2024 Cleiton Moya de Almeida + +Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. \ No newline at end of file diff --git a/README.md b/README.md new file mode 100644 index 0000000..75d047d --- /dev/null +++ b/README.md @@ -0,0 +1,22 @@ +#Artigo SBRC 2024 + +## Descrição +Este repositório contém o código-fonte e a base de dados utilizados no artigo **Inferindo pontos de mudança em séries temporais com dados +não rotulados: um breve estudo usando dados do NDT**, submetido ao [42º Simpósio Brasileiro de Redes de Computadores e Sistemas Distribuídos (SBRC)](https://sbrc.sbc.org.br/2024/). + +## Instruções +- A implementação dos métodos de detecção de *change-point* encontra-se no módulo [changepoint.py](experiment/changepoint.py) +- Para reproduzir o experimento, clone o respositório e execute o *script* [experiment.py](experiment/experiment.py) + - O experimento gera o *data-frame* `df_results.pkl`. +- Os gráficos são gerados com os *scripts* da pasta [paper_figures](paper_figures/) + +## Requisitos +Os algoritmos foram implementados e testados em **Python 3.9** com os seguintes pacotes: +- Numpy 1.23.5 +- Scipy 1.11.4 +- Pandas 1.5.2 +- Statsmodels 0.14.1 +- Matplotlib 3.8.2 +- Seaborn 0.13.1 + + diff --git a/dataset/dca6326b9aa1_gig02_d_rttmean.txt b/dataset/dca6326b9aa1_gig02_d_rttmean.txt new file mode 100644 index 0000000..91530ab --- /dev/null +++ b/dataset/dca6326b9aa1_gig02_d_rttmean.txt @@ -0,0 +1,789 @@ +2023-06-05 06:35:28,238.575 +2023-06-05 07:25:43,234.867 +2023-06-05 08:29:47,238.690 +2023-06-06 05:22:39,244.421 +2023-06-06 06:57:27,242.725 +2023-06-06 18:37:51,240.976 +2023-06-07 12:10:37,242.588 +2023-06-07 23:36:24,228.184 +2023-06-08 01:36:15,246.777 +2023-06-08 02:19:40,234.851 +2023-06-08 04:34:05,244.657 +2023-06-08 09:31:13,229.775 +2023-06-08 10:19:00,241.174 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b/dataset/dca6326b9aa1_rnp_rj_d_throughput.txt new file mode 100644 index 0000000..6d896fd --- /dev/null +++ b/dataset/dca6326b9aa1_rnp_rj_d_throughput.txt @@ -0,0 +1,903 @@ +2023-06-05 01:42:25,334.323 +2023-06-05 02:45:15,332.653 +2023-06-05 07:31:32,328.145 +2023-06-05 17:22:53,338.784 +2023-06-05 22:54:17,334.941 +2023-06-05 23:13:42,326.633 +2023-06-06 03:09:48,308.580 +2023-06-06 07:38:43,322.335 +2023-06-06 09:38:20,311.556 +2023-06-06 09:58:27,325.665 +2023-06-06 11:08:59,351.260 +2023-06-06 12:16:58,314.566 +2023-06-06 13:51:58,333.741 +2023-06-06 18:28:11,326.763 +2023-06-06 21:00:25,320.579 +2023-06-06 22:42:58,270.593 +2023-06-07 10:37:27,326.968 +2023-06-07 12:04:55,326.450 +2023-06-07 18:43:15,277.076 +2023-06-07 19:08:51,339.586 +2023-06-07 21:08:06,300.810 +2023-06-07 22:24:00,295.205 +2023-06-07 22:56:11,318.273 +2023-06-08 00:11:21,327.967 +2023-06-08 00:40:34,322.918 +2023-06-08 10:43:35,296.925 +2023-06-09 01:57:48,320.719 +2023-06-09 03:58:50,333.772 +2023-06-09 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b/dataset/dca6326b9c99_gig04_d_throughput.txt new file mode 100644 index 0000000..20481f3 --- /dev/null +++ b/dataset/dca6326b9c99_gig04_d_throughput.txt @@ -0,0 +1,868 @@ +2023-06-05 20:11:34,557.790 +2023-06-08 21:03:15,556.352 +2023-06-10 13:55:01,553.953 +2023-06-10 14:39:33,556.656 +2023-06-10 14:59:55,556.684 +2023-06-10 18:25:29,567.078 +2023-06-10 19:36:32,545.630 +2023-06-11 11:29:43,569.574 +2023-06-11 15:41:15,559.920 +2023-06-12 14:18:50,549.569 +2023-06-14 19:52:48,558.045 +2023-06-17 01:32:28,554.458 +2023-06-17 01:33:58,558.551 +2023-06-17 02:02:06,554.061 +2023-06-17 14:31:27,556.988 +2023-06-17 15:10:53,556.942 +2023-06-17 21:14:27,559.333 +2023-06-18 12:28:28,559.722 +2023-06-18 14:28:08,555.256 +2023-06-18 18:37:21,549.667 +2023-06-18 22:37:23,558.358 +2023-06-18 23:11:32,558.482 +2023-06-19 00:12:14,570.089 +2023-06-19 01:52:00,557.851 +2023-06-19 03:33:34,558.595 +2023-06-19 08:46:27,553.412 +2023-06-19 10:05:43,560.146 +2023-06-19 15:50:40,550.783 +2023-06-19 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09:44:33,613.026 diff --git a/dataset/dca6326b9c99_gru02_d_rttmean.txt b/dataset/dca6326b9c99_gru02_d_rttmean.txt new file mode 100644 index 0000000..e64fede --- /dev/null +++ b/dataset/dca6326b9c99_gru02_d_rttmean.txt @@ -0,0 +1,342 @@ +2023-06-05 17:54:32,8.977 +2023-06-05 20:08:35,8.868 +2023-06-06 16:25:24,8.689 +2023-06-06 16:38:36,8.749 +2023-06-12 18:19:15,8.933 +2023-06-18 02:35:35,8.730 +2023-06-21 00:32:14,9.185 +2023-06-23 02:01:20,9.118 +2023-06-26 02:09:52,9.220 +2023-07-04 16:19:06,9.028 +2023-07-06 14:04:24,8.982 +2023-07-06 20:28:20,9.124 +2023-07-09 21:28:13,9.176 +2023-07-11 09:13:03,8.898 +2023-07-11 14:55:09,8.957 +2023-07-13 00:50:33,8.877 +2023-07-16 05:47:10,8.752 +2023-07-16 12:15:08,8.817 +2023-07-20 16:39:16,8.909 +2023-08-01 10:37:14,8.849 +2023-08-02 15:59:12,8.925 +2023-08-08 09:15:28,8.790 +2023-08-08 19:13:30,8.886 +2023-08-10 14:09:06,8.929 +2023-08-13 00:12:20,8.903 +2023-08-14 01:55:24,9.327 +2023-08-18 00:10:24,8.850 +2023-08-21 13:02:26,8.931 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b/dataset/dca6326b9c99_gru05_d_rttmean.txt new file mode 100644 index 0000000..836991c --- /dev/null +++ b/dataset/dca6326b9c99_gru05_d_rttmean.txt @@ -0,0 +1,333 @@ +2023-06-05 19:55:57,8.819 +2023-06-05 23:33:58,8.741 +2023-06-06 17:44:56,8.708 +2023-06-17 16:51:47,8.743 +2023-06-17 22:41:52,8.789 +2023-07-03 18:24:28,8.973 +2023-07-07 21:19:04,8.842 +2023-07-09 05:22:14,8.905 +2023-07-09 06:21:05,9.027 +2023-07-11 21:13:14,8.976 +2023-07-14 12:14:05,9.367 +2023-07-14 13:59:06,8.699 +2023-07-14 20:22:03,8.977 +2023-07-16 23:04:28,9.626 +2023-07-17 01:56:15,8.558 +2023-07-17 07:18:19,9.456 +2023-07-17 11:37:15,9.247 +2023-07-18 04:00:27,8.769 +2023-07-21 01:48:22,9.190 +2023-07-21 07:59:04,9.897 +2023-07-21 13:15:03,9.220 +2023-07-21 22:51:21,8.871 +2023-07-21 23:03:32,8.876 +2023-07-22 01:49:06,8.963 +2023-08-02 15:22:14,8.858 +2023-08-02 23:18:21,8.909 +2023-08-03 09:32:04,9.373 +2023-08-05 07:43:15,9.119 +2023-08-05 14:23:20,8.920 +2023-08-07 14:05:25,8.709 +2023-08-08 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b/dataset/dca6326b9c99_rnp_sp_d_rttmean.txt new file mode 100644 index 0000000..df1053a --- /dev/null +++ b/dataset/dca6326b9c99_rnp_sp_d_rttmean.txt @@ -0,0 +1,1008 @@ +2023-06-05 22:14:20,9.222 +2023-06-05 23:12:25,9.713 +2023-06-06 16:41:03,9.141 +2023-06-06 17:03:21,9.274 +2023-06-07 19:08:59,9.187 +2023-06-10 19:12:38,9.107 +2023-06-11 11:38:15,9.343 +2023-06-11 16:45:26,9.119 +2023-06-13 15:52:34,9.300 +2023-06-14 18:15:34,9.136 +2023-06-14 18:40:59,9.298 +2023-06-15 19:53:12,9.370 +2023-06-15 21:21:06,9.244 +2023-06-16 16:05:26,8.927 +2023-06-16 18:29:21,9.171 +2023-06-16 18:33:08,9.340 +2023-06-16 22:02:02,9.195 +2023-06-16 22:27:06,9.373 +2023-06-17 09:50:29,9.372 +2023-06-17 14:07:16,9.293 +2023-06-17 16:31:03,9.397 +2023-06-17 17:42:38,9.308 +2023-06-17 18:40:16,9.236 +2023-06-17 18:50:22,9.243 +2023-06-17 23:12:46,9.436 +2023-06-18 00:50:32,9.404 +2023-06-18 00:54:16,9.277 +2023-06-18 02:00:39,9.364 +2023-06-18 02:45:17,9.372 +2023-06-18 03:51:31,9.289 +2023-06-18 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a/dataset/dca6326b9ca8_gig02_d_throughput.txt b/dataset/dca6326b9ca8_gig02_d_throughput.txt new file mode 100644 index 0000000..bd9dac3 --- /dev/null +++ b/dataset/dca6326b9ca8_gig02_d_throughput.txt @@ -0,0 +1,900 @@ +2023-06-09 00:00:20,82.079 +2023-06-10 22:27:16,79.238 +2023-06-11 09:30:17,81.183 +2023-06-11 11:59:07,85.332 +2023-06-11 12:41:42,78.437 +2023-06-13 02:05:38,80.402 +2023-06-13 04:48:56,81.674 +2023-06-14 05:57:45,86.469 +2023-06-15 05:30:48,83.204 +2023-06-15 14:35:15,80.055 +2023-06-15 17:09:32,80.957 +2023-06-15 17:20:10,81.060 +2023-06-15 17:47:25,84.541 +2023-06-15 18:53:04,85.055 +2023-06-15 22:38:49,82.466 +2023-06-16 11:57:00,81.731 +2023-06-18 08:18:44,81.213 +2023-06-18 11:01:43,81.147 +2023-06-18 11:52:16,81.470 +2023-06-19 09:59:09,81.463 +2023-06-19 10:38:57,82.241 +2023-06-20 11:35:43,83.389 +2023-06-20 18:23:17,88.141 +2023-06-20 21:50:30,89.362 +2023-06-21 00:33:11,85.202 +2023-06-21 09:06:26,84.495 +2023-06-21 10:06:23,80.843 +2023-06-21 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b/dataset/dca6326b9ca8_gru05_u_throughput.txt new file mode 100644 index 0000000..6fc57d7 --- /dev/null +++ b/dataset/dca6326b9ca8_gru05_u_throughput.txt @@ -0,0 +1,389 @@ +2023-06-06 18:04:11,45.534 +2023-06-06 20:57:41,21.886 +2023-06-14 06:10:26,40.902 +2023-06-24 08:25:32,44.703 +2023-06-30 02:49:26,48.221 +2023-07-09 01:56:23,44.155 +2023-07-11 07:33:26,49.042 +2023-07-11 13:03:25,47.635 +2023-07-19 22:54:17,33.100 +2023-07-20 13:32:28,44.038 +2023-07-20 22:41:31,44.284 +2023-08-02 03:50:27,48.657 +2023-08-02 21:12:17,46.859 +2023-08-03 14:45:12,46.239 +2023-08-07 12:25:11,47.223 +2023-08-08 21:55:33,40.217 +2023-08-11 03:39:07,28.526 +2023-08-13 11:57:03,46.997 +2023-08-14 00:06:18,39.219 +2023-08-16 01:44:32,47.867 +2023-08-21 17:03:30,44.208 +2023-08-23 08:00:17,48.020 +2023-08-27 02:15:14,47.500 +2023-08-29 01:19:30,47.177 +2023-08-30 19:31:12,40.844 +2023-09-01 01:04:26,41.020 +2023-09-01 05:48:13,48.633 +2023-09-03 10:39:10,46.740 +2023-09-05 10:12:17,43.478 +2023-09-06 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a/dataset/dca6326b9ca8_rnp_sp_u_throughput.txt b/dataset/dca6326b9ca8_rnp_sp_u_throughput.txt new file mode 100644 index 0000000..724e581 --- /dev/null +++ b/dataset/dca6326b9ca8_rnp_sp_u_throughput.txt @@ -0,0 +1,1157 @@ +2023-06-05 08:42:23,39.960 +2023-06-05 18:03:39,45.630 +2023-06-07 22:14:18,42.125 +2023-06-08 21:45:00,33.609 +2023-06-09 22:39:08,47.882 +2023-06-11 01:52:58,43.856 +2023-06-11 06:49:02,41.027 +2023-06-11 07:29:46,47.550 +2023-06-11 09:27:06,49.033 +2023-06-11 09:53:43,49.382 +2023-06-13 01:47:56,49.264 +2023-06-13 02:41:38,40.577 +2023-06-13 02:51:51,30.980 +2023-06-13 04:28:23,50.042 +2023-06-14 07:01:49,42.694 +2023-06-15 04:44:53,40.784 +2023-06-15 07:42:37,39.418 +2023-06-15 07:49:07,32.525 +2023-06-15 09:57:37,46.219 +2023-06-15 12:06:35,45.446 +2023-06-15 16:13:37,43.110 +2023-06-15 16:36:17,45.580 +2023-06-15 18:57:37,48.872 +2023-06-16 03:50:22,31.081 +2023-06-16 11:01:51,43.270 +2023-06-17 06:22:56,49.855 +2023-06-17 06:49:01,47.112 +2023-06-18 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b/dataset/dca6326b9ce4_rnp_sp_d_throughput.txt new file mode 100644 index 0000000..dac608d --- /dev/null +++ b/dataset/dca6326b9ce4_rnp_sp_d_throughput.txt @@ -0,0 +1,1077 @@ +2023-06-05 03:14:16,622.167 +2023-06-05 17:25:33,607.782 +2023-06-05 17:37:39,622.159 +2023-06-05 19:34:12,623.099 +2023-06-05 20:29:19,609.355 +2023-06-05 20:35:15,608.328 +2023-06-06 06:00:33,623.475 +2023-06-06 06:14:32,623.343 +2023-06-06 07:58:16,623.875 +2023-06-06 11:50:22,618.217 +2023-06-06 18:36:05,623.563 +2023-06-07 00:53:52,621.928 +2023-06-07 18:15:31,623.509 +2023-06-10 20:12:12,618.765 +2023-06-10 20:47:02,620.867 +2023-06-10 20:56:53,617.867 +2023-06-10 21:36:52,621.913 +2023-06-10 21:57:49,619.983 +2023-06-12 15:32:01,621.943 +2023-06-14 19:51:31,618.949 +2023-06-15 17:46:58,617.715 +2023-06-15 20:39:51,617.207 +2023-06-16 07:22:42,622.758 +2023-06-16 12:14:46,611.469 +2023-06-16 15:33:48,623.804 +2023-06-16 15:51:54,622.829 +2023-06-16 21:00:40,615.512 +2023-06-16 23:29:04,618.672 +2023-06-17 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b/dataset/e45f01359a20_gig02_d_throughput.txt new file mode 100644 index 0000000..4aad05e --- /dev/null +++ b/dataset/e45f01359a20_gig02_d_throughput.txt @@ -0,0 +1,944 @@ +2023-06-05 20:10:17,157.004 +2023-06-06 01:59:59,589.982 +2023-06-06 10:30:53,588.846 +2023-06-06 20:16:40,586.038 +2023-06-08 10:03:44,589.091 +2023-06-09 16:15:02,587.884 +2023-06-11 17:48:51,588.907 +2023-06-11 21:02:21,587.370 +2023-06-13 23:01:22,588.655 +2023-06-16 03:20:23,588.201 +2023-06-16 17:39:55,587.408 +2023-06-17 00:03:33,585.004 +2023-06-17 06:12:29,588.102 +2023-06-17 07:21:34,587.380 +2023-06-17 09:56:23,589.463 +2023-06-17 15:24:34,588.409 +2023-06-17 18:56:33,586.132 +2023-06-17 19:56:49,585.135 +2023-06-18 06:01:41,588.139 +2023-06-18 06:14:23,590.445 +2023-06-18 06:27:35,589.323 +2023-06-18 11:22:47,587.876 +2023-06-18 11:59:51,584.226 +2023-06-18 12:23:27,582.068 +2023-06-18 15:48:35,582.738 +2023-06-18 18:23:16,584.748 +2023-06-18 21:57:31,583.520 +2023-06-19 02:56:52,589.575 +2023-06-19 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diff --git a/dataset/e45f01963c21_gru02_u_rttmean.txt b/dataset/e45f01963c21_gru02_u_rttmean.txt new file mode 100644 index 0000000..28669f5 --- /dev/null +++ b/dataset/e45f01963c21_gru02_u_rttmean.txt @@ -0,0 +1,382 @@ +2023-06-06 18:35:12,32.621 +2023-06-19 15:25:56,30.296 +2023-07-03 10:13:06,24.215 +2023-07-13 02:11:21,23.808 +2023-07-13 10:57:19,23.708 +2023-07-15 04:28:19,23.878 +2023-07-15 08:28:10,23.675 +2023-07-16 19:12:25,22.913 +2023-07-21 00:52:09,16.353 +2023-07-21 10:20:18,23.720 +2023-07-23 06:34:28,22.735 +2023-08-01 20:01:03,24.510 +2023-08-02 01:21:28,24.082 +2023-08-03 01:19:17,23.501 +2023-08-07 04:13:14,23.176 +2023-08-10 11:18:04,22.591 +2023-08-11 03:39:27,22.142 +2023-08-16 15:51:28,23.391 +2023-08-18 17:47:28,23.458 +2023-08-24 23:12:25,29.802 +2023-08-25 08:42:30,29.568 +2023-08-25 22:02:10,34.969 +2023-08-26 09:35:14,29.440 +2023-08-27 02:11:22,11.575 +2023-08-29 09:21:32,30.711 +2023-08-29 16:27:19,30.002 +2023-08-30 21:19:25,37.130 +2023-09-02 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a/dataset/e45f01963c21_gru02_u_throughput.txt b/dataset/e45f01963c21_gru02_u_throughput.txt new file mode 100644 index 0000000..a17cd16 --- /dev/null +++ b/dataset/e45f01963c21_gru02_u_throughput.txt @@ -0,0 +1,382 @@ +2023-06-06 18:35:12,266.331 +2023-06-19 15:25:56,266.702 +2023-07-03 10:13:06,268.170 +2023-07-13 02:11:21,268.180 +2023-07-13 10:57:19,268.632 +2023-07-15 04:28:19,268.681 +2023-07-15 08:28:10,268.527 +2023-07-16 19:12:25,241.086 +2023-07-21 00:52:09,239.445 +2023-07-21 10:20:18,268.386 +2023-07-23 06:34:28,268.486 +2023-08-01 20:01:03,268.115 +2023-08-02 01:21:28,268.537 +2023-08-03 01:19:17,268.595 +2023-08-07 04:13:14,268.749 +2023-08-10 11:18:04,268.520 +2023-08-11 03:39:27,268.754 +2023-08-16 15:51:28,268.662 +2023-08-18 17:47:28,268.591 +2023-08-24 23:12:25,193.351 +2023-08-25 08:42:30,193.386 +2023-08-25 22:02:10,189.914 +2023-08-26 09:35:14,193.294 +2023-08-27 02:11:22,128.048 +2023-08-29 09:21:32,193.282 +2023-08-29 16:27:19,193.390 +2023-08-30 21:19:25,192.369 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b/dataset/e45f01963c21_rnp_rj_d_throughput.txt new file mode 100644 index 0000000..277d2e0 --- /dev/null +++ b/dataset/e45f01963c21_rnp_rj_d_throughput.txt @@ -0,0 +1,1241 @@ +2023-06-05 19:03:41,520.904 +2023-06-05 21:24:04,519.417 +2023-06-08 05:56:08,158.181 +2023-06-08 06:37:56,464.037 +2023-06-08 07:32:33,488.201 +2023-06-08 09:18:22,516.347 +2023-06-08 09:20:43,486.854 +2023-06-08 20:32:11,513.958 +2023-06-08 20:50:51,521.470 +2023-06-08 22:39:26,511.883 +2023-06-08 23:02:34,519.564 +2023-06-10 22:53:02,518.371 +2023-06-11 13:27:37,523.542 +2023-06-11 16:05:46,496.355 +2023-06-12 13:38:18,521.103 +2023-06-12 15:31:00,514.998 +2023-06-13 13:49:10,511.439 +2023-06-15 20:38:58,510.410 +2023-06-15 20:44:45,500.859 +2023-06-15 22:37:14,518.112 +2023-06-15 23:33:34,517.421 +2023-06-16 04:38:29,525.391 +2023-06-16 06:38:38,522.454 +2023-06-16 19:29:07,502.934 +2023-06-17 20:39:48,468.591 +2023-06-17 20:51:07,516.053 +2023-06-18 22:54:18,518.474 +2023-06-18 23:47:09,525.297 +2023-06-19 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b/experiment/__pycache__/changepoint_module.cpython-39.pyc new file mode 100644 index 0000000..27ec64c Binary files /dev/null and b/experiment/__pycache__/changepoint_module.cpython-39.pyc differ diff --git a/experiment/changepoint_module.py b/experiment/changepoint_module.py new file mode 100644 index 0000000..e7256b3 --- /dev/null +++ b/experiment/changepoint_module.py @@ -0,0 +1,1207 @@ +# -*- coding: utf-8 -*- +""" +Online changepoint detection module + + - Basic implementation: suffix 'ba' + - Proposed implementation: suffix 'ps' + - Functions: + Shewhart: shewhart_ba, shewhart_ps + Exponential Weighted Moving Average: ewma_ba, ewma_ps + Two-sided CUSUM: cusum_2s_ba, cusum_2s_ps + Window-Limited CUSUM: cusum_wl_ba, cusum_wl_ps + Voting Windows Changepoint Detection: vwcd + +@author: Cleiton Moya de Almeida +""" +import numpy as np +from scipy.stats import shapiro, betabinom +from statsmodels.tsa.stattools import adfuller +import time + +verbose = False + + +# Shapiro-Wilk normality test +# H0: normal distribution +def normality_test(y, alpha): + _, pvalue = shapiro(y) + return pvalue > alpha + + +# Augmented Dickey-Fuller test for unitary root (non-stationarity) +# H0: the process has a unit root (non-stationary) +def stationarity_test(y, alpha): + adf = adfuller(y) + pvalue = adf[1] + return pvalue < alpha + + +# Compute the log-pdf for the normal distribution +# Obs.: the scipy built-in function logpdf does not use numpy and so is inneficient +def logpdf(x,loc,scale): + c = 1/np.sqrt(2*np.pi) + y = np.log(c) - np.log(scale) - (1/2)*((x-loc)/scale)**2 + return y + + +# Compute the log-likelihood value for the normal distribution +# Obs.: the scipy built-in function logpdf does not use numpy and so is inneficient +def loglik(x,loc,scale): + n = len(x) + c = 1/np.sqrt(2*np.pi) + y = n*np.log(c/scale) -(1/(2*scale**2))*((x-loc)**2).sum() + return y + + +def shewhart_ba(y, w, k): + """ + Shewhart - basic implementation + + Parameters: + ---------- + y (numpy array): the input time-series + w (int): estimating window size + k (int): number of standard deviations to consider a change-point + + Returns + ------- + CP (list): change-points + elapsedTime (float): running-time + """ + # Auxiliary variables + CP = [] + lcp = 0 + dev = False + Mu0 = [] + U = [] + L = [] + + startTime = time.time() + for t, y_t in enumerate(y): + + if t >= lcp + w: + + if t==lcp+w: + mu0 = y[lcp:t].mean() + s0 = y[lcp:t].std() + if verbose: print(f't={t}: mu0={mu0}, s0={s0}') + + # lower and upper control limits + l = mu0 - k*s0 + u = mu0 + k*s0 + + # Shewhart statistic deviation checking + dev = y_t>=u or y_t<=l + + if dev: + lcp = t + if verbose: print(f't={t}: Changepoint at t={lcp}') + CP.append(lcp) + dev = False + + else: + mu0 = np.nan + l = np.nan + u = np.nan + + Mu0.append(mu0) + U.append(u) + L.append(l) + endTime = time.time() + elapsedTime = endTime-startTime + + return CP, elapsedTime + + +def shewhart_ps(y, w, k, rl, ka, alpha_norm, alpha_stat, filt_per, max_var, cs_max): + """ + Shewhart - proposed implementation + + Parameters: + ---------- + y (numpy array): the input time-series + w (int): estimating window size + k (int): number of standard deviations to consider a deviation + rl (int): number of consecutives deviation to consider a change-point + ka (int): number of standard deviations to consider a point-anomaly + alpha_norm (float): Shapyro-Wilker test significance level + alpha_stat (float): ADF test significance level + filt_per (float): outlier filter percentil (first window or not. estab.) + max_var (float): maximum increased variance allowed to consider stab. + cs_max (int); maximum counter for process not stabilized + + Returns: + ------- + CP (list): change-points + Anom_u (list): upper anomalies + Anom_l (list): lower anomalies + M0_unique (list): estimated mean of the segments + S0_unique (list): estimated standar deviation of the segments + elapsedTime (float): running-time + """ + # Auxiliary variables initialization + CP = [] # changepoint list + Anom_u = [] # up point anomalies list + Anom_l = [] # low point anomalie list + lcp = 0 # last checked point + win_t0 = 0 # learning window t0 + Win_period = [] # stabilization/learning windows + c = 0 # statistic deviation counter + ca_u = 0 # up point up counter + ca_l = 0 # low point anomaly counter + cs = 0 # stabilization counter + Mu0 = [] # phase 1 estimated mu0 at each t + M0_unique = [] # phase 1 estimated mu0 after each changepoint + Sigma0 = [] # phase 1 estimated sigma0 + S0_unique = [] # phase 1 estimated sigma0 after each changepoint + U = [] # upper control limit at each t + L = [] # lower control limit at each t + + startTime = time.time() + for t, y_t in enumerate(y): + + if t >= lcp + w: + + # At process beginning and after a changepoint, + # check if the process is stable before estimating the parameters + if t==lcp+w: + yw = y[lcp+1:t+1] + + # Shapiro-Wiltker test for normality + normality = normality_test(yw, alpha_norm) + + # Check if the variance level increasing is acceptable + # If its the first window, accept blindly, but filter possible outliers + # before estimating the mu0, s0 + first_window = len(Win_period) == 0 + sw = yw.std(ddof=1) + if not first_window: + sa = S0_unique[-1] + dev_var = abs(sw - sa)/sa + var_acept = dev_var <= max_var + else: + var_acept = True + yw = yw[(yw>np.quantile(yw,1-filt_per)) & (ywnp.quantile(yw,1-filt_per)) & (yw= mu0 + ka*s0 + anom_l = y_t <= mu0 - ka*s0 + if anom_u: + Anom_u.append(t) + if anom_l: + Anom_l.append(t) + + # Check for statistic deviation + dev = abs(y_t-mu0) >= k*s0 + + if dev: + if anom_u: + ca_u = ca_u+1 + elif anom_l: + ca_l = ca_l+1 + + c = c+1 + + if c==rl: + win_t0 = t-rl + if verbose: print(f't={t}: Changepoint at t={win_t0}') + CP.append(win_t0) + lcp = win_t0 + if ca_u > 0: + Anom_u = Anom_u[:-ca_u] + if ca_l > 0: + Anom_l = Anom_l[:-ca_l] + c = 0 + ca_u = 0 + ca_l = 0 + + else: + c = 0 + ca_u = 0 + ca_l = 0 + + else: + mu0 = np.nan + s0 = np.nan + l = np.nan + u = np.nan + + Mu0.append(mu0) + Sigma0.append(s0) + U.append(u) + L.append(l) + endTime = time.time() + elapsedTime = endTime-startTime + + return CP, Anom_u, Anom_l, M0_unique, S0_unique, elapsedTime + + +def ewma_ba(y, w, kd, lamb): + """ + Exponential Weighted Moving Average (EWMA) - basic implementation + + Parameters: + ---------- + y (numpy array): the input time-series + w (int): estimating window size + kd (int): EWMA 'kd' hyperparameter + lamb (float): EWMA 'lambda' hyperparameter + + Returns + ------- + CP (list): change-points + elapsedTime (float): running-time + """ + # Auxiliary variables initialization + CP = [] + lcp = 0 + Mu0 = [] + Sigma0 = [] + U = [] + L = [] + Z = [] + + startTime = time.time() + for t,y_t in enumerate(y): + + if t >= lcp + w: + + # Phase 1 estimation + if t == lcp+w: + mu0 = np.mean(y[lcp:t]) + sigma0 = y[lcp:t].std(ddof=0) + z = mu0# reset the Z statistic + if verbose: print(f't={t}: mu0={mu0}, sigma0={sigma0}') + + + # Phase 2 statistic and limits estimation + z = lamb*y[t] + (1-lamb)*z + ucl = mu0 + kd*sigma0*np.sqrt((lamb/(2-lamb))) + lcl = mu0 - kd*sigma0*np.sqrt((lamb/(2-lamb))) + + # verifica se há dev do moving range + dev = z >ucl or z < lcl + if dev: + lcp = t + if verbose: print(f't={t}: Changepoint at t={lcp}') + CP.append(lcp) + + else: + ucl = np.nan + lcl = np.nan + z = np.nan + mu0 = np.nan + sigma0 = np.nan + + Z.append(z) + U.append(ucl) + L.append(lcl) + Mu0.append(mu0) + Sigma0.append(sigma0) + endTime = time.time() + elapsedTime = endTime-startTime + + Z = np.array(Z) + U = np.array(U) + L = np.array(L) + Mu0 = np.array(Mu0) + Sigma0 = np.array(Sigma0) + + return CP, elapsedTime + + +def ewma_ps(y, w, kd, lamb, rl, ka, alpha_norm, alpha_stat, filt_per, max_var, cs_max): + """ + Exponential Weighted Moving Average (EWMA) - basic implementation + + Parameters: + ---------- + y (numpy array): the input time-series + w (int): estimating window size + kd (int): EWMA 'kd' hyperparameter + lamb (float): EWMA 'lambda' hyperparameter + rl (int): number of consecutives deviation to consider a change-point + ka (int): number of standard deviations to consider a point-anomaly + alpha_norm (float): Shapyro-Wilker test significance level + alpha_stat (float): ADF test significance level + filt_per (float): outlier filter percentil (first window or not. estab.) + max_var (float): maximum increased variance allowed to consider stab. + cs_max (int); maximum counter for process not stabilized + + Returns: + ------- + CP (list): change-points + Anom_u (list): upper anomalies + Anom_l (list): lower anomalies + M0_unique (list): estimated mean of the segments + S0_unique (list): estimated standar deviation of the segments + elapsedTime (float): running-time + """ + # Auxiliary variables initialization + Z = [] + U = [] + L = [] + CP = [] + Anom_u = [] # up point anomalies list + Anom_l = [] # low point anomalie list + Mu0 = [] + Sigma0 = [] + Win_period = [] + M0_unique = [] # phase 1 estimated mu0 after each changepoint + S0_unique = [] # phase 1 estimated sigma0 after each changepoint + z = np.nan + za = np.nan + lcp = 0 + win_t0 = 0 # learning window t0 + c = 0 # sucessive deviation counter + ca_u = 0 # up point up counter + ca_l = 0 # low point anomaly counter + cs = 0 # stabilization counter + dev = False + stab = False # stabilization indicator variable after + + startTime = time.time() + for t, y_t in enumerate(y): + + if t >= lcp+w: + + if t == lcp+w: + + yw = y[lcp+1:t+1] + sw = yw.std(ddof=1) + # Shapiro-Wiltker test for normality + normality = normality_test(yw, alpha_norm) + + # Check if the variance level increasing is acceptable + # If its the first window, accept blindly, but filter possible + # outliers before estimating the mu0, sigma0 + first_window = len(Win_period) == 0 + if not first_window: + sa = S0_unique[-1] + dev_var = abs(sw - sa)/sa + var_acept = dev_var <= max_var + else: + var_acept = True + yw = yw[(yw>np.quantile(yw,1-filt_per)) & (ywnp.quantile(yw,1-filt_per)) & (yw= mu0 + ka*sigma0 + anom_l = y_t <= mu0 - ka*sigma0 + if anom_u: + Anom_u.append(t) + if anom_l: + Anom_l.append(t) + + # EWMA statistic update + za = z + z = lamb*y[t] + (1-lamb)*z + ucl = mu0 + kd*sigma0*np.sqrt((lamb/(2-lamb))) + lcl = mu0 - kd*sigma0*np.sqrt((lamb/(2-lamb))) + + # check for statistic deviation + dev = z >ucl or z < lcl + if dev: + c=c+1 + if anom_u: + ca_u = ca_u+1 + elif anom_l: + ca_l = ca_l+1 + + # confirms the changepoint and resets the ewma statistic + if c == rl: + win_t0 = t-rl + if verbose: print(f't={t}: Changepoint confirmed at t={win_t0}') + CP.append(win_t0) + lcp = win_t0 + if ca_u > 0: + Anom_u = Anom_u[:-ca_u] + if ca_l > 0: + Anom_l = Anom_l[:-ca_l] + c = 0 + ca_u = 0 + ca_l = 0 + Z.append(z) + z = za + else: + c=0 + ca_u = 0 + ca_l = 0 + Z.append(z) + else: + z = np.nan + ucl = np.nan + lcl = np.nan + mu0 = np.nan + sigma0 = np.nan + Z.append(z) + + + U.append(ucl) + L.append(lcl) + Mu0.append(mu0) + Sigma0.append(sigma0) + endTime = time.time() + elapsedTime = endTime-startTime + + Z = np.array(Z) + Mu0 = np.array(Mu0) + Sigma0 = np.array(Sigma0) + + return CP, Anom_u, Anom_l, M0_unique, S0_unique, elapsedTime + + +def cusum_2s_ba(y, w, delta, h): + """ + Two-sided CUSUM - basic implementation + + Parameters: + ---------- + y (numpy array): the input time-series + w (int): estimating window size + delta (int/float): deviation (in terms of sigma0) to detect + h (float): statistic threshold (in terms of sigma0) + + Returns + ------- + CP (list): change-points + elapsedTime (float): running-time + """ + # Auxiliary variables + U = [] + L = [] + H = [] + CP = [] + Mu = [] + Sigma = [] + Ut = 0 + Lt = 0 + lcp = 0 + + startTime = time.time() + for t, y_t in enumerate(y): + + if t >= lcp+w: + if Ut is np.nan: + Ut = 0 + Lt = 0 + + # Phase 1 parameters updating + if t==lcp+w: + mu0 = y[lcp:t].mean() + sigma0 = y[lcp:t].std(ddof=0) + Ht = h*sigma0 + + # Phase 2 CUSUM statitics computing + Ut = Ut + y_t - mu0 - delta*sigma0/2 + Ut = np.heaviside(Ut,0)*Ut + Lt = Lt - y_t + mu0 - delta*sigma0/2 + Lt = np.heaviside(Lt,0)*Lt + + # check for statistic deviation + dev = Ut > Ht or Lt > Ht + if dev: + lcp = t + if verbose: print(f't={t}: Changepoint at t={lcp}') + CP.append(lcp) + dev = False + + else: + Ut = np.nan + Lt = np.nan + Ht = np.nan + mu0 = np.nan + sigma0 = np.nan + + + U.append(Ut) + L.append(Lt) + H.append(Ht) + Mu.append(mu0) + Sigma.append(sigma0) + endTime = time.time() + elapsedTime = endTime-startTime + + U = np.array(U) + L = np.array(L) + Mu = np.array(Mu) + Sigma = np.array(Sigma) + + return CP, elapsedTime + + +def cusum_2s_ps(y, w, delta, h, rl, ka, alpha_norm, alpha_stat, filt_per, max_var, cs_max): + """ + Two-sided CUSUM - basic implementation + + Parameters: + ---------- + y (numpy array): the input time-series + w (int): estimating window size + delta (int/float): deviation (in terms of sigma0) to detect + h (float): statistic threshold (in terms of sigma0) + rl (int): number of consecutives deviation to consider a change-point + ka (int): number of standard deviations to consider a point-anomaly + alpha_norm (float): Shapyro-Wilker test significance level + alpha_stat (float): ADF test significance level + filt_per (float): outlier filter percentil (first window or not. estab.) + max_var (float): maximum increased variance allowed to consider stab. + cs_max (int); maximum counter for process not stabilized + + Returns: + ------- + CP (list): change-points + Anom_u (list): upper anomalies + Anom_l (list): lower anomalies + M0_unique (list): estimated mean of the segments + S0_unique (list): estimated standar deviation of the segments + elapsedTime (float): running-time + """ + # Auxiliary variables initialization + Gu = [] + Gl = [] + H = [] + CP = [] + Anom_u = [] # up point anomalies list + Anom_l = [] # low point anomalie list + Mu = [] + Sigma = [] + Win_period = [] + M0_unique = [] # phase 1 estimated mu0 after each changepoint + S0_unique = [] # phase 1 estimated sigma0 after each changepoint + gu = 0 + gua = 0 + gl = 0 + gla = 0 + lcp = 0 + win_t0 = 0 # learning window t0 + c = 0 # sucessive outlier counter + ca_u = 0 # up point up counter + ca_l = 0 # low point anomaly counter + stab = False # stabilization indicator variable after + cs = 0 + + startTime = time.time() + for t, y_t in enumerate(y): + + if t >= lcp+w: + if gu is np.nan: + gu = 0 + gl = 0 + + if t==lcp+w: + + # At process beginning and after a changepoint, + # check if the process is stable before estimating the parameters + if t==lcp+w: + yw = y[lcp+1:t+1] + + # Shapiro-Wiltker test for normality + normality = normality_test(yw, alpha_norm) + + # Check if the variance level increasing is acceptable + # If its the first window, accept blindly, but filter possible outliers + # before estimating the mu0, s0 + first_window = len(Win_period) == 0 + sw = yw.std(ddof=1) + if not first_window: + sa = S0_unique[-1] + dev_var = abs(sw - sa)/sa + var_acept = dev_var <= max_var + else: + var_acept = True + yw = yw[(yw>np.quantile(yw,1-filt_per)) & (ywnp.quantile(yw,1-filt_per)) & (yw= mu0 + ka*sigma0 + anom_l = y_t <= mu0 - ka*sigma0 + if anom_u: + Anom_u.append(t) + if anom_l: + Anom_l.append(t) + + # check for statistic deviation + dev = gu > ht or gl > ht + if dev: + c=c+1 + if anom_u: + ca_u = ca_u+1 + elif anom_l: + ca_l = ca_l+1 + + if c == rl: # confirma o changepoint e reinicia o cusum + win_t0 = t-rl + if verbose: print(f't={t}: Changepoint confirmed at t={win_t0}') + CP.append(win_t0) + lcp = win_t0 + if ca_u > 0: + Anom_u = Anom_u[:-ca_u] + if ca_l > 0: + Anom_l = Anom_l[:-ca_l] + c = 0 + ca_u = 0 + ca_l = 0 + + Gu.append(gu) + Gl.append(gl) + gu = gua + gl = gla + + else: + c=0 + ca_u = 0 + ca_l = 0 + Gu.append(gu) + Gl.append(gl) + + else: + gu = np.nan + gl = np.nan + ht = np.nan + mu0 = np.nan + sigma0 = np.nan + Gu.append(gu) + Gl.append(gl) + + H.append(ht) + Mu.append(mu0) + Sigma.append(sigma0) + endTime = time.time() + elapsedTime = endTime-startTime + + Gu = np.array(Gu) + Gl = np.array(Gl) + Mu = np.array(Mu) + Sigma = np.array(Sigma) + + return CP, Anom_u, Anom_l, M0_unique, S0_unique, elapsedTime + + +def cusum_wl_ba(y, w0, w1, h): + """ + Window-limited CUSUM - basic implementation + + Parameters: + ---------- + y (numpy array): the input time-series + w0 (int): pre-change estimating window size + w1 (int): post-change estimating window size + h (float): statistic threshold (in terms of sigma0) + + Returns + ------- + CP (list): change-points + elapsedTime (float): running-time + """ + # Auxiliary variables + lcp = 0 + S1 = [] + CP = [] + Mu0 = [] + Sigma0 = [] + Mu1 = [] + H = [] + St = np.nan + m0 = np.nan + m1 = np.nan + + startTime = time.time() + for t, y_t in enumerate(y): + + if t >= lcp+w0: + + # Phase 1 parameters learning + if t == lcp+w0: + m0 = y[lcp:t].mean() + s0 = y[lcp:t].std(ddof=1) + Ht = h*s0 + + # Phase 2 parameters earning + m1 = y[t-w1:t].mean() + s1 = y[t-w1:t].std(ddof=1) + + # Phase 2 CUSUM statistic computing + if St is np.nan: + St = 0 + St = np.heaviside(St,0)*St + St = St + logpdf(y_t, m1, s1) - logpdf(y_t, m0, s0) + + # Check for statistic deviation + dev = St > Ht + if dev: + lcp=t + if verbose: print(f'Changepoint at t={t}') + CP.append(t) + dev = False + + else: + St = np.nan + m0 = np.nan + s0 = np.nan + m1 = np.nan + s1 = np.nan + Ht = np.nan + + S1.append(St) + Mu0.append(m0) + Mu1.append(m1) + Sigma0.append(s0) + H.append(Ht) + endTime = time.time() + elapsedTime = endTime-startTime + + Mu0 = np.array(Mu0) + Sigma0 = np.array(Sigma0) + + return CP, elapsedTime + + +def cusum_wl_ps(y, w0, w1, h, rl, k, ka, alpha_norm, alpha_stat, filt_per, max_var, cs_max): + """ + Window-limited CUSUM - basic implementation + + Parameters: + ---------- + y (numpy array): the input time-series + w0 (int): pre-change estimating window size + w1 (int): post-change estimating window size + h (float): statistic threshold (in terms of sigma0) + rl (int): number of consecutives deviation to consider a change-point + ka (int): number of standard deviations to consider a point-anomaly + alpha_norm (float): Shapyro-Wilker test significance level + alpha_stat (float): ADF test significance level + filt_per (float): outlier filter percentil (first window or not. estab.) + max_var (float): maximum increased variance allowed to consider stab. + cs_max (int); maximum counter for process not stabilized + + Returns: + ------- + CP (list): change-points + Anom_u (list): upper anomalies + Anom_l (list): lower anomalies + M0_unique (list): estimated mean of the segments + S0_unique (list): estimated standar deviation of the segments + elapsedTime (float): running-time + """ + # Auxiliary variables + S = [] + H = [] + CP = [] + Anom_u = [] # up point anomalies list + Anom_l = [] # low point anomalie list + Mu0 = [] + Sigma0 = [] + Mu1 = [] + Win_period = [] + M0_unique = [] # phase 1 estimated mu0 after each changepoint + S0_unique = [] # phase 1 estimated sigma0 after each changepoint + st = 0 # CUSUM statistic + Sta = 0 # CUSUM statisitc before deviation + lcp = 0 # last changepoint + win_t0 = 0 # learning window t0 + c = 0 # sucessive outlier counter + ca_u = 0 # up point up counter + ca_l = 0 # low point anomaly counter + cs = 0 + stab = False # stabilization indicator variable after + + startTime = time.time() + for t, y_t in enumerate(y): + + if t >= lcp+w0: + + #if not dev, update mu: + if t==lcp+w0: + yw = y[lcp+1:t+1] + + # Shapiro-Wiltker test for normality + normality = normality_test(yw, alpha_norm) + + # Check if the variance level increasing is acceptable + # If its the first window, accept blindly, but filter possible outliers + # before estimating the mu0, s0 + first_window = len(Win_period) == 0 + sw = yw.std(ddof=1) + if not first_window: + sa = S0_unique[-1] + dev_var = abs(sw - sa)/sa + var_acept = dev_var <= max_var + else: + var_acept = True + yw = yw[(yw>np.quantile(yw,1-filt_per)) & (ywnp.quantile(yw,1-filt_per)) & (yw= mu0 + ka*sigma0 + anom_l = y_t <= mu0 - ka*sigma0 + if anom_u: + Anom_u.append(t) + if anom_l: + Anom_l.append(t) + + # check for statistic deviation + dev = st > ht + if dev: + c=c+1 + if anom_u: + ca_u = ca_u+1 + elif anom_l: + ca_l = ca_l+1 + # confirms the changepoint and resets the cusum statistic + if c == rl: + win_t0 = t-rl + if verbose: print(f't={t}: Changepoint confirmed at t={win_t0}') + CP.append(win_t0) + lcp = win_t0 + if ca_u > 0: + Anom_u = Anom_u[:-ca_u] + if ca_l > 0: + Anom_l = Anom_l[:-ca_l] + c = 0 + ca_u = 0 + ca_l = 0 + + S.append(st) + st = Sta + + else: + c=0 + ca_u = 0 + ca_l = 0 + S.append(st) + + else: + st = np.nan + ht = np.nan + mu0 = np.nan + mu1 = np.nan + sigma0 = np.nan + S.append(st) + + H.append(ht) + Mu0.append(mu0) + Mu1.append(mu1) + Sigma0.append(sigma0) + endTime = time.time() + elapsedTime = endTime-startTime + + S = np.array(S) + Mu0 = np.array(Mu0) + Mu1 = np.array(Mu1) + Sigma0 = np.array(Sigma0) + + return CP, Anom_u, Anom_l, M0_unique, S0_unique, elapsedTime + + +def vwcd(X, w, w0, alpha, beta, p_thr, vote_p_thr, vote_n_thr, y0, yw, aggreg): + """ + Voting Windows Changepoint Detection + + Parameters: + ---------- + X (numpy array): the input time-series + w (int): sliding window size + w0 (int): pre-chage estimating window size + h (float): statistic threshold (in terms of sigma0) + rl (int): number of consecutives deviation to consider a change-point + ka (int): number of standard deviations to consider a point-anomaly + alpha_norm (float): Shapyro-Wilker test significance level + alpha_stat (float): ADF test significance level + filt_per (float): outlier filter percentil (first window or not. estab.) + max_var (float): maximum increased variance allowed to consider stab. + cs_max (int); maximum counter for process not stabilized + + Returns: + ------- + CP (list): change-points + M0 (list): estimated mean of the segments + S0 (list): estimated standar deviation of the segments + elapsedTime (float): running-time + """ + # Auxiliary functions + # Compute the window posterior probability given the log-likelihood and prior + # using the log-sum-exp trick + def pos_fun(ll, prior, tau): + c = np.nanmax(ll) + lse = c + np.log(np.nansum(prior*np.exp(ll - c))) + p = ll[tau] + np.log(prior[tau]) - lse + return np.exp(p) + + # Aggregate a list of votes - compute the posterior probability + def votes_pos(vote_list, prior_v): + vote_list = np.array(vote_list) + prod1 = vote_list.prod()*prior_v + prod2 = (1-vote_list).prod()*(1-prior_v) + p = prod1/(prod1+prod2) + return p + + # Prior probabily for votes aggregation + def logistic_prior(x, w, y0, yw): + a = np.log((1-y0)/y0) + b = np.log((1-yw)/yw) + k = (a-b)/w + x0 = a/k + y = 1./(1+np.exp(-k*(x-x0))) + return y + + alpha=beta + + # Auxiliary variables + N = len(X) + #vote_n_thr = np.floor(w*vote_n_thr) + + # Prior probatilty for a changepoint in a window - Beta-B + i_ = np.arange(0,w-3) + prior_w = betabinom(n=w-4,a=alpha,b=beta).pmf(i_) + + # prior for vot aggregation + x_votes = np.arange(1,w+1) + prior_v = logistic_prior(x_votes, w, y0, yw) + + votes = {i:[] for i in range(N)} # dictionary of votes + votes_agg = {} # aggregated voteylims + + lcp = 0 # last changepoint + CP = [] # changepoint list + M0 = [] # list of post-change mean + S0 = [] # list of post-change standard deviation + + startTime = time.time() + for n in range(N): + if n>=w-1: + + # estimate the paramaters (w0 window) + if n == lcp+w0: + # estimate the post-change mean and variace + m_w0 = X[n-w0+1:n+1].mean() + s_w0 = X[n-w0+1:n+1].std(ddof=1) + M0.append(m_w0) + S0.append(s_w0) + + # current window + Xw = X[n-w+1:n+1] + + LLR_h = [] + for nu in range(1,w-3+1): + #for nu in range(w): + # MLE and log-likelihood for H1 + x1 = Xw[:nu+1] #Xw até nu + m1 = x1.mean() + s1 = x1.std(ddof=1) + if np.round(s1,3) == 0: + s1 = 0.001 + logL1 = loglik(x1, loc=m1, scale=s1) + + # MLE and log-likelihood for H2 + x2 = Xw[nu+1:] + m2 = x2.mean() + s2 = x2.std(ddof=1) + if np.round(s2,3) == 0: + s2 = 0.001 + logL2 = loglik(x2, loc=m2, scale=s2) + + # log-likelihood ratio + llr = logL1+logL2 + LLR_h.append(llr) + + + # Compute the posterior probability + LLR_h = np.array(LLR_h) + pos = [pos_fun(LLR_h, prior_w, nu) for nu in range(w-3)] + pos = [np.nan] + pos + [np.nan]*2 + pos = np.array(pos) + + # Compute the MAP (vote) + p_vote_h = np.nanmax(pos) + nu_map_h = np.nanargmax(pos) + + # Store the vote if it meets the hypothesis test threshold + if p_vote_h >= p_thr: + j = n-w+1+nu_map_h # Adjusted index + votes[j].append(p_vote_h) + + # Aggregate the elegible votes for X[n-w+1] + votes_list = votes[n-w+1] + num_votes = len(votes_list) + if num_votes >= vote_n_thr: + if aggreg == 'posterior': + agg_vote = votes_pos(votes_list, prior_v[num_votes-1]) + elif aggreg == 'mean': + agg_vote = np.mean(votes_list) + votes_agg[n-w+1] = agg_vote + + # Decide for a changepoit + if agg_vote > vote_p_thr: + if verbose: print(f'Changepoint at n={n-w+1}, p={agg_vote}, n={num_votes} votes') + lcp = n-w+1 # last changepoint + CP.append(lcp) + + endTime = time.time() + elapsedTime = endTime-startTime + return CP, M0, S0, elapsedTime \ No newline at end of file diff --git a/experiment/df_results.pkl b/experiment/df_results.pkl new file mode 100644 index 0000000..48eab83 Binary files /dev/null and b/experiment/df_results.pkl differ diff --git a/experiment/df_series.pkl b/experiment/df_series.pkl new file mode 100644 index 0000000..ffdc2b3 Binary files /dev/null and b/experiment/df_series.pkl differ diff --git a/experiment/experiment.py b/experiment/experiment.py new file mode 100644 index 0000000..31f4eb5 --- /dev/null +++ b/experiment/experiment.py @@ -0,0 +1,153 @@ +# -*- coding: utf-8 -*- +""" +Created on Thu Nov 23 00:56:50 2023 +Changepoint alghorithms experiment +@author: cleiton +""" + +import numpy as np +import pandas as pd +import changepoint_module as cm + +df = pd.read_pickle('df_series.pkl') +N = len(df) + +series_type = ['d_throughput', 'd_rttmean', 'u_throughput', 'u_rttmean'] + +# Classical methpods - Basic implementations +sequential_ba = [cm.shewhart_ba, cm.ewma_ba, cm.cusum_2s_ba, cm.cusum_wl_ba] + +# Classical methods - Proposed implementations +sequential_ps = [cm.shewhart_ps, cm.ewma_ps, cm.cusum_2s_ps, cm.cusum_wl_ps] + +pairs = zip(sequential_ba, sequential_ps) +methods = [m for pair in pairs for m in pair] +methods = methods + [cm.vwcd] + +# Proposed frametwork commom hyperparameters +w0 = 20 # phase 1 estimating window size +rl = 4 # consecutive deviations to consider a changepoint +ka = 6 # kappa for anomaly +alpha_norm = 0.01 # normality test significace level +alpha_stat = 0.01 # statinarity test significance level +cs_max = 5 # maximum counter for process not stabilized +filt_per = 0.95 # outlier filtering percentil (first window or not. estab.) +max_var = 1.2 # maximum level of variance increasing to consider + +# Shewhart hyperparameters +k = 3 + +# EWMA hyperparameters +lamb = 0.1 +kd = 4 + +# CUSUM hyperparameters +h = 5 # statistic threshold +delta = 2 # 2S-CUSUM hyperparameter +w1 = 20 # WL-CUSUM + +# VWCD +wv = 20 # window-size +alpha = beta = 10 # beta-binomial hyperpeparameters +p_thr = 0.8 # threshold probability to an window decide for a changepoint +vote_p_thr = 0.9 # threshold probabilty to decide for a changepoint after aggregation +vote_n_thr = 10 # min. number of votes to decide for a changepoint +y0 = 0.5 # logistic prior hyperparameter +yw = 0.9 # logistic prior hyperparameter +aggreg = 'posterior' # votes aggregation function + +Res = [] + +for m in methods: + + print(f"Processing {m.__name__}") + + for n in range(N): + + client = df.iloc[n].client + site = df.iloc[n].site + + # Prefixo do arquivo + prefixo = client + "_" + site + "_" + + if m==cm.vwcd and n%10==0: + print(f'\tprocessing {n+1}/{N} clients-sites') + + for s_type in series_type: + + # Load the timeseries + file = prefixo + s_type + ".txt" + + y = np.loadtxt(f'../dataset/{file}', usecols=1, delimiter=',') + + # Remove possible nan values + y = y[~np.isnan(y)] + + # Maps the kargs for each method + if m.__name__ == 'shewhart_ba': + kargs = {'y':y, 'w':w0, 'k':k} + + elif m.__name__ == 'shewhart_ps' or m.__name__ == 'shewhart_ps2': + kargs = {'y':y, 'w':w0, 'k':k, 'rl':rl, 'ka':ka, + 'alpha_norm':alpha_norm, 'alpha_stat':alpha_stat, + 'filt_per':filt_per, 'max_var':max_var, + 'cs_max':cs_max} + + elif m.__name__ == 'ewma_ba': + kargs = {'y':y, 'w':w0, 'kd':kd, 'lamb':lamb} + + elif m.__name__ == 'ewma_ps': + kargs = {'y':y, 'w':w0, 'kd':kd, 'lamb':lamb, 'rl':rl, 'ka':ka, + 'alpha_norm':alpha_norm, 'alpha_stat':alpha_stat, + 'filt_per':filt_per, 'max_var':max_var, + 'cs_max':cs_max} + + elif m.__name__ == 'cusum_2s_ba': + kargs = {'y':y, 'w':w0, 'delta':delta, 'h':h} + + elif m.__name__ == 'cusum_2s_ps': + kargs = {'y':y, 'w':w0, 'delta':delta, 'h':h, + 'rl':rl, 'k':k, 'ka':ka, + 'alpha_norm':alpha_norm, 'alpha_stat':alpha_stat, + 'filt_per':filt_per, 'max_var':max_var, + 'cs_max':cs_max} + + elif m.__name__ == 'cusum_wl_ba': + kargs = {'y':y, 'w0':w0, 'w1':w1, 'h':h} + + elif m.__name__ == 'cusum_wl_ps': + kargs = {'y':y, 'w0':w0, 'w1':w1, 'h':h, + 'rl':rl, 'k':k, 'ka':ka, + 'alpha_norm':alpha_norm, 'alpha_stat':alpha_stat, + 'filt_per':filt_per, 'max_var':max_var, + 'cs_max':cs_max} + + elif m.__name__ == 'vwcd': + kargs = {'X':y, 'w':wv, 'w0':wv, 'alpha':alpha, 'beta':beta, + 'p_thr':p_thr, 'vote_p_thr':vote_p_thr, + 'vote_n_thr':vote_n_thr, 'y0':y0, 'yw':yw, + 'aggreg':aggreg} + + # Call the methods + num_anom_u = num_anom_l = M0 = S0 = None + out = m(**kargs) + if m in sequential_ba: + CP, elapsed_time = out + elif m in sequential_ps: + CP, Anom_u, Anom_l, M0, S0, elapsed_time = out + num_anom_u = len(Anom_u) + num_anom_l = len(Anom_l) + elif m == cm.vwcd: + CP, M0, S0, elapsed_time = out + + # Store the results + res = {'client':client, 'site':site, 'serie':s_type, + 'method':m.__name__, 'CP':CP, 'num_cp':len(CP), + 'num_anom_u':num_anom_u, 'num_anom_l':num_anom_l, + 'M0':M0, 'S0':S0, 'elapsed_time':elapsed_time} + + Res.append(res) + +# Dataframe with results +df_res = pd.DataFrame(Res) +pd.to_pickle(df_res, 'df_results.pkl') \ No newline at end of file diff --git a/paper_figures/pdf/anom_boxplot.pdf b/paper_figures/pdf/anom_boxplot.pdf new file mode 100644 index 0000000..46f78e6 Binary files /dev/null and b/paper_figures/pdf/anom_boxplot.pdf differ diff --git a/paper_figures/pdf/client3_rnpsp_urtt.pdf b/paper_figures/pdf/client3_rnpsp_urtt.pdf new file mode 100644 index 0000000..4618625 Binary files /dev/null and b/paper_figures/pdf/client3_rnpsp_urtt.pdf differ diff --git a/paper_figures/pdf/client6_rnprj_dthr.pdf b/paper_figures/pdf/client6_rnprj_dthr.pdf new file mode 100644 index 0000000..4baafc9 Binary files /dev/null and b/paper_figures/pdf/client6_rnprj_dthr.pdf differ diff --git a/paper_figures/pdf/num_changes.pdf b/paper_figures/pdf/num_changes.pdf new file mode 100644 index 0000000..6c3600a Binary files /dev/null and b/paper_figures/pdf/num_changes.pdf differ diff --git a/paper_figures/pdf/shewhart_basic.pdf b/paper_figures/pdf/shewhart_basic.pdf new file mode 100644 index 0000000..6dc4ece Binary files /dev/null and b/paper_figures/pdf/shewhart_basic.pdf differ diff --git a/paper_figures/pdf/shewhart_proposed.pdf b/paper_figures/pdf/shewhart_proposed.pdf new file mode 100644 index 0000000..95c53ed Binary files /dev/null and b/paper_figures/pdf/shewhart_proposed.pdf differ diff --git a/paper_figures/pdf/ut_decreasing.pdf b/paper_figures/pdf/ut_decreasing.pdf new file mode 100644 index 0000000..b9d3a2d Binary files /dev/null and b/paper_figures/pdf/ut_decreasing.pdf differ diff --git a/paper_figures/results.py b/paper_figures/results.py new file mode 100644 index 0000000..0279e9c --- /dev/null +++ b/paper_figures/results.py @@ -0,0 +1,600 @@ +# -*- coding: utf-8 -*- +""" +Plota as figuras 2, 3 e 4 +@author: Cleiton Moya de Almeida +""" + +import numpy as np +import pandas as pd +import matplotlib.pyplot as plt +import seaborn as sns +import matplotlib.lines as mlines +from matplotlib.gridspec import GridSpec +from scipy.stats import betabinom + +plt.rcParams.update({'font.size': 8, 'axes.titlesize': 8, 'hatch.linewidth':0.5}) + +series_type = ['d_throughput', 'd_rttmean', 'u_throughput', 'u_rttmean'] +series_name = ['Vazão down.', 'Latência down.', 'Vazão up.', 'Latência up.'] + +clients = ['dca6326b9aa1', 'dca6326b9c99', 'dca6326b9ca8', + 'e45f01359a20', 'e45f01963c21', 'dca6326b9ce4'] +client_n = [f'Cliente {n}' for n in range(1,len(clients)+1)] + +sites = ['gig01', 'gig02', 'gig03', 'gig04', + 'gru02', 'gru03', 'gru05','rnp_rj', 'rnp_sp'] + +methods_ba = ['shewhart_ba', 'ewma_ba', 'cusum_2s_ba', 'cusum_wl_ba'] +methods_ps = ['shewhart_ps', 'ewma_ps', 'cusum_2s_ps', 'cusum_wl_ps'] +methods_ps2 = ['shewhart_ps', 'ewma_ps', 'cusum_2s_ps', 'cusum_wl_ps', 'vwcd'] +methods = methods_ba + methods_ps + ['vwcd'] + +methods_name = ['Shewhart', 'EWMA', '2S-CUSUM', 'WL-CUSUM', 'VWCD'] + +hatches = ['', '///'] + +# Carrega o data-frame de resultados do experimento +df = pd.read_pickle('../experiment/df_results.pkl') + + +# Computa no úmero de desvios/decrementos de vazão +def dev_abs(M, dev_abs, direction): + M = np.array(M) + n_mean = 0 + if len(M) > 1: + dM = np.diff(M) + + if direction == 'dec': + c2 = dM <= -dev_abs + else: + c2 = dM >= dev_abs + n_mean = c2.sum() + return n_mean + + +def method_type(m): + if m[-2:] == 'ba': + return 'Basic' + else: + return 'Proposed' + + +def method_name(m): + if m[:8] == 'cusum_2s': + return '2S-CUSUM' + elif m[:8] == 'cusum_wl': + return 'WL-CUSUM' + elif m[:4] == 'ewma': + return 'EWMA' + elif m[:8] == 'shewhart': + return 'Shewhart' + elif m == 'vwcd': + return 'VWCD' + +df['method_name'] = [method_name(m) for m in df['method']] + +C0 = np.array([142, 186, 217])/255 # blue +C1 = np.array([255, 190, 134])/255 # orange + +#%% Figura 3 - Número de pontos de mudança +df_ = df.groupby(['method'], as_index=False, )['num_cp'].sum() +df_['method_type'] =[method_type(m) for m in df_['method']] +df_['method_name'] =[method_name(m) for m in df_['method']] +df_['id'] = [2, 3, 4, 5, 6, 7, 0, 1, 8] +df_.sort_values(by='id', inplace=True) + +fig,ax = plt.subplots(figsize=(3.5,3.5), layout='constrained') + +_ = sns.barplot(data=df_, x='method_name', y='num_cp', hue='method_type', + errorbar=None, palette=[C0, C0], saturation=1, ax=ax, + zorder=2, hue_order=['Basic', 'Proposed']) + +num_locations = len(df_.method_type.unique()) +for i, bar in enumerate(ax.patches): + if i <=3 or i==9: + hatch = hatches[1] + else: + hatch = hatches[0] + bar.set_edgecolor('k') + bar.set_linewidth(0.5) + bar.set_hatch(hatch) + +ax.patches[8].set_x(4-0.2) + +ax.set_ylabel("Número de pontos de mudanças") +ax.set_xlabel("") +ax.tick_params(axis='x', labelrotation=20) +handles, labels = ax.get_legend_handles_labels() +ax.legend(handles=handles, labels=['Básico', 'Proposto'], loc='upper right') +ax.set_box_aspect(1) +ax.grid(axis='y', zorder=1, linestyle=':') +plt.savefig('pdf/num_changes.pdf', format='pdf') + + +#%% Figura 6 - Número de anomalias pontuais por cliente +flierprops = dict( markersize=2, markeredgewidth=0.5) +medianprops = dict(linewidth=1) +fig,ax = plt.subplots(figsize=(7,2), nrows=1, ncols=4, sharey=True, layout='constrained') +for i,s in enumerate(series_type): + df_ = df[(df['method'].isin(methods_ps)) & (df.serie == s)] + df_ = df_[['client', 'serie', 'num_anom_u', 'num_anom_l']].melt(id_vars=['client', 'serie'], var_name='anom_type', value_name='num_anom') + + ax[i].set_title(series_name[i]) + bar = sns.boxplot(data=df_, x="client", y="num_anom", hue='anom_type', + ax=ax[i], palette = [C0, C1], saturation=1, + linewidth=0.5, flierprops=flierprops, zorder=2, + medianprops=medianprops) + + ax[i].grid(axis='y', linestyle=':') + + if i==0: + bar.legend_.texts[0].set_text('Incremento') + bar.legend_.texts[1].set_text('Decremento') + bar.legend_.set_title(None) + bar.legend_.set_frame_on(True) + bar.legend_.get_patches()[0].set_hatch(hatches[0]) + bar.legend_.get_patches()[1].set_hatch(hatches[1]) + else: + ax[i].get_legend().remove() + + for j, bar in enumerate(ax[i].patches): + if j<12: + hatch = hatches[j//6] + else: + hatch = hatches[j-12] + bar.set_hatch(hatch) + + ax[i].set_xticks(ax[i].get_xticks()) + ax[i].set_xticklabels(range(1,7)) + if i==0: + ax[i].set_ylabel("Núm. de anomalias pontuais") + ax[i].set_xlabel("Cliente") + else: + ax[i].set_ylabel("") + ax[i].set_xlabel("") +plt.savefig('pdf/anom_boxplot.pdf', format='pdf') + + +#%% Figura 7 - Número de pontos de mudança de decremento de vazão de upload +fig,ax = plt.subplots(nrows=2,ncols=3, sharey=True, figsize=(5,4), layout='constrained') +x_thr = np.arange(1, 101, 1) + +for i,c in enumerate(clients): + ax[i//3, i%3].set_title(f'{client_n[i]}') + ax[i//3, i%3].grid(linestyle=':') + + for j,m in enumerate(methods_ps2): + + df_ = df[(df.client==c) & (df.serie==series_type[2]) & (df.method==m)] + + M0 = df_.M0.values.tolist() + M = [sum([dev_abs(m0_list, p, 'dec') + for m0_list in M0]) for p in x_thr] + + ax[i//3, i%3].plot(x_thr, M, label=f'{methods_name[j]}') + ax[i//3, i%3].set_xticks(range(0,125,25)) + ax[i//3, i%3].set_xticklabels(range(0,125,25)) + ax[i//3, i%3].set_xlim([0,100]) + ax[i//3, i%3].set_yticks(range(0,30,2)) + ax[i//3, i%3].set_ylim([0,10]) + + + if i==0: + ax[i//3, i%3].legend() + ax[i//3, i%3].set_ylabel('Num. de mudanças') + ax[i//3, i%3].set_xlabel('Decremento (Mbits/s)') +plt.savefig('pdf/ut_decreasing.pdf', format='pdf') + + +#%% Função auxiliar para figura 4 +def get_vwcd_votes(X): + # Hyperparameters + w = 20 # window size + w0 = 20 # window used to estimate the post-change parameters + alpha = 5 # Beta-binomial hyperp - prior dist. window + beta = 5 # Beta-binomial hyperp - prior dist. window + p_thr = 0.8 # threshold probability to an window decide for a changepoint + pa_thr = 0.9 # threshold probabilty to decide for a changepoint + vote_n_thr = 10 # min. number of votes to decide for a changepoint + y0 = 0.5 # logistic prior hyperparameter + yw = 0.9 # logistic prior hyperparameter + aggreg = 'mean' # aggregation function for votes + + # Auxiliary functions + # Compute the window posterior probability given the log-likelihood and prior + # using the log-sum-exp trick + def pos_fun(ll, prior, tau): + c = np.nanmax(ll) + lse = c + np.log(np.nansum(prior*np.exp(ll - c))) + p = ll[tau] + np.log(prior[tau]) - lse + return np.exp(p) + + # Aggregate a list of votes - compute the posterior probability + def votes_pos(vote_list, prior_v): + vote_list = np.array(vote_list) + prod1 = vote_list.prod()*prior_v + prod2 = (1-vote_list).prod()*(1-prior_v) + p = prod1/(prod1+prod2) + return p + + # Prior probabily for votes aggregation + def logistic_prior(x, w, y0, yw): + a = np.log((1-y0)/y0) + b = np.log((1-yw)/yw) + k = (a-b)/w + x0 = a/k + y = 1./(1+np.exp(-k*(x-x0))) + return y + + def logpdf(x,loc,scale): + c = 1/np.sqrt(2*np.pi) + y = np.log(c) - np.log(scale) - (1/2)*((x-loc)/scale)**2 + return y + + # Auxiliary variables + N = len(X) + + # Prior probatilty for a changepoint in a window - Beta-Binomial + i_ = np.arange(0,w-3) + prior_w = betabinom(n=w-4,a=alpha,b=beta).pmf(i_) + + # prior for vot aggregation + x_votes = np.arange(1,w+1) + prior_v = logistic_prior(x_votes, w, y0, yw) + + votes = {i:[] for i in range(N)} # dictionary of votes + votes_agg = {} # aggregated voteylims + + lcp = 0 # last changepoint + CP = [] # changepoint list + M0 = [] # list of post-change mean + S0 = [] # list of post-change standard deviation + N_votes_tot = np.zeros(N) + N_votes_ele = np.zeros(N) + + for n in range(N): + if n>=w-1: + + # estimate the paramaters (w0 window) + if n == lcp+w0: + # estimate the post-change mean and variace + m_w0 = X[n-w0+1:n+1].mean() + s_w0 = X[n-w0+1:n+1].std(ddof=1) + M0.append(m_w0) + S0.append(s_w0) + + # current window + Xw = X[n-w+1:n+1] + + + LLR_h = [] + for nu in range(1,w-3+1): + # MLE and log-likelihood for H1 + x1 = Xw[:nu+1] #Xw até nu + m1 = x1.mean() + s1 = x1.std(ddof=1) + if np.round(s1,3) == 0: + #if verbose: print(f'n={n}: warning: s1={s1}, using s1=0.001') + s1 = 0.001 + logL1 = logpdf(x1, loc=m1, scale=s1).sum() + + # MLE and log-likelihood for H2 + x2 = Xw[nu+1:] + m2 = x2.mean() + s2 = x2.std(ddof=1) + if np.round(s2,3) == 0: + #if verbose: print(f'n={n}: warning: s2={s2}, using s2=0.001') + s2 = 0.001 + logL2 = logpdf(x2, loc=m2, scale=s2).sum() + + # log-likelihood ratio + llr = logL1+logL2 + LLR_h.append(llr) + + + # Compute the posterior probability + LLR_h = np.array(LLR_h) + pos = [pos_fun(LLR_h, prior_w, nu) for nu in range(w-3)] + pos = [np.nan] + pos + [np.nan]*2 + pos = np.array(pos) + + # Compute the MAP (vote) + p_vote_h = np.nanmax(pos) + nu_map_h = np.nanargmax(pos) + + # Store the vote if it meets the hypothesis test threshold + j = n-w+1+nu_map_h # Adjusted index + votes[j].append(p_vote_h) + + # Aggregate the votes for X[n-w+1] + votes_list = votes[n-w+1] + elegible_votes = [v for v in votes_list if v > p_thr] + num_votes_tot = len(votes_list) # number of total votes + num_votes_ele = len(elegible_votes) # number of elegible votes + N_votes_tot[n-w+1] = num_votes_tot + N_votes_ele[n-w+1] = num_votes_ele + + # Decide for a changepoit + if num_votes_ele >= vote_n_thr: + if aggreg == 'posterior': + agg_vote = votes_pos(elegible_votes, prior_v[num_votes_ele-1]) + elif aggreg == 'mean': + agg_vote = np.mean(elegible_votes) + votes_agg[n-w+1] = agg_vote + + if agg_vote >= pa_thr: + lcp = n-w+1 # last changepoint + CP.append(lcp) + + return N_votes_ele + + + +#%% Figura 4a +client = clients[2] +site = sites[8] +serie = series_type[3] +file = f'{client}_{site}_{serie}.txt' +y = np.loadtxt(f'../dataset/{file}', usecols=1, delimiter=',') +N = len(y) +num_votes = get_vwcd_votes(y) +num_votes_t = np.where(num_votes)[0] +num_votes_nonzero = num_votes[num_votes_t] + +# Formatters +lw = 0.5 # linewidth to plot +unit = 'ms' +markers_dict = { + 'Shewhart' :'x', + 'EWMA': 's', + '2S-CUSUM': '^', + 'WL-CUSUM': 'v', + 'VWCD': '>'} + +# Load the list of changepoints (not empty) for each method +df_ = df[(df.client==client) & + (df.site==site) & + (df.serie==serie) & + (df.CP.str.len() != 0)] + +# dict of methods chagepoint list +CP_dict = dict(df_[['method', 'CP']].to_dict(orient='split')['data']) + +basic_list = df_[df_.method.isin(methods_ba)].method.unique() +seq_ps_list = df_[df_.method.isin(methods_ps)].method.unique() +methods_name_list = df_.method_name.unique() + + +fig = plt.figure(figsize=(3.2, 4.5), layout='constrained') + +gs = GridSpec(nrows=4, ncols=1, height_ratios=[0.001, 1, 1, 2], + hspace=0.7, top=1, bottom=0.08) + +ax0 = fig.add_subplot(gs[0]) +ax1 = fig.add_subplot(gs[1]) +ax2 = fig.add_subplot(gs[2]) + +subg = gs[3].subgridspec(2, 1, hspace = 0) +ax3 = fig.add_subplot(subg[0]) +ax4 = fig.add_subplot(subg[1]) +ax4.sharex(ax3) + +ax0.axis('off') +xran = np.arange(0,1400,200) +xlim = [0,1200] +yran = np.arange(0,250,50) +ylim = [0,200] + +ax = [ax1, ax2, ax3] +for j,_ in enumerate(ax): + ax[j].xaxis.set_tick_params(labelbottom=True) + ax[j].set_xticks(xran) + ax[j].set_xlim(xlim) + ax[j].set_yticks(yran) + +ax1.set_title('Métodos clássicos - implementação básica') +ax1.plot(y, linewidth=lw) +ax1.grid(linestyle=':') +ax1.set_ylabel(unit, fontsize=6) +ax1.tick_params(axis='both', labelsize=6) + +y0,y1 = ax1.get_ylim() +y2=0.9*y1 +d = (y2-y0)/4 +y0 = y0+20 +for i,m in enumerate(basic_list): + CP = CP_dict[m] + for cp in CP: + ax1.axvline(cp, color='r', alpha=0.5, linewidth=0.5) + ax1.plot(cp, y0+i*d, + marker=markers_dict[method_name(m)], + markersize=3, + color='r') + +ax2.set_title('Métodos clássicos - proposta') +ax2.plot(y, linewidth=lw) +ax2.grid(linestyle=':') +ax2.set_ylabel(unit, fontsize=6) +ax2.tick_params(axis='both', labelsize=6) +for i,m in enumerate(seq_ps_list): + CP = CP_dict[m] + for cp in CP: + ax2.axvline(cp, color='r', linestyle='-', alpha=0.5, linewidth=0.5) + ax2.plot(cp, y0+i*d, + marker=markers_dict[method_name(m)], + markersize=3, + color='r') + +ax3.set_title('Voting Windows') +ax3.plot(y, linewidth=lw) +ax3.grid(linestyle=':') +ax3.set_ylabel(unit, fontsize=6) +ax3.tick_params(axis='both', labelsize=6) +ax3.tick_params(labelbottom=False) +CP = CP_dict['vwcd'] +for cp in CP: + ax3.axvline(cp, color='r', linestyle='-', alpha=0.5, linewidth=0.5) + ax3.plot(cp, y0+2*d, + marker=markers_dict['VWCD'], + markersize=3, + color='r') + +markerline, stemline, baseline = ax4.stem(num_votes_t, num_votes_nonzero) +plt.setp(markerline, markersize = 3) +plt.setp(baseline, linewidth=0) +plt.setp(stemline, linewidth=0.5) +ax4.set_xlabel('amostras', fontsize=6) +ax4.set_ylabel('Número de votos', fontsize=6, labelpad=7) +ax4.tick_params(axis='both', labelsize=6) +ax4.grid(linestyle=':') + +# legenda +lines_leg = [mlines.Line2D([], [], + color='r', + marker=markers_dict[m], + linewidth=0, + markersize=3, + label=m) for m in methods_name_list] + +_ = ax0.legend(handles=lines_leg, + loc='upper center', + ncol=5, + fontsize=6, + handletextpad=0.01, + columnspacing=0.5) + +plt.savefig('pdf/client3_rnpsp_urtt.pdf', format='pdf') + + +#%% Figura 4b - Cliente 6, rnp-rj, down throughput +client = clients[5] +site = sites[7] +serie = series_type[0] +file = f'{client}_{site}_{serie}.txt' +y = np.loadtxt(f'../dataset/{file}', usecols=1, delimiter=',') +N = len(y) +num_votes = get_vwcd_votes(y) +num_votes_t = np.where(num_votes)[0] +num_votes_nonzero = num_votes[num_votes_t] + +# Formatters +lw = 0.5 # linewidth to plot +unit = 'Mbits/s' +markers_dict = { + 'Shewhart' :'x', + 'EWMA': 's', + '2S-CUSUM': '^', + 'WL-CUSUM': 'v', + 'VWCD': '>'} + +# Load the list of changepoints (not empty) for each method +df_ = df[(df.client==client) & + (df.site==site) & + (df.serie==serie) & + (df.CP.str.len() != 0)] + +# dict of methods chagepoint list +CP_dict = dict(df_[['method', 'CP']].to_dict(orient='split')['data']) + +basic_list = df_[df_.method.isin(methods_ba)].method.unique() +seq_ps_list = df_[df_.method.isin(methods_ps)].method.unique() +methods_name_list = df_.method_name.unique() + +fig = plt.figure(figsize=(3.2, 4.5), layout='constrained') + +gs = GridSpec(nrows=4, ncols=1, height_ratios=[0.001, 1, 1, 2], + hspace=0.7, top=1, bottom=0.08) + +ax0 = fig.add_subplot(gs[0]) +ax1 = fig.add_subplot(gs[1]) +ax2 = fig.add_subplot(gs[2]) + +subg = gs[3].subgridspec(2, 1, hspace = 0) +ax3 = fig.add_subplot(subg[0]) +ax4 = fig.add_subplot(subg[1]) +ax4.sharex(ax3) + +ax0.axis('off') +xran = np.arange(0,1400,200) +xlim = [0,1200] +yran = np.arange(0,250,50) +ylim = [0,200] + +ax = [ax1, ax2, ax3] +for j,_ in enumerate(ax): + ax[j].xaxis.set_tick_params(labelbottom=True) + ax[j].set_xticks(xran) + ax[j].set_xlim(xlim) + +ax1.set_title('Métodos clássicos - implementação básica') +ax1.plot(y, linewidth=lw) +ax1.grid(linestyle=':') +ax1.set_ylabel(unit, fontsize=6) +ax1.tick_params(axis='both', labelsize=6) + +y0,y1 = ax1.get_ylim() +y2=0.9*y1 +d = (y2-y0)/4 +y0 = y0+20 +for i,m in enumerate(basic_list): + CP = CP_dict[m] + for cp in CP: + ax1.axvline(cp, color='r', alpha=0.5, linewidth=0.5) + ax1.plot(cp, y0+i*d, + marker=markers_dict[method_name(m)], + markersize=3, + color='r') + +ax2.set_title('Métodos clássicos - proposta') +ax2.plot(y, linewidth=lw) +ax2.grid(linestyle=':') +ax2.set_ylabel(unit, fontsize=6) +ax2.tick_params(axis='both', labelsize=6) +for i,m in enumerate(seq_ps_list): + CP = CP_dict[m] + for cp in CP: + ax2.axvline(cp, color='r', linestyle='-', alpha=0.5, linewidth=0.5) + ax2.plot(cp, y0+i*d, + marker=markers_dict[method_name(m)], + markersize=3, + color='r') + +ax3.set_title('Voting Windows') +ax3.plot(y, linewidth=lw) +ax3.grid(linestyle=':') +ax3.set_ylabel(unit, fontsize=6) +ax3.tick_params(axis='both', labelsize=6) +ax3.tick_params(labelbottom=False) +CP = CP_dict['vwcd'] +for cp in CP: + ax3.axvline(cp, color='r', linestyle='-', alpha=0.5, linewidth=0.5) + ax3.plot(cp, y0+2*d, + marker=markers_dict['VWCD'], + markersize=3, + color='r') + +markerline, stemline, baseline = ax4.stem(num_votes_t, num_votes_nonzero) +plt.setp(markerline, markersize = 3) +plt.setp(baseline, linewidth=0) +plt.setp(stemline, linewidth=0.5) +ax4.set_xlabel('amostras', fontsize=6) +ax4.set_ylabel('Número de votos', fontsize=6, labelpad=7) +ax4.tick_params(axis='both', labelsize=6) +ax4.grid(linestyle=':') + +# Legenda +lines_leg = [mlines.Line2D([], [], + color='r', + marker=markers_dict[m], + linewidth=0, + markersize=3, + label=m) for m in methods_name_list] + +_ = ax0.legend(handles=lines_leg, + loc='upper center', + ncol=5, + fontsize=6, + handletextpad=0.01, + columnspacing=0.5) + +plt.savefig('pdf/client6_rnprj_dthr.pdf', format='pdf') \ No newline at end of file diff --git a/paper_figures/shewhart_basic.py b/paper_figures/shewhart_basic.py new file mode 100644 index 0000000..de96e0d --- /dev/null +++ b/paper_figures/shewhart_basic.py @@ -0,0 +1,88 @@ +# -*- coding: utf-8 -*- +""" +Figura 1a - Shewhart - método básico +@author: Cleiton Moya de Almeida +""" + +import numpy as np +import matplotlib.pyplot as plt +from matplotlib.patches import Rectangle +import time + +plt.rcParams.update({'font.size': 8, 'axes.titlesize': 8}) + +# Data loading +file = 'e45f01963c21_gig03_u_throughput.txt' +y = np.loadtxt(f'../dataset/{file}', usecols=1, delimiter=',')[:530] + +verbose = False + +# Hyperparameters +w = 20 # estimating window size +k = 3 # kappa + +# Auxiliary variables +CP = [] +lcp = 0 +dev = False +Mu0 = [] +U = [] +L = [] + +startTime = time.time() +for t, y_t in enumerate(y): + + if t >= lcp + w: + + if t==lcp+w: + mu0 = y[lcp:t].mean() + s0 = y[lcp:t].std() + if verbose: print(f't={t}: mu0={mu0}, s0={s0}') + + # lower and upper control limits + l = mu0 - k*s0 + u = mu0 + k*s0 + + # Shewhart statistic deviation checking + dev = y_t>=u or y_t<=l + + if dev: + lcp = t + if verbose: print(f't={t}: Changepoint at t={lcp}') + CP.append(lcp) + dev = False + + else: + mu0 = np.nan + l = np.nan + u = np.nan + + Mu0.append(mu0) + U.append(u) + L.append(l) +endTime = time.time() +elapsedTime = endTime-startTime + + +fig, ax = plt.subplots(figsize=(3,2.5)) +ax.plot(y, linewidth=0.5) +ax.plot(Mu0, linewidth=0.5, color='green', label=r'$\hat{\mu}_0$') +ax.plot(U, linestyle='--', linewidth=0.5, color='r', label='$\hat{\mu}_0 \pm \kappa \hat{\sigma}_0$') +ax.plot(L, linestyle='--', linewidth=0.5, color='r') +ax.set_ylim([0, 500]) +ax.set_xlim([0, 600]) +ax.grid(linestyle=':') + +ymin0, ymax0 = ax.get_ylim() +ax.add_patch(Rectangle((0, ymin0), w, ymax0-ymin0, color='gray', alpha=0.2, linewidth=0, label='inferência')) +for j,cp in enumerate(CP): + if j==0: + ax.axvline(cp, color='r', label='change+point') + else: + ax.axvline(cp, color='r') + ax.add_patch(Rectangle((cp, ymin0), w, ymax0-ymin0, color='gray', alpha=0.2, linewidth=0)) +ax.legend(loc='upper center') +ax.set_xlabel('Amostra') +ax.set_ylabel('Vazão de upload (Mbits/s)') +plt.tight_layout() +plt.savefig('pdf/shewhart_basic.pdf', format='pdf') diff --git a/paper_figures/shewhart_proposed.py b/paper_figures/shewhart_proposed.py new file mode 100644 index 0000000..831af6a --- /dev/null +++ b/paper_figures/shewhart_proposed.py @@ -0,0 +1,207 @@ +# -*- coding: utf-8 -*- +""" +Figura 1a - Shewhart - método proposto +@author: Cleiton Moya de Almeida +""" + +import numpy as np +import matplotlib.pyplot as plt +from matplotlib.patches import Rectangle +from scipy.stats import shapiro +from statsmodels.tsa.stattools import adfuller +import time + +plt.rcParams.update({'font.size': 8, 'axes.titlesize': 8}) + +# Data loading +file = 'e45f01963c21_gig03_u_throughput.txt' +y = np.loadtxt(f'../dataset/{file}', usecols=1, delimiter=',')[:530] + +verbose = True + +# Shapiro-Wilk normality test +# H0: normal distribution +def normality_test(y, alpha): + _,pvalue = shapiro(y) + return pvalue > alpha + +# Augmented Dickey-Fuller test for unitary root (non-stationarity) +# H0: the process has a unit root (non-stationary) +def stationarity_test(y, alpha): + adf = adfuller(y) + pvalue = adf[1] + return pvalue < alpha + +# Commom hyperparameters +w = 20 # estimating window size +rl = 4 # consecutive deviations to consider a changepoint +ka = 6 # kappa for anomaly +alpha_norm = 0.01 # normality test significace level +alpha_stat = 0.05 # stationarity test significance level +cs_max = 5 # maximum counter for process not stabilized +filt_per = 0.95 # outlier filtering percentil (first window or not. estab.) +max_var = 1.2 # maximum increased variance allowed to consider stab. + +# Shewhart hyperparameter +k = 3 # kappa for statistic deviation + +# Auxiliary variables initialization +CP = [] # changepoint list +Anom_u = [] # up point anomalies list +Anom_l = [] # low point anomalie list +lcp = 0 # last check point (different from changepoint) +win_t0 = 0 # learning window t0 +Win_period = [] # stabilization/learning windows +c = 0 # statistic deviation counter +ca_u = 0 # up point up counter +ca_l = 0 # low point anomaly counter +cs = 0 # stabilization counter +Mu0 = [] # phase 1 estimated mu0 at each t +M0_unique = [] # phase 1 estimated mu0 after each changepoint +Sigma0 = [] # phase 1 estimated sigma0 +S0_unique = [] # phase 1 estimated sigma0 after each changepoint +U = [] # upper control limit at each t +L = [] # lower control limit at each t + +startTime = time.time() +for t, y_t in enumerate(y): + + if (t >= lcp + w): + + # At process beginning and after a changepoint, + # check if the process is stable before estimating the parameters + if t==lcp+w: + yw = y[lcp+1:t+1] + + # Shapiro-Wiltker test for normality + normality = normality_test(yw, alpha_norm) + + # Check if the variance level increasing is acceptable + # If its the first window, accept blindly, but filter possible outliers + # before estimating the mu0, s0 + first_window = len(Win_period) == 0 + sw = yw.std(ddof=1) + if not first_window: + sa = S0_unique[-1] + dev_var = abs(sw - sa)/sa + var_acept = dev_var <= max_var + else: + var_acept = True + yw = yw[(yw>np.quantile(yw,1-filt_per)) & (ywnp.quantile(yw,1-filt_per)) & (yw= mu0 + ka*s0 + anom_l = y_t <= mu0 - ka*s0 + if anom_u: + Anom_u.append(t) + if anom_l: + Anom_l.append(t) + + # Check for statistic deviation + dev = abs(y_t-mu0) >= k*s0 + + if dev: + if anom_u: + ca_u = ca_u+1 + elif anom_l: + ca_l = ca_l+1 + + c = c+1 + + if c==rl: + lcp = t-rl+1 # last check point + win_t0 = lcp # learning window t0 + if verbose: print(f'n={t}: Changepoint at t={lcp-1}') + CP.append(lcp-1) + if ca_u > 0: + Anom_u = Anom_u[:-ca_u] + if ca_l > 0: + Anom_l = Anom_l[:-ca_l] + c = 0 + ca_u = 0 + ca_l = 0 + else: + c = 0 + ca_u = 0 + ca_l = 0 + + else: + mu0 = np.nan + s0 = np.nan + l = np.nan + u = np.nan + + Mu0.append(mu0) + Sigma0.append(s0) + U.append(u) + L.append(l) +endTime = time.time() +elapsedTime = endTime-startTime + + +fig, ax = plt.subplots(figsize=(3,2.5)) +ax.plot(y, linewidth=0.5) +ax.plot(U, linewidth=0.5, linestyle='--', color='r', label=r'$\hat{\mu}_0\pm \kappa \hat{\sigma}_0$') +ax.plot(L, linewidth=0.5, linestyle='--', color='r') +ax.set_ylim([0, 500]) +ax.set_xlim([0, 600]) +ax.grid(linestyle=':') + +ymin0, ymax0 = ax.get_ylim() +ax.scatter(Anom_u, y[Anom_u], marker='.', color='r', label='anomalia') +ax.scatter(Anom_l, y[Anom_l], marker='.', color='r') +for j,cp in enumerate(CP): + if j==0: + ax.axvline(cp, color='r', label='change-point') + else: + ax.axvline(cp, color='r') + +for j,(lcp,wt) in enumerate(Win_period): + if j==0: + ax.add_patch(Rectangle((lcp, ymin0), wt-lcp, ymax0-ymin0, color='gray', alpha=0.2, linewidth=0, label='inferência')) + else: + ax.add_patch(Rectangle((lcp, ymin0), wt-lcp, ymax0-ymin0, color='grey', alpha=0.2, linewidth=0)) +ax.legend(loc='upper center') +ax.set_xlabel('Amostra') +ax.set_ylabel('Vazão de upload (Mbits/s)') +plt.tight_layout() +plt.savefig('pdf/shewhart_proposed.pdf', format='pdf')