pyFTS/GOOGLE COLAB - Benchmarks.ipynb
2018-05-18 14:58:52 -03:00

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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Benchmarks.ipynb",
"version": "0.3.2",
"provenance": [],
"toc_visible": true
},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"[View in Colaboratory](https://colab.research.google.com/github/petroniocandido/pyFTS/blob/master/GOOGLE%20COLAB%20-%20Benchmarks.ipynb)"
]
},
{
"metadata": {
"id": "WHN-tefYEJsD",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# Example of Computational Experiments"
]
},
{
"metadata": {
"id": "msOApqBqEJsG",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## For running on Colab"
]
},
{
"metadata": {
"id": "tJ_He1u8EJsI",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 315
},
"outputId": "f0c2390a-61e4-4dcf-d412-de6f907472bd"
},
"cell_type": "code",
"source": [
"!pip3 install -U git+https://github.com/petroniocandido/pyFTS\n",
"!git clone https://github.com/petroniocandido/stac"
],
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": [
"Collecting git+https://github.com/petroniocandido/pyFTS\r\n",
" Cloning https://github.com/petroniocandido/pyFTS to /tmp/pip-req-build-qz5k03k2\n",
"Building wheels for collected packages: pyFTS\n",
" Running setup.py bdist_wheel for pyFTS ... \u001b[?25l-\b \b\\\b \bdone\n",
"\u001b[?25h Stored in directory: /tmp/pip-ephem-wheel-cache-6e0g6d7u/wheels/84/d7/1e/a333c7128f25b347640740859808db094c4478e98663cd2297\n",
"Successfully built pyFTS\n",
"Installing collected packages: pyFTS\n",
" Found existing installation: pyFTS 1.2.2\n",
" Uninstalling pyFTS-1.2.2:\n",
" Successfully uninstalled pyFTS-1.2.2\n",
"Successfully installed pyFTS-1.2.2\n",
"Cloning into 'stac'...\n",
"remote: Counting objects: 2238, done.\u001b[K\n",
"remote: Total 2238 (delta 0), reused 0 (delta 0), pack-reused 2238\u001b[K\n",
"Receiving objects: 100% (2238/2238), 23.62 MiB | 33.27 MiB/s, done.\n",
"Resolving deltas: 100% (1147/1147), done.\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "07JlvCoVEJsT",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Common Imports"
]
},
{
"metadata": {
"id": "nNQThkh6EJsW",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "1102cb5f-8bbf-4b39-bc03-d507a65d5b4e"
},
"cell_type": "code",
"source": [
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pylab as plt\n",
"import seaborn as sns\n",
"\n",
"%pylab inline"
],
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "-gVJot92EJsj",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Common data transformations"
]
},
{
"metadata": {
"id": "eVYEnD-sEJsl",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 17
},
"outputId": "d90cb43a-7de9-4e4f-ea3c-9772d5f49a40"
},
"cell_type": "code",
"source": [
"from pyFTS.common import Transformations\n",
"\n",
"tdiff = Transformations.Differential(1)\n",
"\n",
"boxcox = Transformations.BoxCox(0)"
],
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"id": "AXXcR7rtEJsq",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Import Datasets"
]
},
{
"metadata": {
"id": "4AdDygckEJss",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 17
},
"outputId": "3a5853c8-3b60-47ef-bc8f-eaafec1b9dbc"
},
"cell_type": "code",
"source": [
"from pyFTS.data import TAIEX, NASDAQ, SP500\n",
"\n",
"dataset_names = [\"TAIEX\", \"SP500\",\"NASDAQ\"]\n",
"\n",
"def get_dataset(name):\n",
" if dataset_name == \"TAIEX\":\n",
" return TAIEX.get_data()\n",
" elif dataset_name == \"SP500\":\n",
" return SP500.get_data()[11500:16000]\n",
" elif dataset_name == \"NASDAQ\":\n",
" return NASDAQ.get_data()\n",
"\n",
"\n",
"train_split = 2000\n",
"test_length = 200"
],
"execution_count": 4,
"outputs": []
},
{
"metadata": {
"id": "QkMC3pyQEJs0",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 463
},
"outputId": "0eda18dc-fbd3-407f-ab9f-56a30cc6fd40"
},
"cell_type": "code",
"source": [
"fig, ax = plt.subplots(nrows=3, ncols=3, figsize=[15,7])\n",
"\n",
"for count,dataset_name in enumerate(dataset_names):\n",
" dataset = get_dataset(dataset_name)\n",
" dataset_diff = tdiff.apply(dataset)\n",
" dataset_boxcox = boxcox.apply(dataset)\n",
"\n",
" ax[0][count].plot(dataset)\n",
" ax[1][count].plot(dataset_diff)\n",
" ax[2][count].plot(dataset_boxcox)\n",
" ax[0][count].set_title(dataset_name)"
],
"execution_count": 5,
"outputs": [
{
"output_type": "display_data",
"data": {
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8qWtsHjTVNU57ZHbAPtltsrzaenTNpaCgLVXV9dz86GxOG9+TD2Zp0VHdCnIo7NTOa59o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WW31pZ7A6kN5QW9+M257/ybZf2MOIayZ2t+3Hx0ahvrEFC2f2bgvzCIIgdOH4mVrN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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff86cecce10>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "KEv4ilhoEJs-",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Batch computational experiments with sliding_window_benchmarks\n",
"\n",
"The **benchmarks.sliding_window_benchmarks** is a method that executes sliding window experiments on batch and store its results on a Sqlite3 database for posterior analysis. \n",
"\n",
"For each data window, a train and test datasets will be splitted. For each train split, number of partitions and partitioning method will be created a partitioner model. And for each partitioner, order, steps ahead and FTS method a foreasting model will be trained. The number of experiments is determined by 'windowsize' and 'inc' parameters.\n",
" \n",
" Then all trained models are benchmarked on the test data and the metrics are stored on a sqlite3 database (identified by the 'file' parameter) for posterior analysis.\n",
" \n",
" All these process can be distributed on a dispy cluster, setting the atributed 'distributed' to true and informing the list of dispy nodes on 'nodes' parameter. \n",
" \n",
"**Mandatory Parameters**\n",
"\n",
" - **data**: test data\n",
" - **windowsize**: size of sliding window\n",
" - **train**: percentual of sliding window data used to train the models\n",
"\n",
"**kwargs optional arguments**\n",
" \n",
" - **benchmark_methods**: a list with Non FTS models to benchmark. The default is None.\n",
" - **benchmark_methods_parameters**: a list with Non FTS models parameters. The default is None.\n",
" - **dataset**: the dataset name to identify the current set of benchmarks results on database.\n",
" - **distributed**: A boolean value indicating if the forecasting procedure will be distributed in a dispy cluster. . The default is False\n",
" - **file**: file path to save the results. The default is benchmarks.db.\n",
" - **inc**: a float on interval [0,1] indicating the percentage of the windowsize to move the window\n",
" - **methods**: a list with FTS class names. The default depends on the forecasting type and contains the list of all FTS methods.\n",
" - **models**: a list with prebuilt FTS objects. The default is None.\n",
" - **nodes**: a list with the dispy cluster nodes addresses. The default is [127.0.0.1].\n",
" - **orders**: a list with orders of the models (for high order models). The default is [1,2,3].\n",
" - **partitions**: a list with the numbers of partitions on the Universe of Discourse. The default is [10].\n",
" - **partitioners_models**: a list with prebuilt Universe of Discourse partitioners objects. The default is None.\n",
" - **partitioners_methods**: a list with Universe of Discourse partitioners class names. The default is [partitioners.Grid.GridPartitioner].\n",
" - **progress**: If true a progress bar will be displayed during the benchmarks. The default is False.\n",
" - **start**: in the multi step forecasting, the index of the data where to start forecasting. The default is 0.\n",
" - **steps_ahead**: a list with the forecasting horizons, i. e., the number of steps ahead to forecast. The default is 1.\n",
" - **tag**: a name to identify the current set of benchmarks results on database.\n",
" - **type**: the forecasting type, one of these values: point(default), interval or distribution. The default is point.\n",
" - **transformations**: a list with data transformations do apply . The default is [None].\n",
"\n",
"The default file database name is 'benchmarks.db', and it contains a table named 'benchmarks' with the below schema:\n",
"\n",
"|Field|Type|Description|\n",
"|-------|--------|-----------------|\n",
"|ID|integer|incremental primary key|\n",
"|Date| datetime |Date/hour of benchmark execution|\n",
"|Dataset|text| Identify on which dataset the dataset was performed|\n",
"|Tag|text| a user defined word that indentify a benchmark set|\n",
"|Type|varchar| forecasting type (point, interval, distribution)|\n",
"|Model|varchar| FTS model|\n",
"|Transformation|varchar| The name of data transformation, if one was used|\n",
"|Order|integer| the order of the FTS method |\n",
"|Scheme|text|UoD partitioner|\n",
"|Partitions|integer| Number of partitions|\n",
"|Size|integer| Number of rules of the FTS model |\n",
"|Steps|integer| prediction horizon, i. e., the number of steps ahead|\n",
"|Measure|varchar| accuracy measure|\n",
"|Value|real| the measure value|\n",
"\n",
"Know the sliding_window_benchmarks options:"
]
},
{
"metadata": {
"id": "-I4BAgQ3EJtB",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 17
},
"outputId": "9ea5fd94-112d-4fef-b284-26eccb964b58"
},
"cell_type": "code",
"source": [
"from pyFTS.benchmarks import benchmarks as bchmk\n"
],
"execution_count": 6,
"outputs": []
},
{
"metadata": {
"id": "cmRHpToLEJtJ",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Partitioning optimization by dataset\n",
"\n",
"**CAUTION**: This task is computationally expensive and take several hours to be performed. We strongly recommend to use the distributed version with a dispy cluster."
]
},
{
"metadata": {
"id": "UiM-chLmEJtL",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 17
},
"outputId": "2bec6dc3-ad64-4b35-f398-925496271d3c"
},
"cell_type": "code",
"source": [
"from pyFTS.partitioners import Grid, Util as pUtil\n",
"from pyFTS.benchmarks import benchmarks as bchmk\n",
"from pyFTS.models import chen,yu\n",
"\n",
"tag = 'partitioning'\n",
"_type = 'point'\n",
"\n",
"for dataset_name in dataset_names:\n",
" dataset = get_dataset(dataset_name)\n",
"\n",
" bchmk.sliding_window_benchmarks(dataset, 1000, train=0.8, inc=0.2,\n",
" methods=[chen.ConventionalFTS, yu.WeightedFTS],\n",
" benchmark_models=False,\n",
" transformations=[None],\n",
" partitions=np.arange(10,100,2), \n",
" progress=False, type=_type,\n",
" #distributed=True, nodes=['192.168.0.110', '192.168.0.107','192.168.0.106'],\n",
" file=\"benchmarks.db\", dataset=dataset_name, tag=tag)\n",
"\n",
" bchmk.sliding_window_benchmarks(dataset[:2000], 1000, train=0.8, inc=0.2,\n",
" methods=[chen.ConventionalFTS, yu.WeightedFTS],\n",
" benchmark_models=False,\n",
" transformations=[tdiff],\n",
" partitions=np.arange(3,30,1), \n",
" progress=False, type=_type,\n",
" #distributed=True, nodes=['192.168.0.110', '192.168.0.107', '192.168.0.106'],\n",
" file=\"benchmarks.db\", dataset=dataset_name, tag=tag)\n"
],
"execution_count": 7,
"outputs": []
},
{
"metadata": {
"id": "Ye-pCHnHEJtX",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 749
},
"outputId": "bf7fd0b7-07a2-46ab-96f9-50a95cce7628"
},
"cell_type": "code",
"source": [
"from pyFTS.benchmarks import Util as bUtil\n",
"\n",
"\n",
"fig, ax = plt.subplots(nrows=3, ncols=2, figsize=[20,10])\n",
"df1 = bUtil.get_dataframe_from_bd(\"benchmarks.db\",\n",
" \"tag = 'partitioning' and measure = 'rmse'and transformation is null\")\n",
"\n",
"df2 = bUtil.get_dataframe_from_bd(\"benchmarks.db\",\n",
" \"tag = 'partitioning' and measure = 'rmse' and transformation is not null\")\n",
"\n",
"for count,dataset_name in enumerate(dataset_names):\n",
" \n",
" tmp1 = df1[(df1.Dataset == dataset_name)]\n",
" tmp2 = df2[(df2.Dataset == dataset_name)]\n",
" \n",
" axis = ax[count][0]\n",
"\n",
"\n",
" g1 = sns.boxplot(x='Partitions', y='Value', hue='Model', data=tmp1, showfliers=False, ax=axis, \n",
" palette=\"Set3\")\n",
" axis.set_title(\"Original data\")\n",
" axis.set_ylabel(dataset_name)\n",
" axis.set_xlabel(\"\")\n",
" \n",
" axis = ax[count][1]\n",
"\n",
" g2 = sns.boxplot(x='Partitions', y='Value', hue='Model', data=tmp2, showfliers=False, ax=axis, \n",
" palette=\"Set3\")\n",
" axis.set_title(\"Differentiated data\")\n",
" axis.set_ylabel(\"RMSE\")\n",
" axis.set_xlabel(\"Number of partitions of the UoD\")\n",
" \n",
"plt.tight_layout()"
],
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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wdmA+8Lf8LFc5534QRl25NF+JEREREZGW1AY459zFZnYBcB7wWJl5qlq3bpDR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\nUa0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"text/plain": [
"<matplotlib.figure.Figure at 0x7ff865c84550>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "5ZjskQyuYAwz",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}