Repository: crawles/automl_service
Branch: master
Commit: b8fe66e6e69e
Files: 20
Total size: 8.4 MB
Directory structure:
gitextract_hy50erba/
├── .gitignore
├── LICENSE.txt
├── README.md
├── automl_service.py
├── conftest.py
├── data/
│ ├── data_test.json
│ ├── data_train.json
│ ├── label_test.json
│ └── label_train.json
├── environment.yml
├── manifest.yml
├── modelling_and_usage.ipynb
├── parameters/
│ ├── test_parameters.yml
│ ├── test_parameters_model2.yml
│ ├── train_parameters.yml
│ ├── train_parameters_model2.yml
│ └── train_parameters_model3.yml
├── resources.py
├── test_api.py
└── utilities.py
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FILE CONTENTS
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FILE: .gitignore
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# Created by .ignore support plugin (hsz.mobi)
### Python template
# Byte-compiled / optimized / DLL files
__pycache__/
*.py[cod]
*$py.class
# Jupyter Notebook
.ipynb_checkpoints
# PyCharm
.cache
.idea
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FILE: LICENSE.txt
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The MIT License (MIT)
Copyright (c) 2017 Chris Rawles, Pivotal
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.
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FILE: README.md
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# AutoML Service
Deploy automated machine learning (AutoML) as a service using `Flask`, for both pipeline training and pipeline serving.
The framework implements a fully automated time series classification pipeline, automating both feature engineering and model selection and optimization using Python libraries, `TPOT` and `tsfresh`.
Check out the [blog post](https://content.pivotal.io/blog/automated-machine-learning-deploying-automl-to-the-cloud) for more info.
Resources:
- [TPOT](https://github.com/rhiever/tpot)– Automated feature preprocessing and model optimization tool
- [tsfresh](https://github.com/blue-yonder/tsfresh)– Automated time series feature engineering and selection
- [Flask](http://flask.pocoo.org/)– A web development microframework for Python
## Architecture
The application exposes both model training and model predictions with a RESTful API. For model training, input data and labels are sent via POST request, a pipeline is trained, and model predictions are accessible via a prediction route.
Pipelines are stored to a unique key, and thus, live predictions can be made on the same data using different feature construction and modeling pipelines.
An automated pipeline for time-series classification.
The model training logic is exposed as a REST endpoint. Raw, labeled training data is uploaded via a POST request and an optimal model is developed.
Raw training data is uploaded via a POST request and a model prediction is returned.
## Using the app
View the [Jupyter Notebook](https://github.com/crawles/automl_service/blob/master/modelling_and_usage.ipynb) for an example.
### Deploying
```bash
# deploy locally
python automl_service.py
```
```bash
# deploy on cloud foundry
cf push
```
### Usage
Train a pipeline:
```python
train_url = 'http://0.0.0.0:8080/train_pipeline'
train_files = {'raw_data': open('data/data_train.json', 'rb'),
'labels' : open('data/label_train.json', 'rb'),
'params' : open('parameters/train_parameters_model2.yml', 'rb')}
# post request to train pipeline
r_train = requests.post(train_url, files=train_files)
result_df = json.loads(r_train.json())
```
returns:
```python
{'featureEngParams': {'default_fc_parameters': "['median', 'minimum', 'standard_deviation',
'sum_values', 'variance', 'maximum',
'length', 'mean']",
'impute_function': 'impute',
...},
'mean_cv_accuracy': 0.865,
'mean_cv_roc_auc': 0.932,
'modelId': 1,
'modelType': "Pipeline(steps=[('stackingestimator', StackingEstimator(estimator=LinearSVC(...))),
('logisticregression', LogisticRegressionClassifier(solver='liblinear',...))])"
'trainShape': [1647, 8],
'trainTime': 1.953}
```
Serve pipeline predictions:
```python
serve_url = 'http://0.0.0.0:8080/serve_prediction'
test_files = {'raw_data': open('data/data_test.json', 'rb'),
'params' : open('parameters/test_parameters_model2.yml', 'rb')}
# post request to serve predictions from trained pipeline
r_test = requests.post(serve_url, files=test_files)
result = pd.read_json(r_test.json()).set_index('id')
```
| example_id | prediction |
| ------------- | ------------- |
| 1 | 0.853 |
| 2 | 0.991 |
| 3 | 0.060 |
| 4 | 0.995 |
| 5 | 0.003 |
| ... | ... |
View all trained models:
```python
r = requests.get('http://0.0.0.0:8080/models')
pipelines = json.loads(r.json())
```
```python
{'1':
{'mean_cv_accuracy': 0.873,
'modelType': "RandomForestClassifier(...),
...},
'2':
{'mean_cv_accuracy': 0.895,
'modelType': "GradientBoostingClassifier(...),
...},
'3':
{'mean_cv_accuracy': 0.859,
'modelType': "LogisticRegressionClassifier(...),
...},
...}
```
## Running the tests
Supply a user argument for the host.
```bash
# use local app
py.test --host http://0.0.0.0:8080
```
```bash
# use cloud-deployed app
py.test --host http://ROUTE-HERE
```
## Scaling the architecture
For production, I would suggest splitting training and serving into seperate applications, and incorporating a fascade API. Also it would be best to use a shared cache such as Redis or Pivotal Cloud Cache to allow other applications and multiple instances of the pipeline to access the trained model. Here is a potential architecture.
A scalable model training and model serving architecture.
## Author
`Chris Rawles`
================================================
FILE: automl_service.py
================================================
# -*- coding: utf-8 -*-
"""
automl_service.py
~~~~~~~~~~~~~~~~~
App implements an automl pipeline.
"""
import os
import json
from flask import Flask, request, jsonify
import numpy as np
import pandas as pd
import requests
import sklearn
import resources
from flask_restful import reqparse, abort, Api, Resource
from utilities import build_features, read_file, read_params,\
train_model, ModelFactory
app = Flask(__name__)
api = Api(app)
model_factory = ModelFactory()
api.add_resource(resources.Train, '/train_pipeline',
resource_class_kwargs={'model_factory': model_factory})
api.add_resource(resources.ServePrediction, '/serve_prediction',
resource_class_kwargs={'model_factory': model_factory})
api.add_resource(resources.Models, '/models',
resource_class_kwargs={'model_factory': model_factory})
# note: not used if using gunicorn
if __name__ == "__main__":
if os.environ.get('VCAP_SERVICES') is None: # running locally
PORT = 8080
DEBUG = True
else: # running on CF
PORT = int(os.getenv("PORT"))
DEBUG = False
app.run(host='0.0.0.0', port=PORT, debug=DEBUG)
================================================
FILE: conftest.py
================================================
def pytest_addoption(parser):
parser.addoption("--host", action="store",
help="run all combinations")
def pytest_generate_tests(metafunc):
if 'host' in metafunc.fixturenames:
option_value = metafunc.config.option.host
print option_value
if option_value:
metafunc.parametrize("host", [option_value])
================================================
FILE: data/data_test.json
================================================
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================================================
FILE: environment.yml
================================================
name: automl_dependencies
dependencies:
- python=2.7.13
- pandas==0.20.3
- Flask==0.11.1
- pytest==2.9.2
- numpy==1.13.1
- scikit-learn==0.19.0
- Werkzeug==0.12.2
- PyYAML==3.12
- pip:
- Flask_RESTful==0.3.6
- gunicorn==19.7.1
- requests==2.18.3
- TPOT==0.8.3
- tsfresh==0.9.0
================================================
FILE: manifest.yml
================================================
---
applications:
- name: automl
memory: 1GB
disk_quota: 2GB
instances: 1
buildpack: https://github.com/cloudfoundry/python-buildpack.git
command: gunicorn --bind 0.0.0.0:$PORT -t 0 automl_service:app
================================================
FILE: modelling_and_usage.ipynb
================================================
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# AutoML service"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:25:21.216630Z",
"start_time": "2017-09-08T19:25:18.892595Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/crawles/anaconda/lib/python2.7/site-packages/statsmodels/compat/pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n",
" from pandas.core import datetools\n",
"/Users/crawles/anaconda/lib/python2.7/site-packages/sklearn/cross_validation.py:41: DeprecationWarning: This module was deprecated in version 0.18 in favor of the model_selection module into which all the refactored classes and functions are moved. Also note that the interface of the new CV iterators are different from that of this module. This module will be removed in 0.20.\n",
" \"This module will be removed in 0.20.\", DeprecationWarning)\n"
]
}
],
"source": [
"%matplotlib inline\n",
"import json\n",
"import matplotlib.pylab as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"import pprint\n",
"import requests\n",
"import seaborn as sns\n",
"from sklearn.metrics import roc_auc_score\n",
"import tsfresh\n",
"\n",
"from tsfresh.examples.har_dataset import download_har_dataset, load_har_dataset, load_har_classes\n",
"from tsfresh import extract_features, extract_relevant_features, select_features\n",
"from tsfresh.utilities.dataframe_functions import impute\n",
"from tsfresh.feature_extraction import ComprehensiveFCParameters, MinimalFCParameters\n",
"from sklearn.tree import DecisionTreeClassifier\n",
"from sklearn.cross_validation import train_test_split\n",
"from sklearn.metrics import classification_report\n",
"\n",
"import logging"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Start service"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:25:21.258490Z",
"start_time": "2017-09-08T19:25:21.218532Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"# python automl_service:app"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Prep"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:25:21.899040Z",
"start_time": "2017-09-08T19:25:21.860197Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"c = sns.color_palette()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:25:23.167982Z",
"start_time": "2017-09-08T19:25:23.125899Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"def get_model_results(evaluated_individuals):\n",
" \"\"\"For processing model run results, store results as dictionary of AUCS\"\"\"\n",
" tpot_results = []\n",
" for i,(k, (steps, auc)) in enumerate(evaluated_individuals.iteritems()):\n",
" model_type = k.split('(')[0]\n",
" tpot_results.append([model_type, i, auc])\n",
" return tpot_results"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:25:23.743872Z",
"start_time": "2017-09-08T19:25:23.704307Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"params = {'legend.fontsize': 'x-large',\n",
" 'figure.figsize': (15, 5),\n",
" 'axes.labelsize': 'x-large',\n",
" 'axes.titlesize':'x-large',\n",
" 'xtick.labelsize':'x-large',\n",
" 'ytick.labelsize':'x-large'}\n",
"plt.rcParams.update(params)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:25:25.615800Z",
"start_time": "2017-09-08T19:25:24.982390Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"label_train = pd.read_json('data/label_train.json')\n",
"df = pd.read_json('data/data_train.json')\n",
"x_train = df.groupby('example_id').sum()\n",
"df.index = df.index.astype(np.int)\n",
"label_train = pd.read_json('data/label_train.json')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Show raw time series data"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:25:27.709030Z",
"start_time": "2017-09-08T19:25:26.590232Z"
}
},
"outputs": [
{
"data": {
"image/png": 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vXwDAhx9+KFXxbMj7K6qcTRSHrIq6desmFUQR14Ksj8WLFyMuLg6CICA5ObnW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\ncDG5CPd3s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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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8n3uVUoEcgxqiCNic3H2k+Dk9fri9AWg1ykj9UyaR6h7ZNIfkoCfSLCcxWQLD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\nko+PiAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df = pd.read_json('data/data_train.json')\n",
"df.index = df.index.astype(int)\n",
"for i,(_,_df) in enumerate(df[df.example_id.isin([0, 1])].groupby('example_id')):\n",
" plt.figure()\n",
" _df.index = _df.index%128\n",
" _df.sort_index().measurement.plot(linewidth=2, color=c[0])\n",
" plt.ylabel('Amplitude')\n",
" if i==0:\n",
" plt.title('Class 0: Raw time series data examples', size=24)\n",
"plt.xlabel('Sample');"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:25:28.758706Z",
"start_time": "2017-09-08T19:25:28.268977Z"
}
},
"outputs": [
{
"data": {
"image/png": 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N/EaMGMEbb7xR6/i2Xn/48OGN1qcm75zEhl7D5ZdfzhNPPMGBAwfIz88nKipKbUeffPIJ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bhc2DYHezOy5y0Y9OsFypFqDrORfkyRZCYk+jFj0RaX4Ld2RTV/zdveTvP/PpXUC3l3bS1+mxVN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\ne/rZ79u3D927d0dCQoK7TWxsL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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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DAbw0VVYSaWujOBHEM23woWzyehC6bL0WDr+S/Mw05YxTM/ocLXNm49s19Ml6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\n3r2bXbt22b2mxWIhL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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for i,(_,_df) in enumerate(df[df.example_id.isin([1246, 1248])].groupby('example_id')):\n",
" plt.figure()\n",
" _df.index = _df.index%128\n",
" _df.sort_index().measurement.plot(linewidth=2, color=c[2])\n",
" plt.ylabel('Amplitude')\n",
" if i==0:\n",
" plt.title('Class 1: Raw time series data examples', size=24)\n",
"plt.xlabel('Sample');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Use model serve API "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Train Model"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:25:55.535511Z",
"start_time": "2017-09-08T19:25:55.496544Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"train_url = 'http://0.0.0.0:8080/train_pipeline'\n",
"train_files = {'raw_data': open('data/data_train.json', 'rb'),\n",
" 'labels' : open('data/label_train.json', 'rb'),\n",
" 'params' : open('parameters/train_parameters_model2.yml', 'rb')}"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:26:09.038487Z",
"start_time": "2017-09-08T19:25:56.113566Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"r_train = requests.post(train_url, files=train_files)\n",
"result_df = json.loads(r_train.json())"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:26:09.094377Z",
"start_time": "2017-09-08T19:26:09.040296Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{u'featureEngParams': {u'column_id': u'example_id',\n",
" u'default_fc_parameters': u\"['median', 'minimum', 'standard_deviation', 'sum_values', 'variance', 'maximum', 'length', 'mean']\",\n",
" u'impute_function': u'impute'},\n",
" u'mean_cv_accuracy': 0.8712402361520161,\n",
" u'mean_cv_roc_auc': 0.949478607623132,\n",
" u'modelId': 2,\n",
" u'modelType': u\"Pipeline(memory=None,\\n steps=[('stackingestimator', StackingEstimator(estimator=GradientBoostingClassifier(criterion='friedman_mse', init=None,\\n learning_rate=0.1, loss='deviance', max_depth=1,\\n max_features=0.1, max_leaf_nodes=None,\\n min_impurity_decrease=0.0, min_impurity_split=Non...bsample=0.75, verbose=0,\\n warm_start=False))), ('gaussiannb', GaussianNB(priors=None))])\",\n",
" u'trainShape': [1647, 8],\n",
" u'trainTime': 12.85513710975647}\n"
]
}
],
"source": [
"r=requests.get('http://0.0.0.0:8080/models')\n",
"pipelines = json.loads(r.json())\n",
"\n",
"automl_experiments = get_model_results(pipelines['2']['evaluated_models'])\n",
"del result_df['evaluated_models'] # too long to print out\n",
"pprint.pprint(result_df)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:26:34.018478Z",
"start_time": "2017-09-08T19:26:33.698365Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"(0.8, 0.88051082251082247)"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Q443a+fPnNWDAACUnJ+vFF19U9erV7+pxZV9PkH0+f7aVK1dq165dkpRn7OTnySeflIuL\ni6Kjo+2+3+Hs2bOaPXu23brVq1dXo0aNFBcXp6+++irHOD788EN9++23tzw9SbrxkcHZcSHdmKeZ\nM2fK2dk5x1GL5s2by9XVVbNmzdKFCxfu6GOE74WPj48effRRrV+/Xt98843dbdOmTdOZM2f01FNP\nydnZWa6urgoICFB8fLzWrVtnW+/y5cu5nir19NNPKzk5WZMnT7a71ubIkSMaM2aM5s6de1un3N2s\naNEbJ2zkdjpgrVq15OHhodjYWP300095zmFGRob+7//+zxauVqtV77//vq5evapnnnlGUsG+DoAH\nHadRAcAD5osvvpDValXHjh3z/Utv165dtX37di1dulR/+9vfFBgYqNDQUM2fP19t27ZVUFCQKlWq\npJSUFO3YsUPHjh2Tv7+/Xn/99RzbGj9+vFJTU/X111+rRYsWatWqlSpXrqxTp04pLi5OV65cUXBw\nsIYPH37Xj6tTp05avXq1+vfvr5CQEJUuXVo//vijdu3apYcfflgXL17M88vj8lOyZEmFh4crLCxM\nzzzzjIKDg1WkSBGtX7/ets7Np5WNGTNG3bt31z/+8Q8FBgaqdu3aSkxM1JYtW+Ti4qJRo0bd1n6r\nVaumnj17qkOHDnJyctKGDRt04cIFjR492u7IkSTbaVNz5sxRyZIlFRwcfMeP8244Ojpq4sSJ6tWr\nl/r06aNWrVqpRo0a2rNnj/bu3atatWrZPafh4eF6/vnnNWjQILVu3VqVKlXS5s2bcz0t7/XXX7d9\nn8bu3bvVuHFjXbp0SV999ZXS0tI0efLkPK8VyUv58uXl7OysnTt3asKECQoODpavr6/t9qefflpj\nx46Vg4ODLa7/yMnJSStWrNCBAwfk6empffv2ac+ePfLz89MLL7xgW6+gXgfAg44jGwDwgMk+hSqv\nN1PZgoODVaZMGf344486dOiQJOntt9/Whx9+KG9vb23fvl2zZ8/W+vXr9dBDD2ns2LGaOXOm7ZOM\nblaiRAnNmDFDU6dOlbe3t/bs2aNPP/1U27Ztk6enp6ZMmaLp06ff0196W7ZsqSlTpqhGjRqKjY3V\nihUrdP36dYWHh2vWrFmSlOOv77crJCREUVFReuyxx/Tll19q3bp1at++vcLDw22PL9vjjz+u5cuX\nq1u3bjp06JCio6N16NAhde7cWTExMXriiSdua58vvviiBgwYoG3btmnZsmWqXLmyPvzwQ7s3tDfL\n/uK5Nm3a5PocmOLt7a2YmBi1b99ee/bs0cKFC5WcnKw33nhDS5cutTv6UL16dS1ZskTt27dXQkKC\nli1bpnr16uX6iVPFixdXdHS0BgwYoOvXr+uzzz7TN998I29vb0VHR6tDhw53PFZnZ2eFh4erXLly\n+uyzzxQfH293e/Yc+vr6qlq1arluo3jx4po3b56kG9/wnpSUpP79+2vWrFl2H4dbUK8D4EHnYL2b\nE1wBAHhAXL58WVeuXFHFihVzHAlatmyZ3nzzTU2ZMsX2LeyFZcmSJQoPD9e8efPu+rqXv7qtW7eq\nV69eevfdd/Xcc8/luD0oKEiXLl3Sd999VwijAx5MHNkAAPylJSYmKjAwUG+++abd8mvXrmnhwoV2\nXxpYWFJTU/Xpp5+qRo0aatKkSaGO5X9Venq6ZsyYodKlSxd6OAJ/JVyzAQD4S3N3d1eDBg20fPly\nnTx5Ug0aNNC1a9e0efNmnTp1SoMHDy6070rYtWuXJkyYoLNnz+rXX39VRETEHX35IqTjx4/bPqDg\n7NmzGjhwoJFvvAeQO2IDAPCX5ujoqDlz5mju3Ln66quvtHDhQjk5OclisWj48OFq165doY2tYsWK\nSkpKUlZWlgYOHGj7+FbcvocffliXLl1SamqqXnrpJfXu3buwhwT8pXDNBgAAAAAjuGYDAAAAgBGc\nRgXk4fffM/Xbb1cLexh/WuXLl2R+8sH85I25yR/zkzfmJn/MT96Ym/zdPD+urmUKdNsc2QDyULRo\nkVuv9BfG/OSP+ckbc5M/5idvzE3+mJ+8MTf5Mzk/xAYAAAAAI4gNAAAAAEYQGwAAAACMIDYAAAAA\nGEFsAAAAADCC2AAAAABgBLEBAAAAwAhiAwAAAIARxAYAAAAAI4gNAAAAAEYQGwAAAACMIDYAAAAA\nGEFsAAAAADCC2AAAAABgBLEBAAAAwIiihT0AAAAA4H/J8T1j7un+P5920tHTTnq8aoZqVc24p23V\naBh+T/c3jSMbAAAAwH10+ISzrmc46vAJ58IeinHEBgAAAHAfZWY52P3/ICM2AAAAABhBbAAAAAAw\ngtgAAAAAYASxAQAAAMAIYgMAAACAEcQGAAAAACOIDQAAAABGEBsAAAAAjCA2AAAAABhBbAAAAAAw\ngtgAAAAAYASxAQAAAMAIYgMAAACAEcQGAAAAACOIDQAAAABGEBsAAAAAjCA2AAAAABhBbAAAAAAw\ngtgAAAAAYASxAQAAAMAIYgMAAACAEcQGAAAAACOIDQAAAABGEBsAAAAAjCA2AAAAABhBbAAAAAAw\ngtgAAAAAYASxAQAAAMAIYgMAAACAEcQGAAAAACOIDQAAAABGEBsAAAAAjCA2AAAAABhBbAAAAAAw\ngtgAAADAX05goF9hD6HQ3Y85IDYAAADwl3Pw4IHCHkKhux9zQGwAAAAAMILYAAAAAGAEsQEAAADA\nCGIDAAAAgBHEBgAAAAAjiA0AAAAARhAbAAAAAIwgNgAAAAAYQWwAAAAAMILYAAAAAGAEsQEAAADA\nCGIDAAAAgBHEBgAAAAAjiA0AAAAARhAbAAAAAIwgNgAAAAAYQWwAAAAAMILYAAAAAGAEsQEAAADA\nCGIDAAAAgBHEBgAAAAAjiA0AAAAARhAbAAAAAIwgNgAAAAAYQWwAAAAAMILYAAAAAGAEsQEAAADA\nCGLjAWa1Wgt7CAAAAPgLu63YGDlypCwWS45/DRo0UFBQkN5++239+uuvpsdqs3z5clksFh04cOC+\n7G/nzp25Pv6b//2ZXLx4UWFhYUpISMhx26lTpxQREaF27drJy8tLzZo1U8+ePfX111/brXe/5/hm\nI0eOlK+vr+339PR0jRgxQj4+PmrYsKFiYmIUFBSkvn373vexAQAA4PYVvd0VS5Ysqblz59otS0lJ\n0Xfffac5c+boyJEjWrx4cYEP8M9k6NChatSoUWEP45b27NmjL7/8Ut26dbNbHhcXpyFDhqhq1arq\n2bOnHn30UaWmpmrlypV644031Lt3bw0ZMqSQRv1fffv2Vffu3W2/r1u3TitXrlSfPn0UEBCgmjVr\nql69eipRokQhjhIAAAC3ctuxUaRIEXl5eeVY3qJFC2VmZmr27Nk6cuSInnjiiQId4J9JzZo1c52D\n/wWnT5/WkCFD5O3trenTp8vZ2dl2W5s2bfTWW29pxowZCgwMtDuqUBhq1Khh93v2UbNnn31W1atX\nlyQ9/PDD931cAAAAuDMFcs1G2bJlJUkODg6SbvxlvU+fPvLz85O7u7uaN2+ut956SykpKbb7hIaG\navDgwVq0aJHatm0rDw8PtWvXTsuWLbPb9uXLl/XOO++oWbNm8vLyUv/+/ZWUlJRjDCdPntTQoUPV\nokULNWjQQF27dtWXX35pt05QUJAmT56sqVOnKiAgQJ6engoNDdWJEyf0zTffqFOnTmrQoIE6d+6s\nnTt33tVcZGRkaM6cOerQoYMaNGigFi1aaNy4cbp8+bJtncjISDVr1kzz5s1T06ZN1ahRI/3www+S\npO3bt6t79+7y8vKSr6+vBg4cqBMnTtjtY+3ateratasaNmwoHx8f9erVS3v37pV04/Snfv36SZJ6\n9Oih0NBQSdL8+fN19epVjR492i40sg0ePFgvvviiHB3zfkls2bJFL7/8snx9feXh4aFWrVopIiJC\n6enptnUOHjyov//97/Lz85Onp6e6du2qlStX2m1n4cKFtvnx8/PTgAED9PPPP9tuv/k0qtDQUI0f\nP16S1Lp1awUFBUlSjtOorFarFi5cqJCQEHl4eCggIEDjx4/X1atXbetknxq2fPlytWzZUg0bNtSG\nDRvyfLwAAAC4N7d9ZEOSfv/9d9vPVqtVqamp2rFjh2bPni0vLy/VrFlThw4dUmhoqJo3b65JkybJ\n2dlZ8fHxmjFjhpycnDR69GjbNrZu3aojR45o4MCBKleunGbOnKk333xTdevWVb169WS1WtW7d28d\nOHBAgwYN0mOPPaYvv/xS06ZNsxtXYmKi/va3v6l8+fIaMmSIXFxctGrVKoWFhencuXPq1auXbd1F\nixapQYMGGjdunJKSkjRmzBj16tVLVqtV/fv3V7ly5TRx4kQNGjRImzdvVvHixW33zcrKspsD2yQW\n/e80DhgwQFu3blXv3r3l7e2tQ4cOKTIyUrt379bixYttb/R/++03LV26VBMmTNCFCxfk7u6uDRs2\naODAgQoMDNSUKVN0+fJlRUVF6fnnn9fy5ctVqVIl7d69W2FhYerWrZuGDRumq1evKioqSn//+9+1\nadMmtWzZUkOHDtXkyZMVHh4uPz8/STdCoW7duqpatWquz22FChU0atSoPJ/7uLg49enTR127dtXr\nr78uq9Wq9evXa86cOXrooYf02muv6fLly3rllVdUq1YtRUREqFixYoqJidGIESP08MMPKyAgQKtX\nr9aYMWPUr18/+fn56eLFi/rggw/Uq1cvbdiwQU5OTnb7HTVqlD7//HN9+umnmj59uqpVq5br+CZM\nmKD58+erR48e+uc//6mjR49q6tSpOnDggObNm6ciRYrY1o2MjNRbb72lq1ev2uYHAAAABe+2YyM1\nNVXu7u45lru4uKhdu3YaPHiwHB0ddfDgQXl7e2vatGm2N9b+/v767rvvFB8fb3ffK1euaNasWapU\nqZKkG6cpBQUFaePGjapXr562bt2q7777ThEREerSpYskKTAwUBcuXNC2bdts25k+fboyMjI0f/58\nVaxYUdKN07uuXbumadOm6dlnn1W5cuUk3TgdLCoqyna+/9atW7VmzRrNmzdP/v7+kqSkpCS9/fbb\nOnbsmOrUqWPbz4ABA3Kdm2+++UaVK1fW1q1btXnzZr399tu2IwrNmjVTjRo11K9fPy1btkwvvPCC\nJCkzM1NhYWFq0aKFpBvxNmHCBHl4eOijjz6yHWFo1qyZgoOD9dFHH2n06NHavXu3MjMz1adPH1Wu\nXFmS9Pjjj2vp0qW6cuWKqlevrpo1a0qSnnjiCdtpbWfPnlXLli3ze4rzdeTIEQUHB9uOMkhS8+bN\nFRcXp/j4eL322mv6+eefdfHiRY0YMcK2r8aNG8vV1dX2Wti1a5dKliyp3r17q1ixYpKkKlWqaMuW\nLbpy5YpcXFzs9vvEE0/YAqlu3bp65JFHcozt+PHjmj9/vnr27KkRI0bYxlarVi298sorWrdundq3\nb29b/5VXXlFwcPBdzwUAAABuzx1dIB4dHS1Jun79upYsWaI1a9aod+/eeuWVV2zrde7cWZ07d1Z6\nerqOHDmiX375RUeOHNGpU6dynKLzyCOP2EJDuvGmU7oRIdKNN6bSjdNnbhYSEmIXGzt27FCTJk1s\noZGtS5cu2rhxo/bu3Wt7U1+nTh27C4srVKggSfL09LQtK1++vCTZnfYlSSNGjMj1AvHs6wd27Ngh\nSerUqZPd7a1bt1aZMmUUHx9viw1Jqlevnu3nxMREnTp1St26dVNWVpaysrIk3ThFzdfXV3FxcZIk\nPz8/FSlSRM8++6zatm2rZs2aqUmTJho+fHiOcd3M0dFRmZmZ+a6Tn+znOC0tTb/88ouOHz+uQ4cO\n6cqVK7bTqGrXrq0KFSroX//6l7799ls1a9ZMAQEBGjlypG07/v7+Wrx4sUJCQhQcHKyAgAD5+vqq\nYcOGdz227du3KysrS61bt7Y78tS4cWOVKlVK3377rV1s1K1b9673BQAAHhyvTPz61ivlYnTbAh7I\nPbjbx3C/3NEF4vXr17f97uvrqyJFiigiIkJOTk62v+Snp6dr/PjxWrFiha5du6bKlSvLw8NDxYsX\ntzu3X1KOTxPKjpHsN9rJyckqVqyYSpcubbeeq6ur3e8pKSk5lt283qVLl2zL/ritbCVLlsz7wf9/\nNWrUsJsAxqL/AAAgAElEQVSDP0pJSZGzs7PtKMrNKlSooNTU1Dz3+dtvv0mSpkyZoilTpuS4f/bp\nRZ6enpozZ47mzp2rmJgYLViwQCVKlFBISIjeeuutPB9HtWrVdPLkyXwf35kzZ2zBl9tjGz16tNav\nX6/MzExVq1ZNXl5etqMT2Y9n8eLFioqK0pYtWxQbGytHR0f5+/srPDxcjz32mNq1a6fIyEgtWLBA\n8+fP15w5c1S2bFk999xzCgsLszvd6XZlz92LL76Y6+3nzp2z+71UqVJ3vA8AAPDgmTMy6K7ud3zP\n1gIeyd2728cgSRX/rwAHkoc7umbjj/71r39p165dmjRpkpo2bapatWpp3LhxWrlypcaOHatWrVqp\nTJkykm78ZfzYsWN3tP2HHnpI169fV2pqqm07knJ8p0e5cuVyvWj8/Pnzkv57pMK0cuXKKT09XSkp\nKTmC4/z587mehpYt+yL7fv36qVWrVvnup0mTJmrSpInS09O1d+9excbG6vPPP1eFChU0ePDgXO8T\nGBio2bNn69y5c3ZHk7L99ttvCg4OVtu2bfX+++/nuD0sLEz79+9XVFSUGjdubAvFtm3t07569eqa\nMGGCrFarDh8+rK+//lozZszQyJEjbR+N3KZNG7Vp00ZpaWlKSEjQ0qVLNXv2bD322GM5Pq73dmTP\nXVRUVI6jWxJxAQAAUFju6dOoSpUqpVGjRik9PV3vvPOOJCkhIUENGjRQp06dbIHw66+/6scff7Qd\nsbhdTZs2laQcnyq1adMmu9/9/PwUHx9vi4tsX3zxhZydne/bx9VmX2y8atUqu+UbN27UlStX8v2O\njlq1asnV1VXHjh1T/fr1bf/c3d01Z84crVmzRpL04YcfKigoSOnp6XJ2dlbjxo01duxYlSlTRqdO\nnZKkXD9Rqnv37ipevLhGjx6tjIyMHLe/9957ysjIUNeuXXMdX0JCglq2bKkWLVrYQuPo0aM6fvy4\n7XndunWr/P39tX//fjk4OMhiseiNN95Q06ZNdfr0aUlSeHi4LShKlCihwMBAjRs3TpJs479T2fOe\nlJRkN3cVK1bU5MmTbZ/0BQAAgPvrno5sSDcuxG7btq3WrVun2NhYeXp6KjY2VvPmzVO9evV0/Phx\nzZw5U6mpqfl+rGpu/Pz8FBQUpIkTJ+ry5cuqW7euNmzYYLt+IVv//v31zTffKDQ0VH379pWLi4tW\nr16tjRs3asiQIXmeOlXQAgIC1Lx5c0VERCg5OVk+Pj46fPiwIiMjVadOHdtF7rlxdHTU0KFDNWLE\nCDk7O+upp56SdONjYuPi4vTee+9JuhFgUVFR6tevn7p37y5nZ2etXr1aqamptusSsv/Sv2XLFpUr\nV0516tRRlSpVNG7cOA0fPlzdunXTCy+8oEcffVTnz5/XsmXLtGPHDvXt21fNmjXLdXyenp5av369\nvL299eijj+rw4cP6+OOPZbValZaWZlunaNGiGjp0qPr16ydXV1f98MMPiouLs51m5+/vryVLlmj4\n8OHq1KmTsrKytGjRIjk5OalNmzZ3Ne9PPPGEnnnmGU2cOFFJSUny9fXVxYsXFRUVpfPnzys8PPyu\ntgsAAIB7c8+xIUlvvvmmvv32W0VERGjJkiWyWq2aMWOG0tLSVLlyZbVt21aurq569913dfjwYbm5\nud32tqdOnaqpU6cqOjpaKSkpatSokd588027N5C1atXS559/rilTpmjs2LHKyMiQm5ub3n//fXXo\n0KEgHuJtcXBwUFRUlKKiorRixQrNmDFDrq6ueu6559S/f3+7j9HNTZcuXVS2bFl98sknGjhwoIoW\nLSo3Nzd9+OGHevLJJyVJDRs2VFRUlD7++GMNGzZM6enpql27tj744APbd1B4enoqODhYCxYs0Lff\nfms7MtS+fXs9+uijio6O1owZM5SUlKSyZcvKYrHok08+sV1En5uJEydq3LhxtiMgjzzyiHr27KmU\nlBTNnTtXycnJcnFx0bx58/TBBx9owoQJSklJUdWqVdW3b1+9/vrrkqSnnnpK169fV3R0tAYOHCir\n1Sp3d3fNmjUr39PMbuXdd99VrVq1FBMToxkzZqhs2bLy9vbWlClTVKtWrbveLgAAAO6eg9VqtRb2\nIIA/q6Sk1Fuv9Bfl6lqG+ckH85M35iZ/zE/emJv8MT95y21uKlYsq/PnL+Vxj/wd3zPmnsbz5Y7/\nnnXTwf9yPmveWo2Gd38GR/Yc3Dw/rq5lbnGvO1Mg3yAOAAAAAH9EbAAAAAAwgtgAAAAAYASxAQAA\nAMAIYgMAAACAEcQGAAAAACOIDQAAAABGEBsAAAAAjCA2AAAAABhBbAAAAAAwgtgAAAAAYASxAQAA\nAMAIYgMAAACAEcQGAAAAACOIDQAAAABGEBsAAAAAjCA2AAAAABhBbAAAAAAwgtgAAAAAYASxAQAA\nAMAIYgMAAACAEcQGAAAAACOIDQAAAABGEBsAAAAAjCA2AAAAABhBbAAAAAAwgtgAAAAAYASxAQAA\nAMAIYgMAAACAEcQGAAAA/nLq1Klb2EModPdjDogNAAAA/OXExe0s7CEUuvsxB8QGAAAAACOIDQAA\nAABGEBsAAAAAjCA2AAAAABhBbAAAAAAwgtgAAAAAYASxAQAAAMAIYgMAAACAEcQGAAAAACOIDQAA\nAABGEBsAAAAAjCA2AAAAABhBbAAAAAAwgtgAAAAAYASxAQAAAMAIYgMAAACAEcQGAAAAACOIDQAA\nAABGEBsAAAAAjCA2AAAAABhBbAAAAAAwgtgAAAAAYASxAQAAAMAIYgMAAACAEcQGAAAAACOIDQAA\nAABGEBsAAAAAjCA2AAAAABhBbAAAAAAwgtgAAAAAYASxAQAAAMAIYgMAAACAEcQGAAAAACOIDQAA\nAABGEBsAAADAfVTE0Wr3/4OsaGEPAAAAAPhfUqNh+D3d38/hO+3du1teXj6q4eVbQKP6cyI2AAAA\ngPvIy8tXXg94ZGTjNCoAAAAARhAbAAAAAIwgNgAAAAAYQWwAAAAAMILYAAAAAGAEsQEAAADACGID\nAAAAgBHEBgAAAAAjiA0AAAAARhAbAAAAAIwgNgAAAAAYQWwAAAAAMILYAAAAAGAEsQEAAADACGID\nAAAAgBHEBgAAAAAjiA0AAAAARhAbAAAAAIwgNgAAAAAYQWwAAAAAMILYAAAAAGAEsQEAAADACGID\nAAAAgBHEBgAAAAAjiA0AAAAARhAbAAAAAIwgNgAAAAAYQWwAAAAAMILYAAAAAGAEsQEAAADACGID\nAAAAgBHEBgAAAAAjihb2AAAAAIA7cXzPmDtb/x729fNpJx097aTHq2aoVtWMe9jS7avRMPy+7Od+\n4MgGAAAAkIfDJ5x1PcNRh084F/ZQ/icRGwAAAEAeMrMc7P7HnSE2AAAAABhBbAAAAAAwgtgAAAAA\nYASxAQAAAMAIYgMAAACAEcQGAAAAACOIDQAAAABGEBsAAAAAjCA2AAAAABhBbAAAAAAwgtgAAAAA\nYASxAQAAAMAIYgMAAACAEcQGAAAAACOIDQAAAABGEBsAAAAAjCA2AAAAABhBbAAAAAAwgtgAAAAA\nYASxAQAAAMAIYgMAAACAEcQ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AGEFsAAAAADCC2AAAAABgBLEBAAAAwAhiAwAAAIARxAYA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\nsAEAAADACsIGAAAAACsIGwAAAACsIGwAAAAAsIK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7d2/jcDgKrPPnn3+amJgY07x5cxMU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\nACsIGwAAAACs+F/XQihYbUlbvwAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"automl_experiments = pd.DataFrame(automl_experiments, columns=['model', 'id', 'auc']).sort_values('model')\n",
"# automl_experiments = automl_experiments.query('model != \"LinearSVC\"').query('model != \"MultinomialNB\"').query('model != \"BernoulliNB\"')\n",
"sns.set_style(style='darkgrid')\n",
"f, ax = plt.subplots(figsize=(10,10))\n",
"box = automl_experiments.boxplot(column='auc', by='model', rot=0, vert=False,\n",
" ax=ax, patch_artist=True, return_type='dict',\n",
" widths=0.8)\n",
"ax.grid(axis='y')\n",
"ax.set_title('AUC range by model type', size=20)\n",
"plt.suptitle('')\n",
"\n",
"for b in box['auc']['boxes']:\n",
" color = sns.color_palette()[4] \n",
" b.set(color=color, linewidth=2)\n",
" b.set(facecolor=color, linewidth=2)\n",
"\n",
"# for median in bp['medians']:\n",
"for median in box['auc']['medians']:\n",
" median.set(color='grey', linewidth=3)\n",
"\n",
"plt.xlim(0.8)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Serve model prediction"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:26:53.501082Z",
"start_time": "2017-09-08T19:26:53.403043Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"serve_url = 'http://0.0.0.0:8080/serve_prediction'\n",
"test_files = {'raw_data': open('data/data_test.json', 'rb'),\n",
" 'params' : open('parameters/test_parameters_model2.yml', 'rb')}"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:26:54.336108Z",
"start_time": "2017-09-08T19:26:53.951294Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"r_test = requests.post(serve_url, files=test_files)\n",
"result = pd.read_json(r_test.json()).set_index('id')"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:26:54.793034Z",
"start_time": "2017-09-08T19:26:54.747325Z"
}
},
"outputs": [
{
"data": {
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},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"result.head()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T19:26:55.262858Z",
"start_time": "2017-09-08T19:26:55.215033Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"AUC: 0.92\n"
]
}
],
"source": [
"label_test = pd.read_json('data/label_test.json')\n",
"result.index = result.index.astype(np.int)\n",
"result = result.loc[label_test.example_id]\n",
"auc = roc_auc_score(label_test.label, result.score)\n",
"\n",
"print \"AUC: {:1.2f}\".format(auc)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Appendix"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Build an AutoML Pipeline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Load Data\n",
"The dataset consists of timeseries for 7352 accelerometer readings. Each reading represents an accelerometer reading for 2.56 sec at 50hz (for a total of 128 samples per reading). Each reading corresponds one of six activities (walking, walking upstairs, walking downstairs, sitting, standing and laying). We use only two labels to create a binary classification problem for demonstration purposes.\n",
"\n",
"The dataset is available here: https://archive.ics.uci.edu/ml/datasets/Human+Activity+Recognition+Using+Smartphones"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T14:37:34.453779Z",
"start_time": "2017-09-08T14:37:34.407609Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"# fetch dataset from uci\n",
"download_har_dataset()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T14:37:35.978190Z",
"start_time": "2017-09-08T14:37:35.267780Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"# load data\n",
"df = load_har_dataset()\n",
"y = load_har_classes()\n",
"\n",
"# binary classification\n",
"class1, class2 = 2, 3\n",
"two_classes = (y==class1) | (y==class2)\n",
"df = df[two_classes]\n",
"y = y[two_classes]\n",
"# change lavel names\n",
"y[y==class1] = 0\n",
"y[y==class2] = 1\n",
"df = df.reset_index(drop=True)\n",
"y = y.reset_index(drop=True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T14:37:36.886470Z",
"start_time": "2017-09-08T14:37:36.606185Z"
}
},
"outputs": [],
"source": [
"df.loc[0].plot()\n",
"plt.xlabel('Samples')\n",
"plt.ylabel('Value');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Prep data for feature building\n",
"We need to get the data in the format required by TSFRESH:\n",
"\n",
"If there are 100 examples, where each example has 50 samples, we need to go from a (100, 50) dataframe to a (100*50, 2) dataframe as follows:\n",
"~~~\n",
"measurement|example_id\n",
"----------------------\n",
"0.5235 |0\n",
"0.4284 |0\n",
"0.9042 |0\n",
"...\n",
"0.9042 |100\n",
"~~~\n",
"See the TSFRESH docs for more details"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T14:37:38.744507Z",
"start_time": "2017-09-08T14:37:38.677683Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"# values\n",
"v = df.stack().values\n",
"\n",
"# ids\n",
"ids = []\n",
"for i in range(len(y)):\n",
" ids.extend(128*[i])\n",
"ids = np.array(ids)\n",
"\n",
"master_df = pd.DataFrame(v, columns=['measurement'])\n",
"master_df['example_id'] = ids"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Build Train/Test Set"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T14:37:40.256669Z",
"start_time": "2017-09-08T14:37:40.165031Z"
}
},
"outputs": [],
"source": [
"# build label dataframe\n",
"label_df = pd.DataFrame(y.reset_index(drop=True))\\\n",
" .reset_index()\n",
"label_df.columns = ['example_id', 'label']\n",
"\n",
"# split into training and test \n",
"train_id, test_id = train_test_split(label_df.example_id, random_state=43, test_size=0.2)\n",
"train_id = pd.DataFrame(train_id)\n",
"test_id = pd.DataFrame(test_id)\n",
"\n",
"data_train = master_df.merge(train_id, on='example_id')\n",
"data_test = master_df.merge(test_id, on='example_id')\n",
"print float(data_train.shape[0])/(data_train.shape[0] + data_test.shape[0])\n",
"\n",
"label_train = label_df.merge(train_id, on='example_id')\n",
"label_test = label_df.merge(test_id, on='example_id')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Build a model"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T14:37:42.751182Z",
"start_time": "2017-09-08T14:37:41.909888Z"
}
},
"outputs": [],
"source": [
"%%time\n",
"\n",
"extraction_settings = MinimalFCParameters()\n",
"\n",
"X_train = extract_features(data_train, column_id='example_id', impute_function=eval('tsfresh.utilities.dataframe_functions.impute'), default_fc_parameters=extraction_settings); \n",
"X_test = extract_features(data_test, column_id='example_id', impute_function=impute, default_fc_parameters=extraction_settings);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T14:37:58.248802Z",
"start_time": "2017-09-08T14:37:43.933304Z"
}
},
"outputs": [],
"source": [
"from tpot import TPOTClassifier\n",
"from sklearn.metrics import roc_auc_score\n",
"tpot = TPOTClassifier(generations=5, population_size=20, max_time_mins=0.2)\n",
"tpot.fit(X_train, label_train.label)\n",
"roc_auc_score(label_test.label, tpot.predict_proba(X_test)[:,1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Compare to Random Forest (baseline)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T14:40:18.892713Z",
"start_time": "2017-09-08T14:40:12.959511Z"
}
},
"outputs": [],
"source": [
"from sklearn.ensemble import RandomForestClassifier\n",
"cl = RandomForestClassifier(n_estimators=100, n_jobs=-1)\n",
"cl.fit(X_train, label_train.label)\n",
"roc_auc_score(label_test.label, cl.predict_proba(X_test)[:,1])\n",
"import sklearn\n",
"scoring = ['roc_auc', 'accuracy']\n",
"cv = sklearn.model_selection.cross_validate(cl, X_train, label_train.label, cv=5, scoring=scoring)\n",
"mean_accuracy = cv['test_accuracy'].mean()\n",
"mean_roc_auc = cv['test_roc_auc'].mean()\n",
"mean_accuracy, mean_roc_auc"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T14:40:20.859384Z",
"start_time": "2017-09-08T14:40:20.379517Z"
}
},
"outputs": [],
"source": [
"def plot_importances(cl, column_names, n_features=10, ax=None, error_bars = True):\n",
" df_imp = pd.DataFrame({'features': column_names,\n",
" 'importances': cl.feature_importances_})\n",
" errors = np.std([tree.feature_importances_ for tree in cl.estimators_], axis=0)\n",
" df_imp_sub = df_imp.set_index('features').sort_values('importances').tail(n_features)\n",
" if error_bars:\n",
" df_errors = pd.DataFrame({'features': column_names,\n",
" 'importances': errors})\n",
" df_err_sub = df_errors.set_index('features').loc[df_imp_sub.index]\n",
" else:\n",
" df_err_sub = None\n",
" ax = df_imp_sub.plot(kind='barh', width=.7, legend=False, ax=ax, xerr=df_err_sub, ecolor='g')\n",
" for i,t in enumerate(df_imp_sub.index.tolist()):\n",
" t = ax.text(0.001, i-.06,t)\n",
" t.set_bbox(dict(facecolor='white', alpha=0.4, edgecolor='grey'))\n",
" ax.yaxis.set_major_formatter(plt.NullFormatter())\n",
" ax.set_title('Feature Importances')\n",
" ax.set_xlim(0.0)\n",
" ax.set_xlabel('importance')\n",
" return df_imp_sub\n",
"\n",
"plot_importances(cl, X_train.columns);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Export Data\n",
"Save training/testing data so we can build and test the AutoML Flask service"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"ExecuteTime": {
"end_time": "2017-09-08T14:40:24.299892Z",
"start_time": "2017-09-08T14:40:24.105864Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"# import os\n",
"# output_dir = 'data'\n",
"# data_train.to_json(os.path.join(output_dir, 'data_train.json'))\n",
"# data_test.to_json(os.path.join(output_dir, 'data_test.json'))\n",
"# label_train.to_json(os.path.join(output_dir, 'label_train.json'))\n",
"# label_test.to_json(os.path.join(output_dir, 'label_test.json'))"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
},
"nav_menu": {},
"toc": {
"navigate_menu": true,
"number_sections": true,
"sideBar": true,
"threshold": 6,
"toc_cell": false,
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 1
}
================================================
FILE: parameters/test_parameters.yml
================================================
pipeline_id: 1
================================================
FILE: parameters/test_parameters_model2.yml
================================================
pipeline_id: 2
================================================
FILE: parameters/train_parameters.yml
================================================
pipeline_id: 1
extract_features:
column_id: example_id
impute_function: tsfresh.utilities.dataframe_functions.impute
default_fc_parameters: MinimalFCParameters()
model_training:
model_args:
model: sklearn.ensemble.RandomForestClassifier
================================================
FILE: parameters/train_parameters_model2.yml
================================================
pipeline_id: 2
model_training:
model_args:
generations: 20
population_size: 10
verbosity: 2
max_time_mins: 0.1
model: tpot.TPOTClassifier
extract_features:
column_id: example_id
impute_function: tsfresh.utilities.dataframe_functions.impute
default_fc_parameters: MinimalFCParameters()
================================================
FILE: parameters/train_parameters_model3.yml
================================================
pipeline_id: 2
model_training:
model_args:
generations: 300
population_size: 50
verbosity: 2
max_time_mins: 80
model: tpot.TPOTClassifier
extract_features:
column_id: example_id
impute_function: tsfresh.utilities.dataframe_functions.impute
default_fc_parameters: MinimalFCParameters()
================================================
FILE: resources.py
================================================
import json
import time
import pandas as pd
import sklearn
import tpot
import yaml
import werkzeug
from utilities import build_features, cross_validate, read_file, read_params,\
train_model
from flask_restful import reqparse, Resource
class Model(Resource):
def __init__(self, model_factory):
self.model_factory = model_factory
self.parser = reqparse.RequestParser()
self.parser.add_argument('pipeline_id')
def get(self):
args = self.parser.parse_args()
pipeline_id = args['pipeline_id']
pipeline = self.model_factory[pipeline_id]
result = dict()
result['model'] = pipeline['stats']
result['extract_features'] = pipeline['extract_features']
return json.dumps(result)
class Models(Resource):
def __init__(self, model_factory):
self.model_factory = model_factory
def get(self):
model_ids = self.model_factory.pipelines.keys()
result = dict()
for m in model_ids:
result[m] = self.model_factory[m]['stats']
return json.dumps(result)
class Train(Resource):
def __init__(self, model_factory):
self.model_factory = model_factory
self.parser = reqparse.RequestParser()
self.parser.add_argument('params', type=werkzeug.FileStorage,
location='files')
self.parser.add_argument('raw_data', type=werkzeug.FileStorage,
location='files')
self.parser.add_argument('labels', type=werkzeug.FileStorage,
location='files')
def post(self):
start_time = time.time()
args = self.parser.parse_args()
# read data
params = read_params(args['params'].stream)
df = read_file(args['raw_data'].stream.read())
y_train = read_file(args['labels'].stream.read())
# build features
X_train = build_features(df, params)
y_train = y_train.set_index('example_id')
y_train = y_train.loc[X_train.index]
# train model
cl = train_model(X_train, y_train.label, params)
self.model_factory.add_pipeline(cl, params)
if isinstance(cl, tpot.TPOTClassifier):
final_classifier = cl.fitted_pipeline_
evaluated_indivs = cl.evaluated_individuals_
else:
final_classifier = cl
evaluated_indivs = None
model_type = str(final_classifier)
mean_accuracy, mean_roc_auc = cross_validate(final_classifier,
X_train,
y_train.label)
# format feat_eng_params
feat_eng_params = params['extract_features'].copy()
for k in feat_eng_params.keys():
if k =='default_fc_parameters': # shows calculations like min, mean, etc.
feat_eng_params[k] = str(feat_eng_params[k].keys())
elif k =='impute_function':
feat_eng_params[k] = str(feat_eng_params[k].__name__)
else:
feat_eng_params[k] = str(feat_eng_params[k])
# for k in feat_eng_params:
# feat_eng_params[k] = str(feat_eng_params[k])
result = {'trainTime': time.time()-start_time,
'trainShape': X_train.shape,
'modelType': model_type,
'featureEngParams': feat_eng_params,
'modelId': params['pipeline_id'],
'mean_cv_accuracy' : mean_accuracy,
'mean_cv_roc_auc' : mean_roc_auc,
'evaluated_models' : evaluated_indivs}
self.model_factory[params['pipeline_id']]['stats'] = result
return json.dumps(result)
class ServePrediction(Resource):
def __init__(self, model_factory):
self.model_factory = model_factory
self.parser = reqparse.RequestParser()
self.parser.add_argument('params', type=werkzeug.FileStorage,
location='files')
self.parser.add_argument('raw_data', type=werkzeug.FileStorage,
location='files')
def post(self):
args = self.parser.parse_args()
params = read_params(args['params'].stream)
df = read_file(args['raw_data'].stream.read())
result = self.model_factory.use_pipeline(df, params['pipeline_id'])
return result.reset_index().to_json()
================================================
FILE: test_api.py
================================================
import os
import numpy as np
import pandas as pd
import pytest
import requests
from sklearn.metrics import roc_auc_score
def test_train_model_1(host):
'''Train sklearn model'''
url = os.path.join(host, 'train_pipeline')
train_files = {'raw_data': open('data/data_train.json', 'rb'),
'labels' : open('data/label_train.json', 'rb'),
'params' : open('parameters/train_parameters.yml', 'rb')}
r = requests.post(url,
files=train_files)
def test_train_model_2(host):
'''Train TPOT model'''
url = os.path.join(host, 'train_pipeline')
train_files = {'raw_data': open('data/data_train.json', 'rb'),
'labels' : open('data/label_train.json', 'rb'),
'params' : open('parameters/train_parameters_model2.yml', 'rb')}
r = requests.post(url,
files=train_files)
def test_serve_model(host):
serve_url = os.path.join(host, 'serve_prediction')
test_files = {'raw_data': open('data/data_test.json', 'rb'),
'params' : open('parameters/test_parameters.yml', 'rb')}
r = requests.post(serve_url, files=test_files)
# parse result
result = pd.read_json(r.json()).set_index('id')
result.index = result.index.astype(np.int)
label_test = pd.read_json('data/label_test.json')
result = result.loc[label_test.example_id]
auc = roc_auc_score(label_test.label, result.values)
print "Test AUC: {}".format(auc)
assert (auc > 0.9)
def test_serve_model_2(host):
serve_url = os.path.join(host, 'serve_prediction')
test_files = {'raw_data': open('data/data_test.json', 'rb'),
'params' : open('parameters/test_parameters_model2.yml', 'rb')}
r = requests.post(serve_url, files=test_files)
# parse result
result = pd.read_json(r.json()).set_index('id')
result.index = result.index.astype(np.int)
label_test = pd.read_json('data/label_test.json')
result = result.loc[label_test.example_id]
auc = roc_auc_score(label_test.label, result.values)
print "Test AUC: {}".format(auc)
assert (auc > 0.9)
def test_get_models(host):
'''Show all available models'''
url = os.path.join(host, 'models')
r = requests.get(url)
assert r.status_code == 200
================================================
FILE: utilities.py
================================================
# -*- coding: utf-8 -*-
"""
utilities.py
~~~~~~~~~~~~
Utility functions for automl service.
"""
import copy
import json
import pandas as pd
import yaml
import sklearn
import tpot
import tsfresh
from sklearn.ensemble import RandomForestClassifier
from tsfresh import extract_features, extract_relevant_features,\
select_features
from tsfresh.utilities.dataframe_functions import impute
from tsfresh.feature_extraction import ComprehensiveFCParameters,\
MinimalFCParameters
#TODO: change name to load json
def read_file(d):
"""Given an input file, we want to read, parse, and load it
into a Pandas DataFrame"""
j = json.loads(d)
df = pd.DataFrame(j)
return df
def read_params(d):
"""Parse parameter file"""
return yaml.load(d)
def build_features(data, params):
"""Automated feature engineering function"""
kwargs = params['extract_features']
python_objects = ['impute_function', 'default_fc_parameters']
for k in python_objects:
kwargs[k] = eval(kwargs[k])
return extract_features(data, **kwargs)
def train_model(X, y, params):
"""Train a sklearn-learn compatible classifier ."""
model_params = params['model_training']
python_objects = ['model']
for k in python_objects:
model_params[k] = eval(model_params[k])
model = model_params['model']
kwargs = model_params['model_args']
if kwargs:
cl = model(**kwargs)
else:
cl = model()
cl.fit(X, y)
return cl
def cross_validate(cl, X_train, y_train):
scoring = ['roc_auc', 'accuracy']
cv = sklearn.model_selection.cross_validate(cl, X_train, y_train,
cv=5, scoring=scoring)
mean_accuracy = cv['test_accuracy'].mean()
mean_roc_auc = cv['test_roc_auc'].mean()
return (mean_accuracy, mean_roc_auc)
class ModelFactory(object):
def __init__(self):
self.pipelines = dict()
self.cl = None
def __getitem__(self, item):
return self.pipelines[item]
def add_pipeline(self, cl, params):
pipeline_id = params['pipeline_id']
self.pipelines[pipeline_id] = dict()
pipeline = self.pipelines[pipeline_id]
pipeline['extract_features'] = params['extract_features']
pipeline['model'] = cl
def use_pipeline(self, df, pipeline_id):
params = self.pipelines[pipeline_id]
X = extract_features(df, **params['extract_features'])
cl = params['model']
scores = cl.predict_proba(X)[:,1]
result = pd.DataFrame(scores,
columns=['score'],
index=X.index)
return result
def load_module_from_string(module_name):
__import__(module_name)