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Pandas resample spline interpolation.ipynb
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "> See pandas issue: https://github.com/pandas-dev/pandas/issues/26309"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import numpy as np\nimport pandas as pd\nfrom scipy import interpolate\nimport matplotlib.pyplot as plt\n%config InlineBackend.figure_format = 'retina'",
"execution_count": 1,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df = pd.read_csv('temp.csv', parse_dates=['date_time'], index_col=0)\ndf",
"execution_count": 2,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 2,
"data": {
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>temperature</th>\n </tr>\n <tr>\n <th>date_time</th>\n <th></th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>2019-05-05 01:30:00</th>\n <td>38.8</td>\n </tr>\n <tr>\n <th>2019-05-05 03:20:00</th>\n <td>39.5</td>\n </tr>\n <tr>\n <th>2019-05-05 04:30:00</th>\n <td>39.3</td>\n </tr>\n <tr>\n <th>2019-05-05 05:30:00</th>\n <td>38.9</td>\n </tr>\n <tr>\n <th>2019-05-05 07:55:00</th>\n <td>38.7</td>\n </tr>\n <tr>\n <th>2019-05-05 09:45:00</th>\n <td>39.1</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " temperature\ndate_time \n2019-05-05 01:30:00 38.8\n2019-05-05 03:20:00 39.5\n2019-05-05 04:30:00 39.3\n2019-05-05 05:30:00 38.9\n2019-05-05 07:55:00 38.7\n2019-05-05 09:45:00 39.1"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "s = 0.3\nx = df.index.values\ny = df.temperature.values\nxnew = np.arange(x[0], x[-1], np.timedelta64(5, 'm'))\n\ntck = interpolate.splrep(x, y, k=3, s=s)\nynew = interpolate.splev(xnew.view(int), tck)",
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df.temperature.plot(marker='o', ls='', label='data')\nplt.plot(xnew, ynew, label=f'scipy cubic spline (s={s})')\n(df.temperature.resample('5min')\n .interpolate(method='spline', order=3, s=s)\n .plot(label=f'pandas cubic spline (s={s})'))\nplt.legend();",
"execution_count": 4,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"needs_background": "light",
"image/png": {
"width": 380,
"height": 263
}
}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "pd.show_versions()",
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": "\nINSTALLED VERSIONS\n------------------\ncommit: None\npython: 3.7.2.final.0\npython-bits: 64\nOS: Darwin\nOS-release: 18.2.0\nmachine: x86_64\nprocessor: i386\nbyteorder: little\nLC_ALL: None\nLANG: en_US.UTF-8\nLOCALE: en_US.UTF-8\n\npandas: 0.24.2\npytest: 4.3.0\npip: 19.0.3\nsetuptools: 40.8.0\nCython: None\nnumpy: 1.16.2\nscipy: 1.2.1\npyarrow: None\nxarray: None\nIPython: 7.3.0\nsphinx: None\npatsy: 0.5.1\ndateutil: 2.8.0\npytz: 2018.9\nblosc: None\nbottleneck: 1.2.1\ntables: None\nnumexpr: 2.6.9\nfeather: None\nmatplotlib: 3.0.3\nopenpyxl: None\nxlrd: None\nxlwt: None\nxlsxwriter: None\nlxml.etree: 4.3.2\nbs4: 4.7.1\nhtml5lib: None\nsqlalchemy: None\npymysql: None\npsycopg2: None\njinja2: 2.10\ns3fs: None\nfastparquet: None\npandas_gbq: None\npandas_datareader: None\ngcsfs: None\n",
"name": "stdout"
}
]
}
],
"metadata": {
"kernelspec": {
"name": "fastai",
"display_name": "Python 3.7 (fastai)",
"language": "python"
},
"language_info": {
"nbconvert_exporter": "python",
"version": "3.7.2",
"codemirror_mode": {
"version": 3,
"name": "ipython"
},
"name": "python",
"pygments_lexer": "ipython3",
"mimetype": "text/x-python",
"file_extension": ".py"
},
"gist": {
"id": "aea8c0e18e9bde6984ca199b7c012ad8",
"data": {
"description": "Pandas resample spline interpolation.ipynb",
"public": false
}
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"base_numbering": 1,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
},
"_draft": {
"nbviewer_url": "https://gist.github.com/aea8c0e18e9bde6984ca199b7c012ad8"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
date_time temperature
2019-05-05 01:30:00 38.8
2019-05-05 03:20:00 39.5
2019-05-05 04:30:00 39.3
2019-05-05 05:30:00 38.9
2019-05-05 07:55:00 38.7
2019-05-05 09:45:00 39.1
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