{ "cells": [ { "attachments": {}, "cell_type": "markdown", "id": "daf8e206-a2e7-46a5-9c95-8e6a9e34cb63", "metadata": {}, "source": [ "# Mauna Loa CO2 scikit-learn example" ] }, { "attachments": {}, "cell_type": "markdown", "id": "617a3bad-3cb0-4202-8926-093d90cd8d56", "metadata": {}, "source": [ "We are going to use [scikit-learn Mauna Loa CO2 example](https://scikit-learn.org/stable/auto_examples/gaussian_process/plot_gpr_co2.html) data to train a GpMix surrogate model. \n", "\n", "Unlike in the scikit-learn example we do not engineer a special kernel to make extrapolation, we just use the dataset to fit a Gpx model which will only be able to interpolate the data." ] }, { "attachments": {}, "cell_type": "markdown", "id": "44e58b4d", "metadata": {}, "source": [ "## Installation" ] }, { "cell_type": "code", "execution_count": null, "id": "ccaf0087", "metadata": {}, "outputs": [], "source": [ "%pip install egobox" ] }, { "attachments": {}, "cell_type": "markdown", "id": "a86a2beb", "metadata": {}, "source": [ "We import _egobox_ as _egx_ for short" ] }, { "cell_type": "code", "execution_count": 2, "id": "60dd4ed2", "metadata": {}, "outputs": [], "source": [ "import egobox as egx" ] }, { "attachments": {}, "cell_type": "markdown", "id": "561fe008-b29c-4555-876c-467798de30ea", "metadata": {}, "source": [ "## Dataset retrieval " ] }, { "attachments": {}, "cell_type": "markdown", "id": "893140f6-4bd8-46c0-ba27-ef46052c18d0", "metadata": {}, "source": [ "You can skip this section if you already have the Mauna Loa CO2 dataset files: `mauna_loa_co2_X.npy` and `mauna_loa_co2_y.npy`." ] }, { "cell_type": "code", "execution_count": 3, "id": "a842c83b-715c-44de-83aa-652490e68442", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "D:\\rlafage\\AppData\\Local\\Temp\\ipykernel_2504\\2967619264.py:3: DeprecationWarning: \n", "Pyarrow will become a required dependency of pandas in the next major release of pandas (pandas 3.0),\n", "(to allow more performant data types, such as the Arrow string type, and better interoperability with other libraries)\n", "but was not found to be installed on your system.\n", "If this would cause problems for you,\n", "please provide us feedback at https://github.com/pandas-dev/pandas/issues/54466\n", " \n", " import pandas as pd\n", "D:\\rlafage\\AppData\\Local\\Temp\\ipykernel_2504\\2967619264.py:11: FutureWarning: 'M' is deprecated and will be removed in a future version, please use 'ME' instead.\n", " co2_data = co2_data.resample(\"M\").mean().dropna(axis=\"index\", how=\"any\")\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from sklearn.datasets import fetch_openml\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "# Fetch and format data\n", "co2 = fetch_openml(data_id=41187, as_frame=True, parser=\"pandas\")\n", "co2_data = co2.frame\n", "co2_data[\"date\"] = pd.to_datetime(co2_data[[\"year\", \"month\", \"day\"]])\n", "co2_data = co2_data[[\"date\", \"co2\"]].set_index(\"date\")\n", "co2_data = co2_data.resample(\"M\").mean().dropna(axis=\"index\", how=\"any\")\n", "\n", "# Save CO2 dataset\n", "X = (co2_data.index.year + co2_data.index.month / 12).to_numpy().reshape(-1, 1)\n", "y = co2_data[\"co2\"].to_numpy().reshape(-1, 1)\n", "np.save(\"mauna_loa_co2_X.npy\", X)\n", "np.save(\"mauna_loa_co2_y.npy\", y)\n", "\n", "# Plot\n", "co2_data.plot()\n", "plt.ylabel(\"Monthly average of CO$_2$ concentration (ppm)\")\n", "_ = plt.title(\n", " \"Monthly average of air samples measurements\\nfrom the Mauna Loa Observatory\"\n", ")" ] }, { "attachments": {}, "cell_type": "markdown", "id": "24bc2882-ae4f-4944-9a88-1c0e175998ca", "metadata": {}, "source": [ "## Dataset: training and test data" ] }, { "cell_type": "code", "execution_count": 4, "id": "b0829c59-aa4b-4a0f-8891-fdaf983e179b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(521, 1)\n", "(521, 1)\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "X = np.load(\"mauna_loa_co2_X.npy\")\n", "y = np.load(\"mauna_loa_co2_y.npy\")\n", "print(X.shape)\n", "print(y.shape)" ] }, { "cell_type": "code", "execution_count": 5, "id": "4189b965-7ef8-407d-bc70-8f5ed8012755", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(X, y)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "0c189830-db63-4f59-8c6c-bdca8e118b03", "metadata": {}, "source": [ "We randomly draw 50 samples for validation test and use the remaining samples for training." ] }, { "cell_type": "code", "execution_count": 6, "id": "a7870bf0-a4f5-4cc3-af82-80810ac0dd76", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(42)\n", "idx = np.random.randint(len(y), size=50)\n", "mask = np.zeros(len(y), dtype=bool)\n", "mask[idx] = True\n", "mask[~idx] = False\n", "\n", "X_test = X[mask, :]\n", "y_test = y[mask, :]\n", "X_train = X[~mask, :]\n", "y_train = y[~mask, :]\n", "\n", "plt.plot(X_train, y_train)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "a063015d-4764-4337-ac99-d2fb015ebcfb", "metadata": {}, "source": [ "## Training _Gpx_" ] }, { "cell_type": "code", "execution_count": 7, "id": "98e9f3e2-c589-4257-9559-83e18d0d8f65", "metadata": {}, "outputs": [], "source": [ "import egobox as egx\n", "\n", "# We train with linear regression (as we see a linear trend) \n", "# and absolute exponential correlation (as the target function shows a non differentiable behaviour)\n", "gpmix = egx.Gpx.builder(regr_spec=egx.RegressionSpec.LINEAR, corr_spec=egx.CorrelationSpec.ABSOLUTE_EXPONENTIAL)\n", "# When in doubt you can train on all regression/correlati\n", "# on combinations, but it takes more time\n", "# gpmix = egx.GpMix(regr_spec=egx.RegressionSpec.ALL, corr_spec=egx.CorrelationSpec.ALL)\n", "gpx = gpmix.fit(X_train, y_train)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "fcdbaea0-1e8d-4398-96fb-418f06a0718e", "metadata": {}, "source": [ "## Using _Gpx_\n", "\n", "We predict on the test dataset" ] }, { "cell_type": "code", "execution_count": 8, "id": "123b60b7-5ed9-4ab7-9e5c-4a77b00086b6", "metadata": {}, "outputs": [], "source": [ "y_pred = gpx.predict(X_test)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "88e2f173-11f9-437c-b6cf-e5387920aaf3", "metadata": {}, "source": [ "We plot `y_pred` vs `y_test` to get an idea of the quality of the model " ] }, { "cell_type": "code", "execution_count": 9, "id": "30f1b213-fae0-49a1-a6b9-b7ecfe8a93b7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'y prediction')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(y_test, y_test, '-')\n", "plt.xlabel(\"y true\")\n", "plt.plot(y_test, y_pred, 'o')\n", "plt.ylabel(\"y prediction\")" ] }, { "cell_type": "code", "execution_count": 10, "id": "61b8ee30-85b3-477c-a1fd-416b1968d4a4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X_test = np.linspace(start=1958, stop=1990, num=1000).reshape(-1, 1)\n", "y_test = gpx.predict(X_test)\n", "plt.plot(X, y)\n", "plt.plot(X_test, y_test)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 5 }