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gpclust_demo.ipynb
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "gpclust_demo.ipynb",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/suzusuzu/6861fd145262988759106563e0159162/gpclust_demo.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "kzHYOD2GU36h",
"colab_type": "code",
"colab": {}
},
"source": [
"# install GPclust\n",
"%cd\n",
"!git clone -b fix-plot https://github.com/suzusuzu/GPclust.git\n",
"%cd GPclust\n",
"!pip install ."
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "pct_QHm7blu5",
"colab_type": "code",
"outputId": "5e28fc33-05de-4fc2-af51-8821840de1b8",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 286
}
},
"source": [
"from GPclust import OMGP, MOG\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"np.random.seed(0)\n",
"N = 100\n",
"X = np.linspace(0.0, 1.0, N).reshape(-1, 1)\n",
"Y1 = np.sin(X) # function 1\n",
"Y2 = np.cos(X) # function 2\n",
"plt.scatter(X, Y1, label='f1')\n",
"plt.scatter(X, Y2, label='f2')\n",
"plt.legend()"
],
"execution_count": 2,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f0a3943a208>"
]
},
"metadata": {
"tags": []
},
"execution_count": 2
},
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "tISkfmw7_iS1",
"colab_type": "code",
"outputId": "2da0919f-1c29-425f-e4bc-4c3c7e479135",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 286
}
},
"source": [
"Y = np.array([np.sin(x) if np.random.random() < 0.5 else np.cos(x) for x in X])\n",
"plt.scatter(X, Y, label='f1? f2?')\n",
"plt.legend()"
],
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f0a43daaf60>"
]
},
"metadata": {
"tags": []
},
"execution_count": 3
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhxTcRURySMFdRCSH/h9O8IIi7v6FCQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "iMYU5kIT_uop",
"colab_type": "code",
"colab": {}
},
"source": [
"m = OMGP(X, Y, K=2, variance=0.01, prior_Z='DP')\n",
"m.optimize(step_length=0.01, maxiter=200)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "P0AIycHwAJBk",
"colab_type": "code",
"outputId": "3d5c4ce2-14b4-4031-91ab-fa622c0b5feb",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 269
}
},
"source": [
"m.plot()"
],
"execution_count": 5,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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PfiII2hEYEXXYiXjAp+PTNbcOgoibSivuLwjoLYC1n//tHg9BT9VaN1pD4VYuRIGjlPvY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\n0O/Bnli2QzyVI5kxCQd8BEs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GEkGUQnwG9ZOP4dzPfaTfAq75/ejl5SWTJn+40bfoVjGa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\nY0wa+//0odvxpaxllQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
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