Skip to content

Instantly share code, notes, and snippets.

@suzusuzu
Last active October 7, 2019 16:35
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save suzusuzu/6861fd145262988759106563e0159162 to your computer and use it in GitHub Desktop.
Save suzusuzu/6861fd145262988759106563e0159162 to your computer and use it in GitHub Desktop.
gpclust_demo.ipynb
Display the source blob
Display the rendered blob
Raw
{
"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": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"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": "iVBORw0KGgoAAAANSUhEUgAAAXEAAAD8CAYAAACB3pQWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nY0wa+//0odvxpaxllQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment