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@sjchoi86
Created October 5, 2020 14:13
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GP example in Python
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# Gaussian process regression"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import numpy as np\nimport matplotlib.pyplot as plt\nfrom mpl_toolkits.axes_grid1 import make_axes_locatable\n\nfrom scipy.spatial import distance\n%matplotlib inline \n%config InlineBackend.figure_format='retina'\nprint (\"Packages loaded.\")",
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": "Packages loaded.\n",
"name": "stdout"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Kernel function"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def k_se(x1,x2,gain=1.0,invlen=1.0):\n \"\"\"\n Squared exponential kernel function\n \"\"\"\n D_sq = distance.cdist(invlen*x1,invlen*x2,'sqeuclidean') \n K = gain*np.exp(-D_sq)\n return K\nprint (\"Done.\")",
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": "Done.\n",
"name": "stdout"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Gaussian process mean and variance \n\n$\\mu(x_*) = k(x_*, x_{data})(k(x_{data},x_{data}+\\epsilon I))^{-1}y_{data}$\n\n$\\sigma^2(x_*) = k(x_*,x_*) - k(x_*, x_{data})(k(x_{data},x_{data}+\\epsilon I))^{-1}k(x_{data},x_*)$"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### 1D example"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "x_data = np.array([[0.2,0.5,1.0]]).T\ny_data = np.array([[1.0,2.0,1.0]]).T\nx_test = np.linspace(start=0,stop=1.0,num=100).reshape((-1,1))\n\ngain,invlen = 1.0,5.0\nk_test = k_se(x_test,x_data,gain=gain,invlen=invlen)\nK = k_se(x_data,x_data,gain=gain,invlen=invlen)\nn = x_data.shape[0]\neps = 1e-8\ninv_K = np.linalg.inv(K+eps*np.eye(n))\nmu_y = np.mean(y_data)\nmu_test = np.matmul(np.matmul(k_test,inv_K),y_data-mu_y)+mu_y\nvar_test = (gain-np.diag(np.matmul(np.matmul(k_test,inv_K),k_test.T))).reshape((-1,1))\n\n# Plot\nplt.figure(figsize=(10,5))\nplt.plot(x_data,y_data,'o',color='k',markersize=10,linewidth=3,label='Trainig Data')\nplt.plot(x_test,mu_test,'-',color='k',linewidth=2,label='GP mu')\nplt.fill_between(x_test.reshape(-1), \n (mu_test-var_test).reshape(-1),\n (mu_test+var_test).reshape(-1),\n alpha=0.2,color='b',label='GP var')\nplt.legend(fontsize=15,loc='lower right')\nplt.show()",
"execution_count": 3,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 720x360 with 1 Axes>",
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\n"
},
"metadata": {
"image/png": {
"width": 597,
"height": 304
},
"needs_background": "light"
}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### 2D example"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def x_grid(x0min,x0max,x0res,x1min,x1max,x1res):\n x0 = np.arange(x0min,x0max,x0res)\n x1 = np.arange(x1min,x1max,x1res)\n xx0,xx1 = np.meshgrid(x0,x1,sparse=False)\n return np.concatenate((xx0.reshape((-1,1)),xx1.reshape((-1,1))),axis=1),x0,x1",
"execution_count": 4,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n_data = 10\nx_data = 10*np.random.rand(n_data,2) - np.array([5,5])\ny_data = 1*np.random.rand(n_data,1)\nx_test,x0_test,x1_test = x_grid(-5,+5,0.1,-5,+5,0.1)\n\ngain,invlen = 1.0,1/2\nk_test = k_se(x_test,x_data,gain=gain,invlen=invlen)\nK = k_se(x_data,x_data,gain=gain,invlen=invlen)\nn = x_data.shape[0]\neps = 1e-8\ninv_K = np.linalg.inv(K+eps*np.eye(n))\nmu_y = np.mean(y_data)\nmu_test = np.matmul(np.matmul(k_test,inv_K),y_data-mu_y)+mu_y\nvar_test = (gain-np.diag(np.matmul(np.matmul(k_test,inv_K),k_test.T))).reshape((-1,1))\n\n# Reshape\nmu_test_grid = mu_test.reshape((x1_test.shape[0],x0_test.shape[0]))\nvar_test_grid = var_test.reshape((x1_test.shape[0],x0_test.shape[0]))\n\n# Plot\nplt.figure(figsize=(7,7))\nax = plt.gca()\nim = plt.imshow(mu_test_grid,extent=(-5,+5,-5,+5),origin='lower',cmap='jet')\nplt.plot(x_data[:,0],x_data[:,1],'o',markersize=15,color='k',mew=3,mfc='w')\nfor i_idx in range(n_data):\n plt.text(x_data[i_idx,0],x_data[i_idx,1],' %.1f'%(y_data[i_idx,0]),\n fontsize=20,verticalalignment='center',)\nplt.title(\"Gaussian process mean\",fontsize=20)\ndivider = make_axes_locatable(ax)\ncax = divider.append_axes(\"right\", size=\"5%\", pad=0.1)\nplt.colorbar(im, cax=cax) \nplt.show()\n\nplt.figure(figsize=(7,7))\nax = plt.gca()\nim = plt.imshow(var_test_grid,extent=(-5,+5,-5,+5),origin='lower',cmap='jet')\nplt.plot(x_data[:,0],x_data[:,1],'o',markersize=15,color='k',mew=3,mfc='w')\nplt.title(\"Gaussian process variance\",fontsize=20)\ndivider = make_axes_locatable(ax)\ncax = divider.append_axes(\"right\", size=\"5%\", pad=0.1)\nplt.colorbar(im, cax=cax) \nplt.show()",
"execution_count": 44,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 504x504 with 2 Axes>",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 449,
"height": 417
},
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 504x504 with 2 Axes>",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 449,
"height": 417
},
"needs_background": "light"
}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.6.7",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"gist": {
"id": "",
"data": {
"description": "GP example in Python",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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