Skip to content

Instantly share code, notes, and snippets.

@julian-carpenter
Created February 6, 2018 16:53
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 julian-carpenter/a5254cc6090b150f4d99ec6af6c131be to your computer and use it in GitHub Desktop.
Save julian-carpenter/a5254cc6090b150f4d99ec6af6c131be to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"metadata": {
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "import numpy as np\nimport matplotlib.pyplot as plt\nimport seaborn as sns\nsns.set_style('whitegrid')",
"execution_count": 11,
"outputs": []
},
{
"metadata": {
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "def fun(x):\n return (np.tanh(x)*(np.sin(x)+np.cos(x)))*np.exp(2*x/np.pi)\n\nx_data = np.linspace(-1.5*np.pi,1.5*np.pi,2500)\ny_data = fun(x_data)\n\nx_measured = np.sort(np.random.choice(x_data,size=int(len(x_data)/5)))\ny_measured = fun(x_measured)+np.random.randn(len(x_measured))*2",
"execution_count": 12,
"outputs": []
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "plt.figure(figsize=(16,9))\nplt.plot(x_data, y_data,'-', x_measured, y_measured,'.')\nplt.show()",
"execution_count": 13,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f2fe2477390>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA6MAAAIFCAYAAAAnVCtbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "bias_variance = []\nplt.figure(figsize=(16,9))\nplt.plot(x_data, y_data,'-',alpha=.25, label='True Data')\nplt.plot(x_measured, y_measured,'.', label='Measured Data')\nfor order in range(2,12,2):\n fitted_data = np.poly1d(np.polyfit(x_measured, y_measured, order))\n plt.plot(x_data, fitted_data(x_data),'--', label='Fit of order: {}'.format(order))\n bias_variance.append((order, np.mean(fitted_data(x_data)-y_data), np.var(fitted_data(x_data))))\n print('Order: {} Bias: {:.05f} Variance: {:.05f}'.format(order, bias_variance[-1][1], bias_variance[-1][2]))\nplt.legend(bbox_to_anchor=(1.15, 1.0),facecolor='w')\n#plt.ylim([-2.75,2.75])\nplt.show()",
"execution_count": 14,
"outputs": [
{
"output_type": "stream",
"text": "Order: 2 Bias: 0.22432 Variance: 33.18780\nOrder: 4 Bias: 0.09646 Variance: 38.17127\nOrder: 6 Bias: 0.10740 Variance: 40.67149\nOrder: 8 Bias: 0.07419 Variance: 40.70534\nOrder: 10 Bias: 0.07543 Variance: 40.70475\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f2fe2460048>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAABCQAAAIFCAYAAAAKtiygAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "from scipy.signal import savgol_filter\n\nbias_variance = bias_variance\norder = [item[0] for item in bias_variance]\nbias = [np.abs(item[1]) for item in bias_variance]\nvariance = [item[2] for item in bias_variance]\nplt.figure(figsize=(16,9))\nplt.plot(order, savgol_filter(bias,5,4), label='Bias')\nplt.legend(bbox_to_anchor=(0.95, 0.9),facecolor='w')\nplt.twinx()\nplt.grid(False)\nplt.plot(order, savgol_filter(variance,5,4),color='r', label='Variance')\nplt.legend(bbox_to_anchor=(0.95, 0.865),facecolor='w')\nplt.show()",
"execution_count": 15,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f2fe24606d8>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA7UAAAIFCAYAAAAN5Nr0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ndx8cLMK55QAAAABJRU5ErkJggg==\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"collapsed": true,
"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": "3.6.4",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment