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@justinhou95
Created March 1, 2022 12:52
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{
"cells": [
{
"cell_type": "code",
"execution_count": 20,
"id": "92298c88",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from scipy.interpolate import BPoly\n",
"import matplotlib.pyplot as plt\n",
"import solution2 "
]
},
{
"cell_type": "markdown",
"id": "45d6fd55",
"metadata": {},
"source": [
"## Questions:\n",
"- Code the Berstein approximation (Use scipy.interpolate.BPoly)\n",
"- What happens when N = 2000? \n",
"- Does Chebyshev polynomials solve this problem? \n",
"- Does Chebyshev series expansion converges in L2? pointwise? uniformly?"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "4311ffcd",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ber_approx = solution2.ber_approx # Comment this line and write your own ber_approx here\n",
"\n",
"\n",
"plt.figure(figsize = [15,5])\n",
"f = lambda x: np.sin(50*x)\n",
"x_plot = np.linspace(0,1,10001)\n",
"\n",
"for N in [10,100,1000,2000]:\n",
" bp = ber_approx(f,N)\n",
" plt.plot(x_plot,bp(x_plot))\n",
"\n",
"\n",
"plt.plot(x_plot,f(x_plot))\n",
"plt.legend(['Ber10','Ber100','Ber1000','Ber2000','True'])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "6905baf4",
"metadata": {},
"source": [
"### References:\n",
"- https://en.wikipedia.org/wiki/Chebyshev_polynomials\n",
"- http://inis.jinr.ru/sl/M_Mathematics/MRef_References/Mason,%20Hanscomb.%20Chebyshev%20polynomials%20(2003)/C0355-Ch05.pdf "
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.8.12 64-bit ('deep_hedge': conda)",
"language": "python",
"name": "python3812jvsc74a57bd0d42c10dd17494b873eaf240106df0a13a9aa441e372cea07a522242d1d1c2655"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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