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{
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import pretty_plots # script to set up LaTex and increase line-width and font size\n",
"from scipy.optimize import curve_fit"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"pretty_plots.setdefaults()\n",
"pi=np.pi"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Regression vs Interpolation"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"General Rule of thumb:\n",
"\n",
"- Fit data to reduce noise or get physical constants\n",
"\n",
"- Interpolate between *trusted* data points\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"In general, you may want to fit other polynomials besides degree-1 (straight-lines)\n",
"\n",
"$y=a_{0}+a_{1}x+a_{2}x^{2}+\\cdots+a_{m}x^{m}+e$\n",
"\n",
"Now, the solution for $a_{0},~a_{1},...a_{m}$ is the minimization of m+1-dependent linear equations. \n",
"\n",
"Consider the following data:\n",
"\n",
"| t (s) | y (m) |\n",
"|---|---|\n",
"| 0.00 | 21.50 |\n",
"| 2.00 | 20.84 |\n",
"| 4.00 | 23.19 |\n",
"| 6.00 | 22.69 |\n",
"| 8.00 | 30.27 |\n",
"| 10.00 | 40.11 |\n",
"| 12.00 | 43.31 |\n",
"| 14.00 | 54.79 |\n",
"| 16.00 | 70.88 |\n",
"| 18.00 | 89.48 |"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'position (m)')"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x=np.array([0,2,4,6,8,10,12,14,16,18])\n",
"y=np.array([21.5,20.84,23.19,22.69,30.27,40.11,43.31,54.79,70.88,89.48])\n",
"plt.plot(x,y,'s')\n",
"plt.xlabel('time (s)')\n",
"plt.ylabel('position (m)')"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### General Coefficient of Determination\n",
"\n",
"$r^{2}=\\frac{S_{t}-S_{r}}{S_{t}}=1-\\frac{S_{r}}{S_t}$\n",
"\n",
"$S_t = std(y)$\n",
"\n",
"$S_r = std(y-f(x))$"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"coefficient of determination is 0.91\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def f2(x,A1,A2,A3):\n",
" return A1+A2*x**1+A3*x**2\n",
"\n",
"Aopt,pcov=curve_fit(f2,x,y,p0=([1,1,1]))\n",
"A,B,C=Aopt\n",
"plt.plot(x,f2(x,A,B,C))\n",
"plt.plot(x,y,'s')\n",
"plt.xlabel('time (s)')\n",
"plt.ylabel('position (m)')\n",
"\n",
"r2=1-np.std(y-f2(x,A,B,C))/np.std(y)\n",
"\n",
"print('coefficient of determination is %1.2f'%r2)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fe7469f5160>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"v_num=np.diff(y)/np.diff(x)\n",
"v_fit=B+2*C*x\n",
"plt.plot(x[0:-1],v_num,label='numerical speed')\n",
"plt.plot(x,v_fit,label='best fit speed')\n",
"plt.xlabel('time (s)')\n",
"plt.ylabel('speed (m/s)')\n",
"plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"**Beware high order functions and high $r^2$ values**"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"coefficient of determination is 1.00\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/conda/lib/python3.6/site-packages/scipy/optimize/minpack.py:794: OptimizeWarning: Covariance of the parameters could not be estimated\n",
" category=OptimizeWarning)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def f9(x,A1,A2,A3,A4,A5,A6,A7,A8,A9,A10):\n",
" return A1+A2*x**1+A3*x**2+A4*x**3+A5*x**4+A6*x**5+A7*x**6+A8*x**7+A9*x**8+A10*x**9\n",
"\n",
"Aopt,pcov=curve_fit(f9,x,y)\n",
"A,B,C,D,E,F,G,H,I,J=Aopt\n",
"xf=np.linspace(min(x),max(x))\n",
"plt.plot(xf,f9(xf,A,B,C,D,E,F,G,H,I,J))\n",
"plt.plot(x,y,'s')\n",
"plt.xlabel('time (s)')\n",
"plt.ylabel('position (m)')\n",
"\n",
"r2=1-np.std(y-f9(x,A,B,C,D,E,F,G,H,I,J))/np.std(y)\n",
"\n",
"print('coefficient of determination is %1.2f'%r2)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Using interpolation splines\n",
"\n",
"Regression: unwanted noise removed with model\n",
"\n",
"Interpolation: keep calculated data points and *guess* mid-points\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## High Pressure Steam from 0.01-0.1 MPa\n",
"|\tTemp (oC)\t|\tspec vol (m3/kg)\t|\tPressure (Mpa)\t|\n",
"|---|---|---|\n",
"|\t100\t|\t17.20\t|\t0.01\t|\n",
"|\t150\t|\t19.51\t|\t0.01\t|\n",
"|\t200\t|\t21.83\t|\t0.01\t|\n",
"|\t250\t|\t24.14\t|\t0.01\t|\n",
"|\t300\t|\t26.45\t|\t0.01\t|\n",
"|\t350\t|\t28.76\t|\t0.01\t|\n",
"|\t400\t|\t31.06\t|\t0.01\t|\n",
"|\t450\t|\t33.37\t|\t0.01\t|\n",
"|\t500\t|\t35.68\t|\t0.01\t|\n",
"|\t600\t|\t40.30\t|\t0.01\t|\n",
"|\t700\t|\t44.91\t|\t0.01\t|\n",
"|\t800\t|\t49.53\t|\t0.01\t|\n",
"|\t900\t|\t54.14\t|\t0.01\t|\n",
"|\t1000\t|\t58.76\t|\t0.01\t|\n",
"|\t100\t|\t3.419\t|\t0.05\t|\n",
"|\t150\t|\t3.890\t|\t0.05\t|\n",
"|\t200\t|\t4.356\t|\t0.05\t|\n",
"|\t250\t|\t4.821\t|\t0.05\t|\n",
"|\t300\t|\t5.284\t|\t0.05\t|\n",
"|\t350\t|\t5.747\t|\t0.05\t|\n",
"|\t400\t|\t6.209\t|\t0.05\t|\n",
"|\t450\t|\t6.672\t|\t0.05\t|\n",
"|\t500\t|\t7.134\t|\t0.05\t|\n",
"|\t600\t|\t8.058\t|\t0.05\t|\n",
"|\t700\t|\t8.981\t|\t0.05\t|\n",
"|\t800\t|\t9.905\t|\t0.05\t|\n",
"|\t900\t|\t10.828\t|\t0.05\t|\n",
"|\t1000\t|\t11.751\t|\t0.05\t|\n",
"|\t100\t|\t1.696\t|\t0.1\t|\n",
"|\t150\t|\t1.937\t|\t0.1\t|\n",
"|\t200\t|\t2.172\t|\t0.1\t|\n",
"|\t250\t|\t2.406\t|\t0.1\t|\n",
"|\t300\t|\t2.639\t|\t0.1\t|\n",
"|\t350\t|\t2.871\t|\t0.1\t|\n",
"|\t400\t|\t3.103\t|\t0.1\t|\n",
"|\t450\t|\t3.334\t|\t0.1\t|\n",
"|\t500\t|\t3.566\t|\t0.1\t|\n",
"|\t600\t|\t4.028\t|\t0.1\t|\n",
"|\t700\t|\t4.490\t|\t0.1\t|\n",
"|\t800\t|\t4.952\t|\t0.1\t|\n",
"|\t900\t|\t5.414\t|\t0.1\t|\n",
"|\t1000\t|\t5.875\t|\t0.1\t|\n"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fe7485112e8>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"table=np.loadtxt('steam_01-1.csv',delimiter=',',skiprows=1)\n",
"plt.plot(table[0:14,0],table[0:14,1],'o',label='P=0.01 MPa')\n",
"plt.plot(table[14:28,0],table[14:28,1],'o',label='P=0.05 MPa')\n",
"plt.plot(table[28:,0],table[28:,1],'o',label='P=0.1 MPa')\n",
"plt.xlabel('Temp (C)')\n",
"plt.ylabel('spec. vol (m$^3$/kg)')\n",
"plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Fill in P=0.02 MPa T=100-1000 $^o$C "
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fe74854cdd8>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.interpolate import griddata\n",
"Tf=np.linspace(100,1000,15)\n",
"Pf=np.ones(len(Tf))*0.02\n",
"vf=griddata((table[:,0],table[:,2]),table[:,1],(Tf,Pf),method='linear')\n",
"vfc=griddata((table[:,0],table[:,2]),table[:,1],(Tf,Pf),method='cubic')\n",
"plt.plot(Tf,vf,label='P=0.02 MPa linear interp')\n",
"plt.plot(Tf,vfc,label='P=0.02 MPa cubic interp')\n",
"plt.plot(table[0:14,0],table[0:14,1],'o',label='P=0.01 MPa')\n",
"plt.plot(table[14:28,0],table[14:28,1],'o',label='P=0.05 MPa')\n",
"plt.plot(table[28:,0],table[28:,1],'o',label='P=0.1 MPa')\n",
"plt.xlabel('Temp (C)')\n",
"plt.ylabel('spec. vol (m$^3$/kg)')\n",
"plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}