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python 自定义函数表达式拟合求系数

2018-11-09 02:38:22来源：博客园阅读 ()

https://docs.scipy.org/doc/scipy/reference/tutorial/integrate.html

https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.curve_fit.html

https://blog.csdn.net/weixin_36602742/article/details/53469011

https://blog.csdn.net/changdejie/article/details/83089933

import numpy as np
import matplotlib.pyplot as plt
from scipy.optimize import curve_fit

def func(x, a, b, c):
　　return a * np.exp(-b * x) + c

#Define the data to be fit with some noise:
xdata = np.linspace(0, 4, 50)
y = func(xdata, 2.5, 1.3, 0.5)
np.random.seed(1729)
y_noise = 0.2 * np.random.normal(size=xdata.size)
ydata = y + y_noise
plt.plot(xdata, ydata, 'b-', label='data')

#Fit for the parameters a, b, c of the function func:
popt, pcov = curve_fit(func, xdata, ydata)
print popt
plt.plot(xdata, func(xdata, *popt), 'r-',
label='fit: a=%5.3f, b=%5.3f, c=%5.3f' % tuple(popt))

#Constrain the optimization to the region of 0 <= a <= 3, 0 <= b <= 1 and 0 <= c <= 0.5:
popt, pcov = curve_fit(func, xdata, ydata, bounds=(0, [3., 1., 0.5]))
print popt
plt.plot(xdata, func(xdata, *popt), 'g--',
label='fit: a=%5.3f, b=%5.3f, c=%5.3f' % tuple(popt))

plt.xlabel('x')
plt.ylabel('y')
plt.legend()
plt.show()