看一下将任意曲线拟合到数据的答案。基本上,您可以使用它scipy.optimize.curve_fit
来使您想要的任何功能适合您的数据。下面的代码显示了如何使高斯拟合某些随机数据(此SciPy-User邮件列表帖子的贷方)。
import numpy
from scipy.optimize import curve_fit
import matplotlib.pyplot as plt
# Define some test data which is close to Gaussian
data = numpy.random.normal(size=10000)
hist, bin_edges = numpy.histogram(data, density=True)
bin_centres = (bin_edges[:-1] + bin_edges[1:])/2
# Define model function to be used to fit to the data above:
def gauss(x, *p):
A, mu, sigma = p
return A*numpy.exp(-(x-mu)**2/(2.*sigma**2))
# p0 is the initial guess for the fitting coefficients (A, mu and sigma above)
p0 = [1., 0., 1.]
coeff, var_matrix = curve_fit(gauss, bin_centres, hist, p0=p0)
# Get the fitted curve
hist_fit = gauss(bin_centres, *coeff)
plt.plot(bin_centres, hist, label='Test data')
plt.plot(bin_centres, hist_fit, label='Fitted data')
# Finally, lets get the fitting parameters, i.e. the mean and standard deviation:
print 'Fitted mean = ', coeff[1]
print 'Fitted standard deviation = ', coeff[2]
plt.show()