SciPy LeastSq未能提供最佳解决方案

时间:2013-06-06 02:03:26

标签: python scipy least-squares

我尝试使用Leastsq来拟合一条非常简单的曲线。但是,其解决方案尚未优化。有人能给我一些建议吗? 以下是我的代码:

from scipy import optimize
import numpy as np

hl_obs = np.array([10.0, 23.0, 20.0])
ph=np.array([5.0,7.0,9.0])

tp=60

def residuals(k_abn, ph, tp, hl_obs):
        hr=np.log(2)/(hl_obs*24.0)
        ph_adj=6013.79/(tp+273.15) + 23.6521*np.log10(tp+273.15)-64.7013
        err = peval(k_abn, ph, ph_adj)-hr
        return err

def peval(k_abn, ph, ph_adj):
    temp= k_abn[0]*np.power(10,-ph) + k_abn[1] + k_abn[2]*np.power(10,(-ph_adj + ph))
    return temp

k_abn =np.array([1, 0, 0])

from scipy.optimize import leastsq
p,ier = leastsq(residuals, k_abn, args=(hl_obs, ph, tp), maxfev=2000000)
print p, ier

从EXCEL的解算器中,我知道解决方案应该是k_abn=[165, 0.001237578, 2.14]。一旦我将Excel的解决方案提供给function peval,它就会生成正确答案......

peval([165,0.001238,2.14], 5.0, 13.01573)=0.002888113
peval([165,0.001238,2.14], 7.0, 13.01573)=0.001255701
peval([165,0.001238,2.14], 9.0, 13.01573)=0.001444057

此外,我尝试使用epsfcn=np.finfo(np.float32).eps来提高精确度 谁能给我一些建议?谢谢!

1 个答案:

答案 0 :(得分:2)

如果按正确的顺序获得args:

p,ier = leastsq(residuals, k_abn, args=(ph, tp, hl_obs), maxfev=2000000)

你得到了结果:

[  1.65096852e+02   1.23712405e-03   2.14392540e+00]
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