拟合单指数衰减误差python

问题描述 投票:0回答:1

我有两个数组,将导致df_intensity_01与df_time的图。

df_time
[[  0  10  20  30  40  50  60  70  80  90 100 110 120 130 140 150 160 170
  180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350
  360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530
  540 550 560 570 580 590 600 610 620 630 640 650 660 670 680 690 700 710
  720 730 740 750 760 770 780 790 800]]

df_intensity_01
[1.         0.98666909 0.935487   0.91008815 0.86347009 0.81356788
 0.79591582 0.78624289 0.76503846 0.75105705 0.72333501 0.67815733
 0.69481674 0.68321344 0.66108185 0.65859392 0.64047511 0.63100282
 0.63605049 0.6248548  0.60341172 0.57538132 0.57952294 0.57901395
 0.56353725 0.56164702 0.55901125 0.54833934 0.53271058 0.52880127
 0.52268282 0.51111965 0.5067436  0.49988595 0.49689326 0.48888879
 0.48247889 0.4790469  0.47320723 0.46156169 0.45921527 0.4592913
 0.45104607 0.44445031 0.44618426 0.43893589 0.42988811 0.42887013
 0.42842872 0.41952032 0.41286965 0.41392143 0.41175663 0.40432874
 0.39645523 0.39813004 0.38932936 0.38264912 0.38094263 0.3855869
 0.38378537 0.37570065 0.37573022 0.37550635 0.36941113 0.36502241
 0.36607629 0.36624103 0.36163477 0.35550154 0.35627875 0.35421111
 0.34858053 0.34767026 0.34967665 0.34818347 0.34007975 0.34139552
 0.34017057 0.33732993 0.33320098]

我正在尝试将数据拟合到单个指数衰减函数,在此我提供了拟合的初始系数。

def func(x, a, b, c):
    return a * np.exp(-b * x) + c
xdata = df_time
guess=[1,0.001,0]
ydata = df_intensity
plt.plot(xdata, ydata, 'b-', label='data')
popt, pcov = curve_fit(func, xdata, ydata,p0=guess)
popt

plt.plot(xdata, func(xdata, *popt), 'r-',
         label='fit: a=%5.3f, b=%5.3f, c=%5.3f' % tuple(popt))
plt.xlabel('x')
plt.ylabel('y')

我收到一个我真的不知道如何解决的错误:

---------------------------------------------------------------------------
ValueError                                Traceback (most recent call last)
ValueError: object too deep for desired array

---------------------------------------------------------------------------
error                                     Traceback (most recent call last)
<ipython-input-62-97bcc77fc6c7> in <module>
      5 ydata = df_intensity
      6 plt.plot(xdata, ydata, 'b-', label='data')
----> 7 popt, pcov = curve_fit(func, xdata, ydata,p0=guess)
      8 popt
      9 

/anaconda3/lib/python3.7/site-packages/scipy/optimize/minpack.py in curve_fit(f, xdata, ydata, p0, sigma, absolute_sigma, check_finite, bounds, method, jac, **kwargs)
    749         # Remove full_output from kwargs, otherwise we're passing it in twice.
    750         return_full = kwargs.pop('full_output', False)
--> 751         res = leastsq(func, p0, Dfun=jac, full_output=1, **kwargs)
    752         popt, pcov, infodict, errmsg, ier = res
    753         cost = np.sum(infodict['fvec'] ** 2)

/anaconda3/lib/python3.7/site-packages/scipy/optimize/minpack.py in leastsq(func, x0, args, Dfun, full_output, col_deriv, ftol, xtol, gtol, maxfev, epsfcn, factor, diag)
    392         with _MINPACK_LOCK:
    393             retval = _minpack._lmdif(func, x0, args, full_output, ftol, xtol,
--> 394                                      gtol, maxfev, epsfcn, factor, diag)
    395     else:
    396         if col_deriv:

error: Result from function call is not a proper array of floats.
python scipy curve-fitting exponential
1个回答
0
投票

首先,您需要将两个输入都作为一维数组(只有一组括号:[ ])。当前,看来df_time是2D数组,它似乎是您发布的错误的来源。

然后,在绘制数据时,请记住需要评估函数对于x的每个值,以便xy数组的长度相同。您可以通过列表理解来做到这一点,记住将x值转换为float,以便可以将它们传递给函数:

plt.plot(xdata, [func(float(x), *popt) for x in xdata], 'r-',
         label='fit: a=%5.3f, b=%5.3f, c=%5.3f' % tuple(popt))

整个工作代码如下:

df_time = ['0', '10', '20', '30', '40', '50', '60', '70', '80', '90', '100',
           '110', '120', '130', '140', '150', '160', '170', '180', '190', '200',
           '210', '220', '230', '240', '250', '260', '270', '280', '290', '300',
           '310', '320', '330', '340', '350', '360', '370', '380', '390', '400',
           '410', '420', '430', '440', '450', '460', '470', '480', '490', '500',
           '510', '520', '530', '540', '550', '560', '570', '580', '590', '600',
           '610', '620', '630', '640', '650', '660', '670', '680', '690', '700',
           '710', '720', '730', '740', '750', '760', '770', '780', '790', '800']

df_intensity = ['1.', '0.98666909', '0.935487', '0.91008815', '0.86347009', '0.81356788',
                '0.79591582', '0.78624289', '0.76503846', '0.75105705', '0.72333501', '0.67815733',
                '0.69481674', '0.68321344', '0.66108185', '0.65859392', '0.64047511', '0.63100282',
                '0.63605049', '0.6248548', '0.60341172', '0.57538132', '0.57952294', '0.57901395',
                '0.56353725', '0.56164702', '0.55901125', '0.54833934', '0.53271058', '0.52880127',
                '0.52268282', '0.51111965', '0.5067436', '0.49988595', '0.49689326', '0.48888879',
                '0.48247889', '0.4790469', '0.47320723', '0.46156169', '0.45921527', '0.4592913',
                '0.45104607', '0.44445031', '0.44618426', '0.43893589', '0.42988811', '0.42887013',
                '0.42842872', '0.41952032', '0.41286965', '0.41392143', '0.41175663', '0.40432874',
                '0.39645523', '0.39813004', '0.38932936', '0.38264912', '0.38094263', '0.3855869',
                '0.38378537', '0.37570065', '0.37573022', '0.37550635', '0.36941113', '0.36502241',
                '0.36607629', '0.36624103', '0.36163477', '0.35550154', '0.35627875', '0.35421111',
                '0.34858053', '0.34767026', '0.34967665', '0.34818347', '0.34007975', '0.34139552',
                '0.34017057', '0.33732993', '0.33320098']

from scipy.optimize import curve_fit

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

xdata = [float(x) for x in df_time]
guess=[1,0.001,0]
ydata = df_intensity
plt.plot(xdata, ydata, 'b-', label='data')

popt, pcov = curve_fit(func, xdata, ydata,p0=guess)

fig = plt.figure()  # created a 2nd figure for 2nd plot

plt.plot(xdata, [func(float(x), *popt) for x in xdata], 'r-',
         label='fit: a=%5.3f, b=%5.3f, c=%5.3f' % tuple(popt))
plt.xlabel('x')
plt.ylabel('y');
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