Function scipy.optimize.fmin for python



我正在尝试使用 scipy.optimize.fmin 最小化 khi-square。这是我的函数(它调用另一个模拟函数点扩散)。返回值 (chi) 是两个 khi 值的数组(一个用于全等条件,另一个用于不一致条件),我试图将其最小化:

def chis (a, ter , v , sda , rd):
    ncond=1 
    ntrials = 1000 
    observed_data = np.array ([ [0.9995835, 24.0, 329.5, 357.9, 370.5, 391.5, 457.6, 0.0004164931, 0, 0],#congruent cond
                                [0.6953498, 16,   409.5, 450.5, 481,   529,   546 ,  0.3046502 ,  7 ,350]])#incongruent cond
    q_probs=np.array ([.1,.2,.2,.2,.2,.1])   
    b_probs=np.array([0.501,0.499])   
    cond = np.arange (0, ncond)
    chi = []
    for g in cond:
        if(g==0):
            fl= 1.0   #flankers congruent with target    
        if(g==1):
            fl= -1.0   # incongruent
        #########
        simTRcorrect, simTRerror, simprobc, simprobe = spotdiffusion (a ,ter ,v, sda,rd ,fl, ntrials = 1000)
        #########        
        top_data = observed_data[g,0]*q_probs  
        bot_data=observed_data[g,7]*b_probs    
        pt1 = (len (simTRcorrect [simTRcorrect < observed_data[g, 2]])) /ntrials 
        pt2 = (len (simTRcorrect [(simTRcorrect < observed_data[g, 3]) & (simTRcorrect >= observed_data[g, 2])])) /ntrials
        pt3 = (len (simTRcorrect [(simTRcorrect < observed_data[g, 4]) & (simTRcorrect >= observed_data[g, 3])])) /ntrials 
        pt4 = (len (simTRcorrect [(simTRcorrect < observed_data[g, 5]) & (simTRcorrect >= observed_data[g, 4])])) /ntrials
        pt5 = (len (simTRcorrect [(simTRcorrect < observed_data[g, 6]) & (simTRcorrect >= observed_data[g, 5])])) /ntrials
        pt6=(len (simTRcorrect [simTRcorrect > observed_data[g, 6]])) /ntrials
        pred_p= np.array ([pt1,pt2,pt3,pt4,pt5,pt6])
        top_chi_array = (np.square (top_data-pred_p))/ (pred_p+ 0.001)
        top_chi = np.sum (top_chi_array) 

        pt1 = (len (simTRerror[simTRerror < observed_data[g, 9]]))  /ntrials
        pt2 = (len (simTRerror[simTRerror >= observed_data[g, 9]])) /ntrials
        pred_p=np.array ([pt1,pt2])
        bot_chi_array = (np.square (bot_data-pred_p)) / (pred_p+ 0.001)
        bot_chi= np.sum (bot_chi_array)
        totchi=(bot_chi+top_chi)*(observed_data[g,1]+ observed_data[g,8])

        chi.append (totchi)

    chi = np.array (chi)       
    return chi

以下是安装过程:

x0 = np.array ([0.11, 0.25,0.35,1.7,0.017]) ####for initial guess 
xopt = fmin (chis(a, ter , v , sda , rd), x0, maxiter=300)

我有一个不明白的错误:

Traceback (most recent call last):
  File "<ipython console>", line 1, in <module>
  File "C:Python27libsite-packagesspyderlibwidgetsexternalshellstartup.py", line 128, in runfile
    execfile(filename, glbs)
  File "C:UsersmathieuDesktopmodelingspotlight diffusion modelfitting_spotlight.py", line 245, in <module>
    xopt = fmin (chis(a, ter , v , sda , rd), x0, maxiter=300)
  File "C:Python27libsite-packagesscipyoptimizeoptimize.py", line 257, in fmin
    fsim[0] = func(x0)
  File "C:Python27libsite-packagesscipyoptimizeoptimize.py", line 176, in function_wrapper
    return function(x, *args)
TypeError: 'numpy.float64' object is not callable

有没有人知道出了什么问题?

干杯席

问题出在这一行:

xopt = fmin (chis(a, ter , v , sda , rd), x0, maxiter=300)

表达式

chis(a, ter , v , sda , rd)

是最有可能的数字。它是调用函数 chis 的结果。

相反,我们希望将函数对象chis传递给fmin函数,而无需先调用chis。(如果我们传递chis(a, ter, v, sda, rd)那么fmin只会得到一个数字作为它的第一个参数。如果我们将函数对象chis自身传递,那么fmin可以从fmin体内调用chis它需要的方式。在 Python 中,函数是一等对象。

所以试试吧

xopt = fmin (chis, x0, maxiter=300)

问题似乎两者兼而有之 - 行:

xopt=fmin(chis(a,ter,v,sda,rd),x0,maxiter=300)

应该像前面的用户提到的那样

xopt=fmin(chis,x0,maxiter=300)

但是在一开始,在定义函数的地方,参数应该作为数组给出

而不是

def chis (a, ter , v , sda , rd):

试试这个:

def chis (arrays):
    a=arrays[0]
    ter=arrays[1]
    v=arrays[2]
    sda=arrays[3]
    rd=arrays[4]

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