おｂｇｇｂｂ - 経済統計練習帳

import numpy as np
import math
 
def g():
 
    g1=0
    for i in range(number):
        g1=g1+(y[i]-e[4][i])*(y[i]-e[4][i])
 
    return g1
 
def f(ax):
 
    for n in range(number_eq):
        for i in range(number):
            f1=ax[n][0] 
            for j in range(number_var):
                n1=link[n][j+1]
                f1=f1+ax[n][j+1]*e[n1][i]
            n1=link[n][0]
            e[n1][i]=1/(1+math.exp(-f1)) 
 
number=100
number_eq=3
number_var=2
 
x=[]
for i in range(100):
   r1=np.random.random()
   r2=np.random.random()
   x.append([r1,r2])
 
y=[]
for i in range(100):
    r3=0
    h=0
    if 3*x[i][0]+2*x[i][1]>2.5:h=h+1  
    if h==1:r3=1
    y.append(r3)
 
link=[[2,0,1],[3,0,1],[4,2,3]]
e=np.zeros([5,number])
a=np.zeros([number_eq,number_var+1])
 
for eq1 in range(3): 
    for u in range(3):
        a[eq1][u]=np.random.random()
 
print(a)
 
 
for i in range(number):
    e[0][i]=x[i][0]
    e[1][i]=x[i][1]
 
ax=np.zeros([number_eq,number_var+1])
df=np.zeros([number_eq,number_var+1])
 
tr=1
while tr<500:
    tr=tr+1
    f(a)
    g1=g()
 
    for eq1 in range(number_eq): 
      for m in range(number_var+1):
 
 
 
        for eq2 in range(number_eq):
            for i in range(number_var+1):
                ax[eq2][i]=a[eq2][i]
        h=0.01
        ax[eq1][m]=ax[eq1][m]+h
        f(ax)
        g2=g()
        df[eq1][m]=(g2-g1)/h
 
    sig=0
    for eq1 in range(number_eq): 
      for m in range(number_var+1):
        sig=sig+df[eq1][m]*df[eq1][m]
 
    for eq1 in range(number_eq): 
      for m in range(number_var+1):
        ax[eq1][m]=a[eq1][m]-0.01*g1*df[eq1][m]/sig
 
    f(ax)
    g2=g()
 
    if g2<g1:
      for eq1 in range(number_eq): 
        for m in range(number_var+1):
            a[eq1][m]=ax[eq1][m]
    if g2>g1:tr=1000
 
qq=0 
for i in range(number):
    z1=a[0][0]+a[0][1]*x[i][0]+a[0][2]*x[i][1]
    e1=0
    if z1>0:e1=1
    z2=a[1][0]+a[1][1]*x[i][0]+a[1][2]*x[i][1]
    e2=0
    if z2>0:e2=1
    z3=a[2][0]+a[2][1]*e1+a[2][2]*e2
    e3=0
    if z3>0:e3=1
    if y[i]==e3:qq=qq+1
 
print(qq)