Created
July 25, 2016 16:31
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XOR perseptron
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import numpy as np | |
def S(x): | |
return 1/(1+np.exp(-x)) | |
win = np.random.randn(2,2) | |
wout = np.random.randn(2,1) | |
eta = 0.25 | |
# dummy values used to see if everything is correct manually | |
# win = [[1,1], [2,2]] | |
# wout = [[1],[2]] | |
obj = [[0,0],[1,0],[0,1],[1,1]] | |
target = [0,1,1,0] | |
epoch = int(100000) | |
emajor = "" | |
for r in range(0,epoch): | |
finalError = [0] | |
for xy in range(len(target)): | |
tar = target[xy] | |
fdata = obj[xy] | |
fdata = S(np.dot(1,fdata)) | |
# print(fdata) | |
hnw = np.dot(fdata,win) | |
hnw = S(np.dot(fdata,win)) | |
# print(hnw) | |
out = np.dot(hnw,wout) | |
out = S(out) | |
diff = tar-out | |
E = 0.5 * np.power(diff,2) | |
finalError += E | |
delta_out = (out-tar)*(out*(1-out)) | |
# print(delta_out) | |
nindelta_out = delta_out * eta | |
wout_change = np.dot(nindelta_out[0], hnw) | |
for x in range(len(wout_change)): | |
change = wout_change[x] | |
wout[x] -= change | |
# I think this np.dot is wrong | |
# delta_in = np.dot(hnw,(1-hnw)) * np.dot(delta_out[0], wout) | |
# so I looped in in the old fashioned way | |
delta_in = [] | |
for x in range(len(hnw)): | |
delta_in = np.append(delta_in, hnw[x]*(1-hnw[x])*delta_out[0]*wout[x]) | |
#eta into delta | |
nindelta_in = eta * delta_in | |
for x in range(len(nindelta_in)): | |
midway = np.dot(nindelta_in[x], fdata) | |
for y in range(len(win)): | |
win[y][x] -= midway[y] | |
emajor += str(finalError[0]) + ",\n" | |
# save it in a file to plot it up | |
f = open('xor.csv','w') | |
f.write(emajor) # python will convert \n to os.linesep | |
f.close() # you can omit in most cases as the destructor will call it |
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