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Implementation method of Softmax regression function under Python

高洛峰
高洛峰Original
2017-02-03 16:49:582375browse

Softmax regression function is used to normalize the classification results. But it is different from the general normalization method according to proportion. It normalizes through logarithmic transformation, so that larger values ​​gain more during the normalization process.

Softmax formula

Implementation method of Softmax regression function under Python

##Softmax implementation method 1

import numpy as np
def softmax(x):
 """Compute softmax values for each sets of scores in x."""
 pass # TODO: Compute and return softmax(x)
 x = np.array(x)
 x = np.exp(x)
 x.astype('float32')
 if x.ndim == 1:
  sumcol = sum(x)
  for i in range(x.size):
   x[i] = x[i]/float(sumcol)
 if x.ndim > 1:
  sumcol = x.sum(axis = 0)
  for row in x:
   for i in range(row.size):
    row[i] = row[i]/float(sumcol[i])
 return x
#测试结果
scores = [3.0,1.0, 0.2]
print softmax(scores)

The calculation results are as follows :

[ 0.8360188 0.11314284 0.05083836]

Softmax implementation method 2

import numpy as np
def softmax(x):
 return np.exp(x)/np.sum(np.exp(x),axis=0)
 
#测试结果
scores = [3.0,1.0, 0.2]
print softmax(scores)

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