python 画sigmoid、tanh、relu和ELU等**函数
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2022-05-22 11:23:17
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1、前言
写毕业论文时候画了**函数的函数图,也是参考别人的代码做的,我将格式统一了一些,现在分享出来。
2、代码
2.1 sigmoid和tanh
import math
import matplotlib.pyplot as plt
import numpy as np
import matplotlib as mpl
mpl.rcParams['axes.unicode_minus'] = False
def sigmoid(x):
result = 1/(1+math.e**(-x))
return result
fig = plt.figure(figsize=(10,4))
ax = fig.add_subplot(121)
x = np.linspace(-10,10)
y = sigmoid(x)
ax.spines['top'].set_color('none')
ax.spines['right'].set_color('none')
ax.xaxis.set_ticks_position('bottom')
ax.spines['bottom'].set_position(('data',0))
ax.set_xticks([-10,-5,0,5,10])
ax.yaxis.set_ticks_position('left')
ax.spines['left'].set_position(('data',0))
ax.set_yticks([-1,-0.5,0.5,1])
plt.plot(x,y,label = "Sigmoid",linestyle='-',color='blue')
plt.legend()
def tanh(x):
#result = np.exp(x)-np.exp(-x)/np.exp(x)+np.exp(-x)
result = (math.e**(x) - math.e**(-x)) / (math.e**(x) + math.e**(-x))
return result
ax = fig.add_subplot(122)
x = np.linspace(-10,10)
y = tanh(x)
ax.spines['top'].set_color('none')
ax.spines['right'].set_color('none')
ax.xaxis.set_ticks_position('bottom')
ax.spines['bottom'].set_position(('data',0))
ax.set_xticks([-10,-5,0,5,10])
ax.yaxis.set_ticks_position('left')
ax.spines['left'].set_position(('data',0))
ax.set_yticks([-1,-0.5,0.5,1])
plt.plot(x,y,label = "Tanh",linestyle='-',color='blue')
plt.legend()
plt.savefig('sigmoid and tanh.png',dpi=200)
2.2 relu和ELU
import math
import matplotlib.pyplot as plt
import numpy as np
import matplotlib as mpl
mpl.rcParams['axes.unicode_minus'] = False
def relu(x):
result=np.maximum(0,x)
return result
fig = plt.figure(figsize=(10,4))
ax = fig.add_subplot(121)
x = np.linspace(-10,10)
y = relu(x)
ax.spines['top'].set_color('none')
ax.spines['right'].set_color('none')
ax.xaxis.set_ticks_position('bottom')
ax.spines['bottom'].set_position(('data',0))
ax.set_xticks([-10,-5,0,5,10])
ax.yaxis.set_ticks_position('left')
ax.spines['left'].set_position(('data',0))
ax.set_yticks([5,10])
plt.plot(x,y,label = "Relu",linestyle='-',color='blue')
plt.legend()
def elu(x,alpha=1):
a = x[x>0]
b = alpha*(math.e**(x[x<0])-1)
result=np.concatenate((b,a),axis=0)
return result
ax = fig.add_subplot(122)
x = np.linspace(-10,10)
y = elu(x)
ax.spines['top'].set_color('none')
ax.spines['right'].set_color('none')
ax.xaxis.set_ticks_position('bottom')
ax.spines['bottom'].set_position(('data',0))
ax.set_xticks([-10,-5,0,5,10])
ax.yaxis.set_ticks_position('left')
ax.spines['left'].set_position(('data',0))
ax.set_yticks([5,10])
plt.plot(x,y,label = "ELU alpha=1",linestyle='-',color='blue')
plt.legend()
plt.savefig('Relu an ELU.png',dpi=200)
3、结果:
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