用感知器实现“与”运算

用感知器实现逻辑运算 - AND （“与”）

# -*- coding: utf-8 -*-
"""
Created on Sat Mar 21 12:01:05 2020

@author: 陨星落云
"""
import pandas as pd

# 设置权重与偏置项
weight1 = 1
weight2 = 1
bias = -1.5

# 输入与输出
test_inputs = [(0,0),(0,1),(1,0),(1,1)]
correct_outputs = [False,False,False,True]
outputs = []

# 生成并检查输出结果
for test_input,correct_output in zip(test_inputs,correct_outputs):
    linear_combination = weight1*test_input[0]+weight2*test_input[1]+bias
    output = int(linear_combination >= 0)
    is_correct_string = 'Yes' if output == correct_output else 'No'
    outputs.append([test_input[0],test_input[1],linear_combination,output,is_correct_string])

# 打印结果
num_wrong = len([output[4] for output in outputs if output[4]=='No'])
output_frame = pd.DataFrame(outputs,columns=['Input1','Input2','linear combination','Activation Output','Is Correct'])
if not num_wrong:
    print('Nice! You got it all correct.\n')
else:
    print('You got {} wrong. Keep tring!\n'.format(num_wrong))
print(output_frame.to_string(index=False))

Nice! You got it all correct.

 Input1  Input2  linear combination  Activation Output Is Correct
      0       0                -1.0                  0        Yes
      0       1                -0.1                  0        Yes
      1       0                -0.1                  0        Yes
      1       1                 0.8                  1        Yes

用感知器实现逻辑运算 - OR （“或”）

OR 感知器和 AND 感知器很相似。在下图中，OR 感知器和 AND 感知器的直线一样，只是直线往下移动了。你可以如何处理权重和/或偏差以实现这一效果？请使用 AND 感知器来创建一个 OR 感知器。