澄清感知器的偏见 [英] Clarification on bias of a perceptron

问题描述

如果不存在偏差，通过原点的线应该能够线性分离两个数据集，这不是真的吗?

Isn't it true that if a bias is not present, a line passing through origin should be able to linearly separate the two data sets??

但这是最受欢迎的答案->> 问题说

But the most popular answer in this -->> question says

y                             
^                              
|  - + \\  +                   
| -    +\\ +   +               
| - -    \\ +                  
| -  -  + \\  +                
---------------------> x       
    stuck like this            

对此我感到困惑.您是说上图中的原点在x轴和y轴的中间吗?有人可以帮我澄清一下吗?

I am confused about it. Do you mean the origins in figure above are somewhere in middle of x-axis and y-axis? Can somebody please help me and clarify this?

推荐答案

好的，所以原始ASCII图是并非100％准确！让我尝试再次描述一下:

Alright, so perhaps the original ASCII graph was not 100% accurate! Let me try to depict this again:

            y                                    y
            ^                                    ^
   - + \\   | +                       -\\+       | +
 -     +\\  | +   +                 -   \\ +     | +   +
 - -     \\ |  +                    - -  \\      |  +
 -  -   + \\|    +                  -  -  \\+    |    +
------------------------> x        ---------------------------> x
    - -     |\\    +                   - - \\    |      +
 -   -    + | \\ +                  -   -   \\ + |    +
  -    - -  |  \\  + +               -    - -\\  |      + +
 -- -    -  |  +\\     ++           -- -    - \\ |  +       ++

     stuck like this                  needs to get like this
          y = ax                            y = ax + b
     (w0*x + w1*y = 0)               (w0*x + w1*y + w2*1 = 0)

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