0.0 Activity

Prompt

Calculate the output of this unit:

Solution

To determine the output of this unit, we need to follow these steps:

  1. Compute \(a_j\): This is the weighted sum of the inputs. The inputs and their corresponding weights (given next to the arrows) are:

\[ (1.0×0.5)+(1.0×1.0)+(0.0×1.0)+(−1.0×1.0)+(1.0×0.5)+(0.0×1.0) \]

  1. Perform the calculations:

\[ (0.5)+(1.0)+(0.0)+(−1.0)+(0.5)+(0.0)=1.0 \]

  • So, \(a_j=1.0\)

  1. Apply the ReLU activation function:

    The output is given by:

\[ oj​=\text{max}(0,a_j​)=\text{max}(0,1.0)=1.0 \]

Final Answer

  • \(a_j=1.0\)

  • \(o_j=1.0\)