A 4-input neuron has weights 1, 2, 3, 4. The transfer function is linear with the constant of proportionality being equal to 3. The inputs are 5, 7, 10, 30, respectively 

Then the output will be, 

The correct answer is 507

Key Points

A linear neuron is a basic type of artificial neuron or node in a neural network that performs a linear transformation on its inputs. It is a fundamental building block in the field of neural networks. The output of a linear neuron is computed by taking a weighted sum of its input values and applying a constant factor called the bias or constant of proportionality.

To calculate the output of the neuron, you can use the formula for a linear neuron:

\(\text{Output} = \text{Constant of Proportionality} \times \left(\sum_{i=1}^{n} (\text{Weight}_i \times \text{Input}_i)\right) \)

• In this case:
  • Constant of Proportionality = 3
  • Weights = [1, 2, 3, 4]
  • Inputs = [5, 7, 10, 30]
• So, the output would be:
  • \( \text{Output} = 3 \times (1 \times 5 + 2 \times 7 + 3 \times 10 + 4 \times 30)\)
• Now, calculate the values:
  • \(\text{Output} = 3 \times (5 + 14 + 30 + 120)\)
  • \(\text{Output} = 3 \times 169\)
  • \(\text{Output} = 507\)

Therefore, the correct answer is: 4) 507