Question at position 3 The number of nodes in the input layer of a neural network is 10 and the hidden layer is 5. What is the maximum number of connections from the input layer to the hidden layer?Less than 50It is an arbitrary value50More than 50单项选择题
A
Less than 50
B
It is an arbitrary value
C
50
D
More than 50

Question

Question at position 3 The number of nodes in the input layer of a neural network is 10 and the hidden layer is 5. What is the maximum number of connections from the input layer to the hidden layer?Less than 50It is an arbitrary value50More than 50单项选择题

A

Less than 50

B

It is an arbitrary value

C

50

D

More than 50

BlackTom AI · Accepted Answer

In a fully connected (dense) feedforward network, every input neuron can connect to every neuron in the next (hidden) layer. Therefore the maximum number of connections equals the product of the number of input nodes and the number of hidden nodes.

1) Relevant knowledge points and concepts
- Fully connected (dense) layer: each neuron in one layer has a weight connecting it to each neuron in the next layer.
- Number of connections (weights) between two layers = number of nodes in layer A × number of nodes in layer B.
- Bias terms are separate parameters (one per neuron in the receiving layer) and are not part of the connections counted between the two layers unless explicitly included.

2) Complete reasoning process step by step
- We have 10 nodes in the input layer and 5 nodes in the hidden layer.
- For each input node, there is a potential connection to each hidden node.
- Count connections per input node and sum over all input nodes.

3) Calculations with intermediate steps
- Connections per input node = number of hidden nodes = 5.
- Total connections = number of input nodes × connections per input node = 10 × 5.
- Compute: 10 × 5 = 50.

4) Why the correct answer is correct
- The computed total (50) follows directly from the definition of a fully connected mapping: every input contributes a distinct weight to every hidden neuron. That yields exactly 50 distinct connections (weights).

5) Why the other options are incorrect
- "Less than 50": incorrect because a fully connected arrangement gives 50 connections; “less than 50” would imply some missing connections, which contradicts “maximum number.”
- "It is an arbitrary value": incorrect because the count is determined deterministically by node counts, not arbitrary.
- "More than 50": incorrect unless additional nonstandard connections (e.g., recurrent or extra cross-layer links) are introduced; under standard feedforward connections this is false.

6) Conclusion
- The maximum number of connections from the input layer (10 nodes) to the hidden layer (5 nodes) is 50, matching the provided answer "50."