A multilayer neural network is simply a neural network with at least one hidden layer, such as the one in the diagram below.Figure 15. Neural Network with hidden layerIn the example above each neuron in the output layer is connected to all neurons in the hidden layer, and each neuron in the hidden layer is connected to both inputs. How many weights does this network have in total?
Question
A multilayer neural network is simply a neural network with at least one hidden layer, such as the one in the diagram below.Figure 15. Neural Network with hidden layerIn the example above each neuron in the output layer is connected to all neurons in the hidden layer, and each neuron in the hidden layer is connected to both inputs. How many weights does this network have in total?
Solution
To calculate the total number of weights in a neural network, you need to consider the connections between each layer of neurons.
In the given example, it's mentioned that each neuron in the output layer is connected to all neurons in the hidden layer, and each neuron in the hidden layer is connected to both inputs. However, the exact number of neurons in each layer is not specified in the question.
Let's assume that there are 'a' neurons in the input layer, 'b' neurons in the hidden layer, and 'c' neurons in the output layer.
The number of weights between the input and hidden layer would be a*b (since each input neuron is connected to each hidden neuron).
Similarly, the number of weights between the hidden and output layer would be b*c (since each hidden neuron is connected to each output neuron).
So, the total number of weights in the network would be (ab) + (bc).
Without the specific numbers of neurons in each layer, we can't provide a numerical answer.
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In a feed-forward neural network with the following specifications:The input layer has 4 neurons, the hidden layer has 3 neurons, and the output layer has 2 neurons using the sigmoid activation function for given input values [0.5, 0.8, 0.2, 0.6] as well as the initial weights for the connections.W1: [0.1, 0.3, 0.5, 0.2]W2: [0.2, 0.4, 0.6, 0.2] Input layer to hidden layer weightsW3: [0.3, 0.5, 0.7, 0.2]W4: [0.4, 0.1, 0.3]W5: [0.5, 0.2, 0.4] Hidden layer to output layer weightsWhat is the output of the output layer when the given input values are passed through the neural network? Round the answer to two decimal places:Question 29Answera.[0.72, 0.78]b.[0.62, 0.68]c.[0.82, 0.88]d.[0.92, 0.98]
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