4.7. Consider a two-layer feedforward ANN with two inputs a and b, one hidden unit c, and one output unit d. This net...
1. Consider a neural network, which contains one hidden layer and an output layer with one output unit. Let the hidden units have negative sigmoid as the activation function, which is formulated as 1 n(v) 1 + exp(-1) and the output unit has a linear activation function in which the output is equal to the activation input). (a) Show that the derivative of the negative sigmoid obeys the following relation dn(v) dv = n(v)(1 + n(v)) (b) Let the cost...
2. (20) Design an artificial neural network with two hidden layers. First hidden layer has s neurons, second hidden layer has 3 neurons. Input parameters are 3, output parameter i s (20) What is the fundemental philosophy in backpropagation training algorithm, Explain detail. 4 (30) Define the following terms and their effects on the performance of ANN. a) Learning factor b) Momentum factor. c) Number of hidden neuron d) Training data e) Initial Weights Target Output
Draw a fully connected neural network with 1 hidden layer where the number of units input, hidden layer, and output layer are 3, 2, 1, respectively. . (5+5+5+5) a. Show all the weight matrices and their dimensions for this neural network. b. Label the network connections using the weight values (e.g., w12, w23). c. Total how many weights do you need to train in this neural network? . Explain supervised and unsupervised learning in your own words. (10) Draw a...
Exercise Optimization in neural network Consider a very simple neural network with two input values, one output value, and a single neuron with sigmoid activation. Each input to the neuron has an associated weight, and the neuron has a bias. So the network represents functions of the form o(W1X1 + W222 + b). We train the neural network using least squares loss on a single piece of training data ((1, -1),0). Initially all weights and biases are set to 1....
5. (10 points) Optimization in neural network Consider a very simple neural network with two input values, one output value, and a single neuron with sigmoid activation. Each input to the neuron has an associated weight, and the neuron has a bias. So the network represents functions of the form o(W121 + W222 +b). We train the neural network using least squares loss on a single piece of training data ((1, -1),0). Initially all weights and biases are set to...