Arrange the following steps in a proper sequence for the process of training a neural network. (A) Weight initialization (B) Feed forward (C) Back Propagation (D) Loss Calculation (E) Weight Update Choose the correct answer from the options given below :
(A), (B), (D), (C), (E)
A neural network is trained by gradient descent: the error of the current prediction is propagated backwards to obtain gradients, which adjust the weights. The loop repeats for many epochs.
Step 1 — Weight initialization (A): weights and biases receive small random values.
Step 2 — Feed forward (B): inputs pass through the layers to produce an output.
Step 3 — Loss Calculation (D): the output is compared with the target using a loss such as mean squared error or cross-entropy.
Step 4 — Back Propagation (C): the chain rule gives \(\partial L / \partial w\) for every weight.
Step 5 — Weight Update (E): \(w \leftarrow w - \eta \, \partial L / \partial w\) with learning rate \(\eta\).
Loss cannot be computed before a forward pass, backpropagation needs the loss, and updates need the gradients, so sequences starting with the loss or the update, or running backpropagation before the forward pass, are invalid.
(A), (B), (D), (C), (E) option is correct.
Consider the two class classification task that consists of the following points :
Class \(C_{1}\) : [-1, -1], [-1, 1], [1, -1]
Class \(C_{2}\) : [1, 1]
The decision boundary between the two classes \(C_{1}\) and \(C_{2}\) using single perceptron is given by :
Consider the two class classification task that consists of the following points :
Class \(C_{1}\) : [1 1.5] [1 -1.5]
Class \(C_{2}\) : [-2 2.5] [-2 -2.5]
The decision boundary between the two classes using single perceptron is given by :
Perceptron learning, Delta learning and LMS learning are learning methods which falls under the category of
Which of the following is/are the application area(s) of ANN ?
(A) Natural Language Processing
(B) Image Processing
(C) Pattern Recognition
(D) Speech Recognition
Choose the correct answer from the options given below :
What is the role of weights in an ANN ?
Which of the following layers may be more than one in number ?
Artificial Neural Networks (ANNs) are inspired by :
What is the role of Back Propagation Algorithm ?
Match List - I with List - II.
| List - I | List - II |
|---|---|
| (A) The activation function | (I) is called the delta rule. |
| (B) The learning method of perceptron | (II) is one of the key components of the perceptron as in the most common neural network architecture. |
| (C) Areas of application of artificial neural network include | (III) is always boolean like a switch. |
| (D) The output of the perceptron | (IV) system identification and control. |
Choose the correct answer from the options given below :
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
A: Artificial Neural Networks are the backbone of deep learning algorithms.
R. Back propagation is one of the techniques used to train an ANN.
In the light of the above statements, choose the most appropriate answer from the options given below:
In a feed forward neural network with the following specifications:
Input layer has 4 neurons, hidden layer has 3 neurons and 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 weights
W3: [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 weights
What is the output of the output layer when the given input values are passed through neural network? Round the answer to two decimal places :
Given that $\eta$ refers to learning rate and $x_i$ refers to the $i^{th}$ input to the neuron, Which of the followings most suitably describes the weight updation rule of a Kohonen SOM? (where 'j' refers to the $j^{th}$ neuron in the lattice)
Consider the following table defining the sample inputs and corresponding target values for a perceptron model.
| Sample No | x1 | x2 | target | w1 | w2 |
| S1 | 0 | 0 | 0 | 0 | 0 |
| S2 | 0 | 1 | 1 | ||
| S3 | 1 | 0 | 1 | ||
| S4 | 1 | 1 | 1 |
What shall be the value of updated weights after applying all the samples S1 to S4 (in the order S1, S2, S3, S4) to this model. Given that the initial weights w1=0, w2=0, learning rate =0.1 and no bias is involved in the perceptron. The activation function for this perceptron is given below
$y_{observed} = \{ \begin{matrix} 1 & \text{if } y_{in} > 0 \\ 0 & \text{if } y_{in} < 0 \end{matrix}$
In a multilayer perceptron, an error signal originates at an output neuron of the network and propagates ___________ through the network.