Consider the following statements about a perception : I. Feature detector can…

2014

Consider the following statements about a perception :

I. Feature detector can be any function of the input parameters.

II. Learning procedure only adjusts the connection weights to the output layer.

Identify the correct statement out of the following :

  1. A.

    I is false and II is false.

  2. B.

    I is true and II is false.

  3. C.

    I is false and II is true.

  4. D.

    I is true and II is true.

Attempted by 67 students.

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Correct answer: D

Answer: Both statements are true. Explanation:

  • Statement I — The feature detector can be any function of the input parameters.

    In the perceptron model inputs are commonly transformed by a feature mapping φ(x). The model computes y = sign(w · φ(x) + b). The mapping φ can be any fixed function (including non-linear transforms or kernel-induced mappings), so statement I is true.

  • Statement II — The learning procedure only adjusts the connection weights to the output layer.

    In the basic perceptron the feature mapping φ is fixed and not learned. The learning algorithm updates only the weight vector w (and bias b) that connects the features to the output. For a misclassified example with target t ∈ {−1,+1}, a common update is w ← w + t·φ(x) (optionally scaled by a learning rate). This shows statement II is true.

Therefore both statements are true; the correct choice is the one that states both I and II are true.

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