Gradient Ascent and Descent in Machine Learning

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Questions and Answers

What is the purpose of gradient ascent in maximizing the log-likelihood function?

  • To update the parameters in the direction of the gradient (correct)
  • To compute the partial derivatives of the function
  • To minimize the function
  • To find the local direction of steepest descent

What is the update rule for gradient descent?

  • w ← w * α∇w f(w)
  • w ← w - α∇w f(w) (correct)
  • w ← w + α∇w f(w)
  • w ← w / α∇w f(w)

What is the role of the step size α in gradient ascent?

  • It determines the learning rate of the algorithm (correct)
  • It determines the accuracy of the model
  • It determines the number of iterations required
  • It determines the complexity of the model

What is the purpose of computing the gradient vector?

<p>To obtain the local direction of steepest ascent (A)</p> Signup and view all the answers

What is the goal of using gradient descent in training a neural network?

<p>To minimize the loss function of the model (B)</p> Signup and view all the answers

What is the significance of the gradient vector in gradient descent?

<p>It gives the local direction of steepest descent (C)</p> Signup and view all the answers

What is the purpose of the softmax function in the given context?

<p>To perform normalization to output a probability distribution (D)</p> Signup and view all the answers

What does the expression m(w) represent?

<p>The likelihood of a particular set of weights explaining the observed labels and datapoints (D)</p> Signup and view all the answers

Why is the log-likelihood expression used instead of the likelihood expression?

<p>Because log is an increasing function (C)</p> Signup and view all the answers

What is the difference between a multi-layer perceptron and a multi-layer feedforward neural network?

<p>The type of non-linearity applied (B)</p> Signup and view all the answers

What is the goal of optimizing the weights of a neural network?

<p>To maximize the likelihood of the observed data (A)</p> Signup and view all the answers

What is the advantage of using the log-likelihood expression in mini-batched or stochastic gradient descent?

<p>It is more stable (D)</p> Signup and view all the answers

What is the goal of running gradient ascent on the function m(w)?

<p>To maximize the likelihood of the true class probabilities (C)</p> Signup and view all the answers

What is the main drawback of using batch gradient descent?

<p>It is too slow (A)</p> Signup and view all the answers

What is the purpose of mini-batching?

<p>To speed up gradient descent (C)</p> Signup and view all the answers

What is the limit of mini-batching where the batch size k = 1?

<p>Stochastic gradient descent (SGD) (B)</p> Signup and view all the answers

What is the relation between the number of datapoints in the batch and the computation of gradients?

<p>The number of datapoints in the batch decreases the computation of gradients (B)</p> Signup and view all the answers

What is the goal of updating the parameters w?

<p>To reach a local minimum of the function (C)</p> Signup and view all the answers

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