Mbzuai Entry Exam Sample Questions Best -

In language modeling, a lower perplexity indicates: a) The model is more "surprised" by the test data. b) The model assigns a higher probability to the test data. c) The model has overfit to the training data. d) The vocabulary size is smaller.

The determinant of a matrix is equal to the product of its eigenvalues. Therefore, . By the properties of determinants, Sample Question 2: Multivariate Calculus Question: Find the gradient of the function at the point Answer: B) Explanation: First, find the partial derivatives. . Evaluating at . Evaluating at .The gradient vector is 3. Domain 2: Probability and Statistics mbzuai entry exam sample questions best

. The second derivative test confirms it is a local minimum because the Hessian matrix is positive definite. 2. Programming & Data Structures In language modeling, a lower perplexity indicates: a)

(b). Perplexity = ( 2^-\frac1N \sum \log_2 p(w_i) ). Lower perplexity = higher probability. MBZUAI uses this to test if you confused perplexity with entropy. d) The vocabulary size is smaller