Machine Learning Quizzes

Quizzes for Maching Learning Course CS405 and CS329 at SUSTech. (Before 2024 Fall Semester)

Quiz 1

Question

, whereis a Gaussian noise.

1. What is the optimal solution for?
2. What is the optimal solution forif?
3. What is the optimal solution forifand?
4. andare unknown, what is the optimal solution for?

Answer

1. ,,
2. ,,
3. ,,
4. We can distinguish two cases:
   1. For x:,,
   2. For A:,,

Quiz 2

Question

, whereand

1. What is?
2. What is?
3. What is?
4. What is?

Answer

1. We regardas a constant under conditional probability.
2. .
   
3. Assume that, then we can use the equality of quadratic from to solve the problems.
   3. We can get the result:
      
   4. By applying
      
      where
4. . The same format as question 2.

Quiz 3

1. Learning:
2. Prediction:
3. Evaluation:

Question

Givenwhereand,

1. What is the solution of?
2. What is the solution ofif?
3. What is the predictive distribution if?
4. What is the model evaluation?

Answer

Quiz 4

Question

For, and, where.

1. What is the solution of?
2. What is the solution ofif?
3. What is the predictive distribution if?
4. What is the model evaluation?

Answer

1. Becauseis not a linear function, there are no explicit solution to find. We can use the gradient descent method to find the solution.

2. Therefore,and