Step 1: Understanding the learning problems.
Classification is a supervised learning problem where the output is categorical, meaning it takes on a finite set of values, such as "sunny" or "rainy."
Step 2: Analysis of options.
- (A) Classification: Correct, classification is used when the output is categorical.
- (B) Clustering: Incorrect, clustering is an unsupervised technique used for grouping similar data points, not for categorical output.
- (C) Regression: Incorrect, regression deals with predicting continuous values, not categorical ones.
- (D) Optimization: Incorrect, optimization focuses on finding the best solution to a problem but does not specifically involve categorizing data.
Step 3: Conclusion.
The correct answer is (A) Classification.
Find the least upper bound and greatest lower bound of \( S = \{X, Y, Z\} \) if they exist, of the poset whose Hasse diagram is shown below:
Suppose \( D_1 = (S_1, \Sigma, q_1, F_1, \delta_1) \) and \( D_2 = (S_2, \Sigma, q_2, F_2, \delta_2) \) are finite automata accepting languages \( L_1 \) and \( L_2 \), respectively. Then, which of the following languages will also be accepted by the finite automata:
(A) \( L_1 \cup L_2 \)
(B) \( L_1 \cap L_2 \)
(C) \( L_1 - L_2 \)
(D) \( L_2 - L_1 \)
Choose the correct answer from the options given below: