Hill-Climbing approach stuck for which of the following reasons? A. Local maxima B. Ridges C. Plateaux D. All of the mentioned

Local maxima
Ridges
Plateaux
All of the mentioned

The correct answer is D. All of the mentioned.

Hill climbing is a local search algorithm that starts at a given point and repeatedly moves to neighboring points that are better (according to a given criterion) until it reaches a local optimum. However, hill climbing can get stuck in local maxima, ridges, or plateaus.

A local maximum is a point where the objective function is greater than or equal to its value at all neighboring points. A ridge is a set of points where the objective function is constant. A plateau is a set of points where the objective function is almost constant.

Hill climbing can get stuck in a local maximum because it always moves to a neighboring point that is better than the current point. However, if the current point is a local maximum, then all of the neighboring points will also be local maxima, and hill climbing will never be able to escape.

Hill climbing can also get stuck in a ridge or plateau because it always moves to a neighboring point that is better than the current point. However, if the current point is on a ridge or plateau, then all of the neighboring points will also be on the ridge or plateau, and hill climbing will never be able to escape.

To avoid getting stuck in local maxima, ridges, or plateaus, it is often helpful to use a more sophisticated search algorithm, such as simulated annealing or genetic algorithms.