Give an example of a task environment that is..
Examples for given combinations:
Episodic and Discrete:
Example: Playing a game of tic-tac-toe.
Explanation: In tic-tac-toe, each game is discrete and episodic. The game consists of a finite number of discrete states (the possible board configurations), and each episode (game) has a clear starting point (an empty board) and ending point (win, lose, or draw).
Continuous and Episodic:
Example: Skiing down a mountain.
Explanation: Skiing down a mountain can be considered a continuous and episodic task. Each skiing session is an episode, with a clear starting point (the top of the mountain) and ending point (reaching the bottom or stopping at a certain point). The action space (movements on the slopes) is continuous, as there are infinite possible movements and trajectories.
Continuous, Non-Deterministic, and Non-Episodic:
Example: Autonomous driving in a city.
Explanation: Autonomous driving in a city can be a continuous, non-deterministic, and non-episodic task. The environment is continuous because the car's movement and surroundings form a continuous space (e.g., streets, traffic flow). It's non-deterministic because external factors such as weather conditions, road conditions, and the behavior of other drivers introduce uncertainty into the system. It's non-episodic because there's no clear division between episodes – the driving task continues indefinitely without clear start or end points, especially in urban environments with continuous traffic flow.