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Markov Decision Processes & Q-Learning Verified A+ Q: What is a Markov Decision Process (MDP)? ️️A: An MDP is a mathematical framework used to describe an environment in decision making where outcomes are partly random and partly under the control of a decision maker. Q: How does Q-lear...

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  • October 30, 2024
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Q: What is a Markov Decision Process (MDP)? ✔️✔️A: An MDP is a mathematical framework used to
describe an environment in decision making where outcomes are partly random and partly under the
control of a decision maker.



Q: How does Q-learning work? ✔️✔️A: Q-learning is a model-free reinforcement learning algorithm
that learns the value of an action in a particular state by using Q-values, which are estimates of the
optimal action values.



Q: What is the role of the transition probability in an MDP? ✔️✔️A: The transition probability is the
probability that a particular action in a state will lead to a subsequent state. It is a key component in
defining the dynamics of an MDP.



Q: Define the reward function in the context of MDPs. ✔️✔️A: The reward function assigns a score to
each action at a particular state, which represents the immediate gain from that action, guiding the
agent toward its goal.



Q: What does 'policy' refer to in MDPs? ✔️✔️A: A policy is a strategy or a rule that defines the choice
of action based on the current state. It maps states to actions that maximize the long-term reward.



Q: Explain the Bellman equation. ✔️✔️A: The Bellman equation provides a recursive decomposition
for the value function of a policy. It expresses the value of a state as the sum of the immediate reward
and the discounted value of the next state.



Q: What is an episodic task in the context of reinforcement learning? ✔️✔️A: An episodic task is a task
that has a clear ending, at which point the agent resets to a starting state or a random state. Each
episode ends with a terminal state.



Q: How does temporal difference (TD) learning relate to Q-learning? ✔️✔️A: TD learning is a subset of
Q-learning where the agent learns directly from raw experience without a model of the environment's
dynamics, updating estimates based partially on other learned estimates.

, Q: What is the exploration-exploitation trade-off in Q-learning? ✔️✔️A: The exploration-exploitation
trade-off involves choosing whether to explore the environment to find better rewards in the future or
to exploit known rewards to maximize immediate gain.



Q: What are value functions in the context of MDPs? ✔️✔️A: Value functions estimate how good it is
for an agent to be in a given state, considering the amount of reward the agent expects to accumulate in
the future.



Q: Describe the Q-value or action-value function. ✔️✔️A: The Q-value function provides the value of
taking an action in a given state under a specific policy, predicting expected future rewards.



Q: What is the difference between model-based and model-free reinforcement learning? ✔️✔️A:
Model-based methods require knowledge of the environment's model (transitions and rewards),
whereas model-free methods, like Q-learning, do not use such knowledge and learn policies directly
from interactions with the environment.



Q: Explain the significance of the discount factor in reinforcement learning. ✔️✔️A: The discount
factor, denoted as gamma (𝛾), determines the present value of future rewards; a lower value places
more emphasis on immediate rewards, while a higher value favors long-term rewards.



Q: What does it mean for an MDP to be 'solved'? ✔️✔️A: Solving an MDP means finding an optimal
policy that maximizes the expected return from all states, typically through methods like value iteration
or policy iteration.



Q: How does the ε-greedy strategy mitigate the exploration-exploitation dilemma? ✔️✔️A: The ε-
greedy strategy involves choosing a random action with probability ε (exploration) and the best-known
action with probability 1-ε (exploitation), balancing the two approaches.



Q: What is the role of the learning rate in Q-learning? ✔️✔️A: The learning rate, or alpha (α),
determines the extent to which new information overrides old information. A higher learning rate
means that newer information is considered more heavily.



Q: Describe how the update rule in Q-learning adjusts the Q-values. ✔️✔️A: In Q-learning, the update
rule adjusts Q-values based on the difference between the estimated Q-value and the observed reward
plus the discounted maximum future Q-value, refining the policy to better predict optimal actions.

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