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For questions related to the concept of value (or performance, or quality, or utility) function (as defined in reinforcement learning and other AI sub-fields). An example of this type of functions is the Q function (used e.g. in the Q-learning algorithm), also known as the state-action value function, given that $Q: S \times A \rightarrow \mathbb{R}$, where $S$ and $A$ are respectively the set of states and actions of the environment.

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What is the difference between expected return and value function?

I've seen numerous mathematical explanations of reward, value functions $V(s)$, and return functions. The reward provides an immediate return for being in a specific state. The better the reward, the …
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