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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.

3 votes
1 answer
221 views

When learning off-policy with multi-step returns, why do we use the current behaviour policy...

When learning off-policy with multi-step returns, we want to update the value of $Q(s_1, a_1)$ using rewards from the trajectory $\tau = (s_1, a_1, r_1, s_2, a_2, r_2, ..., s_n, a_n, r_n, s_n+1)$. We …
Federico Taschin's user avatar
2 votes
1 answer
841 views

How to derive matrix form of the Bellman operators?

Reading the Retrace paper (Safe and efficient off-policy reinforcement learning) I saw they often use a matrix form of the Bellman operators, for example as in the picture below. How do we derive thos …
Federico Taschin's user avatar