Talks and tutorials on RL

Value and Q-value recursion

There are two forms the expected reward for a given state is encoded:

  • v-function:
  • q-function:

The v-function is the expected reward given a state whilst the q-function is for a state and action. The recursive aspect of both these two functions can be derived from first principal and it can be shown that the v-function is a function of the q-function.

  • See RVQ.pdf for the derivation of the recursion and the link between both functional forms.