📚 node [[bellman_equation]]
📓 garden/KGBicheno/Artificial Intelligence/Introduction to AI/Week 3 - Introduction/Definitions/Bellman_Equation.md by @KGBicheno

Bellman equation

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In reinforcement learning, the following identity satisfied by the optimal Q-function:

The Q-function in reinforcement learning

Reinforcement learning algorithms apply this identity to create Q-learning via the following update rule:

The Bellman equation

Beyond reinforcement learning, the Bellman equation has applications to dynamic programming. See the Wikipedia entry for Bellman Equation.
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