Model Based Reinforcement Learning (MBRL)

Model-based reinforcement learning only differs from its model-free counterpart in learning a dynamics model, but that has substantial downstream effects on how the decisions are made.

The dynamics model usually models the environment transition dynamics,$s_{t+1} = f_\theta (s_t, a_t)$, but things like inverse dynamics models (mapping from states to actions) or reward models (predicting rewards) can be used in this framework.

Simple definition

• There is an agent that repeatedly tries to solve a problem, accumulating state and action data.
• With that data, the agent creates a structured learning tool, a dynamics model, to reason about the world.
• With the dynamics model, the agent decides how to act by predicting the future.
• With those actions, the agent collects more data, improves said model, and hopefully improves future actions.

Academic definition

Model-based reinforcement learning (MBRL) follows the framework of an agent interacting in an environment, learning a model of said environment, and then **leveraging the model for control (making decisions).

Specifically, the agent acts in a Markov Decision Process (MDP) governed by a transition function$s_{t+1} = f (s_t , a_t)$ and returns a reward at each step$r(s_t, a_t)$. With a collected dataset$D :={ s_i, a_i, s_{i+1}, r_i}$, the agent learns a model,$s_{t+1} = f_\theta (s_t , a_t)$ to minimize the negative log-likelihood of the transitions.

We employ sample-based model-predictive control (MPC) using the learned dynamics model, which optimizes the expected reward over a finite, recursively predicted horizon,$\tau$, from a set of actions sampled from a uniform distribution$U(a)$, (see paper or paper or paper).

Further reading

For more information on MBRL, we recommend you check out the following resources:

• A blog post on debugging MBRL.
• A recent review paper on MBRL,

Author

This section was written by Nathan Lambert

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