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POMDP — how does it differ from MDP?

hard

Answer

  • Partially Observable MDP: agent observes oto_{t} which gives incomplete info about state sts_{t}.
  • Add observation function O(o    s)O(o\; \mid \;s).
  • Belief state b(s) = posterior over s given history → sufficient statistic for optimal policy.
  • Solving POMDPs is PSPACE-hard exactly; approximate via RNN/LSTM encoding of history, or particle filter beliefs, or transformer over recent observations.
  • Realistic robotics / partial-info games.
Check yourself — multiple choice
  • Same as MDP
  • Observation o gives partial info about hidden state s; belief b(s) = posterior sufficient statistic; approximate with RNN / particle filter / transformer
  • Random
  • Not real

POMDP: partial observations + belief state; approximate via RNN / transformer.

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