
Belief States in POMDPs: Acting on Probabilities About Hidden State
A policy that acts on the latest observation alone is guessing. A belief state is how you stop guessing.
Read tutorialDecision-making when observations do not reveal the full state, including beliefs, memory, and POMDP reasoning.
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A policy that acts on the latest observation alone is guessing. A belief state is how you stop guessing.
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More communication is not automatically better coordination. In cooperative multi-agent reinforcement learning, a naive message-passing channel can inject…
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The agent-environment loop feels simple until you try to make an algorithm learn. Then the loop stops being enough. The agent needs to know what it can…
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Single-agent RL treats the environment as a fixed target. Add a second learning agent, and the target starts moving.
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Imagine you are playing a card game against an opponent. You can see your own hand perfectly, but your opponent's cards are hidden. You watch them draw,…
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You write down the MDP Bellman equation, swap $s$ for $b$, and the result looks plausible. It also predicts nothing you can act on. The symbol changed; the…
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The agent never sees the state. It sees a flicker of evidence, acts, and sees another flicker. Yet the entire decision problem collapses into a fixed-size…
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You can recite the belief update formula and still have no idea whether you are applying it correctly. The way out is not more reading. It is a two-state…
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A memoryless policy keeps repeating the same mistake because each observation hides the information it needs. The reflex is to "just add an RNN." The real…
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A memoryless agent can learn perfectly and still lose. It extracts every drop of signal from the observation it receives, then plateaus at a score a coin…
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The agent never acts on the world. It acts on a report about the world—and that report is often incomplete, noisy, or misleading. Understanding the gap…
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