Symbol b
the agent’s probability distribution over possible states before an observation.
Read this term in its guide →Published equation contexts
Why this formula appears here
A useful decomposition for what an agent needs to track is the belief it holds over the true state of its task, updated as new observations arrive. In the classical formalism, if b(s) is the agent’s probability distribution over possible states before an observation, a is the action just taken, o is the observation that followed, T is the environment’s transition model and O its observation model, the updated belief is
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Symbol s
everything true about the task — every file changed, every external call made, every fact established —.
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Published contexts (1)
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Equation 4 · AI Agents & Systems
The Hardest Unsolved Problems in AI Agent Architecture
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
A useful decomposition for what an agent needs to track is the belief it holds over the true state of its task, updated as new observations arrive. In the classical formalism, if b(s) is the agent’s probability distribution over possible states before an observation, a is the action just taken, o is the observation that followed, T is the environment’s transition model and O its observation model, the updated belief is
Meanings in this article
- : the agent’s probability distribution over possible states before an observation.
- : everything true about the task — every file changed, every external call made, every fact established —.