Finite Reliability Representations: Noise-Calibrated Belief-Space Covers for Reliable Decision-Making
Physical sensing and actuation noise floors should inform how much belief resolution a decision-making system can reliably use. We introduce Finite Reliability Representations (FRR), a framework for covering belief spaces by reliability cells: regions within which the optimal action-value function Q*(b,u) varies by at most a tolerance epsilon, uniformly over actions. The framework is formulated on beliefs rather than states and uses a cover rather than an equivalence quotient, because approximate decision-closeness is not transitive in general. A central technical point is that noisy Bayesian updates should not be treated as globally contractive on arbitrary beliefs. We therefore separate...
| Authors | Hyung-Jin Yoon, Hunmin Kim |
|---|---|
| Primary category | eess.SY |
| Published | 4 July 2026 |
| Last updated at source | 4 July 2026 |
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