Support sufficiency as action-sufficient compression: a single-cycle rate-regret formulation
Robust decision-making requires compression. A system that forms a rich support state cannot usually preserve its full structure at the point of action. It must retain only those distinctions needed to act, verify, abstain, or defer under the current consequence geometry. This paper formalizes support sufficiency as action-sufficient compression. Let $H$ denote a full support state, $\mathcal{A}$ a finite action set, and $Z$ a consequence geometry specifying payoff structure. For fixed $Z$, the coarsest exactly action-sufficient compression is the quotient of support space by policy equivalence. Two support states may be merged exactly when they require the same optimal action. This clari...
| Authors | Mark Walsh |
|---|---|
| Primary category | cs.IT |
| Published | 28 May 2026 |
| Last updated at source | 28 May 2026 |
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