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The demonstrated benefit is robust sparse advice volume on a useful task, not a proven per-state placement advantage, because the response-contingent metareasoning problem is formulated as a response-contingent metareasoning problem.
A finite-width conditional bound linking the inverse participation ratio of squared singular values to central pre-softmax logit kurtosis is derived and a pointwise query--key product-tail target is defined and compared with independent factor surgery with a product-targeted factorization that preserves native attentio...
An explicit finite lower certificate for communicating MDPs is derived and an auditable composition rule for a span-constrained optimistic learner is given, and valid expectation conversion and constant comparability are formalized.
The evidence supports exact schema-induced conditioning, not a systems advantage over CARS, and the evaluated method makes no generic finite-trie scalability claim.
CODS is introduced, a critic-guided selector that alternates between fitting an algorithm-matched critic and acquiring high-residual transitions before freezing a reusable subset, a reusable selection procedure, not a formal coreset guarantee.
The realizable share of oracle opportunity is small and certifiable: strong routers beat the best fixed model, and most of the gap remains, while the selection-valid confidence intervals are small and certifiable.
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