What to Preserve in Recursive Computation: A Local Predictive Sufficiency Principle

Excerpt

arXiv:2610.04303v1 Announce Type: cross Abstract: Recursive computation repeatedly compresses or reuses intermediate states, creating a simple tension: information that must remain useful across longer recursive paths is also exposed to more opportunities for loss before reaching the final prediction. Existing reconstruction or local-prediction objectives provide tractable supervision, but do not ensure that the retained information remains sufficient for subsequent recursive computation. We ide