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Paper · arXiv

Agentic Skill Optimization over Lie Algebroids

Agentic systems increasingly improve themselves by editing skills: prompts, rubrics, plans, tool contracts, examples, validators, and traces. Skill edits are not independent coordinates in a vector space: they are local repairs to structured artifacts whose effects are observed only after rollout, validation, and critique. Distinct edits can have the same immediate visible effect while differing in routing context, template state, guardrail scope, or future composability. The order of edits can matter as well: repairing a schema before a normalization rule need not be equivalent to applying the same edits in the reverse order. This paper introduces a new framework for skill optimization c...

AuthorsSridhar Mahadevan
Primary categorycs.LG
Published13 July 2026
Last updated at source13 July 2026
cs.LGcs.AImath.CT
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