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This research addresses a critical flaw in LLM-guided search where standard pruning methods introduce irreducible bias, potentially eliminating valid solutions. By formulating tree pruning as a PAC-guaranteed decision problem and introducing Native-Trace calibration, the method certifies safe elimination while significantly reducing computational costs like token usage and physical requests. The approach offers a robust framework for optimizing efficiency in complex agent workflows without sacrificing solution validity.
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PAC-CF: Calibrating Irreversible Frontier Pruning in LLM-Guided Search

arXiv2 min read

arXiv:2604.14345v4 Announce Type: replace Abstract: LLM-guided search is usually adopted to solve complex tasks by ranking and pruning top-$K$ candidates based on evaluator scores. However, irreducible bias still exists even if popular methods, such as repeated sampling, are applied to reduce variance. Consequently, pruning may remove every continuation that can reach a valid solution. In this paper, we propose Probably Approximately Correct Conformal Filtering (PAC-CF), which formulates tree pruning as a PAC-guaranteed decision problem. Theoretical analysis establishes how irreducible bias reduces the score separation for certified elimination. Native-Trace path calibration derives a conformal margin from the score deficit of verifier-valid continuations on held-out Native traces. During deployment, PAC-CF uses this calibrated margin in a direct score-gap filtering rule. Across diverse domains and state-of-the-art controllers, PAC-CF improves utility at various budgets while reducing all five measured workload metrics. Especially on pruning-aware ToolTree under a 100-request budget, replacing native top-$K$ improves equal-domain utility by 4.38 points while reducing physical requests by $18.95\%$ with a $23.76\%$ token reduction.

Abstract:LLM-guided search is usually adopted to solve complex tasks by ranking and pruning top-$K$ candidates based on evaluator scores. However, irreducible bias still exists even if popular methods, such as repeated sampling, are applied to reduce variance. Consequently, pruning may remove every continuation that can reach a valid solution. In this paper, we propose Probably Approximately Correct Conformal Filtering (PAC-CF), which formulates tree pruning as a PAC-guaranteed decision problem. Theoretical analysis establishes how irreducible bias reduces the score separation for certified elimination. Native-Trace path calibration derives a conformal margin from the score deficit of verifier-valid continuations on held-out Native traces. During deployment, PAC-CF uses this calibrated margin in a direct score-gap filtering rule. Across diverse domains and state-of-the-art controllers, PAC-CF improves utility at various budgets while reducing all five measured workload metrics. Especially on pruning-aware ToolTree under a 100-request budget, replacing native top-$K$ improves equal-domain utility by 4.38 points while reducing physical requests by $18.95\%$ with a $23.76\%$ token reduction.

30 pages, 3 figures. Major revision. Earlier versions circulated under the title PAC-MCTS and reported controlled proof-of-concept experiments. This version introduces Native-Trace conformal calibration, frozen-margin deployment, controller-agnostic integration, and benchmark-based multi-domain evaluation

Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Machine Learning (stat.ML)

arXiv:2604.14345 [cs.LG]

(or arXiv:2604.14345v4 [cs.LG] for this version)

Full text under the publisher's open licence · 209 words

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