๐ค AI Summary
This work addresses the semantic gap between evaluation metrics and training data in large model pretraining, which hinders precise diagnosis and remediation of capability deficiencies. The authors propose โcapability slicesโ as fundamental units aligning evaluation and data, establishing a bidirectional classification framework that links evaluation tasks with non-instructional training data through explicit mapping rules. This enables a closed-loop pipeline from evaluation failures to targeted data interventions. For the first time, the approach supports auditable and systematic reasoning that translates evaluation signals into data corrections, moving beyond intuition-driven tuning paradigms. Experiments demonstrate its efficacy in both directions: repairing specific training loss components restores BBH performance to 66.44, while targeted data sampling boosts AIME2025/2026 Pass@128 from 6.67/0.00 to 26.67.
๐ Abstract
Model capability is the central variable in LLM pre-training, yet is never observed directly: data shapes it prospectively, while evaluation reveals it only retrospectively, compressing samples, prompts, decoding, and scoring rules into one noisy score. Practical optimization runs this backward: a failure is observed first, and the engineer must infer the corpus fix. The two sides speak incompatible vocabularies -- benchmark names and per-sample correctness versus data sources, domains, and quality labels -- so this inference is usually intuition, not method. We close this gap with the \emph{capability slice}: a group of evaluation samples sharing background condition, task type, solving operation, and output constraint -- precise enough to localize a single weakness yet stable enough to survive aggregation, unlike a benchmark name, too coarse, or a single sample, too noisy. Built around this unit, an evaluation taxonomy, a non-instruction data taxonomy, and mapping rules form a closed loop turning a benchmark-level failure into a targeted, testable data intervention. We test this loop on two case studies pulling in opposite directions. First, the loop rules the data out: continued pre-training drives BBH down by $-46.82\%$, but diagnosis traces this to a single masked \texttt{\textless EOS\textgreater} loss rather than weakened reasoning; restoring it recovers BBH to $66.44$, above the original checkpoint, without changing the data. Second, the loop rules the data in: a persistent math-reasoning weakness is decomposed by solving operation into specific failing combinations, and a weakness-targeted sampling procedure built from it lifts AIME2025/AIME2026 Pass@128 from $6.67$/$0.00$ to $26.67$ each. The same unmodified loop reaches opposite, correct verdicts in both cases, showing the evaluation-to-data inference can be routine, auditable, and experimentally validated rather than intuitive.