| # Section 4 navigation view |
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| Status: **computational object and v4.33.0 statement labels frozen**. |
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| ## Declaration graph |
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| The whole-library vertex set contains non-auto/private raw declarations whose |
| kind is theorem, definition or abbrev. A directed edge `source -> target` |
| means that `source` consumes `target`: the target occurs as a constant in the |
| source type, stored value, or both. Self references are removed and repeated |
| occurrences are collapsed, while the type/value provenance bits are retained. |
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| The complex-analysis test set is the induced vertex set whose **defining |
| module** equals `Mathlib.Analysis.Complex` or begins with that dotted prefix. |
| This is not a filter on declaration names. |
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| ## Features |
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| The six global features are log in-degree, log out-degree, log PageRank, log |
| sampled directed betweenness, DAG layer and kernel definition height. PageRank |
| uses damping 0.85. Betweenness uses 500 seeded source vertices with seed 42. |
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| The seventeen internal features are the induced graph's in/out edge and |
| neighbor counts, total and reciprocal neighbors, two-hop in/out neighborhoods, |
| clustering, component size, type-reference in/out ratios, forward and reverse |
| PageRank, HITS hub and authority scores, and an isolation indicator. Count and |
| centrality transforms are fixed in `navigation/features.py`. |
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| The old pilot used two `lean-training-data` explicit-premise ratios instead of |
| the new native type-reference ratios. Consequently, the v4.33 result is a |
| new pre-registered replication, not a byte-for-byte rerun of the old 23-column |
| matrix. |
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| Within each split, missing values are imputed by training medians and every |
| column is standardized by its training mean and population standard deviation. |
| No name, module, declaration kind or text feature enters a model. |
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| ## Labels and validation |
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| The external target must be a statement-level reviewed v4.33 file and must |
| pass exact-name validation against the module slice. The two recovered v4.30 |
| files remain historical evidence only: the old pilot used 36 positive nodes, |
| whereas the recovered theorem-to-declaration mapping names 34 unique nodes, |
| with a symmetric difference of 28 names. Exact-name survival in v4.33 is a |
| necessary check, not a replacement for reviewing the corresponding statements. |
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| Run 25 stratified 80/20 splits with seeds `20260804 + 1000 + repeat`. Fit |
| class-balanced logistic regression with an unpenalized intercept and L2 |
| coefficient 0.1. Average precision is primary; the random reference for each |
| split is its validation prevalence. All split indices, transformations and |
| first-split coefficients are written into the result. |
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| The earlier 1,549-declaration/36-positive pilot supplied the preregistered |
| candidate names, not the analyzed graph. The current statements for all 36 |
| names were reviewed against their labels and approved at the pinned v4.33 |
| commit; the evidence and decision rule are recorded in |
| `labels/v4.33-statement-review.md`. |
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