# Correctness-direction rotation across training stages

Label: correct(1) vs wrong(0), per-stage forced-best-guess
generation (Cheng alias scorer). Probe: PCA-128 (fit once per
layer on raw) then LogisticRegression(saga, tol=1e-3), 5-fold
pooled OOF AUROC. Position: post-generation only.

## Class balance (per stage)

| stage | rows | correct | wrong | CD-G0 (>=150/150) |
|---|---|---|---|---|
| raw | 1823 | 500 | 1323 | True |
| cleansft | 1250 | 750 | 500 | True |
| grpov2 | 1488 | 988 | 500 | True |
| partrue | 1217 | 500 | 717 | True |
| s (bracket input) | 1836 | 500 | 1336 | n/a (not gated) |

## CV AUROC by layer by stage

| layer | raw | cleansft | grpov2 | partrue |
|---|---|---|---|---|
| L0 | 0.535 | 0.597 | 0.639 | 0.592 |
| L1 | 0.672 | 0.637 | 0.676 | 0.645 |
| L2 | 0.700 | 0.663 | 0.681 | 0.624 |
| L3 | 0.751 | 0.666 | 0.698 | 0.641 |
| L4 | 0.760 | 0.676 | 0.696 | 0.626 |
| L5 | 0.755 | 0.643 | 0.671 | 0.638 |
| L6 | 0.760 | 0.653 | 0.691 | 0.620 |
| L7 | 0.772 | 0.694 | 0.705 | 0.647 |
| L8 | 0.777 | 0.687 | 0.711 | 0.651 |
| L9 | 0.777 | 0.701 | 0.709 | 0.652 |
| L10 | 0.767 | 0.700 | 0.704 | 0.661 |
| L11 | 0.774 | 0.712 | 0.692 | 0.697 |
| L12 | 0.789 | 0.714 | 0.689 | 0.699 |
| L13 | 0.795 | 0.723 | 0.687 | 0.716 |
| L14 | 0.794 | 0.737 | 0.721 | 0.734 |
| L15 | 0.803 | 0.760 | 0.738 | 0.769 |
| L16 | 0.824 | 0.775 | 0.758 | 0.783 |
| L17 | 0.828 | 0.780 | 0.755 | 0.769 |
| L18 | 0.841 | 0.792 | 0.771 | 0.783 |
| L19 | 0.837 | 0.782 | 0.784 | 0.788 |
| L20 | 0.840 | 0.787 | 0.803 | 0.800 |
| L21 | 0.844 | 0.778 | 0.811 | 0.796 |
| L22 | 0.856 | 0.782 | 0.804 | 0.785 |
| L23 | 0.846 | 0.795 | 0.803 | 0.796 |
| L24 | 0.860 | 0.800 | 0.800 | 0.817 |
| L25 | 0.853 | 0.789 | 0.806 | 0.792 |
| L26 | 0.851 | 0.786 | 0.809 | 0.792 |
| L27 | 0.851 | 0.785 | 0.807 | 0.795 |
| L28 | 0.840 | 0.787 | 0.804 | 0.802 |
| L29 | 0.832 | 0.794 | 0.795 | 0.790 |
| L30 | 0.824 | 0.794 | 0.800 | 0.796 |
| L31 | 0.823 | 0.785 | 0.788 | 0.795 |
| L32 | 0.814 | 0.782 | 0.802 | 0.792 |
| L33 | 0.819 | 0.809 | 0.792 | 0.814 |
| L34 | 0.813 | 0.773 | 0.784 | 0.806 |
| L35 | 0.825 | 0.751 | 0.780 | 0.784 |
| L36 | 0.823 | 0.771 | 0.790 | 0.778 |

## Direction rotation cosines (shared PCA basis, fit on raw)

| layer | raw->cleansft | cleansft->grpov2 | grpov2->partrue | split-half floor (grpov2) |
|---|---|---|---|---|
| L0 | 0.0998 | 0.1518 | -0.0168 | 0.1028 |
| L1 | -0.0689 | 0.2114 | 0.0554 | 0.1673 |
| L2 | 0.012 | 0.3421 | 0.203 | 0.0607 |
| L3 | 0.017 | 0.2936 | 0.1492 | 0.3356 |
| L4 | 0.0677 | 0.1359 | 0.234 | 0.3619 |
| L5 | 0.0934 | 0.2222 | 0.1461 | 0.2329 |
| L6 | 0.201 | 0.1583 | 0.0788 | 0.2216 |
| L7 | 0.1189 | 0.2018 | 0.1221 | 0.3005 |
| L8 | 0.0216 | 0.2361 | 0.1421 | 0.1007 |
| L9 | 0.0289 | 0.2565 | 0.1506 | 0.0915 |
| L10 | -0.0004 | 0.1268 | 0.1245 | 0.1091 |
| L11 | 0.0772 | 0.2864 | 0.0689 | 0.2191 |
| L12 | 0.0189 | 0.246 | 0.1328 | 0.0859 |
| L13 | 0.0316 | 0.2474 | 0.1857 | 0.0537 |
| L14 | 0.1183 | 0.2942 | 0.1878 | 0.0666 |
| L15 | 0.1039 | 0.3102 | 0.3025 | 0.0782 |
| L16 | 0.1705 | 0.3467 | 0.3118 | 0.0963 |
| L17 | 0.155 | 0.4038 | 0.3195 | 0.0851 |
| L18 | 0.1834 | 0.3786 | 0.3272 | 0.185 |
| L19 | 0.191 | 0.442 | 0.2045 | 0.26 |
| L20 | 0.2118 | 0.4664 | 0.3722 | 0.1728 |
| L21 | 0.2497 | 0.4515 | 0.1808 | 0.158 |
| L22 | 0.1558 | 0.4551 | 0.3325 | 0.1202 |
| L23 | 0.1825 | 0.4488 | 0.3987 | 0.1702 |
| L24 | 0.1629 | 0.4273 | 0.4916 | 0.1606 |
| L25 | 0.1682 | 0.5487 | 0.3873 | 0.1967 |
| L26 | 0.1244 | 0.4738 | 0.3806 | 0.2277 |
| L27 | 0.1705 | 0.4842 | 0.373 | 0.2085 |
| L28 | 0.1509 | 0.4396 | 0.413 | 0.3378 |
| L29 | 0.1913 | 0.357 | 0.4615 | 0.0889 |
| L30 | 0.2395 | 0.4386 | 0.353 | 0.2243 |
| L31 | 0.2387 | 0.3508 | 0.2986 | 0.2147 |
| L32 | 0.1507 | 0.3463 | 0.3215 | 0.1325 |
| L33 | 0.107 | 0.4467 | 0.4179 | 0.2112 |
| L34 | 0.177 | 0.4354 | 0.378 | 0.2647 |
| L35 | 0.2471 | 0.2606 | 0.2843 | 0.2294 |
| L36 | 0.1164 | 0.3628 | 0.2965 | 0.3952 |

## Instruct(S) -> grpov2(T) bracket (own PCA basis fit on S; reported, not gated)

| layer | bracket cosine |
|---|---|
| L0 | -0.0489 |
| L1 | 0.0516 |
| L2 | -0.0299 |
| L3 | -0.0921 |
| L4 | 0.034 |
| L5 | -0.0448 |
| L6 | 0.1394 |
| L7 | 0.109 |
| L8 | 0.0702 |
| L9 | 0.0931 |
| L10 | 0.2116 |
| L11 | 0.098 |
| L12 | 0.1257 |
| L13 | 0.1594 |
| L14 | 0.1461 |
| L15 | 0.1569 |
| L16 | 0.1794 |
| L17 | 0.1956 |
| L18 | 0.2639 |
| L19 | 0.2535 |
| L20 | 0.2123 |
| L21 | 0.1691 |
| L22 | 0.1429 |
| L23 | 0.1371 |
| L24 | 0.1021 |
| L25 | 0.1722 |
| L26 | 0.1845 |
| L27 | 0.2132 |
| L28 | 0.1568 |
| L29 | 0.1428 |
| L30 | 0.0737 |
| L31 | 0.0742 |
| L32 | 0.0418 |
| L33 | 0.138 |
| L34 | 0.1098 |
| L35 | 0.1398 |
| L36 | 0.194 |

## Summary (L19-L24 means; reported straight, no verdict)

- raw_to_cleansft_cosine_mean_L19_L24: 0.19228333333333333
- cleansft_to_grpov2_cosine_mean_L19_L24: 0.44851666666666673
- grpov2_to_partrue_cosine_mean_L19_L24: 0.33005
- split_half_noise_floor_mean_L19_L24: 0.17363333333333333
- instruct_to_grpov2_bracket_mean_L19_L24: 0.1695

### Best-layer OOF AUROC by stage (CD-G2 readout sanity)

| stage | best layer | AUROC | CD-G2 flag (<0.60) |
|---|---|---|---|
| raw | L24 | 0.8604 | False |
| cleansft | L33 | 0.8088 | False |
| grpov2 | L21 | 0.8112 | False |
| partrue | L24 | 0.8174 | False |