metrics

In-block (same-level) directed edges

Layer 2　·　PCFG toy 4L d_model=448 / pcfg　·　matryoshka_hook_resid_post_L2　·　1,792 latents in 8 blocks　·　656,000 tokens over 2000 docs　·　edge: reverse coverage ≥ 0.5, both endpoints fire ≥ 20

Parent→child within a block (asymmetric containment); co-extensive pairs are reported as duplicates (renames/splits), never edges.

Block B0 (224 features)

• 815 directed edges, 21 duplicate pairs, 614 survive PMI>0; PolyFrac 68%, Gini 0.895.
• S_res: 19/614 edges are genuine refinements (0 children untestable).
• In-block superparents: 2 (e.g. F105 feature 105: 193 children, fires 98%).

parent → child	R	PMI	parent label	child label
105 → 90	1.00	0.02	feature 105	feature 90
105 → 4	1.00	0.02	feature 105	feature 4
172 → 45	1.00	1.12	feature 172	feature 45
105 → 131	1.00	0.02	feature 105	feature 131
185 → 8	1.00	2.40	feature 185	feature 8
105 → 186	1.00	0.02	feature 105	feature 186
202 → 88	1.00	0.52	feature 202	feature 88
80 → 88	1.00	1.51	feature 80	feature 88

Duplicate pairs (rename/split candidates): 4≈51 (feature 4); 4≈90 (feature 4); 8≈88 (feature 8); 8≈134 (feature 8); 8≈139 (feature 8); 14≈25 (feature 14)

Block B1 (224 features)

• 12 directed edges, 0 duplicate pairs, 12 survive PMI>0; PolyFrac 100%, Gini 0.968.
• S_res: 0/12 edges are genuine refinements (0 children untestable).

parent → child	R	PMI	parent label	child label
317 → 362	0.90	2.52	feature 317	feature 362
357 → 362	0.77	2.90	feature 357	feature 362
438 → 373	0.74	1.94	feature 438	feature 373
438 → 411	0.73	1.93	feature 438	feature 411
438 → 374	0.71	1.90	feature 438	feature 374
436 → 362	0.65	1.60	feature 436	feature 362
345 → 362	0.62	1.89	feature 345	feature 362
341 → 373	0.57	2.09	feature 341	feature 373

Block B2 (224 features)

• 7 directed edges, 0 duplicate pairs, 7 survive PMI>0; PolyFrac 100%, Gini 0.969.
• S_res: 0/7 edges are genuine refinements (0 children untestable).

parent → child	R	PMI	parent label	child label
463 → 561	1.00	3.20	feature 463	feature 561
491 → 561	1.00	3.49	feature 491	feature 561
528 → 561	1.00	3.28	feature 528	feature 561
574 → 561	1.00	4.08	feature 574	feature 561
590 → 561	1.00	3.29	feature 590	feature 561
619 → 561	1.00	3.32	feature 619	feature 561
668 → 561	1.00	3.35	feature 668	feature 561

Block B3 (224 features)

• 0 directed edges, 0 duplicate pairs, 0 survive PMI>0; PolyFrac 0%, Gini 0.000.

Block B4 (224 features)

• 1 directed edges, 0 duplicate pairs, 1 survive PMI>0; PolyFrac 0%, Gini 0.996.
• S_res: 1/1 edges are genuine refinements (0 children untestable).

parent → child	R	PMI	parent label	child label
1101 → 945	0.64	3.62	feature 1101	feature 945

Block B5 (224 features)

• 5 directed edges, 0 duplicate pairs, 5 survive PMI>0; PolyFrac 25%, Gini 0.985.
• S_res: 2/5 edges are genuine refinements (0 children untestable).

parent → child	R	PMI	parent label	child label
1159 → 1143	0.90	2.17	feature 1159	feature 1143
1141 → 1330	0.81	3.49	feature 1141	feature 1330
1159 → 1204	0.73	1.96	feature 1159	feature 1204
1185 → 1165	0.71	3.66	feature 1185	feature 1165
1204 → 1143	0.56	2.84	feature 1204	feature 1143

Block B6 (224 features)

• 3 directed edges, 0 duplicate pairs, 3 survive PMI>0; PolyFrac 50%, Gini 0.993.
• S_res: 0/3 edges are genuine refinements (0 children untestable).

parent → child	R	PMI	parent label	child label
1402 → 1525	0.73	2.00	feature 1402	feature 1525
1402 → 1345	0.70	1.95	feature 1402	feature 1345
1519 → 1345	0.52	3.65	feature 1519	feature 1345

Block B7 (224 features)

• 0 directed edges, 0 duplicate pairs, 0 survive PMI>0; PolyFrac 0%, Gini 0.000.