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　·　1,022,000 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)

• 206 directed edges, 7 duplicate pairs, 206 survive PMI>0; PolyFrac 35%, Gini 0.943.
• S_res: 7/206 edges are genuine refinements (0 children untestable).

parent → child	R	PMI	parent label	child label
0 → 106	0.99	0.85	feature 0	feature 106
86 → 120	0.98	2.39	feature 86	feature 120
21 → 120	0.98	1.84	feature 21	feature 120
5 → 106	0.98	1.55	feature 5	feature 106
0 → 209	0.98	0.84	feature 0	feature 209
81 → 120	0.98	1.52	feature 81	feature 120
161 → 120	0.98	1.99	feature 161	feature 120
0 → 67	0.98	0.84	feature 0	feature 67

Duplicate pairs (rename/split candidates): 21≈68 (feature 21); 21≈161 (feature 21); 35≈120 (feature 35); 35≈127 (feature 35); 35≈191 (feature 35); 120≈191 (feature 120)

Block B1 (224 features)

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

Block B2 (224 features)

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

Block B3 (224 features)

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

Block B4 (224 features)

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

Block B5 (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
1156 → 1275	0.79	3.76	feature 1156	feature 1275

Block B6 (224 features)

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

Block B7 (224 features)

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