Layer 3 · gemma-2-2b / 3-res-matryoshka-dc · blocks.3.hook_resid_post · 48,571 tokens over 400 docs · edge: reverse coverage ≥ 0.5, both endpoints fire ≥ 20
Block pair 0->1 - 1971 candidate edges
Out-degree: 60 parents, 381 children, 377 multi-parented (PolyFrac 99.0%); top-1 parent holds 19.3% of edges, Gini 0.917, max out-degree 381.
Superparents (out-degree flag): 5 (5 also pass the old fire-rate AND-gate) — e.g. feature 70 proper nouns that have mixed upper and lowercase letters or…: 381 children, fires on 99.3% of tokens
Independence null: mean edge PMI 0.34; 1361 edges (69.1%) at chance level (PMI < 0.5). 17 edges dropped by the joint-support guard (n_joint < 30).
Frequency control: mean survival 1.041 over 1971 testable edges; 18 (0.9%) are frequency-driven (survival < 0.5).
Sibling redundancy (global Jaccard — confounded proxy, not the splitting verdict; the parent-conditioned version is in the stage-03 second pass): mean 0.059 over 46 parents; 0 over the 0.5 global threshold.
Joint-child (exact union, parents with edges): R_supp mean 0.999, R_mass mean 1.000; 0 parents with one child holding >=90% of their energy (rename candidates).
Joint-child coverage (min(1, ΣF) upper bound — saturates when children co-fire, kept only for contrast with the exact union): 0.482.
parent -> child
R
F
PMI
recon P/C gain
recon?
surv
sib
parent label
child label
70 -> 476
1.00
0.01
0.01
1.32/0.17
Y
1.00
0.01
proper nouns that have mixed upper and …
the word “most” followed by “of”
70 -> 352
1.00
0.00
0.01
1.95/0.01
Y
1.00
0.01
proper nouns that have mixed upper and …
square brackets surrounding numbers and…
70 -> 316
1.00
0.01
0.01
1.18/0.07
Y
1.00
0.01
proper nouns that have mixed upper and …
reflexive pronouns.
70 -> 169
1.00
0.01
0.01
1.62/0.10
Y
1.00
0.01
proper nouns that have mixed upper and …
the phrase “into the”
70 -> 164
1.00
0.00
0.01
0.92/0.16
Y
1.00
0.01
proper nouns that have mixed upper and …
LaTeX mathmatical notation
70 -> 392
1.00
0.01
0.01
0.88/0.21
Y
1.00
0.01
proper nouns that have mixed upper and …
the word “so” in various contexts
70 -> 148
1.00
0.01
0.01
0.88/0.00
n
1.00
0.01
proper nouns that have mixed upper and …
trademarked product names
70 -> 310
1.00
0.01
0.01
1.27/0.04
Y
1.00
0.01
proper nouns that have mixed upper and …
the keyword “public” in code
Block pair 1->2 - 1387 candidate edges
Out-degree: 122 parents, 856 children, 300 multi-parented (PolyFrac 35.0%); top-1 parent holds 57.5% of edges, Gini 0.949, max out-degree 798.
Superparents (out-degree flag): 1 (1 also pass the old fire-rate AND-gate) — e.g. feature 448 a grab bag of proper nouns including names, places, and cod…: 798 children, fires on 48.0% of tokens
Independence null: mean edge PMI 0.92; 793 edges (57.2%) at chance level (PMI < 0.5). 213 edges dropped by the joint-support guard (n_joint < 30).
Frequency control: mean survival 1.011 over 1313 testable edges; 110 (8.4%) are frequency-driven (survival < 0.5).
Sibling redundancy (global Jaccard — confounded proxy, not the splitting verdict; the parent-conditioned version is in the stage-03 second pass): mean 0.237 over 72 parents; 10 over the 0.5 global threshold.
Joint-child (exact union, parents with edges): R_supp mean 1.000, R_mass mean 1.000; 56 parents with one child holding >=90% of their energy (rename candidates).
Joint-child coverage (min(1, ΣF) upper bound — saturates when children co-fire, kept only for contrast with the exact union): 0.197.
parent -> child
R
F
PMI
recon P/C gain
recon?
surv
sib
parent label
child label
208 -> 1032
0.95
0.01
2.34
0.00/-0.00
n
-
0.47
scientific and technical texts, especia…
the aligned environment tag in LaTeX.
370 -> 1032
0.95
0.04
3.30
0.01/-0.00
n
-
0.10
code, math equations, and youtube links
the aligned environment tag in LaTeX.
154 -> 1032
0.95
0.02
2.55
-0.00/-0.00
n
-
0.28
words from scientific documents related…
the aligned environment tag in LaTeX.
145 -> 1032
0.95
0.00
1.25
-0.01/-0.00
n
-
0.05
words, terms, and related symbols in so…
the aligned environment tag in LaTeX.
448 -> 1032
0.95
0.00
0.69
0.06/-0.00
n
-
0.02
a grab bag of proper nouns including na…
the aligned environment tag in LaTeX.
199 -> 1032
0.95
0.01
1.53
0.01/-0.00
n
-
0.07
technical or scientific terms, includin…
the aligned environment tag in LaTeX.
474 -> 1032
0.95
0.13
4.55
-0.00/-0.00
n
-
0.56
square brackets, often used in mathemat…
the aligned environment tag in LaTeX.
249 -> 1032
0.95
0.11
4.41
-0.00/-0.00
n
-
0.56
law references, including numbers, foot…
the aligned environment tag in LaTeX.
Block pair 2->3 - 4379 candidate edges
Out-degree: 289 parents, 2810 children, 436 multi-parented (PolyFrac 15.5%); top-1 parent holds 64.1% of edges, Gini 0.972, max out-degree 2806.
Superparents (out-degree flag): 1 (1 also pass the old fire-rate AND-gate) — e.g. feature 1457 words used in official documents and scientific publications: 2806 children, fires on 87.9% of tokens
Independence null: mean edge PMI 1.25; 2812 edges (64.2%) at chance level (PMI < 0.5). 2089 edges dropped by the joint-support guard (n_joint < 30).
Frequency control: mean survival 0.803 over 3918 testable edges; 833 (21.3%) are frequency-driven (survival < 0.5).
Sibling redundancy (global Jaccard — confounded proxy, not the splitting verdict; the parent-conditioned version is in the stage-03 second pass): mean 0.213 over 163 parents; 25 over the 0.5 global threshold.
Joint-child (exact union, parents with edges): R_supp mean 1.000, R_mass mean 1.000; 5 parents with one child holding >=90% of their energy (rename candidates).
Joint-child coverage (min(1, ΣF) upper bound — saturates when children co-fire, kept only for contrast with the exact union): 0.351.