graph_strength_growth — GRAPH population op

• Datenarten: matrix × matrix → table

• Aufruf: import fullseye as fs; fs.ledger.graph_strength_growth(a, b, hub_fraction=0.1) (die Implementierung direkt: import graphinv; graphinv.graph_strength_growth(a, b, hub_fraction=0.1); aus dem Register: opsgraph.get("graph_strength_growth"))

Verwendung

> Für diesen Operator gibt es noch keine Übersetzung. Es folgt der Originaltext unverändert.

Where the new synapses went — one wiring matrix `a (earlier) against b` (later).

Both are weight matrices (synapse counts) on the same node order; self-loops are

dropped. With `S = sum of each matrix and dS = S_b - S_a`:

• per node: `in_a, out_a, in_b, out_b (strengths), degree_a` (number of

partners, in + out, presence `> 0), gain_in = in_b - in_a, gain_out`.

Identity: `gain_in.sum() == gain_out.sum() == dS` (every synapse has one pre and one post).

• `strengthened / weakened (weight change on edges present in both), added`

(weight of edges only in `b), lost (weight of edges only in a`);

`strengthened - weakened + added - lost == dS`.

• `rho_in / rho_out — Spearman rank correlation of degree_a with gain_in` /

`gain_out over nodes with degree_a > 0` (0.0 with fewer than 3 such nodes or no

variance); `n_ranked`.

• hubs = the top `hub_fraction of ranked nodes by degree_a` (at least 1):

`hub_share_in_a (their share of S_a as post-synaptic partners), hub_share_gain_in`

(their share of `dS` arriving as inputs), and the same for outputs. If new synapses were

spread in proportion to existing strength, the two shares would be equal — the gap is

what "hubs grow disproportionately" means in numbers.

Raises `ValueError`: either matrix not square / non-finite / negative / a string or

masked array; shapes differ; `hub_fraction outside (0, 1]; dS == 0` is allowed

(shares of the gain are then 0).

Referenzen (Beispieldaten, Literatur)

• Katalog der Beispieldaten (Download-URLs / Lizenzen) — 2-D nutzt skimage.data (BSD/Public Domain) plus synthetische Bilder, 3-D nennt Download-URLs echter Datenquellen (Stanford, PDS, …).

• Herkunft und Literatur der Operatoren — die Quellen der Forschung/Verfahren, auf denen diese Operatorfamilie beruht.

• Der kanonische Algorithmus (Autor, Jahr) und seine Anwendungen stehen im Familienleitfaden oben.

Ausführbare Beispiele (verifizierte Samples, die diesen Operator wirklich aufrufen)

• poc_worm_synapses_vs_neurites — py -3.11 examples/poc_worm_synapses_vs_neurites.py

Typkompatible Folge-Operatoren (nehmen table als Eingabe)

graph_edge_consensus · graph_core_persistence · tree_morphometry · tree_sholl · tree_run_length

Gleiche Kategorie (population)

graph_edge_consensus · graph_core_persistence


*Provenance: graphinv.py — GRAPH Operator-Registry. Diese Notiz wird von tools/opdocs.py md erzeugt (nicht von Hand bearbeiten).*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.