IOM / scripts /measure_invariance.py
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#!/usr/bin/env python3
"""Invariancia interna no trivial (con control negativo).
Mide autonomía *y* distingue el grafo canónico de uno corrompido:
1. Auto-regeneración: etiqueta ≡ regla (fase, pos) aplicada al par.
2. Invariancia bajo índice de tríada.
3. Reconstrucción desde subconjunto (LOO feature lookup sin etiquetas del held-out).
4. **Control negativo:** al corromper una arista del grafo, (1) o (3) debe fallar.
Sin el control negativo, un 1.0 podría ser tautología.
"""
from __future__ import annotations
import copy
import csv
import json
from collections import defaultdict
from pathlib import Path
ROOT = Path(__file__).resolve().parents[1]
def parse_node(node_id: str) -> tuple[str, int]:
parts = node_id.split("_")
return parts[1], int(parts[2][1:])
def rule_label(src: str, tgt: str) -> str:
sp, spos = parse_node(src)
tp, tpos = parse_node(tgt)
if sp == tp:
return "none"
if tpos == 2 - spos:
return "mirrorOf"
if (spos in (0, 2) and tpos == 1) or (spos == 1 and tpos in (0, 2)):
return "creates"
return "none"
def feature_key(src: str, tgt: str) -> tuple:
sp, spos = parse_node(src)
tp, tpos = parse_node(tgt)
return (sp, spos, tp, tpos)
def self_regen_rate(rows: list[dict]) -> float:
mism = sum(1 for r in rows if rule_label(r["source"], r["target"]) != r["relation"])
return 1.0 - mism / max(len(rows), 1)
def triad_invariant(rows: list[dict]) -> bool:
by_feat: dict[tuple, set[str]] = defaultdict(set)
for r in rows:
by_feat[feature_key(r["source"], r["target"])].add(r["relation"])
return all(len(v) == 1 for v in by_feat.values())
def subset_reconstruction(rows: list[dict]) -> bool:
for held in range(1, 14):
train: dict[tuple, str] = {}
test: list[tuple[tuple, str]] = []
for r in rows:
key = feature_key(r["source"], r["target"])
tid = int(r["triad_index"])
if tid == held:
test.append((key, r["relation"]))
else:
train[key] = r["relation"]
if any(train.get(k) != lab for k, lab in test):
return False
return True
def corrupt_one_edge(rows: list[dict]) -> list[dict]:
"""Cambia la etiqueta de la primera arista mirrorOf a none (grafo inválido)."""
out = copy.deepcopy(rows)
for r in out:
if r["relation"] == "mirrorOf":
r["relation"] = "none"
break
return out
def main() -> int:
rows = list(
csv.DictReader(
(ROOT / "datasets" / "relation_candidates.csv").open(
encoding="utf-8", newline=""
)
)
)
regen = self_regen_rate(rows)
inv = triad_invariant(rows)
subset = subset_reconstruction(rows)
corrupted = corrupt_one_edge(rows)
# Tras corrupción: o bien auto-regeneración cae, o el grafo ya no coincide con la regla
corrupted_regen = self_regen_rate(corrupted)
negative_control_detects = corrupted_regen < 1.0
autonomy = regen == 1.0 and inv and subset
non_trivial = autonomy and negative_control_detects
report = {
"framing": (
"Invariancia no trivial: el canónico regenera 1.0; un grafo con una "
"arista corrupta debe fallar el control negativo."
),
"canonical": {
"self_regeneration_rate": round(regen, 6),
"triad_index_invariance": inv,
"subset_reconstruction": subset,
"autonomy_measurable": autonomy,
},
"negative_control": {
"description": "primera arista mirrorOf relabelada a none",
"corrupted_self_regeneration_rate": round(corrupted_regen, 6),
"detects_corruption": negative_control_detects,
"interpretation": (
"si detects_corruption es false, la métrica no distingue "
"grafo correcto de corrompido (tautología)"
),
},
"invariance_non_trivial": non_trivial,
}
out = ROOT / "experiments" / "results" / "invariance_metrics.json"
out.parent.mkdir(parents=True, exist_ok=True)
out.write_text(json.dumps(report, ensure_ascii=False, indent=2, sort_keys=True) + "\n", encoding="utf-8")
print("Invariancia interna (con control negativo)")
print(f" Auto-regeneración canónica: {regen}")
print(f" Invariancia bajo índice de tríada: {inv}")
print(f" Reconstrucción desde subconjunto: {subset}")
print(f" Control negativo detecta corrupción: {negative_control_detects} (rate={corrupted_regen:.6f})")
print(f" Invariancia no trivial: {non_trivial}")
print(f" Informe: {out}")
return 0 if non_trivial else 1
if __name__ == "__main__":
raise SystemExit(main())