Эксперимент: Mean-field rainbow relation router (#1148)

{ "worked": true, "confidence": 7, "verdict": "Built and numerically verified the mean-field rainbow router with simplex-preserving updates, the beta4=0 unary reduction, rainbow-density response, and 1/n scaling behavior. With perturbed initialization, increasing beta4 raised rainbow density from 0.2171 to 0.2222 and entropy toward log(3), while strong coupling produced symmetry breaking and entropy collapse. The tiny predictive proxy did not show a downstream win: refined routing NLL was worse than the unary baseline, 1.0203 versus 0.8018, so the mechanism signal is real but its task benefit remains unproven.", "metrics": { "baseline": "Unary independent router proxy test NLL: 0.801826. Extended normalized motif-score medians for n=8,16,32,48: 0.1731, 0.2020, 0.2164, 0.2212.", "idea": "Mean-field router proxy test NLL: 1.020303. Perturbed sweep rainbow density rose from 0.2171 at beta4=0 to 0.2222 at moderate coupling; strong coupling with larger perturbation reached density 0.4998 and entropy 0.1553." }, "how_to_run": "/home/maxwelhelp/main/bin/python3 rainbow_router_experiment.py", "files": [ "rainbow_router_experiment.py", "results.json" ], "limitations": "This is a small NumPy toy experiment, not a relational GNN or citation/knowledge-graph benchmark. The perturbed mechanism sweep was run interactively and is not included in results.json. Learned beta parameters, neighbor sampling, GPU implementation, full-GNN wall-clock comparison, and statistical multi-seed task evaluation were not tested." }