{ "cohorts": { "adversarial_n": 8, "held_out_n": 12, "train_n": 13 }, "cross_cohort_cosine_null_distribution": { "mean": 0.377394, "n_trials": 200, "p95": 0.599818 }, "cross_cohort_cosine_percentile_in_null": 0.87, "cross_cohort_top2_cosine_similarity": 0.524901, "discrimination_auc_adversarial_vs_heldout": 0.489583, "discrimination_auc_ci95": [ 0.208333, 0.770833 ], "held_out_eigenvalues": [ 79.571248, 20.218919, 7.368282, 3.067749, 1.251647, 1.014757, 0.487365, 0.269996, 0.000952, 5.4e-05 ], "held_out_stability_null_percentile_floor": 0.95, "held_out_variance_explained_top_2": 0.881142, "method": { "generator_proxy": "bivector (grade-2) coefficient block, 10 planes", "note": "approximates the Lie generator to first order; exact for single-plane simple rotors/boosts, approximate for compound multi-generator turns; no scipy / matrix-log dependency" }, "null_calibration_sample_size": 12, "plane_energy_fractions": { "held_out": { "e12": 0.197125, "e13": 0.130823, "e14": 0.068146, "e15": 0.112533, "e23": 0.10294, "e24": 0.123708, "e25": 0.07482, "e34": 0.004372, "e35": 0.143569, "e45": 0.041963 }, "train": { "e12": 0.16094, "e13": 0.082142, "e14": 0.12553, "e15": 0.050535, "e23": 0.088179, "e24": 0.168982, "e25": 0.025171, "e34": 0.03812, "e35": 0.12034, "e45": 0.140062 } }, "precision_transport": { "max_bivector_delta": 6.86e-07, "significant": false }, "recovery_controls": { "method_recovers_true_structure": true, "null_distribution": { "mean": 0.382094, "n_trials": 200, "p50": 0.369315, "p95": 0.60089 }, "positive_control_cross_cohort_cosine": 0.999463, "positive_control_percentile_in_null": 1.0, "sample_size": 12 }, "residual_from_train_top2_subspace": { "adversarial": { "mean": 0.817659 }, "held_out": { "mean": 0.74434 }, "train": { "mean": 0.656085 } }, "schema_version": "adr_0246_grounding_feasibility_v1", "train_eigenvalues": [ 17.063268, 8.003419, 0.574088, 0.435995, 0.187462, 0.031598, 0.014257, 0.004931, 0.003561, 0.00118 ], "train_variance_explained_top_2": 0.95239, "verdict": { "held_out_stable_structure_found": false, "honest_finding": "NULL (n_train=13, n_held_out=12): the top-2 generator-proxy subspace found on TRAIN does NOT reliably reproduce on the independently-collected HELD-OUT cohort \u2014 cosine similarity 0.52 sits at only the 87th percentile of what two INDEPENDENT pure-noise cohorts of the same size produce by chance (need >= 95th) and/or does not clear the discrimination bar (AUC 0.49, 95% CI [0.21, 0.77]). This is consistent with \u2014 and sharpens \u2014 the D4/slice-0/\u00a76.3 finding at the GENERATOR level (not just the induced-action level): benign cognition does not have a small, stable, cohort-independent generator subspace detectable at this sample size. Threshold tuning on the current pack cannot produce a discriminating gate; this feasibility study does not find grounds to draft a revised ADR-0246 implementation contract. A much larger cohort (this study used n<=13 per real cohort) would be needed to rule out a real but subtle effect, rather than to overturn this null.", "recovery_method_validated": true, "safety_relevant": false } }