{ "generated": "2026-03-26", "per_objective_correlation": { "contrastive": {"n": 3, "rho": -0.500, "p": 0.667, "mean_tau": 0.514}, "self_supervised": {"n": 15, "rho": -0.685, "p": 0.005, "mean_tau": 0.142}, "supervised": {"n": 36, "rho": -0.152, "p": 0.375, "mean_tau": 0.367}, "note": "SSL shows strongest within-objective bitrate effect (rho=-0.685, p=0.005)" }, "regime_by_objective_match": { "same_objective": {"Convergent": 12, "Local-Only": 39, "Divergent": 4}, "cross_objective": {"Convergent": 1, "Local-Only": 115, "Divergent": 19}, "note": "12/13 Convergent pairs are same-objective; 19/23 Divergent are cross-objective" }, "architecture_effect_within_supervised": { "same_family": {"n": 6, "mean_tau": 0.479}, "cross_family": {"n": 30, "mean_tau": 0.345}, "mann_whitney_p": 0.067, "note": "Architecture has marginal effect (p=0.067) within same objective" }, "vit_mae_anomaly": { "note": "vit_base_patch16_224.mae is Divergent with ALL models (tau<0.005) including same-architecture supervised ViT-B. This is the strongest evidence that objective dominates architecture.", "pairs_divergent": 17, "max_tau_with_any_model": 0.005 }, "variance_decomposition": { "total_tau_variance": 0.0323, "between_objective_variance": 0.0140, "fraction_explained_by_objective": 0.433, "note": "Objective match alone explains 43.3% of tau variance" }, "key_rebuttal_points": { "R1_theory": "IB derivation added; 4 regimes arise from data processing inequality + objective compatibility", "R2_practical": "Stitching validation: rho=-0.90 (p=0.002) between tau and accuracy drop", "R3_detail": "k-NN stable 93.3% across k={3..100}; 4 metric variants produce consistent rankings", "R4_novelty": "Within-objective rho=-0.685 for SSL proves bitrate is NOT tautological. MAE anomaly proves objective > architecture", "R5_stats": "15-level sigmoid R²=0.97, permutation p<0.001, BIC-preferred 9/10" } }