"""Compute Spearman correlations + bootstrap 95% CIs on the combined 24-config sweep (18 original + 6 gap-fill).""" import numpy as np from scipy import stats # All 24 configurations: (name, type, topsim, posdis, causal, cross16, cross192) rows = [ # Original 12 single-property configs ("disc_L2_V5", "discrete", 0.88, 0.20, 0.02, 41.7, 43.9), ("disc_L2_V10", "discrete", 0.84, 0.25, 0.05, 46.1, 41.7), ("disc_L3_V5", "discrete", 0.84, 0.13, 0.02, 43.3, 42.8), ("disc_L3_V10", "discrete", 0.84, 0.12, 0.01, 43.3, 45.6), ("disc_L4_V5", "discrete", 0.90, 0.10, 0.01, 41.1, 42.2), ("disc_L4_V10", "discrete", 0.82, 0.08, 0.02, 45.0, 45.0), ("disc_L5_V5", "discrete", 0.89, 0.07, 0.02, 40.0, 43.9), ("cont_dim2", "continuous", 0.92, 0.15, 0.20, 48.9, 54.4), ("cont_dim3", "continuous", 0.91, 0.15, 0.02, 40.6, 41.1), ("cont_dim5", "continuous", 0.89, 0.06, 0.03, 47.2, 43.9), ("cont_dim10", "continuous", 0.88, 0.04, 0.01, 47.8, 48.3), ("cont_dim20", "continuous", 0.90, 0.02, 0.00, 48.9, 55.0), # Original 3 multi-property 3-class ("disc_multi_L3_V5", "disc_multi", 0.59, 0.51, 0.06, 40.0, 46.1), ("disc_multi_L4_V10", "disc_multi", 0.68, 0.48, 0.01, 45.6, 50.6), ("cont_multi_dim3", "cont_multi", 0.72, 0.40, 0.10, 50.6, 55.0), # Original 3 multi-property 5-class ("disc_multi5_L2_V5", "disc_multi", 0.78, 0.82, 0.07, 47.2, 52.2), ("disc_multi5_L3_V5", "disc_multi", 0.69, 0.83, 0.29, 45.0, 46.1), ("disc_multi5_L4_V5", "disc_multi", 0.68, 0.70, 0.06, 43.9, 47.8), # NEW gap-fill (6 configs) ("disc_multi5_L2_V10_e250", "disc_multi", 0.66, 0.70, 0.12, 48.9, 55.6), ("disc_multi5_L3_V10_e250", "disc_multi", 0.60, 0.81, 0.03, 41.7, 43.3), ("disc_multi5_L4_V10_e250", "disc_multi", 0.65, 0.70, 0.07, 41.7, 41.7), ("disc_multi5_L2_V5_e200", "disc_multi", 0.75, 0.83, 0.13, 47.2, 51.1), ("disc_multi5_L4_V5_e250", "disc_multi", 0.79, 0.91, 0.03, 42.2, 46.7), ("disc_multi_L5_V5_3cls", "disc_multi", 0.72, 0.73, 0.02, 39.4, 42.2), ] def boot_ci(x, y, n_resamples=5000, seed=42): rng = np.random.default_rng(seed) idx = np.arange(len(x)) rhos = [] for _ in range(n_resamples): s = rng.choice(idx, size=len(idx), replace=True) rho, _ = stats.spearmanr(x[s], y[s]) if not np.isnan(rho): rhos.append(rho) return float(np.percentile(rhos, 2.5)), float(np.percentile(rhos, 97.5)) topsim = np.array([r[2] for r in rows]) posdis = np.array([r[3] for r in rows]) causal = np.array([r[4] for r in rows]) cross16 = np.array([r[5] for r in rows]) cross192 = np.array([r[6] for r in rows]) n = len(rows) print(f"=== n={n} configs (18 original + 6 gap-fill) ===\n") print(f"PosDis range: {posdis.min():.2f} -- {posdis.max():.2f}") print(f"Cross-scen N=192 range: {cross192.min():.1f}% -- {cross192.max():.1f}%") print(f"Cross-scen N=16 range: {cross16.min():.1f}% -- {cross16.max():.1f}%") print() for x, xname in [(topsim, "TopSim"), (posdis, "PosDis"), (causal, "CausalSpec")]: for y, yname in [(cross16, "Cross16"), (cross192, "Cross192")]: rho, p = stats.spearmanr(x, y) lo, hi = boot_ci(x, y) print(f" {xname} vs {yname}: rho={rho:+.3f} p={p:.3f} CI=[{lo:+.2f}, {hi:+.2f}]") # Also recompute for original n=18 (for paper consistency) print(f"\n=== Original n=18 (for comparison) ===") top18 = topsim[:18]; pd18 = posdis[:18]; ca18 = causal[:18] c16_18 = cross16[:18]; c192_18 = cross192[:18] for x, xname in [(top18, "TopSim"), (pd18, "PosDis"), (ca18, "CausalSpec")]: for y, yname in [(c16_18, "Cross16"), (c192_18, "Cross192")]: rho, p = stats.spearmanr(x, y) lo, hi = boot_ci(x, y) print(f" {xname} vs {yname}: rho={rho:+.3f} p={p:.3f} CI=[{lo:+.2f}, {hi:+.2f}]") # Sufficiency observation: highest-PosDis configs vs lowest-PosDis print(f"\n=== Sufficiency observation ===") # Top 5 PosDis configs top5_pd_idx = np.argsort(posdis)[-5:] top5_pd = posdis[top5_pd_idx] top5_cross = cross192[top5_pd_idx] print(f"Top 5 PosDis: {top5_pd.tolist()} Cross192: {top5_cross.tolist()} range: {top5_cross.min():.1f}-{top5_cross.max():.1f}%") bot5_pd_idx = np.argsort(posdis)[:5] bot5_pd = posdis[bot5_pd_idx] bot5_cross = cross192[bot5_pd_idx] print(f"Bot 5 PosDis: {bot5_pd.tolist()} Cross192: {bot5_cross.tolist()} range: {bot5_cross.min():.1f}-{bot5_cross.max():.1f}%")