{
  "hessian_pair_adam_1x_coupling": {
    "variant": "HessianPairAdam (Sophia-Torus, 1x coupling LR)",
    "stsb_dev_spearman_after": 0.7242,
    "stsb_dev_pearson_after": 0.6876,
    "stsb_test_spearman_after": 0.6337,
    "stsb_test_pearson_after": 0.6369,
    "elapsed_sec": 2218.5
  },
  "toroidal_muon": {
    "variant": "ToroidalMuon (Newton-Schulz Stage-Orthogonalized Sophia-Torus)",
    "stsb_dev_spearman_after": 0.7361,
    "stsb_dev_pearson_after": 0.7105,
    "stsb_test_spearman_after": 0.6197,
    "stsb_test_pearson_after": 0.6304,
    "elapsed_sec": 5774.74
  },
  "polar_natural_adam": {
    "variant": "PolarNaturalAdam (Riemannian Polar Metric + Cauchy-Riemann Hessian)",
    "stsb_dev_spearman_after": 0.7262,
    "stsb_dev_pearson_after": 0.702,
    "stsb_test_spearman_after": 0.6471,
    "stsb_test_pearson_after": 0.6494,
    "elapsed_sec": 4343.94
  },
  "rotor_adam": {
    "variant": "RotorAdam (Cayley Rational Retraction on SO(2)^P)",
    "stsb_dev_spearman_after": 0.7322,
    "stsb_dev_pearson_after": 0.7099,
    "stsb_test_spearman_after": 0.6329,
    "stsb_test_pearson_after": 0.6309,
    "elapsed_sec": 1926.34
  },
  "toroidal_lion": {
    "variant": "ToroidalLion (Sign-Momentum on Flat Torus T^P)",
    "stsb_dev_spearman_after": 0.7289,
    "stsb_dev_pearson_after": 0.697,
    "stsb_test_spearman_after": 0.6319,
    "stsb_test_pearson_after": 0.6341,
    "elapsed_sec": 1791.32
  },
  "cyclide_adam": {
    "variant": "CyclideAdam (Dupin Cyclide Conic Metric + Deviatoric Cascade Twist)",
    "s1_dev_spearman": 0.6255,
    "stsb_dev_spearman_after": 0.7368,
    "stsb_dev_pearson_after": 0.7179,
    "stsb_test_spearman_after": 0.6287,
    "stsb_test_pearson_after": 0.6476,
    "elapsed_sec": 380.42
  },
  "symplectic_adam": {
    "variant": "SymplecticAdam (Symplectic Non-Squeezing Floor + Casimir Cavity Cascade)",
    "s1_dev_spearman": 0.6198,
    "stsb_dev_spearman_after": 0.736,
    "stsb_dev_pearson_after": 0.7087,
    "stsb_test_spearman_after": 0.6516,
    "stsb_test_pearson_after": 0.6564,
    "elapsed_sec": 243.28
  },
  "gyric_adam": {
    "variant": "GyricAdam (Lande Gyroscopic Projection + Thomas Precession Damping)",
    "s1_dev_spearman": 0.6221,
    "stsb_dev_spearman_after": 0.7304,
    "stsb_dev_pearson_after": 0.7023,
    "stsb_test_spearman_after": 0.6455,
    "stsb_test_pearson_after": 0.6503,
    "elapsed_sec": 419.85
  },
  "hannay_adam": {
    "variant": "HannayAdam (Adiabatic Holonomy Scale-Angle Connection + Polar Metric)",
    "s1_dev_spearman": 0.6115,
    "stsb_dev_spearman_after": 0.7257,
    "stsb_dev_pearson_after": 0.699,
    "stsb_test_spearman_after": 0.6333,
    "stsb_test_pearson_after": 0.633,
    "elapsed_sec": 239.35
  },
  "poncelet_adam": {
    "variant": "PonceletAdam (Confocal Elliptic Closure Metric + Eccentricity-Gated Twist)",
    "s1_dev_spearman": 0.6262,
    "stsb_dev_spearman_after": 0.7275,
    "stsb_dev_pearson_after": 0.6987,
    "stsb_test_spearman_after": 0.6315,
    "stsb_test_pearson_after": 0.6374,
    "elapsed_sec": 267.34
  },
  "huygens_adam": {
    "variant": "HuygensAdam (Circular Splay-State Anti-Synchronization + Conic Metric)",
    "s1_dev_spearman": 0.6383,
    "stsb_dev_spearman_after": 0.7295,
    "stsb_dev_pearson_after": 0.7035,
    "stsb_test_spearman_after": 0.642,
    "stsb_test_pearson_after": 0.6469,
    "elapsed_sec": 331.8
  },
  "beltrami_adam": {
    "variant": "BeltramiAdam (Force-Free Helicity Vortex Alignment + Conic Metric)",
    "s1_dev_spearman": 0.6337,
    "stsb_dev_spearman_after": 0.7363,
    "stsb_dev_pearson_after": 0.7068,
    "stsb_test_spearman_after": 0.6333,
    "stsb_test_pearson_after": 0.6328,
    "elapsed_sec": 321.44
  },
  "rindler_adam": {
    "variant": "RindlerAdam (Rindler Hyperbolic Wedge Horizon + Acceleration Stiffness)",
    "s1_dev_spearman": 0.6208,
    "stsb_dev_spearman_after": 0.7318,
    "stsb_dev_pearson_after": 0.7069,
    "stsb_test_spearman_after": 0.6264,
    "stsb_test_pearson_after": 0.6353,
    "elapsed_sec": 271.68
  },
  "huygens_symplectic_adam": {
    "variant": "HuygensSymplecticAdam (Huygens Splay Curriculum -> Symplectic Non-Squeezing + Casimir Cavity)",
    "s1_dev_spearman": 0.6282,
    "stsb_dev_spearman_after": 0.7368,
    "stsb_dev_pearson_after": 0.709,
    "stsb_test_spearman_after": 0.6509,
    "stsb_test_pearson_after": 0.6548,
    "elapsed_sec": 236.41
  }
}