| { |
| "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", |
| "selection": "fixed example: confirmation seed4, smooth_odd, learned_piecewise_head; not best-selected", |
| "format": "constant plus weighted ReLU hinges; output=abs(x)*head(x)", |
| "protected_set": [ |
| 0.0 |
| ], |
| "head_lipschitz_cap": 2.0, |
| "head_magnitude_cap": 1.0, |
| "output_lipschitz_cap": 1.0, |
| "regularity_domain": "all real x with constant head tails", |
| "conditional_error_domain": [ |
| -1.0, |
| 1.0 |
| ], |
| "conditional_uniform_error_bound": 0.11332044349661452, |
| "numerical_scope": "floating coefficient and residual checks, not outward-rounded verification", |
| "head_bias": -0.2719588527230189, |
| "hinge_knots": [ |
| -1.0, |
| -0.75, |
| -0.5, |
| -0.25, |
| 0.0, |
| 0.25, |
| 0.5, |
| 0.75, |
| 1.0 |
| ], |
| "hinge_weights": [ |
| -0.959490425665984, |
| 0.8849334923660974, |
| 0.46837482701419386, |
| 1.606182106283693, |
| -0.13596756192718118, |
| -1.2426882920472129, |
| -0.9786920597575497, |
| -0.22412493249590248, |
| 0.581472846229846 |
| ], |
| "exact_head_bias": "-2449587575566991/9007199254740992", |
| "exact_hinge_knots": [ |
| "-1", |
| "-3/4", |
| "-1/2", |
| "-1/4", |
| "0", |
| "1/4", |
| "1/2", |
| "3/4", |
| "1" |
| ], |
| "exact_hinge_weights": [ |
| "-1080290180873721/1125899906842624", |
| "996346536616907/1125899906842624", |
| "527343174102711/1125899906842624", |
| "28934404541393591/18014398509481984", |
| "-1224686922459455/9007199254740992", |
| "-22386282116006025/18014398509481984", |
| "-1101909298908641/1125899906842624", |
| "-126171120309123/562949953421312", |
| "654680223401699/1125899906842624" |
| ], |
| "head_knot_values": [ |
| -0.2719588527230189, |
| -0.5118314591395149, |
| -0.5304706924644865, |
| -0.4320162190359097, |
| 0.06798378096359035, |
| 0.5339918904812951, |
| 0.6893279269871967, |
| 0.5999909485537108, |
| 0.45462273699624933 |
| ], |
| "observed_contract_metrics": { |
| "head_norm": 0.6893279269871967, |
| "head_lipschitz": 1.9999999999980003, |
| "output_lipschitz": 0.9999999999989999 |
| }, |
| "sample_inputs": [ |
| -1.0, |
| -0.9509075555050794, |
| -0.8832313250938868, |
| -0.7155398729044384, |
| -0.6416483482288671, |
| -0.6019241856908437, |
| -0.4895334001384031, |
| -0.4293077808283787, |
| -0.37097341135238304, |
| -0.337488271910932, |
| -0.3275491527924268, |
| -0.26108359782534496, |
| -0.25347696445104617, |
| -0.23677161091707988, |
| -0.20511607035897028, |
| -0.0872351528165407, |
| -0.013741258023601821, |
| 0.0, |
| 0.2355877770925643, |
| 0.287289256232933, |
| 0.2905186208059731, |
| 0.3251270527350403, |
| 0.3312638487305408, |
| 0.3531020055038063, |
| 0.5756449577672729, |
| 0.752172385419781, |
| 0.7741339045545554, |
| 0.7764294448805311, |
| 0.7936154030445695, |
| 0.8838404219121152, |
| 0.9009908239640447, |
| 0.9199502682825464, |
| 1.0 |
| ], |
| "sample_labels": [ |
| -0.3745696258251652, |
| -0.38802029865305754, |
| -0.40060428493744105, |
| -0.4010120483751371, |
| -0.3872736506483836, |
| -0.3764806477969653, |
| -0.3337496532387605, |
| -0.3039884525318506, |
| -0.27108720743123976, |
| -0.2505577620489563, |
| -0.24425051068464812, |
| -0.19978967569012715, |
| -0.19446855953025347, |
| -0.18263116875516733, |
| -0.15966891193704374, |
| -0.06944552283146509, |
| -0.010991665457696679, |
| 0.0, |
| 0.18178465841282207, |
| 0.21777102503224088, |
| 0.21994773542273313, |
| 0.24269920773306194, |
| 0.24661888977915397, |
| 0.26027140118124914, |
| 0.36807095809951784, |
| 0.4046929580808543, |
| 0.40589159284735143, |
| 0.4059731090857995, |
| 0.40631987082709947, |
| 0.4005224559516784, |
| 0.3979824120524019, |
| 0.3946465476587298, |
| 0.3745696258251652 |
| ] |
| } |
