| { |
| "assessment": "verified", |
| "bernoulli_ks_improves_100_to_2000": true, |
| "beta_final_ks_below_0_03": true, |
| "fixed_n_clt": { |
| "bernoulli": [ |
| { |
| "n": 100, |
| "normal_ks": 0.14840592750346715, |
| "paths": 5000, |
| "standardized_mean": 0.24506037701898298, |
| "standardized_variance": 1.1023049851286795 |
| }, |
| { |
| "n": 500, |
| "normal_ks": 0.04173293775063873, |
| "paths": 5000, |
| "standardized_mean": 0.09814720029471675, |
| "standardized_variance": 1.003909259628457 |
| }, |
| { |
| "n": 1000, |
| "normal_ks": 0.027220442095325634, |
| "paths": 5000, |
| "standardized_mean": 0.0625028824255634, |
| "standardized_variance": 1.02130400376166 |
| }, |
| { |
| "n": 2000, |
| "normal_ks": 0.023373629898683607, |
| "paths": 5000, |
| "standardized_mean": 0.052546007163479146, |
| "standardized_variance": 1.0058119460408557 |
| } |
| ], |
| "bernoulli_oracle": { |
| "ell_x0": 0.28768207245178085, |
| "ell_x1": -0.1541506798272583, |
| "kl_inf": 0.022582421084357415, |
| "lambda_star": 0.47619047619047605, |
| "m0": 0.7, |
| "p": 0.6, |
| "sigma_squared": 0.04685188343675298, |
| "stopping_sigma_squared": 4068.324165943995 |
| }, |
| "beta": [ |
| { |
| "n": 1000, |
| "normal_ks": 0.014912901352047148, |
| "paths": 5000, |
| "standardized_mean": 0.03854332376613194, |
| "standardized_variance": 0.9986271749057966 |
| }, |
| { |
| "n": 2000, |
| "normal_ks": 0.011988900795408514, |
| "paths": 5000, |
| "standardized_mean": 0.02253037708653511, |
| "standardized_variance": 0.9687695995559917 |
| } |
| ], |
| "beta_oracle": { |
| "distribution": "Beta(3,2)", |
| "kl_inf": 0.13361405651995045, |
| "lambda_star": 2.72075767579999, |
| "m0": 0.7, |
| "sigma_squared": 0.24039364204799762 |
| }, |
| "dual_decomposition": [ |
| { |
| "leading_term_standardized_ks": 0.0446543126962895, |
| "maximum_reconstruction_residual": 1.1102230246251565e-16, |
| "n": 100, |
| "optimization_term_rms": 0.0856072151751973 |
| }, |
| { |
| "leading_term_standardized_ks": 0.028032236762613627, |
| "maximum_reconstruction_residual": 1.1102230246251565e-16, |
| "n": 500, |
| "optimization_term_rms": 0.03837367264291397 |
| }, |
| { |
| "leading_term_standardized_ks": 0.0225337415746808, |
| "maximum_reconstruction_residual": 1.1102230246251565e-16, |
| "n": 1000, |
| "optimization_term_rms": 0.027957752784735702 |
| }, |
| { |
| "leading_term_standardized_ks": 0.013671866500478247, |
| "maximum_reconstruction_residual": 1.1102230246251565e-16, |
| "n": 2000, |
| "optimization_term_rms": 0.01936522864930784 |
| } |
| ], |
| "zero_lambda_control": { |
| "destroys_positive_kl_signal": true, |
| "lambda": 0, |
| "objective_for_every_sample": 0 |
| } |
| }, |
| "paper_native_paths_per_cell": 5000 |
| } |
|
|
