tsfp-repro-code / results /theorem31_audit.json
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{
"A_sufficiency": {
"affine_max_abs_dev_nats": 3.552713678800501e-15,
"slope_sign_negative": true,
"spearman_mse_vs_elbo": -1.0,
"true_MI_nats": 3.295836866004329,
"I_LB_at_optimal_decoder_nats": 3.2912529417934726,
"bound_holds_I_LB_le_MI": true,
"bound_gap_nats": 0.004583924210856516,
"I_LB_suboptimal_decoder_nats": 1.792422155302205,
"worse_decoder_is_looser": true,
"control_laplace_affine_max_abs_dev_nats": 2.691125844709986
},
"B_independence": {
"TC_identity_max_abs_dev_nats": 2.6645352591003757e-15,
"TC_at_rho_0": 0.0,
"TC_at_rho_0.9": 7.065110651401988,
"TC_monotone_in_rho": true,
"pearson_Ldiv_vs_TC": 0.9995154920006596,
"affine_fit_Ldiv_vs_TC_slope": 0.925398438812194,
"affine_fit_Ldiv_vs_TC_max_abs_resid_nats": 0.27941074620311035,
"Ldiv_range_nats": 8.566508280660617,
"spearman_Ldiv_vs_TC": 0.9998123827392121,
"Ldiv_at_rho_0": -16.5818135856591,
"Ldiv_at_rho_0.95": -8.044056893650616,
"Ldiv_increases_with_redundancy": true,
"Ldiv_orthogonal_tokens": -16.697549079582547,
"Ldiv_collapsed_tokens": -3.120137951768286,
"orthogonal_is_the_minimiser": true,
"Ldiv_random_tokens_mean": -16.589238607313284,
"orthogonal_beats_random": true,
"sylvester_abs_dev": 7.105427357601002e-15,
"control_gaussian_TC_gauss_formula": 0.764297731299674,
"control_gaussian_TC_knn_estimate": 0.7807934429302339,
"control_gaussian_abs_error": 0.01649571163055985,
"control_uniform_TC_gauss_formula": 0.772922784316371,
"control_uniform_TC_knn_estimate": 1.0592673578233711,
"control_uniform_abs_error": 0.28634457350700016,
"control_student_t3_TC_gauss_formula": 0.7257800149072109,
"control_student_t3_TC_knn_estimate": 0.9149427687286575,
"control_student_t3_abs_error": 0.18916275382144665
}
}