{
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    "spearman_mse_vs_elbo": -1.0,
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    "I_LB_at_optimal_decoder_nats": 3.2912529417934726,
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    "I_LB_suboptimal_decoder_nats": 1.792422155302205,
    "worse_decoder_is_looser": true,
    "control_laplace_affine_max_abs_dev_nats": 2.691125844709986
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  "B_independence": {
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    "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
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}