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{
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        "correct_centroid": {
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        "full_counterfactual": {
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        "full_counterfactual_direction_restored": {
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      "counterfactual_restoration_decisions": {
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        "original_answer_recovered_after_coordinate_restoration": 114,
        "recovery_fraction": 0.6195652173913043
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      "stratified_specific_effects": {
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        "answer_vocabulary": {
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              4.573353407118055
            ],
            "counterfactual_specific_estimate_ci95": [
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          "higher-lower": {
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              5.410374620225695
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              10.958028157552084,
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              12.646533033582898
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        },
        "answer_order": {
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          "standard": {
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              12.076268513997395
            ]
          }
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      }
    },
    {
      "scale": "12b",
      "model": "google/gemma-4-12B-it",
      "probe_layer": 39,
      "n_laws": 24,
      "n_prompts": 192,
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      "necessity_margin_drop": {
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        "activation_control_estimate_ci95": [
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        "specific_estimate_ci95": [
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      "counterfactual_coordinate": {
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          7.022085825602214,
          5.932338905334472,
          8.017909717559814
        ],
        "activation_control_estimate_ci95": [
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        ],
        "specific_estimate_ci95": [
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        "specific_permutation_p": 9.99990000099999e-06
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      "full_counterfactual": {
        "estimate_ci95": [
          21.93874740600586,
          19.159971300760905,
          24.42089436848958
        ],
        "direction_restored_estimate_ci95": [
          10.240282694498697,
          8.942734813690185,
          11.516595109303793
        ],
        "restoration_reduction_estimate_ci95": [
          11.698464711507162,
          10.013709163665771,
          13.108655230204265
        ],
        "restoration_permutation_p": 9.99990000099999e-06
      },
      "causal_mediation_fraction": {
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          0.2905349576720793,
          0.3479699265418605
        ],
        "restoration_over_full_estimate_ci95": [
          0.5332330280763723,
          0.5077407193566771,
          0.5563298612079105
        ]
      },
      "law_level_breadth": {
        "neutralization_positive": 24,
        "neutralization_specific_positive": 24,
        "counterfactual_coordinate_positive": 24,
        "counterfactual_specific_positive": 24,
        "restoration_reduction_positive": 24,
        "denominator_laws": 24,
        "neutralization_specific_one_sided_sign_p": 5.960464477539063e-08,
        "counterfactual_specific_one_sided_sign_p": 5.960464477539063e-08,
        "restoration_one_sided_sign_p": 5.960464477539063e-08
      },
      "next_token_kl": {
        "neutralize_estimate_ci95": [
          0.017193929544430917,
          0.0026666023959230315,
          0.0388019242426084
        ],
        "neutralize_control_estimate_ci95": [
          1.9182399652908685e-05,
          2.6114496111350295e-06,
          4.283227650735521e-05
        ],
        "counterfactual_coordinate_estimate_ci95": [
          0.39695642288884736,
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          0.5904121578484368
        ],
        "counterfactual_control_estimate_ci95": [
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          4.599365756095271e-05
        ],
        "full_counterfactual_estimate_ci95": [
          7.921978739499839,
          6.665503093044629,
          9.02019121913496
        ]
      },
      "error_repair": {
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        "repair_fraction": 0.25,
        "mean_margin_before": -5.640625,
        "mean_margin_after": -1.1015625,
        "mean_margin_change": 4.5390625
      },
      "answer_margin_accuracy_by_intervention": {
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