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{
"spec_version": "v0.2.6-exp.1-final",
"seeds": {
"seed_data": 104729,
"seed_model": 130363,
"seed_decode": 155921
},
"timing_repeats": 3,
"metric_definitions": {
"e_ood_raw": "held-out shortcut-intervention MSE with X1 fixed; same raw observation as e_inv",
"delta_e_ood_absolute": "e_ood_base_raw - e_ood_group_raw; unbounded below",
"r_ood_relative_improvement": "delta_e_ood_absolute / (e_ood_base_raw + 1e-12); upper-bounded by 1",
"predictive_ood_mse_raw": "held-out label prediction MSE; retained separately and never used in delta_e_ood",
"e_inv": "alias of e_ood_group_raw; lower is better",
"e_sens": "absolute error of dŷ/dX1 from the structural slope; lower is better",
"c_train_ratio": "median group training wall time divided by No-K wall time",
"c_infer_ratio": "forward-pass graph cost divided by No-K; identical architecture gives 1"
},
"headline_correct_k": {
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"e_ood_group_correct_k_raw": 6.353416637239206e-08,
"delta_e_ood_absolute": 1.6329936345859508,
"r_ood_relative_improvement": 0.9999999610928282,
"c_train_ratio": 1.8787562461649783,
"c_infer_ratio": 1.0
},
"results": [
{
"group": "Group 0 (No K)",
"lambda_reg": 0.0,
"claim_meta": {
"non_causal_indices": [],
"is_active": false
},
"wall_seconds": 0.02479749999474734,
"ood_mse": 3.8300702571868896,
"invariance_error": 1.6329936981201172,
"sensitivity_error": 1.039240837097168,
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],
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"e_sens": 1.039240837097168,
"c_train_ratio": 1.0,
"c_infer_ratio": 1.0
}
},
{
"group": "Group 1 (Correct K)",
"lambda_reg": 4.0,
"claim_meta": {
"non_causal_indices": [
1,
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],
"is_active": true
},
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"ood_mse": 0.015115885995328426,
"invariance_error": 6.353416637239206e-08,
"sensitivity_error": 0.0008015632629394531,
"feature_gradients": [
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],
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"c_train_ratio": 1.8787562461649783,
"c_infer_ratio": 1.0
}
},
{
"group": "Group 2 (Wrong K)",
"lambda_reg": 4.0,
"claim_meta": {
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],
"is_active": true
},
"wall_seconds": 0.04202995804371312,
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"evaluation_vector": {
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"delta_e_ood_absolute": -4.142152786254883,
"r_ood_relative_improvement": -2.536539357757928,
"e_inv": 5.775146484375,
"e_sens": 2.0115741724148393,
"c_train_ratio": 1.6949272326894242,
"c_infer_ratio": 1.0
}
},
{
"group": "Group 3 (Partial K)",
"lambda_reg": 4.0,
"claim_meta": {
"non_causal_indices": [
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],
"is_active": true
},
"wall_seconds": 0.04086691699922085,
"ood_mse": 0.5393426418304443,
"invariance_error": 0.2759785056114197,
"sensitivity_error": 0.39242076873779297,
"feature_gradients": [
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],
"evaluation_vector": {
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"delta_e_ood_absolute": 1.3570151925086975,
"r_ood_relative_improvement": 0.8309984258175926,
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"e_sens": 0.39242076873779297,
"c_train_ratio": 1.6480256883910622,
"c_infer_ratio": 1.0
}
},
{
"group": "Group 4 (Stale K)",
"lambda_reg": 4.0,
"claim_meta": {
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],
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"r_ood_relative_improvement": 0.0,
"e_inv": 1.6329936981201172,
"e_sens": 1.039240837097168,
"c_train_ratio": 1.003211008978343,
"c_infer_ratio": 1.0
}
},
{
"group": "Group 5 (Stale K, fault-injected active)",
"lambda_reg": 4.0,
"claim_meta": {
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},
"wall_seconds": 0.046929624979384243,
"ood_mse": 14.126823425292969,
"invariance_error": 6.908834457397461,
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"evaluation_vector": {
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"e_sens": 2.0078989220783114,
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}
}
]
}