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Running on Zero
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| { | |
| "headline": "Selected SAE features averaged 0.962 held-out AUROC. Max-active interventions covered 82.1% of causal tasks and changed mean log p/token by 0.041 in absolute value on average versus 0.018 for norm-matched random controls (2.33\u00d7).", | |
| "highlights": [ | |
| "Median selected-feature held-out AUROC: 0.987; mean AUROC 95% bootstrap CI [0.927, 0.994].", | |
| "Best residual linear-probe layer: 14 with macro AUROC 1.000.", | |
| "Mean paraphrase TopK Jaccard: 0.326; sparse activation cosine: 0.985.", | |
| "Feature coverage: final-token policy 28.6%; active anywhere in prompt 82.1%; max-active intervention 82.1%.", | |
| "Final-token task-level SAE/random ratio: 1.52\u00d7; paired advantage +0.0026, 95% CI [-0.0005, +0.0063], sign-flip p=0.1719.", | |
| "Max-active task-level SAE/random ratio: 2.33\u00d7; paired advantage +0.0237, 95% CI [+0.0067, +0.0469], sign-flip p=0.0001.", | |
| "Conditional on feature-active tasks, max-active SAE/random ratio: 2.33\u00d7 (n=23).", | |
| "Final-token top-5 joint ablation SAE/random ratio: 1.09\u00d7; paired advantage +0.0009, 95% CI [-0.0035, +0.0065], sign-flip p=0.7891.", | |
| "Across seven concepts, held-out AUROC vs max-active target specificity Spearman \u03c1=-0.185; descriptive only.", | |
| "Held-out AUROC vs max-active JS specificity Spearman \u03c1=-0.148; descriptive only." | |
| ], | |
| "interpretation": "Max-active interventions produced larger task-level target effects than norm-matched random controls with paired uncertainty excluding zero. Predictive SAE features therefore show causal specificity when intervened where the selected feature is actually represented, while the final-token baseline quantifies sensitivity to intervention location. Moving from the final prompt token to the feature's maximum-activation token increased intervention coverage from 28.6% to 82.1%, showing that causal conclusions depend materially on where the representation is tested.", | |
| "metrics": { | |
| "mean_selected_feature_test_auroc": 0.9622395833333334, | |
| "mean_selected_feature_test_auroc_bootstrap_ci_95": [ | |
| 0.9267066592261906, | |
| 0.994419642857143 | |
| ], | |
| "median_selected_feature_test_auroc": 0.9869791666666669, | |
| "best_linear_probe_layer": 14, | |
| "best_linear_probe_macro_auroc": 1.0, | |
| "mean_paraphrase_topk_jaccard": 0.32550299223975043, | |
| "mean_paraphrase_sparse_cosine": 0.9846351666472363, | |
| "final_token_feature_coverage": 0.2857142857142857, | |
| "prompt_anywhere_feature_coverage": 0.8214285714285714, | |
| "max_active_feature_coverage": 0.8214285714285714, | |
| "final_token_task_level": { | |
| "sae_abs": 0.007574045897594507, | |
| "random_abs": 0.004990028782880718, | |
| "ratio": 1.5178361142081527, | |
| "advantage": 0.002584017114713789, | |
| "ci": [ | |
| -0.0005489836530094687, | |
| 0.006322265709085119 | |
| ], | |
| "pvalue": 0.171875, | |
| "n_tasks": 28 | |
| }, | |
| "final_token_active_only": { | |
| "sae_abs": 0.026509160641580775, | |
| "random_abs": 0.017465100740082513, | |
| "ratio": 1.5178361142081527, | |
| "advantage": 0.009044059901498262, | |
| "ci": [ | |
| -0.0016551230626646388, | |
| 0.020267208322184146 | |
| ], | |
| "pvalue": 0.171875, | |
| "n_tasks": 8 | |
| }, | |
| "max_active_task_level": { | |
| "sae_abs": 0.04140681956362508, | |
| "random_abs": 0.01773720875956181, | |
| "ratio": 2.3344608571122225, | |
| "advantage": 0.023669610804063268, | |
| "ci": [ | |
| 0.0066882537599927475, | |
| 0.0468946453319534 | |
| ], | |
| "pvalue": 9.99950002499875e-05, | |
| "n_tasks": 28 | |
| }, | |
| "max_active_active_only": { | |
| "sae_abs": 0.05040830207745662, | |
| "random_abs": 0.021593123707292633, | |
| "ratio": 2.334460857112223, | |
| "advantage": 0.028815178370163983, | |
| "ci": [ | |
| 0.008352378036563645, | |
| 0.05887514829816571 | |
| ], | |
| "pvalue": 0.00014999250037498125, | |
| "n_tasks": 23 | |
| }, | |
| "feature_set_results": { | |
| "1": { | |
| "sae_abs": 0.0073844761188541, | |
| "random_abs": 0.00605300132052173, | |
| "ratio": 1.219969355337528, | |
| "advantage": 0.0013314747983323686, | |
| "ci": [ | |
| -0.0021684337141258357, | |
| 0.004932756118276826 | |
| ], | |
| "pvalue": 0.453125, | |
| "n_tasks": 28 | |
| }, | |
| "3": { | |
| "sae_abs": 0.01165702566504476, | |
| "random_abs": 0.00956058465609591, | |
| "ratio": 1.2192795821971139, | |
| "advantage": 0.0020964410089488496, | |
| "ci": [ | |
| -0.003360107559378132, | |
| 0.009788807602100323 | |
| ], | |
| "pvalue": 0.75146484375, | |
| "n_tasks": 28 | |
| }, | |
| "5": { | |
| "sae_abs": 0.010901511247668921, | |
| "random_abs": 0.00997775314109664, | |
| "ratio": 1.0925817760280598, | |
| "advantage": 0.0009237581065722826, | |
| "ci": [ | |
| -0.0035061794998390364, | |
| 0.006451443075535015 | |
| ], | |
| "pvalue": 0.7890625, | |
| "n_tasks": 28 | |
| } | |
| }, | |
| "study_summary": { | |
| "n_concepts": 7, | |
| "selected_feature_pooling": "prompt-wide max SAE activation across non-padding prompt tokens", | |
| "dense_probe_pooling": "final prompt token residual", | |
| "primary_causal_position_policy": "max_feature_activation", | |
| "causal_statistical_unit": "causal task; ablation and amplification are averaged within task before paired inference", | |
| "median_selected_feature_resample_support": 1.0, | |
| "final_token_feature_coverage": 0.2857142857142857, | |
| "max_active_feature_coverage": 0.8214285714285714, | |
| "final_token_target_specificity_ratio": 1.5178361142081527, | |
| "max_active_target_specificity_ratio": 2.3344608571122225, | |
| "final_token_target_paired_advantage": 0.002584017114713789, | |
| "max_active_target_paired_advantage": 0.023669610804063268, | |
| "final_token_target_paired_ci_95": [ | |
| -0.0005554523851190289, | |
| 0.006223834152167133 | |
| ], | |
| "max_active_target_paired_ci_95": [ | |
| 0.006155622166625111, | |
| 0.04787022493006328 | |
| ], | |
| "final_token_target_sign_flip_pvalue": 0.171875, | |
| "max_active_target_sign_flip_pvalue": 9.99950002499875e-05, | |
| "most_predictive_concept": { | |
| "concept": "german_language", | |
| "heldout_auroc": 1.0 | |
| }, | |
| "highest_max_active_target_specificity": { | |
| "concept": "uncertainty", | |
| "ratio": 5.5052321815575915 | |
| }, | |
| "highest_max_active_js_specificity": { | |
| "concept": "uncertainty", | |
| "ratio": 6.015626813896881 | |
| }, | |
| "correlations": { | |
| "heldout_auroc_vs_max_active_target_specificity": { | |
| "rho": -0.18531232916527532, | |
| "pvalue": 0.6907777961916857, | |
| "n": 7 | |
| }, | |
| "heldout_auroc_vs_max_active_js_specificity": { | |
| "rho": -0.14824986333222023, | |
| "pvalue": 0.7510797526579065, | |
| "n": 7 | |
| }, | |
| "heldout_f1_vs_max_active_target_specificity": { | |
| "rho": 0.21821789023599242, | |
| "pvalue": 0.638298871640929, | |
| "n": 7 | |
| }, | |
| "candidate_resample_support_vs_max_active_target_specificity": { | |
| "rho": NaN, | |
| "pvalue": NaN, | |
| "n": 7 | |
| } | |
| }, | |
| "guardrail": "Max-active causal positions are selected from SAE activation only, never from behavioral outcome. Cross-concept Spearman correlations are descriptive because the study contains seven concepts." | |
| } | |
| } | |
| } |