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authorYurenHao0426 <blackhao0426@gmail.com>2026-06-29 12:15:51 -0500
committerYurenHao0426 <blackhao0426@gmail.com>2026-06-29 12:15:51 -0500
commita6ec4288a2232988b130b2f00bb2565f81706966 (patch)
tree1bb86e7f0b899b823b9e7fdf383e832d30a181e0 /analysis_2x2/early_pairing_hrm26040_joint.md
Recursive reasoning dynamics: analysis pipeline, paper drafts, toy models
Failure=more-chaotic (task-general under validity labeling) reduces to convergence/completeness detection; mechanism (transient chaos vs multistability vs input-induced) under investigation. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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+# Early-window pairing — hrm26040_joint
+- paired n=2048; final acc=0.5259; already-correct@step4=0.3447
+- of final-correct, fraction already correct@4: 0.6555
+- early-window lam1: final-correct med -0.1714, final-wrong med -0.1314
+
+## Forecasting FINAL outcome from the first 4 ACT steps
+- AUC(-lam1_early -> final correct) = 0.728
+- AUC(-drift@4 -> final correct) = 0.486
+- AUC(q_halt@4 -> final correct) = 0.908
+- reference: AUC(-lam1_full -> final correct) = 0.987
+
+## Restricted to examples NOT yet correct at step 4 (the decision-relevant set)
+- n=1342, of which eventually correct: 371 (0.276)
+- AUC(-lam1_early -> eventually correct) = 0.448
+- AUC(-drift@4 -> eventually correct) = 0.312
+- AUC(q_halt@4 -> eventually correct) = 0.734
+- early lam1 med: eventually-correct -0.1225 vs never-correct -0.1314 \ No newline at end of file