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REPORT.md: two-session re-check and new-user results

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@@ -396,6 +396,42 @@ On this Reddit trace the community name genuinely predicted engagement. For exam
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  - Both are well above random everywhere.
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  - Single feeds (one request) are noisy: a 10-position list with 10–11 engaged posts out of 89–142.
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  ## 14. Backend compatibility
 
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  - Both are well above random everywhere.
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  - Single feeds (one request) are noisy: a 10-position list with 10–11 engaged posts out of 89–142.
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+ **Re-check on your two later sessions** (`engine_v2/validate_two_sessions.py` → `artifacts/validation_two_sessions.json`; each engine with its own content vectors)
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+ | | Session 1 (89 posts, 11 engaged) | | | Session 2 (142 posts, 10 engaged) | | |
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+ |---|---|---|---|---|---|---|
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+ | | NDCG@10 | engaged in top 10 | AUC | NDCG@10 | engaged in top 10 | AUC |
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+ | Engine 2.0 | 0.255 | 3 | 0.688 | 0.110 | 1 | 0.498 |
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+ | 2.0 without content vectors | 0.249 | 3 | 0.760 | 0.110 | 1 | 0.532 |
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+ | Engine 1.1 | 0.413 | 5 | 0.780 | 0.110 | 1 | 0.602 |
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+ | Reddit feed order | 0.641 | 6 | 0.917 | 0.312 | 3 | 0.773 |
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+ | Random | 0.124 | 1.1 | 0.50 | 0.070 | 0.6 | 0.50 |
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+ 25-post pages: 2.0 scored 0.468 and 0.403 (1.1: 0.559 and 0.381). 2.0 lost two engaged posts from the session-1 top 10. Its top two posts there were finance posts promoted by the topic-first rule, because "investing-and-markets" is one of P09's inferred interests.
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+ **New users** (`engine_v2/validate_new_users.py` → `artifacts/new_user_report.json`)
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+ The same real feeds, ranked as if each user had just signed up: picked interests only, no history (the code checks that w = 0). NDCG@10:
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+ | Feed | New user (interests only) | New user, no interests | Same user, full history | Random |
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+ |---|---|---|---|---|
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+ | Validation, whole feeds | 0.525 | 0.564 | 0.650 | 0.350 |
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+ | Validation, 25-post pages | 0.525 | 0.568 | 0.559 | 0.350 |
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+ | Test, whole feeds | 0.410 | 0.303 | 0.340 | 0.201 |
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+ | Test, 25-post pages | 0.426 | 0.460 | 0.415 | 0.286 |
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+ | Session 1, one feed | 0.221 | 0.445 | 0.255 | 0.119 |
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+ | Session 1, pages | 0.341 | 0.527 | 0.468 | 0.282 |
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+ | Session 2, one feed | 0.139 | 0.139 | 0.110 | 0.079 |
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+ | Session 2, pages | 0.359 | 0.377 | 0.403 | 0.245 |
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+ | **Mean** | **0.368** | **0.423** | **0.400** | **0.239** |
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+ **Reading the results**
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+ - A brand-new user gets a useful feed from the first request: about 54% above random.
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+ - History adds on top (0.368 → 0.400).
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+ - A user with no picked interests is still served, ranked on post quality and content.
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+ These users never picked interests themselves; theirs were inferred from behaviour, and some guesses were wrong. That is why "no interests" scored highest. Real signup picks should match better. If they don't, lower `topic_first_slots` for new users (not changed in 2.0).
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  ---
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  ## 14. Backend compatibility