Three selection criteria separate at different rates — LOO-CV is inconsistent
BlackHC · x · 2026-09-09
Quantitative result from the thread: with equal loss floors, models separate at three different rates (Δλ is the model complexity delta):
- Final height: gap Δλ/N — LOO-CV is inconsistent (Shao 1993)
- Last-half tail: Δλ·log 2 — constant
- Total area: Δλ·log N — grows without bound
Conclusion: "best model" is incomplete until you specify which part of learning and deployment you value. The full post includes the exact identity, flip-order results, crossing regimes, a toy experiment, and an interactive panel.
More from Research
- Waterloo deep learning theory lecture notes on neural network scaling limits released — thegautamkamath · 2026-09-09
- Anthropic's first economics paper models transformative AI scenarios with 15% annual GDP growth — soumitrashukla9 · 2026-09-09
- Ben Lorica: Your Model Is a Rental, the Improvement Loop Is the Asset—Forget RSI Hype — bigdata · 2026-09-09
- In 2000, Alain Connes Said the Millennium Problems Were 'Totally Inaccessible to Computers' — minilek · 2026-09-09
- Researcher calls for mathematically defined problem lists in every field, citing AI's scalable verification — ValerioCapraro · 2026-09-09
- Dev Spotlight: Transformers Forced to Predict Themselves and Build Belief States — yacinelearning · 2026-09-09