#extremal principle
3 related articles
The Mathematical Physics of Rainbows a…
·4 min
The Mathematical Physics of Rainbows and Glories: From Geometric Optics to Complex Angular Momentum Theory
An in-depth analysis of the mathematical physics behind rainbows and glories, from Descartes' geometric optics and Airy function wave theory to complex angular momentum scattering theory.
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·3 min
The Sylvester–Gallai Theorem: Why Every Finite Point Set Must Have an Ordinary Line
An in-depth analysis of the Sylvester–Gallai Theorem: its history, Kelly's minimal distance proof, and its profound impact on combinatorial geometry. Learn why any finite non-collinear point set must have an ordinary line.
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·6 min
Using RL to Please the Reward Model: The Reward Hacking Concern Behind Soaring Elo Scores
When RL continuously optimizes models to please reward models, do soaring Elo scores truly represent capability gains? A deep dive into Reward Hacking in RLHF, Goodhart's Law in AI, and industry countermeasures.
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