Uniform popularity vector uniquely minimizes LRU hit rate H_C(p) on the interior simplex, with strict radial increase proven via explicit positive pair-square formula for the derivative.
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EvoPref applies NSGA-II evolutionary optimization with archive-based diversity to populations of LoRA adapters, yielding 18% higher preference coverage and 47% lower collapse than gradient descent baselines while matching alignment quality.
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Radial Extremality for LRU Caching and the Fill--Holst Conjecture
Uniform popularity vector uniquely minimizes LRU hit rate H_C(p) on the interior simplex, with strict radial increase proven via explicit positive pair-square formula for the derivative.