AINeutralarXiv – CS AI · 10h ago6/10
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Prime Fourier Embeddings: A Principled Basis for Modular Arithmetic
Researchers introduce Prime Fourier Embeddings (PFE), a neural representation method that encodes integers using prime-indexed trigonometric pairs to expose algebraic structure in modular arithmetic. The approach achieves perfect accuracy on modular tasks with specialized neural channels corresponding to individual primes, validated through ablation studies showing 500x specialization ratios between relevant and irrelevant channels.