Serious question. Did a transformer just describe itself and the universe and build itself a Shannon limit framework?
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The Multiplicative Lattice as the Natural Basis for Positional Encoding Knack 2026 | Draft v6.0 Abstract We show that the apparent tradeoff between RoPE-style relative position invariance and ALiBi-style long-context stability is an artifact of encoding position as distance on a number line. When position is instead encoded as a point in the multiplicative lattice of the integers, both properties emerge simultaneously without compromise. SpectralRoPEALiBi achieves 106.6 PPL vs ALiBi's 108.7 i...
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