PoST reparameterizes decay spectra in linear recurrences with geometric log-spacing and position-adaptive scaling to achieve O(exp(-cN/log t)) decay, improving zero-shot language modeling and long-context retrieval across Mamba-2, RWKV-7 and similar models.
Furthermore, by Gonchar-Rakhmanov theory, a geometric progressionp ∗ k+1 −p ∗ k ≈const is asymptotically necessary to attain this minimax limit
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Optimal Decay Spectra for Linear Recurrences
PoST reparameterizes decay spectra in linear recurrences with geometric log-spacing and position-adaptive scaling to achieve O(exp(-cN/log t)) decay, improving zero-shot language modeling and long-context retrieval across Mamba-2, RWKV-7 and similar models.