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Under this setting, the total number of positional channels remains constant

For 2D inputs, each scale uses three simplex wave vectors, each represented by a cosine–sine pair, resulting in six embedding dimensions per scale · 2000 · arXiv 0381.6280

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nD-RoPE: A Generalized RoPE for n-Dimensional Position Embedding

cs.LG · 2026-06-10 · unverdicted · novelty 6.0

nD-RoPE derives an isotropic n-dimensional RoPE from a translation-invariant Hilbert-space formulation and instantiates it via multi-scale regular-simplex wave vectors, reporting gains on multi-dimensional data.

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  • nD-RoPE: A Generalized RoPE for n-Dimensional Position Embedding cs.LG · 2026-06-10 · unverdicted · none · ref 14

    nD-RoPE derives an isotropic n-dimensional RoPE from a translation-invariant Hilbert-space formulation and instantiates it via multi-scale regular-simplex wave vectors, reporting gains on multi-dimensional data.