GRAPE unifies RoPE and ALiBi as special cases of group actions on positions, providing a principled design space for positional encodings via SO(d) rotations and GL unipotent transformations.
Special cases and composition.Iff t,h ≡e −βh (constant per head), thenD ij,h =−β h(i−j) and FoX reduces to exact ALiBi (Section 4.2)
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Group Representational Position Encoding
GRAPE unifies RoPE and ALiBi as special cases of group actions on positions, providing a principled design space for positional encodings via SO(d) rotations and GL unipotent transformations.