STRING parameterizes translation-invariant position encodings as exponentials of commuting skew-symmetric generators, proving they are exactly RoPE in a learnable orthogonal basis, and shows practical gains in 2D/3D vision and robotics.
Ramadge, and Alexander Rudnicky
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Learning the RoPEs: Better 2D and 3D Position Encodings with STRING
STRING parameterizes translation-invariant position encodings as exponentials of commuting skew-symmetric generators, proving they are exactly RoPE in a learnable orthogonal basis, and shows practical gains in 2D/3D vision and robotics.