2 papers
cs.LG2025
Rethinking RoPE: A Mathematical Blueprint for N-dimensional Positional Embedding
Haiping Liu, Lijing Lin, Jingyuan Sun +3
Rotary Position Embedding (RoPE) is widely adopted in large language models (LLMs) due to its efficient encoding of relative positions with strong extrapolation capabilities. Howev…
math.RA2025
Polynomial invariants for low dimensional algebras
MarÃa Alejandra Alvarez, Artem Lopatin
We classify all two-dimensional simple algebras (which may be non-associative) over an algebraically closed field. For each two-dimensional algebra , we describe a min…