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methods / Theoretical / Analytical / Geometric analysis / Rotor-invariant shift estimation (RISE)

Rotor-invariant shift estimation (RISE)

Techniqueadvanced

Fits a consistent rotational operator (rather than a fixed additive offset) on the embedding manifold that maps a base-context embedding to its semantically-transformed counterpart (e.g. negated, conditional, or polite variant), then tests whether the same fitted rotation transfers across languages and models.

Used in (1 observation)

structure: Linear Direction · models: text-embedding-3-large, BGE-M3, mBERT (BERT-base, Multilingual Cased) · paper: Mapping Semantic & Syntactic Relationships with Geometric Rotation in Embedding Space