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Hyperbolic (Poincaré) probing

Techniqueadvanced

A structural probe whose target metric space is a Poincaré ball rather than flat Euclidean space — a linear map into the tangent space at the origin, followed by the exponential map into the ball, then the hyperbolic distance/norm-from-origin replace the Euclidean d_B(u,v) and ||u||_B used by an ordinary structural probe.

Used in (1 observation)

A fitted linear metric embeds dependency trees in BERT/ELMo geometrymeasured
structure: Tree Metric Embedding · models: ELMo (5.5B-word pretrained, 2-layer biLSTM), BERT-base-cased, BERT-large-cased · paper: A Structural Probe for Finding Syntax in Word Representations, Probing BERT in Hyperbolic Spaces