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Poincare Glove: Hyperbolic Word Embeddings

ICLR 2019 · Label-efficient and robust learning › Recognition and long-tail · approach: Multilingual language representation pretraining

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace Euclidean GloVe with Poincaré GloVe using cosh² distance and the initialization trickGloVe word embeddings · Word similarity benchmarksSpearman correlation: 0.3798 -> 0.4187 (RareWord); 0.5901 -> 0.6209 (WordSim); 0.2963 -> 0.3208 (SimLex); 0.1675 -> 0.1915 (SimVerb); 0.6524 -Helped
Use Poincaré GloVe with cosh² distance and the initialization trickWord analogy embeddings · Google and MSR analogy benchmarksaccuracy: 0.6167 -> 0.6339 (Google); 0.4868 -> 0.4971 (MSR)Helped
Use unsupervised Poincaré GloVe with x² distanceHypernymy detection · WBLESSaccuracy: 0.575 -> 0.652Helped
Use unsupervised Poincaré GloVe with x² distanceHypernymy detection · HyperLexSpearman correlation: 0.284 -> 0.341 (x² model); 0.284 (cosh² model); baseline 0.345Mixed
Add 400 generic and 400 specific WordNet words to identify the Gaussian-variance direction (ablation)50x2D Poincaré GloVe, x² · HyperLexSpearman correlation: 0.341 -> 0.421Helped
Add 400 generic and 400 specific WordNet words to identify the Gaussian-variance direction (ablation)50x2D Poincaré GloVe, x² · WBLESSaccuracy: 0.652 -> 0.790Helped
Replace x² distance with cosh² distance (ablation)50x2D Poincaré GloVe with unsupervised hypernymy scoring · WBLESSaccuracy: 0.652 -> 0.575Hurt
Initialize from a model trained on the restricted 50k vocabulary (ablation)Poincaré GloVe · Word similarity benchmarksSpearman correlation: RareWord 0.3996 -> 0.4187; WordSim 0.6486 -> 0.6209Mixed
Use Riemannian Adagrad instead of Riemannian SGD (ablation)Poincaré GloVe optimization · Word embedding experimentsperformanceHelped
Average target and context word vectors instead of using only the target vector (ablation)Word embedding evaluation · Analogy benchmarksaccuracy: For 100D Poincaré GloVe, cosh², init: SemGoogle 0.6641 -> 0.6776; Google 0.6339 -> 0.6210Mixed

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