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Discovering Universal Geometry in Embeddings with ICA

Home Page: https://aclanthology.org/2023.emnlp-main.283/

Dockerfile 0.35% Shell 0.62% Python 99.03%
cross-lingual embeddings emnlp emnlp2023 ica independent-component-analysis interpretability isotropy pca principal-component-analysis whitening

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shimosan avatar sun-jacobi avatar ymgw55 avatar

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universal-geometry-with-ica's Issues

Why ica.mixing_?

https://github.com/shimo-lab/Universal-Geometry-with-ICA/blob/92a1c4fd628f2c9457df710b461370fa1ecdcc65/universal/src/crosslingual_save_pca_and_ica_embeddings.py#L254C1-L257C30

ica = FastICA(**ica_params)
ica.fit(pca_embed)
R = ica.mixing_
ica_embed = pca_embed @ R

Hi, authors. Thank you for your work. I would like to ask why here using "ica.mixing_", rather than "ica.components_"? I think pca_embed @ ica.components_ is to transform the original data space into a more independent one and it is equal to "ica.fit_transform". I don't know if I am right when I am reading this sklearn guidance.

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