Challenge: Cross-lingual word embeddings encode the meaning of words from different languages into a shared low-dimensional space.
Approach: They show that modularity can be used to improve unsupervised word embeddings . they show that it is useful for low-resource languages where one often has few bilingual pairs .
Outcome: The proposed model improves unsupervised cross-lingual word embeddings on distant language pairs in low-resource settings.

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Evaluating Word Embeddings with Categorical Modularity (2021.findings-acl)

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Challenge: Existing word embeddings use different bilingual supervision signals with varying levels of strength.
Approach: They propose a graph modularity metric to measure word embedding quality . they use a set of 500 words belonging to 59 neurobiologically motivated semantic categories .
Outcome: The proposed metric measures word embedding quality on monolingual and cross-lingual tasks.
Analyzing the Limitations of Cross-lingual Word Embedding Mappings (P19-1)

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Challenge: Existing methods for cross-lingual word embeddings have limited results . existing methods require little or no cross-linguistic signal to work .
Approach: They compare offline mapping methods to an extension of skip-gram that jointly learns both embedding spaces.
Outcome: The proposed method yields more isomorphic embeddings, is less sensitive to hubness, and achieves stronger results in bilingual lexicon induction.
On the Robustness of Unsupervised and Semi-supervised Cross-lingual Word Embedding Learning (2020.lrec-1)

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Challenge: Cross-lingual word embeddings are vector representations of words in different languages where words with similar meaning are represented by similar vectors, regardless of the language.
Approach: They propose to evaluate multiple cross-lingual word embedding models and compare their strengths and limitations to evaluate their effectiveness.
Outcome: The proposed models perform well with noisy text and language pairs with major differences.
On the Correlation of Word Embedding Evaluation Metrics (2020.lrec-1)

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Challenge: Word embeddings are geometrical representations of word paradigmatics and syntagmatics.
Approach: They propose to investigate evaluation metrics on various datasets to find correlations . they propose a fast solution to select the best word embeddings among many others .
Outcome: The proposed method could be used to select the best word embeddings among many others.
A Closer Look on Unsupervised Cross-lingual Word Embeddings Mapping (2020.lrec-1)

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Challenge: Existing methods for word embeddings are limited to a single, unannotated corpus, which means that word representations with similar meaning in distinct languages can be very different.
Approach: They propose an unsupervised method for cross-lingual word embedding mapping that uses stochastic initialization and isometric initialization to verify the method's robustness.
Outcome: The proposed method is robust on different embedding representations and new language pairs, particularly those involving Slavic languages like Polish or Czech.
CLUSE: Cross-Lingual Unsupervised Sense Embeddings (D18-1)

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Challenge: Existing models for learning bilingual sense embeddings that encode semantics are weak for recognizing multi-sense word representations . elucidation of word embeddables is difficult because they do not allow a word to have different meanings in different contexts.
Approach: They propose a sense induction and representation learning model that learns bilingual sense embeddings that align well in the vector space.
Outcome: The proposed model shows that the learned embeddings are aligned well in the vector space.
How to (Properly) Evaluate Cross-Lingual Word Embeddings: On Strong Baselines, Comparative Analyses, and Some Misconceptions (P19-1)

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Challenge: Cross-lingual word embeddings (CLEs) are used for downstream NLP tasks . CLEs are based on bilingual lexicon induction (BLI) evaluations vary greatly, hindering ability to interpret performance and properties of different CLE models.
Approach: They evaluate CLE models for a large number of language pairs on bilingual lexicon induction and three downstream tasks.
Outcome: The proposed model performance is based on supervised and unsupervised models on bilingual lexicon induction and three downstream tasks.
Unsupervised Cross-Lingual Representation Learning (P19-4)

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Challenge: a comprehensive survey of cutting-edge weakly-supervised and unsupervised cross-lingual word representations is presented .
Approach: This tutorial provides a comprehensive survey of recent work on weakly-supervised and unsupervised cross-lingual word representations.
Outcome: This tutorial provides a comprehensive survey of cutting-edge weakly-supervised and unsupervised word representations.
Non-Linearity in Mapping Based Cross-Lingual Word Embeddings (2020.lrec-1)

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Challenge: Existing work on cross-lingual word embeddings rely on linear mappings, but this assumption is not true for all language pairs.
Approach: They propose a non-linear mapping approach which can find non-linesar relationships between languages by kernel Canonical Correlation Analysis.
Outcome: The proposed approach improves on five language pairs on supervised and self-learning scenarios.
Unsupervised Cross-lingual Transfer of Word Embedding Spaces (D18-1)

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Challenge: Existing methods for cross-lingual word mapping require cross-linguistic supervision, but this is not available for many low resource languages.
Approach: They propose an unsupervised method that learns transformation functions over corresponding word embedding spaces using a distributed distributional matching algorithm.
Outcome: The proposed method performs better on bilingual lexicon induction and cross-lingual word similarity prediction datasets than other supervised and unsupervised methods.

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