Challenge: Cross-lingual word embeddings are becoming increasingly important in multilingual NLP.
Approach: They propose to apply an additional transformation after initial alignment to align two disjoint monolingual vector spaces.
Outcome: The proposed approach outperforms state-of-the-art models in monolingual and cross-lingual evaluation tasks.

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A Simple Approach to Learning Unsupervised Multilingual Embeddings (2020.emnlp-main)

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Challenge: Recent work on unsupervised cross-lingual embeddings in the bilingual setting has given the impetus to learning a shared embeddable space for several languages.
Approach: They propose to solve two sub-problems together to learn a shared embedding space for several languages.
Outcome: The proposed approach outperforms existing methods in bilingual lexicon induction, cross-lingual word similarity, multilingual document classification, and multilingual dependency parsing tasks.
Hierarchical Mapping for Crosslingual Word Embedding Alignment (2020.tacl-1)

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Challenge: Existing strategies that map word embeddings into a crosslingual space are biased towards the choice of the pivot language.
Approach: They propose to map any two languages into a different middle space by learning mappings across languages in a hierarchical way.
Outcome: The proposed strategy significantly improves vocabulary induction scores in all existing benchmarks and in a new non-English–centered benchmark.
Beyond Offline Mapping: Learning Cross-lingual Word Embeddings through Context Anchoring (2021.acl-long)

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Challenge: Recent research on cross-lingual word embeddings has been dominated by unsupervised mapping approaches that align monolingual embedders.
Approach: They propose an unsupervised mapping approach that fixes fixed embeddings and learns new ones for the source language that are aligned with them.
Outcome: The proposed method outperforms conventional mapping methods on bilingual lexicon induction and obtains competitive results in the downstream XNLI task.
KIT-Multi: A Translation-Oriented Multilingual Embedding Corpus (L18-1)

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Challenge: Cross-lingual word embeddings are representations of words across languages in a shared continuous vector space.
Approach: They propose a multilingual word embedding corpus which is acquired by neural machine translation and is based on monolingual data.
Outcome: The proposed method is competitive with existing methods but on the cross-lingual document classification task, it obtains the best figures.
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.
Linear Cross-Lingual Mapping of Sentence Embeddings (2024.findings-acl)

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Challenge: Existing studies show that a sentence has less ambiguity than a single word . if the word semantics is changed in translation, then a better translation is possible.
Approach: They propose a linear cross-lingual mapping to improve multilingual embeddings . they also consider deviation from orthogonality conditions as a measure of deficiency .
Outcome: The proposed method improves the multilingual embeddings by allowing for a linear cross-lingual mapping.
English-Malay Cross-Lingual Embedding Alignment using Bilingual Lexicon Augmentation (2022.acl-srw)

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Challenge: Embedings that are pre-trained monolingually are limited to tasks only in its own language.
Approach: They propose to create English-Malay cross-lingual word embeddings using embedd alignment by exploiting existing language resources.
Outcome: The proposed approach improves the quality of the existing English-Malay bilingual lexicon and the effect of Malay word coverage on the quality.
Understanding Cross-Lingual Alignment—A Survey (2024.findings-acl)

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Challenge: Cross-lingual alignment is the meaningful similarity of representations across languages in multilingual language models.
Approach: They propose a taxonomy of methods to improve cross-lingual alignment . they argue that an effective trade-off between language-neutral and language-specific information is key .
Outcome: The proposed methods can be applied to encoder models and encoder-decoder-only models . they show that language-neutral and language-specific information is key .
Multi-lingual Common Semantic Space Construction via Cluster-consistent Word Embedding (D18-1)

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Challenge: a new approach to multilingual word embedding is needed to achieve this goal . a multilingual common semantic space is a language-agnostic semantic continuous space .
Approach: They propose a multilingual common semantic space where words from multiple languages are mapped into a shared space so that resources and knowledge can be shared across languages.
Outcome: The proposed approach achieves 14.6% absolute F-score gain over state-of-the-art methods on cross-lingual direct transfer.
Cross-Lingual Alignment of Contextual Word Embeddings, with Applications to Zero-shot Dependency Parsing (N19-1)

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Challenge: Existing methods for multilingual transfer are limited by their dynamic nature.
Approach: They propose a method that utilizes deep contextual embeddings, pretrained in an unsupervised fashion.
Outcome: The proposed method outperforms the state-of-the-art on 6 languages, yielding an improvement of 6.8 LAS points on average.

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