Challenge: Recent studies have shown that contextual language models display outlier dimensions . this is true for monolingual and multilingual models, but little work has been done on multilingual contexts .
Approach: They investigate outlier dimensions and their relationship to anisotropy in multilingual contexts . they focus on cross-lingual semantic similarity tasks .
Outcome: The proposed model improves on cross-lingual semantic similarity tasks.

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An Isotropy Analysis in the Multilingual BERT Embedding Space (2022.findings-acl)

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Challenge: Existing studies have explored the advantages of multilingual pre-trained models in capturing shared linguistic knowledge.
Approach: They investigate the anisotropic embedding space and outlier dimensions of the multilingual BERT model for two known issues of the monolingual models.
Outcome: The proposed model has no outlier dimension and has highly anisotropic space . the results show that increasing the isotropy of multilingual space can improve its representation power and performance, similar to what had been observed for monolingual CWRs on semantic similarity tasks.
Language Anisotropic Cross-Lingual Model Editing (2023.findings-acl)

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Challenge: Existing work studies monolingual model editing, which lacks cross-lingual transferability to perform editing simultaneously across languages.
Approach: They propose a framework to naturally adapt monolingual model editing approaches to the cross-lingual scenario using parallel corpus.
Outcome: The proposed framework adapts monolingual model editing approaches to the cross-lingual scenario using parallel corpus and amplifies different subsets of parameters for each language.
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 .
Is Anisotropy Truly Harmful? A Case Study on Text Clustering (2023.acl-short)

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Challenge: Contextualized pre-trained representations are widely used as input to various tasks such as information retrieval, anomaly detection and document clustering.
Approach: They propose to examine the impact of different transformations on isotropy and performance to assess the true impact of anisotropi.
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Representational Isomorphism and Alignment of Multilingual Large Language Models (2024.findings-emnlp)

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Challenge: Existing isomorphism of sentence representations can facilitate representational alignments in zero-shot and few-shot settings.
Approach: They propose to apply a contrastive objective to LLMs with a small number of translation pairs to improve models' performance on Semantic Textual Similarity tasks.
Outcome: The proposed representation-level approach significantly improves on Semantic Textual Similarity (STS) tasks across languages even without a monolingual objective.
A Massively Multilingual Analysis of Cross-linguality in Shared Embedding Space (2021.emnlp-main)

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Challenge: Cross-lingual language models house representations for many different languages in the same space.
Approach: They investigate linguistic and non-linguistic factors affecting sentence-level alignment in cross-lingual pretrained language models for 101 languages and 5,050 language pairs.
Outcome: The results show that word order agreement and agreement in morphological complexity are strongest predictors of cross-linguality.
Examining Cross-lingual Contextual Embeddings with Orthogonal Structural Probes (2021.emnlp-main)

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Challenge: Existing studies on whether multilingual embeddings can be aligned in a shared space across languages are lacking.
Approach: They propose to learn a projection based on monolingual annotated datasets and evaluate syntactic and lexical information encoded in a shared cross-lingual embedding space.
Outcome: The proposed model can be used to learn representations for languages with low resources.
Improving In-context Learning of Multilingual Generative Language Models with Cross-lingual Alignment (2024.naacl-long)

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Challenge: Existing studies show that multilingual generative models exhibit a strong language bias toward high-resource languages.
Approach: They propose a cross-lingual alignment framework exploiting pairs of translation sentences to improve cross-linguistic abilities.
Outcome: The proposed framework improves cross-lingual abilities and mitigates performance gap.
Are the Best Multilingual Document Embeddings simply Based on Sentence Embeddings? (2023.findings-eacl)

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Challenge: obtaining document embeddings at document level is challenging due to computational requirements and lack of appropriate data.
Approach: They compare methods to produce document-level representations from sentences based on LASER, LaBSE, and Sentence BERT pre-trained multilingual models.
Outcome: The proposed methods produce document-level representations from sentences in 8 languages . the results show that a clever combination of sentence embeddings is usually better than encoding the full document as a single unit.
Language Lives in Sparse Dimensions: Toward Interpretable and Efficient Multilingual Control for Large Language Models (2026.eacl-long)

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Challenge: Prior studies show that large language models map multilingual content into English-aligned representations at intermediate layers before projecting them back into target-language token spaces in the later layers.
Approach: They propose a method to identify and manipulate dimensions that are sparse and sparsity-based . they propose to use as few as 50 sentences of either parallel or monolingual data to manipulate these dimensions .
Outcome: Experiments on a multilingual generation control task show the interpretability of these dimensions.

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