Challenge: Existing models that target a single language are not seen during finetuning, but are able to respond in multiple languages once deployed in downstream applications.
Approach: They investigate the minimal amount of multilinguality required during finetuning to elicit effective cross-lingual generalisation in English-centric LLMs.
Outcome: The proposed model can respond in as few as two to three languages to a user's query in English, but the degree to which a target language is seen during pretraining is limiting.

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Challenge: a study of multilingual pre-trained LLMs on parallel instruction-tuning benchmarks shows that instruction-following models can be used across languages by up to 9.9%.
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Challenge: Using multilingual instruction tuning, large language models can be used to follow instructions in multiple languages . a multilingual model can be tuned on a wide range of languages, yet most datasets are limited to English .
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Challenge: Large language models (LLMs) have demonstrated multilingual capabilities, yet they are mostly English-centric due to the imbalanced training corpora.
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Challenge: Large Language Models (LLMs) show strong performance on English tasks, but their performance in other languages is limited.
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LLMs Beyond English: Scaling the Multilingual Capability of LLMs with Cross-Lingual Feedback (2024.findings-acl)

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Challenge: Recent multilingual models support limited number of human languages due to lack of training data for low resource languages.
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Challenge: Many large language models (LLMs) support many languages, while others only support a few, e.g. the Llama series.
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Challenge: Existing studies have shown that large language models can perform a wide variety of language tasks when presented in English.
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Challenge: Existing solutions to large language models (LLMs) are English-centric, hindering their application to 6500+ existing languages.
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Multilingual Large Language Models Are Not (Yet) Code-Switchers (2023.emnlp-main)

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Challenge: Existing multilingual Large Language Models are not specifically trained with objectives for managing code-switching scenarios.
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