Cross-Lingual Alignment for Decoder-Only Models using MoE Routers

Lucas Bandarkar, Clark Peng, Ahmed Haj Ahmed, Aditi Khandelwal, Nanyun Peng

University of California, Los Angeles · Haverford College · MILA - Quebec AI Institute · McGill University

Published October 2, 2026 · on the feed October 7, 2026 · ▲ 2 · arXiv 2610.01921

Model architectureLanguage & dialogue Code arXiv ↗Hugging Face ↗

The abstract

Cross-lingual contrastive learning has been a core component of multilingual encoder training, but the ability to explicitly align representations is not possible in decoder-only LLMs because of varying multilingual tokenization. However, a growing amount of research suggests that even in LLMs, higher cross-lingual representational alignment leads to improved cross-lingual transfer. In this paper, we propose a novel approach to reimagine cross-lingual contrastive learning given the architectural constraints of modern LLMs. Rather than applying an auxiliary alignment loss on hidden states, we propose using the outputs of the mixture-of-experts (MoE) routers as the target for alignment. Router outputs lend themselves better to pooling over many tokens, enabling more reliable cross-lingual comparisons at the sequence-level. Controlled continual pre-training experiments on four open-source MoEs show that incorporating this routing loss also aligns the underlying hidden representations across languages. Most importantly, this loss improves multilingual performance on our diverse evaluation suite, demonstrating the potential of cross-lingual MoE router alignment.

The Brief

2:02

A short podcast summary of the paper. Written and voiced by AI.

Transcript

Cross-Lingual Alignment for Decoder-Only Models using MoE Routers. By Lucas Bandarkar and four others, from the University of California, Los Angeles, Haverford College, and two other institutions. Published on the second of October. Its code repository is public and real: about twenty-five source files.

Cross-lingual contrastive learning has been a core part of training multilingual encoders: representations of the same content in different languages are pulled explicitly together. Decoder-only language models have not been able to borrow that tool. Their multilingual tokenization varies from language to language, which makes explicit alignment of representations impossible in the form encoders used. That would matter less if alignment did not help, but a growing body of research suggests that even in large language models, higher cross-lingual representational alignment leads to better cross-lingual transfer.

The authors set out to reimagine contrastive alignment within the architectural constraints of modern models. Their move is to change what gets aligned. Rather than placing an auxiliary alignment loss on hidden states, they take the outputs of the mixture-of-experts routers as the alignment target. What the routers produce becomes the thing that two languages are asked to agree on, and the hidden states are left without a loss of their own.

The argument for routers is practical. Router outputs lend themselves better to pooling over many tokens, so a whole sequence can be summarised and compared with its counterpart in another language. That makes the cross-lingual comparison more reliable at the sequence level, rather than depending on any one token lining up with another.

The test is controlled continual pre-training on four open-source MoE models. Adding the routing loss turns out to align more than the routers: the underlying hidden representations become more aligned across languages as well. And, the result the authors call most important, the loss improves multilingual performance on their diverse evaluation suite.

The route here is indirect by design. Hidden states were the thing people wanted aligned, but they could not be compared cleanly across languages. Aligning the routers instead was enough to bring the hidden states along.

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