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LiRA: Linguistic Robust Anchoring for Cross-lingual Large Language Models

Haolin Li, Haipeng Zhang, Mang Li, Yaohua Wang, Lijie Wen, Yu Zhang, Biqing Huang

TL;DR

LiRA introduces a theoretically grounded framework that bridges cross-lingual gaps by anchoring low-resource language representations to an English semantic space and coupling retrieval with reasoning. The ARCA module aligns multilingual and English representations via embedding and translation critics plus a policy-driven Actor--Adaptor, while LaSR fuses multilingual and English embeddings for robust ranking and reasoning. Empirical results across retrieval, semantic similarity, mathematics, and comprehension show consistent improvements, particularly for low-resource languages, and ablations validate the necessity of both ARCA and LaSR components. The authors also release LazRetrieval, a multilingual product-retrieval dataset, to spur further work in multilingual cross-lingual understanding and retrieval. These advances offer practical impact for global information access by enhancing cross-lingual robustness under few-shot and noise-rich conditions.

Abstract

As large language models (LLMs) rapidly advance, performance on high-resource languages (e.g., English, Chinese) is nearing saturation, yet remains substantially lower for low-resource languages (e.g., Urdu, Thai) due to limited training data, machine-translation noise, and unstable cross-lingual alignment. We introduce LiRA (Linguistic Robust Anchoring for Large Language Models), a training framework that robustly improves cross-lingual representations under low-resource conditions while jointly strengthening retrieval and reasoning. LiRA comprises two modules: (i) Arca (Anchored Representation Composition Architecture), which anchors low-resource languages to an English semantic space via anchor-based alignment and multi-agent collaborative encoding, preserving geometric stability in a shared embedding space; and (ii) LaSR (Language-coupled Semantic Reasoner), which adds a language-aware lightweight reasoning head with consistency regularization on top of Arca's multilingual representations, unifying the training objective to enhance cross-lingual understanding, retrieval, and reasoning robustness. We further construct and release a multilingual product retrieval dataset covering five Southeast Asian and two South Asian languages. Experiments across low-resource benchmarks (cross-lingual retrieval, semantic similarity, and reasoning) show consistent gains and robustness under few-shot and noise-amplified settings; ablations validate the contribution of both Arca and LaSR. Code will be released on GitHub and the dataset on Hugging Face.

LiRA: Linguistic Robust Anchoring for Cross-lingual Large Language Models

TL;DR

LiRA introduces a theoretically grounded framework that bridges cross-lingual gaps by anchoring low-resource language representations to an English semantic space and coupling retrieval with reasoning. The ARCA module aligns multilingual and English representations via embedding and translation critics plus a policy-driven Actor--Adaptor, while LaSR fuses multilingual and English embeddings for robust ranking and reasoning. Empirical results across retrieval, semantic similarity, mathematics, and comprehension show consistent improvements, particularly for low-resource languages, and ablations validate the necessity of both ARCA and LaSR components. The authors also release LazRetrieval, a multilingual product-retrieval dataset, to spur further work in multilingual cross-lingual understanding and retrieval. These advances offer practical impact for global information access by enhancing cross-lingual robustness under few-shot and noise-rich conditions.

Abstract

As large language models (LLMs) rapidly advance, performance on high-resource languages (e.g., English, Chinese) is nearing saturation, yet remains substantially lower for low-resource languages (e.g., Urdu, Thai) due to limited training data, machine-translation noise, and unstable cross-lingual alignment. We introduce LiRA (Linguistic Robust Anchoring for Large Language Models), a training framework that robustly improves cross-lingual representations under low-resource conditions while jointly strengthening retrieval and reasoning. LiRA comprises two modules: (i) Arca (Anchored Representation Composition Architecture), which anchors low-resource languages to an English semantic space via anchor-based alignment and multi-agent collaborative encoding, preserving geometric stability in a shared embedding space; and (ii) LaSR (Language-coupled Semantic Reasoner), which adds a language-aware lightweight reasoning head with consistency regularization on top of Arca's multilingual representations, unifying the training objective to enhance cross-lingual understanding, retrieval, and reasoning robustness. We further construct and release a multilingual product retrieval dataset covering five Southeast Asian and two South Asian languages. Experiments across low-resource benchmarks (cross-lingual retrieval, semantic similarity, and reasoning) show consistent gains and robustness under few-shot and noise-amplified settings; ablations validate the contribution of both Arca and LaSR. Code will be released on GitHub and the dataset on Hugging Face.
Paper Structure (57 sections, 4 theorems, 59 equations, 10 figures, 10 tables)

This paper contains 57 sections, 4 theorems, 59 equations, 10 figures, 10 tables.

Key Result

Theorem 1

Under Assumptions assump:anchoring--assump:fidelity and Definitions def:kme--def:local-lip, let $\mathbf{z}^\star=[\,h(y^\star);\,h(y^\star)\,]$ and $\mathbf{z}=[\,g(x);\,h(y)\,]$. Then

Figures (10)

  • Figure 1: Challenge and overview of our LiRA.
  • Figure 2: An overview of Arca.
  • Figure 3: An overview of LaSR.
  • Figure 4: Empirical estimates of the RKHS bound $C$ across model scales. Each subfigure shows (left) a violin plot of $\|\widehat{h}(y)\|_2$, (middle) a histogram with the 99th percentile marked, and (right) a scatter of norms by sentence index.
  • Figure 5: Qwen3-Embedding-0.6B: Local Lipschitz analysis across $\delta$.
  • ...and 5 more figures

Theorems & Definitions (9)

  • Definition 1: RKHS representation
  • Definition 2: Data-local Lipschitzness
  • Theorem : Representation deviation
  • Corollary : Downstream stability
  • Theorem : Representation deviation bound
  • proof
  • Corollary
  • proof
  • Remark : On estimating the boundedness constant $C$