Once a Tree, Always a Tree? Cross-lingual Transfer of Hierarchical Generalization in Language Models

cs.CL Shin Yamaguchi, Masaya Taniguchi, Tatsuki Kuribayashi, Taro Watanabe, Yoshinobu Kano · Oct 22, 2026
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What it does
The paper asks whether language models can transfer hierarchical syntactic generalizations across languages. It introduces a cross-lingual poverty-of-stimulus (CPOS) design where positive evidence for hierarchical subject-verb agreement is...
Why it matters
It introduces a cross-lingual poverty-of-stimulus (CPOS) design where positive evidence for hierarchical subject-verb agreement is present only in the source language (L1), and tests transfer to an ambiguous target language (L2). The core...
Main concern
The paper finds limited cross-lingual transfer of hierarchical subject-verb agreement bias. Under full vocabulary overlap, English-to-English transfer yields a $\Delta\mathrm{acc}$ of +5.
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Plain-language introduction

The paper asks whether language models can transfer hierarchical syntactic generalizations across languages. It introduces a cross-lingual poverty-of-stimulus (CPOS) design where positive evidence for hierarchical subject-verb agreement is present only in the source language (L1), and tests transfer to an ambiguous target language (L2). The core finding is that transfer is weak and only reliably detectable when the two languages share vocabulary tokens, challenging the view that models abstract language-universal hierarchical rules independently of lexical overlap.

Critical review
Verdict
Bottom line

The paper finds limited cross-lingual transfer of hierarchical subject-verb agreement bias. Under full vocabulary overlap, English-to-English transfer yields a $\Delta\mathrm{acc}$ of +5.45 on CLAMS, but cross-lingual effects drop to +1.68 for German and below +1.1 for Russian and Japanese. Crucially, removing vocabulary overlap almost eliminates even within-language transfer, indicating that any observed generalization is tightly coupled to shared lexical embeddings rather than abstract structural rules. The overall assessment is that models do not robustly acquire a language-universal hierarchical bias that transfers independently of lexical form.

“LMs can partially, yet not perfectly, transfer L1 structural evidence to L2, yielding only a small but detectable hierarchical bias”
Yamaguchi et al. · Abstract
“the inductive bias for hierarchical generalization acquired during pretraining is not strictly tied to a single language, yet its deployment in a new language is conditional on a lexical bridge between the two”
Yamaguchi et al. · Section 8
What holds up

The CPOS experimental design is elegant and well-motivated: by removing positive hierarchical evidence from L2 and freezing the Transformer during continued pretraining, the authors create a clean causal test of transfer. The vocabulary-overlap ablation is carefully implemented following Kallini et al. (2025) and directly isolates a key confound. Statistical analysis with Bayesian mixed-effects models lends rigor to small-effect interpretation, and the authors are transparent about the limitations of their synthetic benchmarks.

“Any above-chance hierarchical-syntax performance at L2 must therefore reflect cross-lingual transfer of the rule acquired during L1 training”
Yamaguchi et al. · Section 1, Figure 1
“We control the subset O′⊆O that retains shared token IDs across L1 and L2”
Yamaguchi et al. · Section 6
Main concerns

Effect sizes are small and decline steeply with typological distance, with Japanese L1 producing only a $\Delta\mathrm{acc}$ of +0.53 on CLAMS. The two evaluation benchmarks disagree: MultiBLiMP shows a negative transfer effect for German L1 and lacks credible effects for non-English L1s, which the authors acknowledge may reflect low statistical power or benchmark-specific artifacts. In addition, freezing all Transformer layers during L2 training is a strong, ecologically invalid design choice that prevents the model from adapting its syntactic representations to L2, potentially artifactually suppressing transfer and limiting relevance to standard multilingual training.

“Δacc on CLAMS decreases monotonically from English (+5.45) > German (+1.68) > Russian (+1.04) > Japanese (+0.53)”
Yamaguchi et al. · Section 5, Table 1
“the language gradient in §5 is observed on CLAMS, but on MultiBLiMP a credible effect appears only for English, with the sign of the German point estimate reversed”
Yamaguchi et al. · Limitations
Evidence and comparison

The evidence supports the headline claim only under contrived conditions: shared vocabulary and a frozen Transformer. The comparison to prior work is fair—Kallini et al. (2025) and Škrjanec et al. (2026) are appropriately cited and their vocabulary-overlap methodology is replicated faithfully. However, the discrepancy between synthetic CLAMS and naturalistic MultiBLiMP leaves it unclear whether the observed transfer reflects genuine hierarchical bias or surface statistical regularities tuned by the minimal-pair design. The authors honestly list this ambiguity as a limitation but do not resolve it.

“the gradient is an artefact of statistical regularities specific to synthetic data; (ii) residual biases in naturalistic data... mask the contribution of hierarchical generalization; or (iii) the smaller item counts of MultiBLiMP”
Yamaguchi et al. · Limitations
“cross-lingual effects arise primarily when embeddings are shared”
Reproducibility

Code and data are publicly released and hyperparameters are fully documented in Appendix C, which supports independent reproduction. However, only three random seeds are used per condition, and the authors note that this low replication limits statistical power, especially for the smaller MultiBLiMP benchmark. The Stanza-based corpus parsing pipeline and the exact token-ID offsetting procedure for vocabulary overlap are also detailed, though reproducing the exact filtered Wikipedia corpora requires careful adherence to the described heuristics.

“Code: https://github.com/shin0729/cpos; Data: https://huggingface.co/datasets/shin0729/cpos”
Yamaguchi et al. · Footnote 1 / Section 4.4
“together with three seeds, raise the minimal detectable effect beyond what our power supports”
Yamaguchi et al. · Limitations
Abstract

Language models (LMs) often exhibit successful cross-lingual transfer through continued (pre)training, still their underlying process remains unclear. One possibility is that LMs can leverage the evidence toward language-universal principles, namely, hierarchical structure, from a source language (L1) to a new language (L2), while many other non-linguistic explanations, e.g., improved initialization of position embeddings, can be potentially possible. In this study, to quantify the cross-linguistic transferability of linguistic evidence in cross-lingual LM training, we introduce a new experimental design, namely, a cross-lingual poverty-of-stimulus (CPOS) setting that ablates how LMs' hierarchical generalization in L2 can be led by structural evidence provided in L1. We contrast counterfactual L1 and L2 learning scenarios where the L2 corpus is ambiguous between linear and hierarchical grammar rules, while the amount of positive evidence for the hierarchical rule is controlled on the L1 side. Our experimental results show that LMs can partially, yet not perfectly, transfer L1 structural evidence to L2, yielding only a small but detectable hierarchical bias, while the strength of transfer depends on language pairs. We further ablate the conditions for successful transfer, motivated by recent reports on the substantial impact of vocabulary overlap. We indeed find that vocabulary overlap is crucial even for the cross-lingual transfer of hierarchical syntactic generalization. This suggests that this also explains the language-pair-dependent tendencies in the main experiments and suggests that the transfer of linguistic evidence in continued new-language learning is only conditionally achievable.

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