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Article

Adaptive Label Reweighting via Boundary-Aware Meta Learning for Long-Tail Legal Element Recognition

1
Faculty of Law, Macau University of Science and Technology, Macau 999078, China
2
UNSW Business School, University of New South Wales, Sydney, NSW 2033, Australia
*
Author to whom correspondence should be addressed.
Symmetry 2026, 18(4), 664; https://doi.org/10.3390/sym18040664
Submission received: 10 March 2026 / Revised: 2 April 2026 / Accepted: 14 April 2026 / Published: 16 April 2026

Abstract

Legal element recognition, which identifies discrete factual elements in Chinese court judgments to support judicial analysis and case retrieval, faces a severe long-tail challenge: head-to-tail label-frequency ratios exceed 100:1, and over 60% of sentences carry no label, starving rare elements of training signal. Static reweighting methods assign fixed weights prior to training and cannot respond to the model’s evolving confidence; sample-level meta-learning couples all co-occurring label gradients to a single scalar, preventing independent tail-label amplification. We propose BML-Trans, a boundary-aware meta-learning framework that addresses both limitations. A label-wise meta-weighting mechanism maintains per-label gradient weights updated via bilevel hypergradient descent, decoupling tail-label amplification from co-occurring head labels. A boundary-aware meta-set concentrates calibration signal on high-uncertainty, tail-triggering sentences rather than on easy negatives, and a lightweight Multi-Scale Adapter sharpens the warm-up probability estimates on which boundary selection depends. Concretely, BML-Trans achieves an average Avg-F1 of 82.5% on CAIL2019 across the labor, divorce, and loan domains, outperforming the strongest baseline by 1.2 percentage points overall and by up to 5.7 percentage points on tail-label Macro-F1, at only 14% additional training cost. Ablation confirms a cascade dependency among the three components, establishing that the gains are structural rather than incidental to threshold selection or initialization.
Keywords: legal element recognition; long-tail classification; meta-learning; label reweighting; multi-label classification; pre-trained language models legal element recognition; long-tail classification; meta-learning; label reweighting; multi-label classification; pre-trained language models

Share and Cite

MDPI and ACS Style

Han, K.; Han, C.; Zhao, P. Adaptive Label Reweighting via Boundary-Aware Meta Learning for Long-Tail Legal Element Recognition. Symmetry 2026, 18, 664. https://doi.org/10.3390/sym18040664

AMA Style

Han K, Han C, Zhao P. Adaptive Label Reweighting via Boundary-Aware Meta Learning for Long-Tail Legal Element Recognition. Symmetry. 2026; 18(4):664. https://doi.org/10.3390/sym18040664

Chicago/Turabian Style

Han, Kun, Chengcheng Han, and Pengcheng Zhao. 2026. "Adaptive Label Reweighting via Boundary-Aware Meta Learning for Long-Tail Legal Element Recognition" Symmetry 18, no. 4: 664. https://doi.org/10.3390/sym18040664

APA Style

Han, K., Han, C., & Zhao, P. (2026). Adaptive Label Reweighting via Boundary-Aware Meta Learning for Long-Tail Legal Element Recognition. Symmetry, 18(4), 664. https://doi.org/10.3390/sym18040664

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