Hierarchical Wasserstein Merging for Multi-Domain Multi-Task Learning: From Specialists to a Generalist

Ming Cheng, Jiaying Gong, Hoda Eldardiry


Abstract
Multi-domain multi-task learning (MD-MTL) aims to build a single generalist model that performs well across heterogeneous domains and tasks. However, joint training often suffers from interference under distribution shifts. Existing model merging methods mostly operate on model parameters while overlooking the geometric structure of latent representation distributions across domains and tasks. To address these limitations, we propose Hierarchical Wasserstein Merging (HWM), a representation-level framework that models each domain-task specialist as a distribution of hidden representations on a shared support. HWM constructs task-level and global Wasserstein barycenters to capture within-task domain variation and cross-task structure, enabling either training-free specialist aggregation by Wasserstein-derived weights or training-based generalist learning through a hybrid Wasserstein alignment loss. Experiments on four NLP tasks across four domains per task show that HWM achieves superior effectiveness and generalization capability in MD-MTL settings.
Anthology ID:
2026.findings-emnlp.2305
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
49457–49476
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.2305/
DOI:
Bibkey:
Cite (ACL):
Ming Cheng, Jiaying Gong, and Hoda Eldardiry. 2026. Hierarchical Wasserstein Merging for Multi-Domain Multi-Task Learning: From Specialists to a Generalist. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 49457–49476, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Hierarchical Wasserstein Merging for Multi-Domain Multi-Task Learning: From Specialists to a Generalist (Cheng et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.2305.pdf