Stratified Topographic Similarity

Jean-Baptiste Sevestre, Matthieu Geist, Emmanuel Dupoux


Abstract
Topographic Similarity (TopSim) is the most widely used metric for compositionality in emergent communication research. However, when evaluated on a class of languages where compositional structure is fully known (simple natural-language word concatenations), TopSim, along with other well-known metrics, under-reports compositionality. We investigate and trace TopSim’s failure to a distributional imbalance in pairwise object distances that grows with the input space size, and propose stratified-TopSim, a minimal fix that remains stable across settings and reliably evaluates languages of varying compositional structure, on both controlled benchmarks and emergent languages.
Anthology ID:
2026.findings-emnlp.2006
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:
42735–42744
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.2006/
DOI:
Bibkey:
Cite (ACL):
Jean-Baptiste Sevestre, Matthieu Geist, and Emmanuel Dupoux. 2026. Stratified Topographic Similarity. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 42735–42744, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Stratified Topographic Similarity (Sevestre et al., Findings 2026)
Copy Citation:
PDF:
https://aclanthology.org/2026.findings-emnlp.2006.pdf