Risk-Averse Failure Modes of Jensen-Shannon Distance in RLVR Distributional Alignment

Sebastian Loftus, Xinpeng Wang, Marie-Catherine De Marneffe, Barbara Plank


Abstract
Jensen-Shannon Distance (JSD) appears well-suited as a reward signal for aligning model predictions with human annotations, particularly for subjective tasks where label variation reflects legitimate disagreement. We demonstrate that JSD’s mathematical properties create exploitable reward landscapes in reinforcement learning. Via a study on preference distribution prediction, we show that two JSD-based reward formulations both fail to achieve alignment and instead lead to models converging at conservative, near-uniform predictions that maximize expected reward without matching human behavior. We trace this failure to JSD’s non-uniform sensitivity: it penalizes errors near balanced distributions less than errors near extreme distributions, creating risk asymmetry that incentivizes safe predictions over accurate ones. Our findings reveal fundamental challenges in using bounded symmetric divergence metrics as scalar rewards for distributional alignment.
Anthology ID:
2026.insights-1.4
Volume:
Proceedings of the Seventh Workshop on Insights from Negative Results in NLP
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
João Sedoc, Raphael Shu, Aleksandr Drozd, Arjun Akula, Anna Rogers, Salvatore Giorgi, Adrian Benton
Venues:
insights | WS
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Publisher:
Association for Computational Linguistics
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Pages:
33–42
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URL:
https://aclanthology.org/2026.insights-1.4/
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Cite (ACL):
Sebastian Loftus, Xinpeng Wang, Marie-Catherine De Marneffe, and Barbara Plank. 2026. Risk-Averse Failure Modes of Jensen-Shannon Distance in RLVR Distributional Alignment. In Proceedings of the Seventh Workshop on Insights from Negative Results in NLP, pages 33–42, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Risk-Averse Failure Modes of Jensen-Shannon Distance in RLVR Distributional Alignment (Loftus et al., insights 2026)
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https://aclanthology.org/2026.insights-1.4.pdf
Supplementarymaterial:
 2026.insights-1.4.SupplementaryMaterial.txt