Training Dynamics Underlying Language Model Scaling Laws: Loss Deceleration and Zero-Sum Learning

Andrei Mircea, Supriyo Chakraborty, Nima Chitsazan, Irina Rish, Ekaterina Lobacheva


Abstract
This work aims to understand how scaling improves language models, specifically in terms of training dynamics. We find that language models undergo loss deceleration early in training—an abrupt slowdown in the rate of loss improvement, resulting in piecewise linear behaviour of the loss curve in log-log space. Scaling up the model mitigates this transition by (1) decreasing the loss at which deceleration occurs, and (2) improving the log-log rate of loss improvement after deceleration. We attribute loss deceleration to a type of degenerate training dynamics we term zero-sum learning (ZSL). In ZSL, per-example gradients become systematically opposed, leading to destructive interference in per-example changes in loss. As a result, improving loss on one subset of examples degrades it on another, bottlenecking overall progress. Loss deceleration and ZSL provide new insights into the training dynamics underlying language model scaling laws, and could potentially be targeted directly to improve language models independent of scale. We make our code and artefacts available at: https://github.com/mirandrom/zsl
Anthology ID:
2025.acl-long.1366
Volume:
Proceedings of the 63rd Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)
Month:
July
Year:
2025
Address:
Vienna, Austria
Editors:
Wanxiang Che, Joyce Nabende, Ekaterina Shutova, Mohammad Taher Pilehvar
Venue:
ACL
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
28154–28188
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URL:
https://preview.aclanthology.org/ingestion-acl-25/2025.acl-long.1366/
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Cite (ACL):
Andrei Mircea, Supriyo Chakraborty, Nima Chitsazan, Irina Rish, and Ekaterina Lobacheva. 2025. Training Dynamics Underlying Language Model Scaling Laws: Loss Deceleration and Zero-Sum Learning. In Proceedings of the 63rd Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 28154–28188, Vienna, Austria. Association for Computational Linguistics.
Cite (Informal):
Training Dynamics Underlying Language Model Scaling Laws: Loss Deceleration and Zero-Sum Learning (Mircea et al., ACL 2025)
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PDF:
https://preview.aclanthology.org/ingestion-acl-25/2025.acl-long.1366.pdf