Small Reward Models via Backward Inference

Yike Wang, Faeze Brahman, Shangbin Feng, Teng Xiao, Hannaneh Hajishirzi, Yulia Tsvetkov


Abstract
Reward models (RMs) play a central role throughout the language model (LM) pipeline, particularly in non-verifiable domains. However, the dominant LLM-as-a-Judge paradigm relies on the strong reasoning capabilities of large models, while alternative approaches require reference responses or explicit rubrics, limiting flexibility and broader accessibility. In this work, we propose FLIP (FLipped Inference for Prompt reconstruction), a reference-free and rubric-free reward modeling approach that reformulates reward modeling through backward inference: inferring the instruction that would most plausibly produce a given response. The similarity between the inferred and the original instructions is then used as the reward signal. Evaluations across four domains using 13 small language models show that FLIP outperforms LLM-as-a-Judge baselines by an average of 79.6%. Moreover, FLIP substantially improves downstream performance in extrinsic evaluations under test-time scaling via parallel sampling and GRPO training. We further find that FLIP is particularly effective for longer outputs and robust to common forms of reward hacking. By explicitly exploiting the validation–generation gap, FLIP enables reliable reward modeling in downscaled regimes where judgment methods fail.
Anthology ID:
2026.emnlp-main.2629
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
59776–59811
Language:
URL:
https://aclanthology.org/2026.emnlp-main.2629/
DOI:
Bibkey:
Cite (ACL):
Yike Wang, Faeze Brahman, Shangbin Feng, Teng Xiao, Hannaneh Hajishirzi, and Yulia Tsvetkov. 2026. Small Reward Models via Backward Inference. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 59776–59811, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Small Reward Models via Backward Inference (Wang et al., EMNLP 2026)
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PDF:
https://aclanthology.org/2026.emnlp-main.2629.pdf