arXiv — Machine Learning · · 3 min read

IRDS: Interpretable RLVR Data Selection via Verifier-Coupled Sparse Autoencoder Coverage

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Computer Science > Machine Learning

arXiv:2605.28247 (cs)
[Submitted on 27 May 2026]

Title:IRDS: Interpretable RLVR Data Selection via Verifier-Coupled Sparse Autoencoder Coverage

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Abstract:Reinforcement learning with verifiable rewards (RLVR) has become a key technique for en- hancing LLM reasoning, yet its data ineffi- ciency remains a major bottleneck. Existing methods address this problem only partially, each missing at least one of subset-level cov- erage, verifier signal use, or interpretability. To address this gap, we present IRDS (Inter- pretable RLVR Data Selection), which selects RLVR training instances on a sparse autoen- coder (SAE) cluster basis so the selection itself is auditable on recognizable problem motifs. To select instances the model both fails on and can still learn from, we introduce a verifier- coupled coverage objective on the SAE basis and solve it by greedy log-determinant max- imization. Experiments on three instruction- tuned models and six math reasoning bench- marks show that IRDS achieves the highest overall accuracy, exceeding the strongest base- line by +3.9/+4.0 pp on the two Qwen models and by +0.5 pp on Llama-3.1-8B, while run- ning an order of magnitude cheaper than the trajectory-based baseline.
Comments: 24 pages,3 figures,18 tables
Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI)
Cite as: arXiv:2605.28247 [cs.LG]
  (or arXiv:2605.28247v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2605.28247
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Yuhan Li [view email]
[v1] Wed, 27 May 2026 09:58:05 UTC (1,797 KB)
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