SIGNALAI·Jun 3, 2026, 4:00 AMSignal75Medium term

Learning to Solve, Forgetting to Retain: Correct-Set Turnover in RLVR

Source: arXiv cs.LG

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Learning to Solve, Forgetting to Retain: Correct-Set Turnover in RLVR

arXiv:2606.03087v1 Announce Type: new Abstract: Reinforcement learning with verifiable rewards (RLVR) improves the ability of large language model, yet headline accuracy gains often conceal a hidden cost: previously solved problems quietly become unsolvable as training proceeds. We frame this phenomenon as \emph{correct-set turnover}, representing the coupled dynamics of solution acquisition and regression over the mastered set. Under this view, retention becomes an explicit optimization target alongside acquisition. We analytically and empirically establish the \emph{repair-window principle}:

Why this matters
Why now

The increasing complexity and scale of AI models, particularly large language models (LLMs) and reinforcement learning, are revealing novel and often counterintuitive challenges in their training and long-term stability.

Why it’s important

Understanding and addressing 'correct-set turnover' is crucial for developing robust, reliable, and continuously improving AI systems, preventing performance degradation over time, and ensuring deployed AI systems maintain their capabilities.

What changes

This research shifts the focus from merely achieving high accuracy to explicitly considering the optimization target of retention alongside acquisition in AI training, which can lead to more stable and trustworthy AI models.

Winners
  • · AI researchers focused on learning stability
  • · Developers of mission-critical AI systems
  • · Companies investing in long-term AI maintenance
Losers
  • · AI developers prioritizing only peak performance
  • · Organizations with production AI systems exhibiting silent performance decay
Second-order effects
Direct

AI training methodologies will incorporate metrics and techniques to explicitly counter 'correct-set turnover' and prevent 'forgetting'.

Second

The development of more resilient AI systems will accelerate, leading to higher confidence in their application across various industries.

Third

Improved AI retention mechanisms could reduce the compute and energy costs associated with retraining models for lost knowledge, potentially easing pressure on the energy bottleneck.

Editorial confidence: 90 / 100 · Structural impact: 60 / 100
Original report

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Read at arXiv cs.LG
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