SIGNALAI·Jun 10, 2026, 4:00 AMSignal75Medium term

TD-Grokking: Learning from Zero-Reward Problems by Training-Time Decomposition

Source: arXiv cs.LG

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TD-Grokking: Learning from Zero-Reward Problems by Training-Time Decomposition

arXiv:2606.09883v1 Announce Type: new Abstract: Large language models (LLMs) have made remarkable progress in reasoning tasks, largely driven by post-training paradigms, especially reinforcement learning with verifiable rewards (RLVR). However, a critical bottleneck persists: RLVR fails on highly challenging zero-reward problems, where all sampled reasoning trajectories yield uniformly failed outcomes, providing no optimization signal to drive model improvement. Prior efforts to address this limitation, such as dense process supervision, partial reward assignment, or prefix-guided exploration,

Why this matters
Why now

The rapid advancement of LLMs has exposed the limitations of current training paradigms, especially in complex reasoning where immediate rewards are scarce, necessitating new approaches to unlock further progress.

Why it’s important

Overcoming zero-reward problems in LLMs is crucial for developing more robust and autonomously reasoning AI, which will expand their capabilities beyond current limitations into more sophisticated and open-ended tasks.

What changes

This research introduces a method to enable LLMs to learn from problems where traditional reward systems fail, potentially accelerating the development of highly capable AI agents and complex autonomous systems.

Winners
  • · AI research labs
  • · Developers of autonomous AI agents
  • · Hardware manufacturers for AI (long-term)
Losers
  • · Companies reliant on simple heuristics for AI training
  • · Current reinforcement learning paradigms without adaptation
Second-order effects
Direct

Improved reasoning capabilities in large language models leading to more coherent and effective AI behaviors.

Second

Accelerated development of sophisticated AI agents capable of tackling complex, multi-step problems with delayed or non-existent direct reward signals.

Third

Broader deployment of AI in critical sectors requiring advanced autonomous problem-solving, potentially leading to new economic efficiencies and disruptions.

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

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Read at arXiv cs.LG
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