mlsanityData to 14 Oct 2026

RLVP: Penalize the Path, Reward the Outcome

arXiv 2607.07435 ↗First posted 8 Jul 2026cs.LG cs.AIcited by 2

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Abstract (arXiv)

Agents acting on our behalf in the real world (e.g. placing phone calls) must learn online from costly, often irreversible interactions rather than cheap simulator steps. Two things follow. First, deployability depends on the path, not only the outcome. An agent must respect outcome-neutral constraints such as not repeatedly calling an unresponsive user, respecting business hours, or completing required authentication constraints that outcome-based rewards cannot express, since violating them frequently improves apparent success. Second, because each interaction is expensive, the agent must learn efficiently from very few examples. Reinforcement learning from verifiable rewards (RLVR) is blind to both challenges: it optimizes solely on the outcome and wastes expensive rollouts on all-fail groups where group-relative advantage collapses to zero. Attempts to densify supervision by rewarding progress target the hard-to-verify direction. In contrast, real agentic environments can cheaply detect bad moves. Since group-relative advantage is equivalent to within-group variance, a dense signal helps only when it supplies variance the outcome lacks. A verifiable penalty on the path meets this condition reliably, while a progress potential helps only where partial progress is reachable. The resulting recipe "penalize the path, reward the outcome" achieves high task success with near-zero violations, where outcome-only training violates constraints on nearly every episode. We provide four design rules for effective penalties, including avoidance of the inaction trap that arises when a penalty is used in isolation.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 42 of its 52 references that are in the map. First posted on arXiv 8 Jul 2026.

Builds on

42 of 52 references.

References · 42

  1. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
  2. 2025Qwen3 Technical Reportcited by 8,820
  3. 2023Judging LLM-as-a-Judge with MT-Bench and Chatbot Arenacited by 8,626
  4. 2023Let's Verify Step by Stepcited by 3,789
  5. 2023SWE-bench: Can Language Models Resolve Real-World GitHub Issues?cited by 3,373
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30 more
  1. 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotationscited by 928
  2. 2025Group Sequence Policy Optimizationcited by 835
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Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 2.

2 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026Verifier Errors in RLVR: Reward Hacking, Limits of Feedback, and Selective Control
  2. 2026Rate or Fate? RLV^varepsilonR: Reinforcement Learning with Verifiable Noisy Rewards
  3. 2026Delay, Plateau, or Collapse: Evaluating the Impact of Systematic Verification Error on RLVR
  4. 2025Position: The Hidden Costs and Measurement Gaps of Reinforcement Learning with Verifiable Rewards
  5. 2025Reinforcement Learning with Verifiable yet Noisy Rewards under Imperfect Verifiers
  6. 2025The Reasoning Boundary Paradox: How Reinforcement Learning Constrains Language Models
  7. 2026Reinforcement Learning with Verifiable Rewards for Small Search Agents
  8. 2026On the Implicit Reward Overfitting and the Low-rank Dynamics in RLVR