Challenge: Reasoning-capable large language models (LLMs) have driven a major shift in artificial intelligence . these models generate long CoTs, capturing reasoning behaviors such as self-reflection, self-correction, and hypothesis testing.
Approach: They propose a sample-efficient, two-stage training strategy to build reasoning LLMs . they "warm up" a model by distilling Long CoTs from a toy domain to acquire general reasoning skills .
Outcome: The proposed training strategy outperforms existing models on a range of tasks.

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Challenge: Reinforcement learning with verifiable rewards (RLVR) has recently advanced the reasoning capabilities of large language models (LLMs).
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Challenge: Recent large language models (LLMs) have demonstrated remarkable progress in reasoning, but their applications on knowledge-intensive domains have not been explored due to the scarcity of high-quality verifiable data.
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Challenge: Existing large reasoning models are limited by their closed nature and high API costs and safety issues.
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Challenge: Existing approaches to reinforcement learning with verifiable reward (RLVR) are limited by difficulty or lack of exploration.
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Challenge: Reinforcement learning with verifiable rewards (RLVR) has delivered impressive gains in mathematical and multimodal reasoning . however, the recipe introduces a significant risk of capability regression, where models forget foundational skills after prolonged training without employing regularization strategies.
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S2R: Teaching LLMs to Self-verify and Self-correct via Reinforcement Learning (2025.acl-long)

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Challenge: Existing approaches to incentivize LLMs’ deep thinking abilities require large-scale data or significant training efforts.
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Challenge: Reinforcement learning with verifiable rewards (RLVR) has been effective on structured tasks, but its reliance on simple, rule-based verifiers creates a bottleneck.
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Challenge: Existing methods to solve cross-domain task-oriented dialogues are brittle when cross- domain constraints are not directly grounded in surface text or require commonsense inference.
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Correct, Concise and Complete: Multi-stage Training For Adaptive Reasoning (2026.findings-acl)

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Challenge: Large language models (LLMs) increase test-time computation, often in the form of chain-of-thought (CoT) however, reasoning traces can become unnecessarily long, increasing computation costs without improving accuracy and sometimes even degrading performance.
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Better LLM Reasoning via Dual-Play (2026.findings-acl)

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Challenge: Large Language Models (LLMs) have made remarkable progress through Reinforcement Learning with Verifiable Rewards (RLVR) however, external supervision remains a bottleneck for tasks and domains for which supervised data are scarce or non-existent.
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