TL;DR
EvoCoT is a self-evolving curriculum learning framework that enhances large language models' reasoning by controlling exploration through self-generated, verified chain-of-thought trajectories, enabling learning from hard problems with sparse rewards.
Contribution
It introduces a novel two-stage CoT optimization framework that allows LLMs to learn from difficult problems without external supervision, improving reasoning capabilities.
Findings
EvoCoT enables LLMs to solve previously unsolved problems.
It improves reasoning without external CoT supervision.
The framework is compatible with various RL fine-tuning methods.
Abstract
Reinforcement learning with verifiable reward (RLVR) has become a promising paradigm for post-training large language models (LLMs) to improve their reasoning capability. However, when the rollout accuracy is low on hard problems, the reward becomes sparse, limiting learning efficiency and causing exploration bottlenecks. Existing approaches either rely on teacher models for distillation or filter out difficult problems, which limits scalability or restricts reasoning improvement through exploration. We propose EvoCoT, a self-evolving curriculum learning framework based on two-stage chain-of-thought (CoT) reasoning optimization. EvoCoT constrains the exploration space by self-generating and verifying CoT trajectories, then gradually shortens CoT steps to expand the space in a controlled way. The framework enables LLMs to stably learn from initially unsolved hard problems under sparse…
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