Rethinking Easy-to-Hard: Limits of Curriculum Learning in Post-Training for Deductive Reasoning
- URL: http://arxiv.org/abs/2603.27226v1
- Date: Sat, 28 Mar 2026 10:43:36 GMT
- Title: Rethinking Easy-to-Hard: Limits of Curriculum Learning in Post-Training for Deductive Reasoning
- Abstract summary: We present a systematic empirical study of curriculum-based post-training of large language models.<n>We find no robust advantage in difficulty-based sequencing over standard random sampling in either accuracy or response length.<n>Our study suggests that, in the context of deductive reasoning, the specific ordering of training examples plays a negligible role in achieving compositional generalization.
- Score: 61.81622271655058
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Curriculum learning (CL), motivated by the intuition that learning in increasing order of difficulty should ease generalization, is commonly adopted both in pre-training and post-training of large language models (LLMs). The intuition of CL is particularly compelling for compositional reasoning, where complex problems are built from elementary inference rules; however, the actual impact of CL on such tasks remains largely underexplored. We present a systematic empirical study of CL for post-training of LLMs, using synthetic arithmetic and logical benchmarks where difficulty is characterized by reasoning complexity rather than surface-level proxies. Surprisingly, across multiple model families and curriculum schedules, we find no robust advantage in difficulty-based sequencing over standard random sampling in either accuracy or response length. These findings persist across both supervised fine-tuning (SFT) and reinforcement learning (RL) methods. Our study suggests that, in the context of deductive reasoning, the specific ordering of training examples plays a negligible role in achieving compositional generalization, challenging the practical utility of curriculum-based post-training.
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