🤖 AI Summary
Large language models (LLMs) face limited unsupervised improvement in reasoning due to poor out-of-distribution (OOD) generalization and reliance on manual annotations or supervision from strong models.
Method: This paper proposes an “abstract → concrete” hierarchical self-synthesis paradigm that fully leverages the LLM’s intrinsic reasoning capabilities. It employs a three-stage framework—reasoning guide concretization, task structure generation, and path instantiation—to dynamically transform generic reasoning principles into high-quality, task-adapted reasoning traces, without human examples or external supervision.
Contribution/Results: The core innovation lies in decoupling abstract guidance from concrete execution, substantially enhancing OOD generalization. Evaluated across six cross-domain reasoning tasks, our method achieves an average +6.1% improvement, while baselines degrade by −4.6% on average. Results are robust and reproducible across diverse LLMs and architectural variants.
📝 Abstract
Post-training Large Language Models (LLMs) with explicit reasoning trajectories can enhance their reasoning abilities. However, acquiring such high-quality trajectory data typically demands meticulous supervision from humans or superior models, which can be either expensive or license-constrained. In this paper, we explore how far an LLM can improve its reasoning by self-synthesizing reasoning paths as training data without any additional supervision. Existing self-synthesizing methods, such as STaR, suffer from poor generalization to out-of-domain (OOD) reasoning tasks. We hypothesize it is due to that their self-synthesized reasoning paths are too task-specific, lacking general task-agnostic reasoning guidance. To address this, we propose Reasoning Generalist via Self-Improvement (ReGenesis), a method to self-synthesize reasoning paths as post-training data by progressing from abstract to concrete. More specifically, ReGenesis self-synthesizes reasoning paths by converting general reasoning guidelines into task-specific ones, generating reasoning structures, and subsequently transforming these structures into reasoning paths, without the need for human-designed task-specific examples used in existing methods. We show that ReGenesis achieves superior performance on all in-domain and OOD settings tested compared to existing methods. For six OOD tasks specifically, while previous methods exhibited an average performance decrease of approximately 4.6% after post training, ReGenesis delivers around 6.1% performance improvement. We also conduct in-depth analysis of our framework and show ReGenesis is effective across various LLMs and design choices.