On the Generalization Gap in Self-Evolving Language Model Reasoning

Fuente: arXiv
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Hauptverfasser: Qi, Zhenting, Baby, Susanna Maria, Baby, Stefanie Anna, Yuan, Kan, Tomkins, Andrew, Vu, Tu, Juan, Da-Cheng, Rashtchian, Cyrus
Format: Preprint
Veröffentlicht: 2026
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author Qi, Zhenting
Baby, Susanna Maria
Baby, Stefanie Anna
Yuan, Kan
Tomkins, Andrew
Vu, Tu
Juan, Da-Cheng
Rashtchian, Cyrus
author_facet Qi, Zhenting
Baby, Susanna Maria
Baby, Stefanie Anna
Yuan, Kan
Tomkins, Andrew
Vu, Tu
Juan, Da-Cheng
Rashtchian, Cyrus
contents Recent work suggests that large language models (LLMs) can improve through self-evolution (SE), using supervision signals generated by the model itself. In this work, we ask: under a strict closed-loop setup, where the self-evolution algorithm has access only to an unlabeled prompt set and a base model, how close can internally generated supervision come to oracle-supervised training? We analyze four representative strategies in a unified offline self-evolution framework: single-round verification, multi-turn revision with feedback, iterative training, and curriculum learning. Our primary experiments use Knights and Knaves (KK) logical reasoning tasks, which provide deterministic solutions, controlled difficulty levels, and a clean testbed for easy-to-hard generalization. We first show that self-evolution consistently improves over the base model, but plateaus after excessive training compute is invested, and eventually still leaves a non-trivial gap to oracle supervision. We find that multi-turn critic-revision with large models can reach strong self-evolution performance, with Gemma 12B nearly matching oracle-supervised training. Beyond Knights and Knaves, we also evaluate self-evolution on real-world reasoning benchmarks, where gains are also modest. Overall, our results characterize when closed-loop self-evolution can help and show how internally generated supervision remains insufficient under this minimal formulation.
format Preprint
id arxiv_https___arxiv_org_abs_2606_01075
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the Generalization Gap in Self-Evolving Language Model Reasoning
Qi, Zhenting
Baby, Susanna Maria
Baby, Stefanie Anna
Yuan, Kan
Tomkins, Andrew
Vu, Tu
Juan, Da-Cheng
Rashtchian, Cyrus
Computation and Language
Recent work suggests that large language models (LLMs) can improve through self-evolution (SE), using supervision signals generated by the model itself. In this work, we ask: under a strict closed-loop setup, where the self-evolution algorithm has access only to an unlabeled prompt set and a base model, how close can internally generated supervision come to oracle-supervised training? We analyze four representative strategies in a unified offline self-evolution framework: single-round verification, multi-turn revision with feedback, iterative training, and curriculum learning. Our primary experiments use Knights and Knaves (KK) logical reasoning tasks, which provide deterministic solutions, controlled difficulty levels, and a clean testbed for easy-to-hard generalization. We first show that self-evolution consistently improves over the base model, but plateaus after excessive training compute is invested, and eventually still leaves a non-trivial gap to oracle supervision. We find that multi-turn critic-revision with large models can reach strong self-evolution performance, with Gemma 12B nearly matching oracle-supervised training. Beyond Knights and Knaves, we also evaluate self-evolution on real-world reasoning benchmarks, where gains are also modest. Overall, our results characterize when closed-loop self-evolution can help and show how internally generated supervision remains insufficient under this minimal formulation.
title On the Generalization Gap in Self-Evolving Language Model Reasoning
topic Computation and Language
url https://arxiv.org/abs/2606.01075