Incentivizing Self-Learning in Large Language Models via Reinforcement Learning

Lingkai Kong, Yuzhe Gu, Haiteng Zhao, Zijian Wu, Youqing Fang, Zhouqi Hua, Yanan Sun, Kai Chen and 1 others

Shanghai AI Laboratory · Shanghai Jiao Tong University · The Chinese University of Hong Kong · University of Science and Technology of China · Fudan University

Published October 29, 2026 · on the feed November 12, 2026 · ▲ 28 · arXiv 2610.39671

LLM training & RLRetrieval, memory & search No code arXiv ↗Hugging Face ↗

The abstract

Large language models (LLMs) draw on parametric knowledge and retrieval-augmented generation (RAG) to solve knowledge-intensive tasks. Yet problem solving in unfamiliar domains calls for tightly coupled knowledge acquisition and reasoning, beyond factual retrieval and aggregation or learning solely from a preassembled context. We study self-learning -- autonomously retrieving, studying, and applying knowledge from long-form reference materials on the fly. To investigate this capability, we formulate a textbook-based mathematical problem-solving task. LLMs must navigate textbook exposition, learn and apply relevant principles, and construct proofs for exercises, with reference solutions withheld. We introduce a BookNavigator interface to support this human-inspired study process and incentivize self-learning through reinforcement learning (RL) with fine-grained rewards. Experiments show that our method improves performance across in-domain and out-of-domain textbooks and subjects, raising Intern-S2-Preview-35B's overall proof accuracy from 51.5% to 79.5% and outperforming RL-trained textbook-free and fixed-retrieval baselines. These gains extend to complex long-context benchmarks involving different task types, with improvements over the base model of 1.7 and 2.3 percentage points on BrowseComp-Plus and CL-bench, respectively. Together, these findings suggest that RL can foster a domain-agnostic self-learning strategy, highlighting the potential of self-learning from long-form corpora to strengthen broader problem-solving capabilities on complex, long-context tasks.

The Brief

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Transcript

Incentivizing Self-Learning in Large Language Models via Reinforcement Learning. By Lingkai Kong and eight others, from the Shanghai Artificial Intelligence Laboratory, Shanghai Jiao Tong University, and three other institutions. Published on the twenty-ninth of October.

Language models tackle knowledge-intensive tasks with two resources: what is stored in their parameters, and what retrieval-augmented generation fetches for them. Neither quite fits problem solving in an unfamiliar domain. There, acquiring knowledge and reasoning with it have to be tightly coupled. Looking up facts and aggregating them is not enough, and neither is learning only from a context someone assembled in advance. A student meeting a new subject does not simply look things up. They read, work out what matters, and then use it. That combined skill is what current setups leave out.

The paper calls the missing capability self-learning: autonomously retrieving, studying and applying knowledge from long-form reference material, on the fly. To study it, the authors pose a task built around textbooks. A model faces mathematical exercises and has to work through the textbook's exposition, learn the relevant principles, apply them, and construct proofs. The reference solutions are withheld, so the book is the only teacher. Whatever the model needs to know, it has to find in the chapters and then turn into an argument of its own.

Two pieces make this trainable. A BookNavigator interface supports the study process, modelled on how a person would work through a book. Reinforcement learning with fine-grained rewards then provides the incentive for the model to learn this way. The pairing is the point: an interface for moving through a book the way a human student would, and a training signal that makes studying with it pay off.

The method improves performance on textbooks and subjects both inside and outside the training domain. For Intern-S2-Preview-35B, overall proof accuracy rises from fifty-one point five percent to seventy-nine point five percent. It also beats baselines trained with reinforcement learning that either have no textbook or use fixed retrieval.

The gains carry over to complex long-context benchmarks with different task types. Over the base model, the improvement is one point seven percentage points on BrowseComp-Plus, and two point three points on CL-bench.

The authors read these results as a sign that reinforcement learning can foster a self-learning strategy that is not tied to one domain. A model rewarded for studying a mathematics book picks up a habit that also helps on long-context benchmarks of quite different kinds. The broader suggestion is that teaching a model to study from long-form corpora may strengthen its problem solving on complex, long-context tasks in general, not just the ones it was trained on.

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Chapter 1 🧩 · The problem

A new subject, a textbook, and no answer key. Where would you start?

You want a language model to solve proof exercises in a field it barely knows. It has a textbook, but no worked solution.

The road ahead

  1. 1 · The problem ~6 min A model facing proofs in an unfamiliar field needs knowledge it lacks, and fetching facts in advance cannot keep up with how a proof unfolds.
  2. 2 · What came before ~3 min
  3. 3 · The key idea ~9 min The model studies a textbook while it reasons, choosing what to read, and training rewards push it to keep reading and to read usefully.
  4. 4 · Choose your own research ~3 min
  5. 5 · Build the method ~8 min Build exercise-textbook pairs without solutions, let the model read through BookNavigator while it reasons, judge its proof, and train with fine-grained rewards.
  6. 6 · The experiment ~6 min You’ll guess: Intern-S2-Preview-35B started at 51.5% overall proof accuracy. What accuracy did it reach after the textbook study training?
  7. 7 · The viva ~5 min Three questions from the examiners, answered in your own words. Win it for the paper’s trophy.
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