Training Sep 2025 · #27 most cited · 161 citations

A Survey of Reinforcement Learning for Large Reasoning Models

Kaiyan Zhang et al.

arXiv:2509.08827

In short

A survey of reinforcement learning for turning LLMs into reasoning models, especially since DeepSeek-R1. It covers reward design, algorithms, training data and infrastructure, and the open problems in scaling RL further.

Why it matters

RL is now how reasoning is trained into models; this is the field’s reading list.

Read first

The 3 Field Guide ideas this paper leans on.

Starting from scratch? The full route 21 ideas · basics first
  1. Machine Learning ✓ understood

    Building systems that learn patterns from data instead of following hand-written rules, getting better at a task as they see more examples.

  2. Reinforcement Learning · read first ✓ understood

    Learning through interaction with an environment, receiving rewards or penalties to learn optimal behavior policies.

  3. Natural Language Processing ✓ understood

    The field of AI that lets computers read, interpret, translate and generate human language, from spam filters and search to chatbots.

  4. Token ✓ understood

    The basic unit of text that a language model processes, typically representing a word, subword, or character. Tokens are the fundamental building blocks for LLM input and output.

  5. Tokenization ✓ understood

    Splitting text into tokens, usually subword pieces, and mapping each to an integer ID so a language model can process it.

  6. Language Modeling ✓ understood

    Learning probability distributions over sequences of words to predict what comes next.

  7. Dataset ✓ understood

    A collection of data examples used for training, validating, or testing machine learning models.

  8. Training ✓ understood

    The process of fitting a model to data by repeatedly measuring how wrong its outputs are and adjusting its parameters to reduce that error.

  9. Unsupervised Learning ✓ understood

    Learning from unlabeled data to discover hidden patterns, structures, or relationships without explicit target outputs.

  10. Self-Supervised Learning ✓ understood

    Learning representations from unlabeled data by creating supervised tasks from the data itself (masked prediction, contrastive learning).

  11. Pre-training ✓ understood

    Training a model on a large dataset (often self-supervised) before fine-tuning on specific tasks, enabling transfer learning.

  12. Feature ✓ understood

    A single measurable property of an example, such as a house's floor area or how many links an email contains, used as an input to a model.

  13. Neural Network ✓ understood

    A computational model inspired by biological neural networks, consisting of interconnected nodes (neurons) organized in layers that process information through weighted connections.

  14. Deep Learning ✓ understood

    A subset of machine learning that uses neural networks with multiple layers (deep neural networks) to learn hierarchical representations of data.

  15. Representation Learning ✓ understood

    Learning useful features or representations of data automatically, rather than hand-crafting them.

  16. Embedding ✓ understood

    A list of numbers (a vector) that represents a word, sentence, image or other item, learned so that similar items end up close together.

  17. Attention Mechanism ✓ understood

    A technique that lets a neural network weigh every part of its input when producing each output, focusing on the parts most relevant at that step.

  18. Transformer ✓ understood

    A neural network architecture, introduced in 2017, built from stacked self-attention and feed-forward layers; the basis of nearly every modern large language model.

  19. Large Language Model · read first ✓ understood

    A neural network, almost always a transformer, trained on vast amounts of text to predict the next token, which lets it write, answer, summarize and follow instructions.

  20. Prompt Engineering ✓ understood

    The practice of designing and optimizing input prompts to get desired outputs from language models. A crucial skill for effectively using LLMs.

  21. Chain-of-Thought · read first ✓ understood

    A prompting technique where the model explains its reasoning step-by-step before giving a final answer, improving complex reasoning.

In the frontier

Rank
#27 of 100
Citations
161
as of Aug 9, 2026
Published
Sep 2025

Topics: RL for reasoning , Reasoning methods

Selection: 1kpapers.com by Together AI, most-cited as of Aug 9, 2026

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