Preprint
Knowledge Graphs

Linearrag: Linear graph retrieval augmented generation on large-scale corpora

January 1, 2026

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2026

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Abstract

… Retrieval-Augmented Generation (RAG) is widely used to mitigate hallucinations of Large … and propose Linear Graph-based Retrieval-Augmented Generation (LinearRAG), an efficient …

Analysis

Why This Paper Matters

Retrieval-Augmented Generation (RAG) has become a standard technique for grounding large language models (LLMs) in external knowledge, thereby reducing hallucinations. However, as corpora grow to web scale, traditional RAG methods face significant efficiency bottlenecks, particularly when retrieval involves complex graph structures. Graph-based RAG approaches, while powerful for capturing relationships between entities, often suffer from super-linear complexity, making them impractical for large-scale deployment. LinearRAG addresses this gap by proposing a linear graph-based retrieval method that aims to maintain the benefits of graph-based retrieval while achieving linear scalability. This is crucial for real-world applications where response time and computational cost are critical.

The paper's focus on large-scale corpora aligns with the growing demand for LLM systems that can reason over vast knowledge bases, such as enterprise documents, scientific literature, or web-scale data. By making graph-based RAG linear, LinearRAG could enable more efficient and scalable knowledge retrieval, potentially broadening the adoption of RAG in latency-sensitive and resource-constrained environments.

Technical Contributions

The primary contribution is the LinearRAG framework, which introduces a linear graph structure for retrieval-augmented generation. Key innovations likely include:

  • A linear graph construction algorithm that scales linearly with corpus size, avoiding the quadratic complexity of traditional graph-based methods.
  • An efficient retrieval mechanism that leverages the linear graph to quickly identify relevant passages or entities.
  • Integration with LLMs to generate responses grounded in the retrieved knowledge, with a focus on maintaining generation quality.

While the abstract does not detail the exact graph representation or retrieval algorithm, the emphasis on linearity suggests a departure from dense graph traversal or pairwise similarity computations. This could involve techniques such as linearized knowledge graphs, sparse attention, or hierarchical indexing.

Results

The abstract does not provide any quantitative results, benchmarks, or comparisons with existing methods. Therefore, it is not possible to assess the empirical effectiveness of LinearRAG at this stage. The paper likely includes experiments on large-scale datasets, but without access to the full text, we cannot report specific metrics such as retrieval accuracy, latency, or generation quality. This absence of reported results in the abstract is a limitation for evaluating the paper's claims.

Significance

If LinearRAG delivers on its promise of linear scalability without sacrificing retrieval quality, it could have a substantial impact on the field of RAG and knowledge-intensive NLP. It would enable graph-based RAG to be applied to massive corpora, such as the entire web or large enterprise knowledge bases, where current methods are too slow or expensive. This could lead to more accurate and reliable LLM applications in domains like customer support, legal research, and scientific discovery. Furthermore, the linear approach might inspire new research into efficient graph algorithms for retrieval and reasoning. However, the lack of reported results in the abstract means that the practical significance remains to be validated by the community.