AIJun 1, 2025

IRT-Router: Effective and Interpretable Multi-LLM Routing via Item Response Theory

arXiv:2506.01048v226 citationsh-index: 13Has CodeACL
Originality Incremental advance
AI Analysis

This addresses the cost-performance trade-off in multi-LLM routing for real-world applications, though it is incremental as it builds on existing routing and Item Response Theory concepts.

The paper tackles the problem of selecting the optimal large language model (LLM) for user queries by balancing performance and cost, proposing IRT-Router, which outperforms most baseline methods in effectiveness and interpretability across 20 LLMs and 12 datasets.

Large language models (LLMs) have demonstrated exceptional performance across a wide range of natural language tasks. However, selecting the optimal LLM to respond to a user query often necessitates a delicate balance between performance and cost. While powerful models deliver better results, they come at a high cost, whereas smaller models are more cost-effective but less capable. To address this trade-off, we propose IRT-Router, a multi-LLM routing framework that efficiently routes user queries to the most suitable LLM. Inspired by Item Response Theory (IRT), a psychological measurement methodology, IRT-Router explicitly models the relationship between LLM capabilities and user query attributes. This not only enables accurate prediction of response performance but also provides interpretable insights, such as LLM abilities and query difficulty. Additionally, we design an online query warm-up technique based on semantic similarity, further enhancing the online generalization capability of IRT-Router. Extensive experiments on 20 LLMs and 12 datasets demonstrate that IRT-Router outperforms most baseline methods in terms of effectiveness and interpretability. Its superior performance in cold-start scenarios further confirms the reliability and practicality of IRT-Router in real-world applications. Code is available at https://github.com/Mercidaiha/IRT-Router.

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