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Paper · arXiv

Embedding Geometry Shapes LLM Routing: Tracing Failure Modes and Improving Generalization

With the growing number of LLMs available, selecting which one to use for a prompt has become a key question. A large part of the routing literature relies on semantically embedding prompts into a vector space and then applying a lightweight classifier to the embedded representations. These methods perform robustly in-distribution but they struggle to generalize to unseen tasks. By studying the geometry of semantic embeddings, we trace a clear failure mode: features that determine the neighbors of unseen prompts are an unreliable proxy for LLM selection. We therefore replace the semantic embedding with the following map: we run a partial forward pass of Qwen2.5-7B-Instruct on the prompt a...

AuthorsLeonardo Torti, Emanuele Rimoldi, Tomer Galanti et al.
Primary categorycs.AI
Published13 October 2026
Last updated at source13 October 2026
cs.AIcs.LGstat.ML
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