The Geometry of Agent Skills: Non-Commutative Composition in Representation Space

Junda Wu, Yifan Wang, Zihan Huang, Xunyi Jiang, Sheldon Yu, Rohan Surana, Lina Yao, Julian McAuley, Tong Yu
September, 2026
OpenReview
Type
Conference paper
Publication
Accepted at the Conference on Neural Information Processing Systems (NeurIPS), 2026

A study of the geometry of agent skills and how their composition depends on order in representation space.

Large Language Models LLM Agents Representation Learning
Xunyi Jiang
Xunyi Jiang
PhD in CS @ 🇺🇸NYU
MS in CS @ 🇺🇸UCSD
BS in DS @ 🇨🇳SUSTech

I am interested in LLM Evaluation, Generative Engine Optimization, Human-AI collaboration, AI for creativity🎻.