@article{sparsityiscombinatorialdepthquantifyingm, title = {Sparsity is Combinatorial Depth: Quantifying MoE Expressivity via Tropical Geometry}, author = {Ye Su and Huayi Tang and Zixuan Gong and Yong Liu}, year = {2026}, eprint = {2602.03204}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2602.03204}, }