@article{ratiocoversofconvexsetsandoptimalmixture, title = {Ratio Covers of Convex Sets and Optimal Mixture Density Estimation}, author = {Spencer Compton and Gábor Lugosi and Jaouad Mourtada and Jian Qian and Nikita Zhivotovskiy}, year = {2026}, eprint = {2602.16142}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2602.16142}, }