1
Structured Approximations of Measures
探索测度近似的新结构化方法，为机器学习和概率论提供理论工具
arXiv:2310.09149v3 Announce Type: replace-cross Abstract: We study the approximation of probability measures in the Wasserstein-$p$ distance by struct…
2
On the conditional equivalence of phase retrieval algorithms
从数学底层揭示多种相位恢复算法在特定条件下等价，突破传统认知。
arXiv:2606.07257v1 Announce Type: cross Abstract: Phase retrieval - recovering a complex-valued field from intensity measurements - is typically solve…
3
Variational Optimality of F\"ollmer Processes in Generative Diffusions
从变分角度揭示Föllmer过程在生成扩散中的最优性，理论数学与AI生成的深度交叉
arXiv:2602.10989v2 Announce Type: replace-cross Abstract: We construct and analyze generative diffusions that transport a point mass to a prescribed t…