扩张型马尔可夫算子链的收敛速率
概率论
2023-11-01 v3 最优化与控制
摘要
我们给出了一些条件，保证在局部紧 Hadamard 空间中非非扩张映射的迭代随机函数的分布局部收敛速率。我们的结果被应用于优化中的常见算法的随机实例、用于 X-FEL 成像的随机断层扫描，以及用于计算系统发育树模型空间中 Fréchet 均值的随机算法。
引用
@article{arxiv.2206.05213,
title = {Rates of Convergence for Chains of Expansive Markov Operators},
author = {Neal Hermer and D. Russell Luke and Anja Sturm},
journal= {arXiv preprint arXiv:2206.05213},
year = {2023}
}
备注
29 pages, 75 references. Accepted to Transactions of Mathematics and its Applications. This is a more narrowly focused version of arXiv:2007.06479. arXiv admin note: text overlap with arXiv:2205.15897