论文标题
宽敞的马尔可夫操作员链的收敛速率
Rates of Convergence for Chains of Expansive Markov Operators
论文作者
论文摘要
我们提供的条件可以保证迭代随机函数分布的局部收敛速率，这些迭代随机函数在局部紧凑的Hadamard空间中并不是非专用映射的情况。我们的结果应用于优化中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FréchetMene的随机算法，用于系统发育树的模型空间中。
We provide conditions that guarantee local rates of convergence in distribution of iterated random functions that are not nonexpansive mappings in locally compact Hadamard spaces. Our results are applied to stochastic instances of common algorithms in optimization, stochastic tomography for X-FEL imaging, and a stochastic algorithm for the computation of Fréchet means in model spaces for phylogenetic trees.
