论文标题
在光谱和操作员规范下擦除的概率建模的最佳框架
Probabilistic Modelled Optimal Frame for Erasures under Spectral and Operator Norm
论文作者
论文摘要
重建时缺少某些数据时，数据传输过程中发生了错误。在框架理论中，找到最佳的双重框架或双对，可以最大程度地减少擦除重建误差，这是一个根深蒂固的问题。本文背后的主要动机是表征光谱和操作员规范下的最佳双重双重。在这里，我们提供了几种等效条件，这些条件是给定框架的最佳双重框架。我们还继续表征达到最佳值的双对。
Error occurs in data transmission process when some data are missing at the time of reconstruction. Finding the best dual frame or a dual pair that minimizes the reconstruction error when erasure occurs,is a deep-rooted problem in frame theory. The main motivation behind this paper is to characterize the optimal dual under the spectral and operator norms. Here we give several equivalent conditions for which the canonical dual is an optimal dual frame for a given frame. We also go on to characterize the set of dual pairs which attains the optimal value.
