This leads to a simple proof of a curious inequality of Samorodnitsky (2015), and sheds light on how information spreads in the subsets of inputs of a memoryless channel.doi:10.48550/arXiv.1508.06025Polyanskiy, YuryWu, YihongY. Polyanskiy and Y. Wu, "Strong data-processing inequalities ...
A fundamental property of any information measure is the data processing inequality (DPI), that is, such a quantity must be non-increasing under quantum channels that are defined as completely positive and trace-preserving maps. For the-z-Rényi divergences, this means that we require for any q...
摘要: Presents information on a study which proved a data processing inequality for quantum communication channels. Operator monotonicity; Finite quantum systems and physical maps; Uhlmann's Monotonicity Theorem; Quantum data processing inequality.
A generalization of the data processing inequality is iteratively applied to prune possible spurious associations from the network [38]. Stand-alone scripts implementing this pipeline can be retrieved from Additional file 3 of [16]. We have used the Meme2Fimo tool to investigate transcriptional ...
{B}}}\): a set of domain-specific axioms expressed as logic formulae. They involvex,y, and possibly more variables that are necessary to formulate the background theory. In this work we focus mainly on first-order-logic formulae with equality, inequality and basic arithmetic operators...
Data processing is the series of operations that are carried out on data. 数据处理是按照数据而进行的一系列运算. 《简明英汉词典》 The scientists were still evaluating their data. 那些科学家还在评价他们的资料. 《用法词典》 They met with many difficulties, for they lacked equipment, experience and...
“legitimate uses” under the Act—including epidemics, disasters, or State functions under any law. Companies should provide users with a “notice” when seeking their consent for data processing. Notably, if a user has consented to data processing before the law’s enactment, the company ...
and processing the larger datasets. The penalty term in the DVM accounts for some of these potential detrimental effects due to inflating the data. The effect of the regularization term is mediated by the size of the penalty coefficient\lambda, which controls the DVM balance between quality of ...
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Data Quality has been an active and attractive research area for several years [2,3]. In the context of Big Data, quality assessment processes are hard to implement, since they are time- and cost-consuming, especially for the pre-processing activities. These issues have got intensified since ...