On hypercontractivity and the mutual information between Boolean functions
On hypercontractivity and the mutual information between Boolean functions
复制标题
关于超收缩性和布尔函数之间的互信息
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Chandra Nair
中科院分区：
文献类型：
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作者：
V. Anantharam;A. Gohari;Sudeep Kamath;Chandra Nair
超压缩性在数学、物理和理论计算机科学中有许多成功的应用。在这项工作中，我们使用最近建立的一对随机变量的hypercontractivity丝带的性质，研究最近的猜想，关于二进制函数之间的互信息的个别边际序列的序列对随机变量从一个双对称的二进制源。
Hypercontractivity has had many successful applications in mathematics, physics, and theoretical computer science. In this work we use recently established properties of the hypercontractivity ribbon of a pair of random variables to study a recent conjecture regarding the mutual information between binary functions of the individual marginal sequences of a sequence of pairs of random variables drawn from a doubly symmetric binary source.