Entropy Region and Convolution
Entropy Region and Convolution
复制标题
熵区域和卷积
DOI：
10.1109/tit.2016.2601598
复制
发表时间：
2013
影响因子：
2.5
通讯作者：
L. Csirmaz
中科院分区：
文献类型：
--
作者：
F. Matús;L. Csirmaz
熵域由随机变量的向量通过收集所有子向量的香农熵构造而成。它的形状在这里是通过多矩阵结构，特别是通过卷积来研究的。将区域闭合分解为紧性部分和模性部分的直接和，将研究减少到紧性部分。还原的相对内部属于熵区。阐明了自粘作用下的分解行为。结果被专门化并扩展到由四个随机变量元组构成的区域。这和计算机实验有助于可视化熵区对称部分的近似值。驳斥了最小英格尔顿分数的四原子猜想。
The entropy region is constructed from vectors of random variables by collecting Shannon entropies of all subvectors. Its shape is studied here by means of polymatroidal constructions, notably by convolution. The closure of the region is decomposed into the direct sum of tight and modular parts, reducing the study to the tight part. The relative interior of the reduction belongs to the entropy region. Behavior of the decomposition under self-adhesivity is clarified. Results are specialized and extended to the region constructed from four tuples of random variables. This and computer experiments help to visualize approximations of a symmetrized part of the entropy region. The four-atom conjecture on the minimal Ingleton score is refuted.
影响因子：
2.5
作者：
M. Gadouleau;Søren Riis
通讯作者：
M. Gadouleau;Søren Riis
DOI：
10.1109/netcod.2013.6570823
发表时间：
2013
期刊：
--
影响因子：
--
作者：
Baber R
通讯作者：
Baber R