Detectability of hierarchical communities in networks

IF 2.4 3区 物理与天体物理 Q1 Mathematics
Leto Peel, Michael T. Schaub
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引用次数: 0

Abstract

We study the problem of recovering a planted hierarchy of partitions in a network. The detectability of a single planted partition has previously been analyzed in detail and a phase transition has been identified below which the partition cannot be detected. Here we show that, in the hierarchical setting, there exist additional phases in which the presence of multiple consistent partitions can either help or hinder detection. Accordingly, the detectability limit for nonhierarchical partitions typically provides insufficient information about the detectability of the complete hierarchical structure, as we highlight with several constructive examples.

Abstract Image

网络中分层群落的可探测性
我们研究的是恢复网络中分区的种植层次结构问题。此前,我们已经详细分析了单个种植分区的可探测性,并确定了一个阶段转换,在该阶段转换之下,分区将无法被探测到。在这里,我们证明了在分层设置中,还存在其他阶段,在这些阶段中,多个一致分区的存在既可以帮助检测,也可以阻碍检测。因此,非分层分区的可探测性极限通常无法提供关于完整分层结构可探测性的足够信息,我们将通过几个建设性的例子来强调这一点。
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来源期刊
Physical review. E
Physical review. E 物理-物理:流体与等离子体
CiteScore
4.60
自引率
16.70%
发文量
0
审稿时长
3.3 months
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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