Inferring geo-spatial neutral similarity from earthquake data using mixture and state clustering models

A. Bleiweiss
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Abstract

Traditionally, earthquake events are identified by prescribed and well formed geographical region boundaries. However, fixed regional schemes are subject to overlook seismic patterns typified by cross boundary relations that deem essential to seismological research. Rather, we investigate a statistically driven system that clusters earthquake bound places by similarity in seismic feature space, and is impartial to geo-spatial proximity constraints. To facilitate our study, we acquired hundreds of thousands recordings of earthquake episodes that span an extended time period of forty years, and split them into groups singled out by their corresponding geographical places. From each collection of place affiliated event data, we have extracted objective seismic features expressed in both a compact term frequency of scales format, and as a discrete signal representation that captures magnitude samples in regular time intervals. The distribution and temporal typed feature vectors are further applied towards our mixture model and Markov chain frameworks, respectively, to conduct clustering of shake affected locations. We performed extensive cluster analysis and classification experiments, and report robust results that support the intuition of geo-spatial neutral similarity.
利用混合和状态聚类模型推断地震数据的地理空间中性相似性
传统上,地震事件是由规定的和形成良好的地理区域边界来确定的。然而,固定的区域方案容易忽视以跨界关系为代表的地震模式,而跨界关系对地震学研究至关重要。相反,我们研究了一个统计驱动的系统,该系统通过地震特征空间中的相似性来聚集地震约束地点,并且对地理空间邻近性约束是公正的。为了便于我们的研究,我们收集了成千上万的地震记录,这些记录跨越了40年的时间跨度,并根据相应的地理位置将它们分成了几组。从每个地点相关事件数据集合中,我们提取了以紧凑的尺度频率格式表示的客观地震特征,以及作为在规则时间间隔内捕获震级样本的离散信号表示。将分布型和时间型特征向量分别应用于混合模型和马尔可夫链框架,对振动影响位置进行聚类。我们进行了广泛的聚类分析和分类实验,并报告了支持地理空间中性相似性直觉的稳健结果。
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