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One of the main interests in seismology is the formulation of models able to describe the clustering in time occurrence of earthquakes. Analysis of the Southern California Catalog shows magnitude clustering in correspondence to temporal…

地球物理 · 物理学 2007-05-23 Eugenio Lippiello , Cataldo Godano , Lucilla de Arcangelis

Machine learning (ML) catalogs contain many more earthquakes than routine catalogs, but their performance in phase picking and earthquake detection has not been fully evaluated. We develop station-level detection probabilities using…

地球物理 · 物理学 2026-02-11 Jaehong Chung , Yifan Yu , Lauro Chiaraluce , Maddalena Michele , Gregory C. Beroza

Self-exciting Hawkes processes are used to model events which cluster in time and space, and have been widely studied in seismology under the name of the Epidemic Type Aftershock Sequence (ETAS) model. In the ETAS framework, the occurrence…

统计计算 · 统计学 2020-02-06 Aleksandar A. Kolev , Gordon J. Ross

In this paper, we propose a unified framework for sampling, clustering and embedding data points in semi-metric spaces. For a set of data points $\Omega=\{x_1, x_2, \ldots, x_n\}$ in a semi-metric space, we consider a complete graph with…

社会与信息网络 · 计算机科学 2017-08-02 Chia-Tai Chang , Cheng-Shang Chang

The scientific process of earthquake forecasting involves estimating the probability and intensity of earthquakes in a specific area within a certain timeframe, based on seismic activity laws and observational data. Epidemic-Type Aftershock…

地球物理 · 物理学 2023-10-05 Haoyuan Zhang , Shuya Ke , Wenqi Liu , Yongwen Zhang

Semi-supervised clustering seeks to augment traditional clustering methods by incorporating side information provided via human expertise in order to increase the semantic meaningfulness of the resulting clusters. However, most current…

机器学习 · 计算机科学 2014-02-17 Caiming Xiong , David Johnson , Jason J. Corso

Averaging amplitudes over consecutive time samples within a time-window is widely used to calculate the amplitude of an event-related potential (ERP) for cognitive neuroscience. Objective determination of the time-window is critical for…

神经元与认知 · 定量生物学 2019-11-22 Reza Mahini , Peng Xu , Guoliang Chen , Yansong Li , Weiyan Ding , Lei Zhang , Nauman Khalid Qureshi , Asoke K. Nandi , Fengyu Cong

Earthquakes are a complex spatiotemporal phenomenon, the underlying mechanism for which is still not fully understood despite decades of research and analysis. We propose and develop a network approach to earthquake events. In this network,…

地球物理 · 物理学 2015-05-28 Joel N. Tenenbaum , Shlomo Havlin , H. Eugene Stanley

Clustering is a widely deployed unsupervised learning tool. Model-based clustering is a flexible framework to tackle data heterogeneity when the clusters have different shapes. Likelihood-based inference for mixture distributions often…

机器学习 · 统计学 2023-05-30 Yubo Zhuang , Xiaohui Chen , Yun Yang

Earthquake monitoring by seismic networks typically involves a workflow consisting of phase detection/picking, association, and location tasks. In recent years, the accuracy of these individual stages has been improved through the use of…

地球物理 · 物理学 2022-04-06 Weiqiang Zhu , Kai Sheng Tai , S. Mostafa Mousavi , Peter Bailis , Gregory C. Beroza

In several environmental applications data are functions of time, essentially con- tinuous, observed and recorded discretely, and spatially correlated. Most of the methods for analyzing such data are extensions of spatial statistical tools…

统计方法学 · 统计学 2011-06-28 Elvira Romano , Antonio Balzanella , Rosanna Verde

Clustering is a fundamental technique in data analysis and machine learning, used to group similar data points together. Among various clustering methods, the Minimum Sum-of-Squares Clustering (MSSC) is one of the most widely used. MSSC…

最优化与控制 · 数学 2025-10-08 Anna Livia Croella , Veronica Piccialli , Antonio M. Sudoso

In the present paper we have conducted studies on seismological properties using worldwide data of deep earthquakes (depth larger than 70 km), considering events with magnitude $m \geq 4.5$. We have addressed the problem under the…

Data clustering has received a lot of attention and numerous methods, algorithms and software packages are available. Among these techniques, parametric finite-mixture models play a central role due to their interesting mathematical…

计算机视觉与模式识别 · 计算机科学 2017-01-31 Israel D. Gebru , Xavier Alameda-Pineda , Florence Forbes , Radu Horaud

The clustering of bounded data presents unique challenges in statistical analysis due to the constraints imposed on the data values. This paper introduces a novel method for model-based clustering specifically designed for bounded data.…

统计方法学 · 统计学 2025-05-16 Luca Scrucca

Probabilistic clustering models (or equivalently, mixture models) are basic building blocks in countless statistical models and involve latent random variables over discrete spaces. For these models, posterior inference methods can be…

机器学习 · 统计学 2020-06-24 Ari Pakman , Yueqi Wang , Catalin Mitelut , JinHyung Lee , Liam Paninski

Recent studies increasingly adopt simulation-based machine learning (ML) models to analyze critical infrastructure system resilience. For realistic applications, these ML models consider the component-level characteristics that influence…

机器学习 · 计算机科学 2022-05-09 Srijith Balakrishnan , Beatrice Cassottana , Arun Verma

Bayesian clustering typically relies on mixture models, with each component interpreted as a different cluster. After defining a prior for the component parameters and weights, Markov chain Monte Carlo (MCMC) algorithms are commonly used to…

统计方法学 · 统计学 2024-07-30 Alexander Dombowsky , David B. Dunson

In recent years, AI and deep learning earthquake detectors, combined with an increasing number of dense seismic networks deployed worldwide, have further contributed to the creation of massive seismic catalogs, significantly lowering their…

地球物理 · 物理学 2025-09-03 Michele De Solda , Francesco Grigoli , Sonja Gaviano , Giacomo Rapagnani , Bogdan Enescu

We introduce a Self-affine Asperity Model (SAM) for the seismicity that mimics the fault friction by means of two fractional Brownian profiles (fBm) that slide one over the other. An earthquake occurs when there is an overlap of the two…

凝聚态物理 · 物理学 2009-10-28 R. Hallgass , V. Loreto , O. Mazzella , G. Paladin , L. Pietronero