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We propose a new method to test the effectiveness of a spatial point process forecast based on a log-likelihood score for predicted point density and the information gain for events that actually occurred in the test period. The method…

Data Analysis, Statistics and Probability · Physics 2010-11-24 Yan Y. Kagan

Aftershock sequences are of particular interest in seismic research since they may condition seismic activity in a given region over long time spans. While they are typically identified with periods of enhanced seismic activity after a…

Geophysics · Physics 2015-05-18 Tiago P. Peixoto , Katharina Doblhoff-Dier , Jörn Davidsen

Earthquakes, as natural phenomena, have continuously caused damage and loss of human life historically. Earthquake prediction is an essential aspect of any society's plans and can increase public preparedness and reduce damage to a great…

Machine Learning · Computer Science 2025-11-04 Parisa Kavianpour , Mohammadreza Kavianpour , Ehsan Jahani , Amin Ramezani

We present a new kind of critical stochastic finite-time-singularity, relying on the interplay between long-memory and extreme fluctuations. We illustrate it on the well-established epidemic-type aftershock (ETAS) model for aftershocks,…

Statistical Mechanics · Physics 2009-11-07 D. Sornette , A. Helmstetter

Testing earthquake forecasts is essential to obtain scientific information on forecasting models and sufficient credibility for societal usage. We aim at enhancing the testing phase proposed by the Collaboratory for the Study of Earthquake…

Applications · Statistics 2026-02-03 Jonas R. Brehmer , Kristof Kraus , Tilmann Gneiting , Marcus Herrmann , Warner Marzocchi

The San Andreas Fault system, known for its frequent seismic activity, provides an extensive dataset for earthquake studies. The region's well-instrumented seismic networks have been crucial in advancing research on earthquake statistics,…

Epilepsy is a prevalent neurological disorder characterized by recurrent and unpredictable seizures, necessitating accurate prediction for effective management and patient care. Application of machine learning (ML) on electroencephalogram…

Signal Processing · Electrical Eng. & Systems 2023-08-11 Md. Simul Hasan Talukder , Rejwan Bin Sulaiman

The development of new earthquake forecasting models is often motivated by one of the following complementary goals: to gain new insights into the governing physics and to produce improved forecasts quantified by objective metrics. Often,…

Geophysics · Physics 2023-01-19 Leila Mizrahi , Shyam Nandan , William Savran , Stefan Wiemer , Yehuda Ben-Zion

We present a new method of data clustering applied to earthquake catalogs, with the goal of reconstructing the seismically active part of fault networks. We first use an original method to separate clustered events from uncorrelated…

Geophysics · Physics 2015-05-19 Guy Ouillon , Didier Sornette

Reliable earthquake forecasting methods have long been sought after, and so the rise of modern data science techniques raises a new question: does deep learning have the potential to learn this pattern? In this study, we leverage the large…

Geophysics · Physics 2023-07-06 Jonas Koehler , Wei Li , Johannes Faber , Georg Ruempker , Nishtha Srivastava

Value-at-Risk (VaR) and Expected Shortfall (ES) are widely used in the financial sector to measure the market risk and manage the extreme market movement. The recent link between the quantile score function and the Asymmetric Laplace…

Machine Learning · Statistics 2021-05-14 Zhengkun Li , Minh-Ngoc Tran , Chao Wang , Richard Gerlach , Junbin Gao

Earthquakes can be detected by matching spatial patterns or phase properties from 1-D seismic waves. Current earthquake detection methods, such as waveform correlation and template matching, have difficulty detecting anomalous earthquakes…

Geophysics · Physics 2019-01-30 Zheng Zhou , Youzuo Lin , Zhongping Zhang , Yue Wu , Paul Johnson

Earthquake early warning systems play crucial roles in reducing the risk of seismic disasters. Previously, the dominant modeling system was the single-station models. Such models digest signal data received at a given station and predict…

Machine Learning · Computer Science 2024-12-25 Yu-Ming Huang , Kuan-Yu Chen , Wen-Wei Lin , Da-Yi Chen

There is increasing interest in using deep learning approach for EEG analysis as there are still rooms for the improvement of EEG analysis in its accuracy. Convolutional long short-term (CNNLSTM) has been successfully applied in time series…

Signal Processing · Electrical Eng. & Systems 2019-12-20 Lingling Yang , Leanne Lai Hang Chan , Yao Lu

We propose a new deep learning model, WaveCastNet, to forecast high-dimensional wavefields. WaveCastNet integrates a convolutional long expressive memory architecture into a sequence-to-sequence forecasting framework, enabling it to model…

Machine Learning · Computer Science 2025-10-28 Dongwei Lyu , Rie Nakata , Pu Ren , Michael W. Mahoney , Arben Pitarka , Nori Nakata , N. Benjamin Erichson

The recent exploitation of natural resources and associated waste water injection in the subsurface have induced many small and moderate earthquakes in the tectonically quiet Central United States. This increase in seismic activity has…

Geophysics · Physics 2023-04-18 José Augusto Proença Maia Devienne

Distributed Acoustic Sensing (DAS) is an emerging technology for earthquake monitoring and subsurface imaging. The recorded seismic signals by DAS have several distinct characteristics, such as unknown coupling effects, strong anthropogenic…

Geophysics · Physics 2023-03-16 Weiqiang Zhu , Ettore Biondi , Jiaxuan Li , Jiuxun Yin , Zachary E. Ross , Zhongwen Zhan

In this paper, we investigate earthquake-induced landslides using a geostatistical model that includes a latent spatial effect (LSE). The LSE represents the spatially structured residuals in the data, which are complementary to the…

Applications · Statistics 2019-09-04 Luigi Lombardo , Haakon Bakka , Hakan Tanyas , Cees van Westen , P. Martin Mai , Raphael Huser

Seismic waveforms contain rich information about earthquake processes, making effective data analysis crucial for earthquake monitoring, source characterization, and seismic hazard assessment. With rapid developments in deep learning, the…

Geophysics · Physics 2025-06-10 Weiqiang Zhu , Junhao Song , Haoyu Wang , Jannes Münchmeyer

Hybrid methods have been shown to outperform pure statistical and pure deep learning methods at both forecasting tasks, and at quantifying the uncertainty associated with those forecasts (prediction intervals). One example is Multivariate…

Machine Learning · Computer Science 2022-02-28 Thabang Mathonsi , Terence L van Zyl