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Related papers: Earthquake prediction analysis: The M8 algorithm

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We modify the new method for the statistical estimation of the tail distribution of earthquake seismic moments introduced by Pisarenko et al. [2009] and apply it to the earthquake catalog of Japan (1923-2007). The method is based on the two…

Geophysics · Physics 2015-05-13 V. F. Pisarenko , D. Sornette , M. V. Rodkin

The currently best known algorithms for the numerical evaluation of hypergeometric constants such as $\zeta(3)$ to $d$ decimal digits have time complexity $O(M(d) \log^2 d)$ and space complexity of $O(d \log d)$ or $O(d)$. Following work…

Symbolic Computation · Computer Science 2016-08-14 Howard Cheng , Guillaume Hanrot , Emmanuel Thomé , Eugene Zima , Paul Zimmermann

This paper develops a novel method, based on hidden Markov models, to forecast earthquakes and applies the method to mainshock seismic activity in southern California and western Nevada. The forecasts are of the probability of a mainshock…

Applications · Statistics 2014-11-21 Daniel W. Chambers , Jenny A. Baglivo , John E. Ebel , Alan L. Kafka

This report presents a preliminary analysis of an LSTM neural network designed to predict the accuracy of magnitude estimates computed by Early-est during the first minutes after an earthquake occurs.

Geophysics · Physics 2021-05-27 Massimo Nazaria

This paper derives practical algorithms, based on Bayesian inference methods, for several data analysis problems common in time series analysis of astronomical and other data. One problem is the determination of the lag between two time…

Numerical Analysis · Mathematics 2025-10-20 Jeffrey D. Scargle

Post-earthquake hazard and impact estimation are critical for effective disaster response, yet current approaches face significant limitations. Traditional models employ fixed parameters regardless of geographical context, misrepresenting…

Machine Learning · Statistics 2025-04-08 Xuechun Li , Shan Gao , Runyu Gao , Susu Xu

Scaling analysis reveals striking regularities in earthquake occurrence. The time between any one earthquake and that following it is random, but it is described by the same universal-probability distribution for any spatial region and…

Condensed Matter · Physics 2009-11-10 Alvaro Corral

Uncertainty is an essential consideration for time series forecasting tasks. In this work, we specifically focus on quantifying the uncertainty of traffic forecasting. To achieve this, we develop Deep Spatio-Temporal Uncertainty…

Machine Learning · Computer Science 2022-08-12 Weizhu Qian , Dalin Zhang , Yan Zhao , Kai Zheng , James J. Q. Yu

We make an extensive numerical study of a two dimensional nonconservative model proposed by Olami-Feder-Christensen to describe earthquake behavior. By analyzing the distribution of earthquake sizes using a multiscaling method, we find…

Statistical Mechanics · Physics 2016-08-31 Stefano Lise , Maya Paczuski

Frequency-magnitude distributions, and their associated uncertainties, are of key importance in statistical seismology. When fitting these distributions, the assumption of Gaussian residuals is invalid since event numbers are both discrete…

Geophysics · Physics 2009-11-13 J. Greenhough , I. G. Main

In an earthquake event, the combination of a strong mainshock and damaging aftershocks is often the cause of severe structural damages and/or high death tolls. The objective of this paper is to provide estimation for the probability of such…

Applications · Statistics 2019-06-18 Juan-Juan Cai , Phyllis Wan , Gamze Ozel

In this study, we evaluate the spatial forecasting skill of the $b$-value and background seismicity rate $\mu$ across the Alborz region using a homogenized catalog of 23,961 earthquakes ($M \geq 1.5$) recorded by the Iranian Seismological…

Quantifying uncertainty in neural network predictions is essential for high-stakes domains such as autonomous driving, healthcare, and manufacturing. While existing approaches often depend on costly sampling or restrictive distributional…

Machine Learning · Computer Science 2026-05-29 Eunseo Choi , Ho-Yeon Kim , Jaewon Lee , Taeyong jo , Myungjun lee , Heejin Ahn

Machine learning classifiers are probabilistic in nature, and thus inevitably involve uncertainty. Predicting the probability of a specific input to be correct is called uncertainty (or confidence) estimation and is crucial for risk…

Machine Learning · Computer Science 2023-01-11 Gabriella Chouraqui , Liron Cohen , Gil Einziger , Liel Leman

Gravitational wave observatories have always been affected by tele-seismic earthquakes leading to a decrease in duty cycle and coincident observation time. In this analysis, we leverage the power of machine learning algorithms and archival…

Smartphone-based earthquake early warning systems implemented by citizen science initiatives are characterized by a significant variability in their smartphone network geometry. This has an direct impact on the earthquake detection…

Applications · Statistics 2022-11-03 Francesco Finazzi , Frank Yannick Massoda Tchoussi

Forecast evaluation plays a key role in how empirical evidence shapes the development of the discipline. Domain experts are interested in error measures relevant for their decision making needs. Such measures may produce unreliable results.…

Machine Learning · Computer Science 2021-08-10 Hansika Hewamalage , Pablo Montero-Manso , Christoph Bergmeir , Rob J Hyndman

This paper describes the use of the idea of natural time to propose a new method for characterizing the seismic risk to the world's major cities at risk of earthquakes. Rather than focus on forecasting, which is the computation of…

Geophysics · Physics 2017-12-06 John B Rundle , Molly Luginbuhl , Alexis Giguere , Donald L Turcotte

We study the distributions of earthquake numbers in two global catalogs: Global Centroid-Moment Tensor and Preliminary Determinations of Epicenters. These distributions are required to develop the number test for forecasts of future seismic…

Applications · Statistics 2017-10-11 Yan Y. Kagan

Spatially referenced datasets have become increasingly prevalent across many fields, largely driven by advances in data collection methods such as satellite remote sensing. In many applications, predictions at unobserved locations are…

Computation · Statistics 2026-05-19 Isaac Amouzou , Ben Seiyon Lee
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