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Performing Bayesian inference for the Epidemic-Type Aftershock Sequence (ETAS) model of earthquakes typically requires MCMC sampling using the likelihood function or estimating the latent branching structure. These tasks have computational…

Applications · Statistics 2024-05-29 Samuel Stockman , Daniel J. Lawson , Maximilian J. Werner

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

We first present an empirical study of the Belief Propagation (BP) algorithm, when run on the random field Ising model defined on random regular graphs in the zero temperature limit. We introduce the notion of maximal solutions for the BP…

Disordered Systems and Neural Networks · Physics 2018-02-01 Gabriele Perugini , Federico Ricci-Tersenghi

In this paper, an agent-based modeling framework to evaluate the seismic resilience of an integrated system comprising the community and its civil infrastructure systems is proposed. Specifically, an agent-based model of the recovery…

Physics and Society · Physics 2019-06-04 Li Sun , Bozidar Stojadinovic , Giovanni Sansavini

Within the framework of maximum entropy principle we show that the finite-size long-range Ising model is the adequate model for the description of homogeneous credit portfolios and the computation of credit risk when default correlations…

Other Condensed Matter · Physics 2016-08-31 Jordi Molins , Eduard Vives

The ETAS model is widely employed to model the spatio-temporal distribution of earthquakes, generally using spatially invariant parameters. We propose an efficient method for the estimation of spatially varying parameters, using the…

Geophysics · Physics 2017-06-28 Shyam Nandan , Guy Ouillon , Stefan Wiemer , Didier Sornette

Identifying damage of structural systems is typically characterized as an inverse problem which might be ill-conditioned due to aleatory and epistemic uncertainties induced by measurement noise and modeling error. Sparse representation can…

Applications · Statistics 2020-06-09 Zhao Chen , Hao Sun

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

In a performance based earthquake engineering (PBEE) framework, nonlinear time-history response analysis (NLTHA) for numerous ground motions are required to assess the seismic risk of buildings or civil engineering structures. However, such…

Computational Engineering, Finance, and Science · Computer Science 2026-04-17 Keiichi Ishikawa , Yuma Matsumoto , Taro Yaoyama , Sangwon Lee , Tatsuya Itoi

Long-range synchrony from short-range interactions is a familiar pattern in biological and physical systems, many of which share a common set of ``universal'' properties at the point of synchronization. Common biological systems of coupled…

Statistical Mechanics · Physics 2021-06-14 Vahini Reddy Nareddy , Jonathan Machta , Karen C Abbott , Shadisadat Esmaeili , Alan Hastings

We introduce a class of damage models on regular lattices with isotropic interactions, as e.g. quasistatic fiber bundles. The system starts intact with a surface-energy threshold required to break any cell sampled from an uncorrelated…

Statistical Mechanics · Physics 2009-11-10 Renaud Toussaint , Steven R. Pride

Ising models, and the physical systems described by them, play a central role in generating entangled states for use in quantum metrology and quantum information. In particular, ultracold atomic gases, trapped ion systems, and Rydberg atoms…

The computationally expensive estimation of engineering demand parameters (EDPs) via finite element (FE) models, while considering earthquake and parameter uncertainty limits the use of the Performance Based Earthquake Engineering…

Machine Learning · Statistics 2022-06-14 Siddharth S. Parida , Supratik Bose , Megan Butcher , Georgios Apostolakis , Prashant Shekhar

A scheme for measuring complex temperature partition functions of Ising models is introduced. In the context of ordered qubit registers this scheme finds a natural translation in terms of global operations, and single particle measurements…

Quantum Physics · Physics 2013-11-19 S. Iblisdir , M. Cirio , O. Boada , G. K. Brennen

This paper presents a framework for decision-making regarding post-earthquake assessment of instrumented buildings in a manner consistent with performance-based design criteria. This framework is achieved by simultaneously combining and…

Signal Processing · Electrical Eng. & Systems 2020-02-27 Milad Roohi , Eric M. Hernandez

No proven method is currently available for the reliable short time prediction of earthquakes (minutes to months). However, it is possible to make probabilistic hazard assessments for earthquake risk. These are primarily based on the…

Statistical Mechanics · Physics 2020-01-29 James R. Holliday , Kazuyoshi Z. Nanjo , Kristy F. Tiampo , John B. Rundle , Donald L. Turcotte

Since the beginning of this century, the significant advancements in artificial intelligence and neural networks have offered the potential to bring new transformations to short-term earthquake prediction research. However, currently, there…

Geophysics · Physics 2025-07-23 Zhiyu Xu , Qingliang Chen

Bayesian model updating facilitates the calibration of analytical models based on observations and the quantification of uncertainties in model parameters such as stiffness and mass. This process significantly enhances damage assessment and…

Applications · Statistics 2024-08-06 Taro Yaoyama , Tatsuya Itoi , Jun Iyama

Over the past decades much effort has been devoted towards understanding and forecasting natural hazards. However, earthquake forecasting skill is still very limited and remains a great scientific challenge. The limited earthquake…

Seismic imaging is the numerical process of creating a volumetric representation of the subsurface geological structures from elastic waves recorded at the surface of the Earth. As such, it is widely utilized in the energy and construction…

Geophysics · Physics 2024-11-05 Juan Romero , Wolfgang Heidrich , Nick Luiken , Matteo Ravasi