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Accurate analysis and forecasting of tidal level are very important tasks for human activities in oceanic and coastal areas. They can be crucial in catastrophic situations like occurrences of Tsunamis in order to provide a rapid alerting to…

Computational Engineering, Finance, and Science · Computer Science 2014-03-04 Sergio Consoli , Diego Reforgiato Recupero , Vanni Zavarella

After the 2004 and 2011 tsunamis came unprecedented to the scientific community the role of probabilistic tsunami hazard assessment (PTHA) in tsunami-prone areas came to the fore. The Makran subduction zone (MSZ) is a hazardous…

Geophysics · Physics 2021-04-27 Parastoo Salah , Jun Sasaki , Mohsen Soltanpour

In order to perform probabilistic tsunami hazard assessment (PTHA) based on subduction zone earthquakes, it is necessary to start with a catalog of possible future events along with the annual probability of occurance, or a probability…

Numerical Analysis · Mathematics 2018-12-27 Randall J. LeVeque , Knut Waagan , Frank I. González , Donsub Rim , Guang Lin

We propose and compare methods for the analysis of extreme events in complex systems governed by PDEs that involve random parameters, in situations where we are interested in quantifying the probability that a scalar function of the…

Optimization and Control · Mathematics 2025-08-12 Shanyin Tong , Eric Vanden-Eijnden , Georg Stadler

Epistemic uncertainty quantification is a crucial part of drawing credible conclusions from predictive models, whether concerned about the prediction at a given point or any downstream evaluation that uses the model as input. When the…

Machine Learning · Statistics 2022-11-15 Nathan Kallus , James McInerney

A major challenge in next-generation industrial applications is to improve numerical analysis by quantifying uncertainties in predictions. In this work we present a formulation of a fully nonlinear and dispersive potential flow water wave…

Computational Physics · Physics 2016-04-15 Daniele Bigoni , Allan P. Engsig-Karup , Claes Eskilsson

Predictive hydrological uncertainty can be quantified by using ensemble methods. If properly formulated, these methods can offer improved predictive performance by combining multiple predictions. In this work, we use 50-year-long monthly…

Posterior distributions on parameters computed from experimental data using Bayesian techniques are only as accurate as the models used to construct them. In many applications these models are incomplete, which both reduces the prospects of…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Christopher J. Moore , Jonathan R. Gair

Although the sequential tsunami scenario detection framework was validated in our previous work, several tasks remain to be resolved from a practical point of view. This study aims to evaluate the performance of the previous tsunami…

Computational Engineering, Finance, and Science · Computer Science 2024-07-08 Reika Nomura , Louise A. Hirao Vermare , Saneiki Fujita , Donsub Rim , Shuji Moriguchi , Randall J. LeVeque , Kenjiro Terada

Given a distribution of earthquake-induced seafloor elevations, we present a method to compute the probability of the resulting tsunamis reaching a certain size on shore. Instead of sampling, the proposed method relies on optimization to…

Geophysics · Physics 2023-07-05 Shanyin Tong , Eric Vanden-Eijnden , Georg Stadler

Tsetlin Machines (TMs) have emerged as a compelling alternative to conventional deep learning methods, offering notable advantages such as smaller memory footprint, faster inference, fault-tolerant properties, and interpretability. Although…

Machine Learning · Computer Science 2024-11-14 K. Darshana Abeyrathna , Sara El Mekkaoui , Andreas Hafver , Christian Agrell

Coastal flooding drives considerable risks to many communities, but projections of future flood risks are deeply uncertain. The paucity of observations of extreme events often motivates the use of statistical approaches to model the…

Applications · Statistics 2018-08-01 Tony E. Wong , Alexandra Klufas , Vivek Srikrishnan , Klaus Keller

Usual inversion for earthquake source parameters from tsunami wave data incorporates subjective elements. Noisy and possibly insufficient data also results in instability and non-uniqueness in most deterministic inversions. Here we employ…

We present a novel framework for pricing waterfall structures by simulating the uncertainty of the cashflow generated by the underlying assets in terms of value, time, and confidence levels. Our approach incorporates various probability…

Pricing of Securities · Quantitative Finance 2025-07-18 Nicola Jean , Giacomo Le Pera , Lorenzo Giada , Claudio Nordio

A new method for estimating tropical cyclone track uncertainty is presented and tested. This method uses a neural network to predict a bivariate normal distribution, which serves as an estimate for track uncertainty. We train the network…

Atmospheric and Oceanic Physics · Physics 2025-03-14 M. A. Fernandez , Elizabeth A. Barnes , Randal J. Barnes , Mark DeMaria , Marie McGraw , Galina Chirokova , Lixin Lu

Fluvial floods drive severe risk to riverine communities. There is a strong evidence of increasing flood hazards in many regions around the world. The choice of methods and assumptions used in flood hazard estimates can impact the design of…

Recent studies in the literature have introduced a new approach to earthquake forecasting based on representing the space-time patterns of localized seismicity by a time-dependent system state vector in a real-valued Hilbert space and…

The rotating shallow water model is a simplification of oceanic and atmospheric general circulation models that are used in many applications such as surge prediction, tsunami tracking and ocean modelling. In this paper we introduce a class…

Analysis of PDEs · Mathematics 2023-03-22 Oana Lang , Dan Crisan , Etienne Mémin

Significant tsunamis in Northern Adriatic are rare and only a few historical events were reported in the literature, with sources mostly located along with central and southern parts of the Adriatic coasts. Recently, a tsunami alert system…

Geophysics · Physics 2023-09-15 Antonella Peresan , Hany M. Hassan

The Delta method is a classical procedure for quantifying epistemic uncertainty in statistical models, but its direct application to deep neural networks is prevented by the large number of parameters $P$. We propose a low cost variant of…

Machine Learning · Computer Science 2021-03-02 Geir K. Nilsen , Antonella Z. Munthe-Kaas , Hans J. Skaug , Morten Brun
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