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Extreme weather events epitomize high cost: to society through their physical impacts, and to computer servers that simulate them to assess risk and advance physical understanding. It costs hundreds of simulation years to sample a few…

大气与海洋物理 · 物理学 2026-04-14 Justin Finkel , Paul A. O'Gorman

Bayesian neural networks (BNN) are the probabilistic model that combines the strengths of both neural network (NN) and stochastic processes. As a result, BNN can combat overfitting and perform well in applications where data is limited.…

机器学习 · 统计学 2023-04-13 Sabber Ahamed , Md Mesbah Uddin

Numerical models based on physics represent the state-of-the-art in earth system modeling and comprise our best tools for generating insights and predictions. Despite rapid growth in computational power, the perceived need for higher model…

机器学习 · 计算机科学 2022-01-10 Kate Duffy , Thomas Vandal , Weile Wang , Ramakrishna Nemani , Auroop R. Ganguly

Adaptation to climate change requires robust climate projections, yet the uncertainty in these projections performed by ensembles of Earth system models (ESMs) remains large. This is mainly due to uncertainties in the representation of…

We introduce statistical techniques required to handle complex computer models with potential applications to astronomy. Computer experiments play a critical role in almost all fields of scientific research and engineering. These computer…

天体物理仪器与方法 · 物理学 2021-09-01 Joshua Lukemire , Qian Xiao , Abhyuday Mandal , Weng Kee Wong

We use physics-informed neural networks for solving the shallow-water equations for tsunami modeling. Physics-informed neural networks are an optimization based approach for solving differential equations that is completely meshless. This…

计算物理 · 物理学 2024-06-25 Rüdiger Brecht , Elsa Cardoso-Bihlo , Alex Bihlo

Stochastic simulation is widely used to study complex systems composed of various interconnected subprocesses, such as input processes, routing and control logic, optimization routines, and data-driven decision modules. In practice, these…

统计计算 · 统计学 2026-02-19 Mohammadmahdi Ghasemloo , David J. Eckman , Yaxian Li

The Epidemic Type Aftershock Sequence (ETAS) model is one of the most widely-used approaches to seismic forecasting. However most studies of ETAS use point estimates for the model parameters, which ignores the inherent uncertainty that…

应用统计 · 统计学 2021-09-14 Gordon J Ross

Deep learning tools have gained tremendous attention in applied machine learning. However such tools for regression and classification do not capture model uncertainty. In comparison, Bayesian models offer a mathematically grounded…

机器学习 · 统计学 2016-10-05 Yarin Gal , Zoubin Ghahramani

Extreme geophysical events are of crucial relevance to our daily life: they threaten human lives and cause property damage. To assess the risk and reduce losses, we need to model and probabilistically predict these events. Parametrizations…

混沌动力学 · 物理学 2019-09-04 Guannan Hu , Tamás Bódai , Valerio Lucarini

Probabilistic models often use neural networks to control their predictive uncertainty. However, when making out-of-distribution (OOD)} predictions, the often-uncontrollable extrapolation properties of neural networks yield poor uncertainty…

机器学习 · 计算机科学 2022-01-19 Pierre Segonne , Yevgen Zainchkovskyy , Søren Hauberg

Uncertainty-quantification methods are applied to estimate the confidence of deep-neural-networks classifiers over their predictions. However, most widely used methods are known to be overconfident. We address this problem by developing an…

机器学习 · 计算机科学 2023-05-19 Luigi Sbailò , Luca M. Ghiringhelli

Real-time tsunami early warning relies on distributed sensor networks to infer seismic sources and seafloor motion. Optimizing these networks via Bayesian optimal experimental design (OED) is exceptionally challenging for systems governed…

分布式、并行与集群计算 · 计算机科学 2026-04-13 Sreeram Venkat , Stefan Henneking , Omar Ghattas

We study an optimization-based approach to construct statistically accurate confidence intervals for simulation performance measures under nonparametric input uncertainty. This approach computes confidence bounds from simulation runs driven…

统计方法学 · 统计学 2019-02-14 Henry Lam , Huajie Qian

Extreme events have an important role which is sometime catastrophic in a variety of natural phenomena including climate, earthquakes and turbulence, as well as in man-made environments like financial markets. Statistical analysis and…

混沌动力学 · 物理学 2009-10-31 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia

Predicting tsunami impacts at remote coasts largely relies on tsunami en-route measurements in an open ocean. In this work, these measurements are used to generate instant tsunami predictions in deep water and near the coast. The…

地球物理 · 物理学 2018-12-06 Elena Tolkova , Dmitry Nicolsky , Dailin Wang

In computer experiments, a mathematical model implemented on a computer is used to represent complex physical phenomena. These models, known as computer simulators, enable experimental study of a virtual representation of the complex…

统计方法学 · 统计学 2012-07-03 Hugh Chipman , Pritam Ranjan , Weiwei Wang

With the rise of computers, simulation models have emerged beside the more traditional statistical and mathematical models as a third pillar for ecological analysis. Broadly speaking, a simulation model is an algorithm, typically…

种群与进化 · 定量生物学 2018-12-24 Florian Hartig

Nonlinear initial value turbulence simulations often exhibit large temporal variations in their dynamics. Quantifying the temporal uncertainty of turbulence simulation outputs is an important component of validating the simulation results…

等离子体物理 · 物理学 2019-03-01 Payam Vaezi , Chris Holland

A performance measure for a DART tsunami buoy network has been developed. The measure is based on a statistical analysis of simulated forecasts of wave heights outside an impact site and how much the forecasts are degraded in accuracy when…