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Fragility curves which express the failure probability of a structure, or critical components, as function of a loading intensity measure are nowadays widely used (i) in Seismic Probabilistic Risk Assessment studies, (ii) to evaluate impact…

Machine Learning · Computer Science 2018-10-03 Rémi Sainct , Cyril Feau , Jean-Marc Martinez , Josselin Garnier

We present an approach for forming sensitivity maps (or sensitivites) using ensembles. The method is an alternative to using an adjoint, which can be very challenging to formulate and also computationally expensive to solve. The main…

Computational Engineering, Finance, and Science · Computer Science 2018-09-21 C. E. Heaney , P. Salinas , F. Fang , C. C. Pain , I. M. Navon

The global sensitivity analysis method, used to quantify the influence of uncertain input variables on the response variability of a numerical model, is applicable to deterministic computer code (for which the same set of input variables…

Methodology · Statistics 2009-06-08 Bertrand Iooss , Mathieu Ribatet , Amandine Marrel

Though the mediums for visualization are limited, the potential dimensions of a dataset are not. In many areas of scientific study, understanding the correlations between those dimensions and their uncertainties is pivotal to mining useful…

Astrophysics · Physics 2009-02-25 Steve Haroz , Kwan-Liu Ma , Katrin Heitmann

Classical problems in computational physics such as data-driven forecasting and signal reconstruction from sparse sensors have recently seen an explosion in deep neural network (DNN) based algorithmic approaches. However, most DNN models do…

Machine Learning · Computer Science 2023-02-21 Romit Maulik , Romain Egele , Krishnan Raghavan , Prasanna Balaprakash

A reduced-rank mixed effects model is developed for robust modeling of sparsely observed paired functional data. In this model, the curves for each functional variable are summarized using a few functional principal components, and the…

Methodology · Statistics 2023-08-08 Huiya Zhou , Xiaomeng Yan , Lan Zhou

For an ensemble of data points in a multi-parameter space, we present a visual analytics technique to select a representative distribution of parameter values, and analyse how representative this distribution is in all ensemble members. A…

Human-Computer Interaction · Computer Science 2020-07-31 Alexander Kumpf , Josef Stumpfegger , Patrick Fabian Härtl , Rüdiger Westermann

We formulate an optimization problem to estimate probability densities in the context of multidimensional problems that are sampled with uneven probability. It considers detector sensitivity as an heterogeneous density and takes advantage…

Machine Learning · Computer Science 2025-06-04 Aleix Boquet-Pujadas , Pol del Aguila Pla , Michael Unser

We present a computational framework for analyzing and quantifying system flexibility. Our framework incorporates new features that include: general uncertainty characterizations that are constructed using composition of sets, procedures…

Optimization and Control · Mathematics 2021-06-25 Joshua L. Pulsipher , Daniel Rios , Victor M. Zavala

Understanding and tuning the performance of extreme-scale parallel computing systems demands a streaming approach due to the computational cost of applying offline algorithms to vast amounts of performance log data. Analyzing large…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-28 Suraj P. Kesavan , Takanori Fujiwara , Jianping Kelvin Li , Caitlin Ross , Misbah Mubarak , Christopher D. Carothers , Robert B. Ross , Kwan-Liu Ma

Uncertainty quantification is a primary challenge for reliable modeling and simulation of complex stochastic dynamics. Such problems are typically plagued with incomplete information that may enter as uncertainty in the model parameters, or…

Probability · Mathematics 2015-07-15 Paul Dupuis , Markos A. Katsoulakis , Yannis Pantazis , Petr Plechac

Inverse problems play a key role in modern image/signal processing methods. However, since they are generally ill-conditioned or ill-posed due to lack of observations, their solutions may have significant intrinsic uncertainty. Analysing…

Signal Processing · Electrical Eng. & Systems 2019-09-09 Xiaohao Cai , Marcelo Pereyra , Jason D. McEwen

The complexity and size of state-of-the-art cell models have significantly increased in part due to the requirement that these models possess complex cellular functions which are thought--but not necessarily proven--to be important. Modern…

Neurons and Cognition · Quantitative Biology 2018-11-22 J. L. Hart , P. A. Gremaud , T. David

Simulations of pulverised coal combustion rely on various models, required in order to correctly approximate the flow, chemical reactions, and behavior of solid particles. These models, in turn, rely on multiple model parameters, which are…

Chemical Physics · Physics 2021-02-24 Ahmed Hassan , Taraneh Sayadi , Vincent LeChenadec , Heinz Pitsch , Antonio Attili

This paper introduces an efficient sub-model ensemble framework aimed at enhancing the interpretability of medical deep learning models, thus increasing their clinical applicability. By generating uncertainty maps, this framework enables…

Machine Learning · Computer Science 2024-11-11 Weijie Chen , Alan McMillan

Describing the evolution of quantum systems by means of non-Hermitian generators opens a new avenue to explore the dynamical properties naturally emerging in such a picture, e.g. operation at the so-called exceptional points, preservation…

Quantum Physics · Physics 2023-12-01 Javid Naikoo , Ravindra W. Chhajlany , Jan Kolodynski

Modeling and parameter estimation for neuronal dynamics are often challenging because many parameters can range over orders of magnitude and are difficult to measure experimentally. Moreover, selecting a suitable model complexity requires a…

Dynamical Systems · Mathematics 2018-01-31 J. E. Rubin , B. Krauskopf , H. M. Osinga

Functional data analysis almost always involves smoothing discrete observations into curves, because they are never observed in continuous time and rarely without error. Although smoothing parameters affect the subsequent inference,…

Methodology · Statistics 2025-04-07 Sunny G. W. Wang , Valentin Patilea , Nicolas Klutchnikoff

Several visualization schemes have been developed for imaging materials at the atomic level through atom probe tomography. The main shortcoming of these tools is their inability to parallel process data using multi-core computing units to…

Materials Science · Physics 2012-02-07 Hari Dahal , Michael Stukowski , Matthias J. Graf , Alexander V. Balatsky , Krishna Rajan

The quantum dense output problem is the process of evaluating time-accumulated observables from time-dependent quantum dynamics using quantum computers. This problem arises frequently in applications such as quantum control and…

Quantum Physics · Physics 2024-06-21 Jin-Peng Liu , Lin Lin