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Uncertainty quantification by ensemble learning is explored in terms of an application from computational optical form measurements. The application requires to solve a large-scale, nonlinear inverse problem. Ensemble learning is used to…

Machine Learning · Computer Science 2021-03-03 Lara Hoffmann , Ines Fortmeier , Clemens Elster

In earthquake source inversions aimed at understanding diverse fault activities on earthquake faults using seismic observation data, uncertainties in velocity structure models are typically not considered. As a result, biases and…

Geophysics · Physics 2025-01-31 Ryoichiro Agata

Geostatistical seismic inversion is commonly used to infer the spatial distribution of the subsurface petro-elastic properties by perturbing the model parameter space through iterative stochastic sequential simulations/co-simulations. The…

Applications · Statistics 2018-10-19 Leonardo Azevedo , Vasily Demyanov

Uncertainty quantification in automated image analysis is highly desired in many applications. Typically, machine learning models in classification or segmentation are only developed to provide binary answers; however, quantifying the…

Economic assessment in environmental science concerns the measurement or valuation of environmental impacts, adaptation, and vulnerability. Integrated assessment modeling is a unifying framework of environmental economics, which attempts to…

General Economics · Economics 2020-09-02 Ruda Zhang , Patrick Wingo , Rodrigo Duran , Kelly Rose , Jennifer Bauer , Roger Ghanem

In this study, we explore in depth a few under-studied topics at the intersection of uncertainty estimation and segmentation. Prior work has shown that the quality of uncertainty estimates can be very sensitive to a range of variables. As…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Michael Smith , Frank P. Ferrie

Stochastic simulation has been widely used to analyze the performance of complex stochastic systems and facilitate decision making in those systems. Stochastic simulation is driven by the input model, which is a collection of probability…

Risk Management · Quantitative Finance 2020-02-14 Tianyi Liu , Enlu Zhou

Uncertainty estimation and ensembling methods go hand-in-hand. Uncertainty estimation is one of the main benchmarks for assessment of ensembling performance. At the same time, deep learning ensembles have provided state-of-the-art results…

Machine Learning · Statistics 2021-07-20 Arsenii Ashukha , Alexander Lyzhov , Dmitry Molchanov , Dmitry Vetrov

The interpretation of seismic images faces challenges due to the presence of several uncertainty sources. Uncertainties exist in data measurements, source positioning, and subsurface geophysical properties. Understanding uncertainties' role…

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

Numerical Analysis · Mathematics 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

Characterizing uncertainty is a common issue in nuclear measurement and has important implications for reliable physical discovery. Traditional methods are either insufficient to cope with the heterogeneous nature of uncertainty or…

Data Analysis, Statistics and Probability · Physics 2022-03-01 Pengcheng Ai , Zhi Deng , Yi Wang , Chendi Shen

Machine learning models have emerged as a very effective strategy to sidestep time-consuming electronic-structure calculations, enabling accurate simulations of greater size, time scale and complexity. Given the interpolative nature of…

Statistical learning algorithms provide a generally-applicable framework to sidestep time-consuming experiments, or accurate physics-based modeling, but they introduce a further source of error on top of the intrinsic limitations of the…

Chemical Physics · Physics 2024-05-17 Matthias Kellner , Michele Ceriotti

Faithful uncertainty quantification (UQ) is paramount in high stakes climate prediction. Deep ensembles, or ensembles of probabilistic neural networks, are state of the art for UQ in machine learning (ML) and are growing increasingly…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Devin M. McAfee , Elizabeth A. Barnes

Uncertainty sampling is a prevalent active learning algorithm that queries sequentially the annotations of data samples which the current prediction model is uncertain about. However, the usage of uncertainty sampling has been largely…

Machine Learning · Computer Science 2026-04-08 Shang Liu , Xiaocheng Li

Recently, deep learning has emerged as a promising tool for statistical downscaling, the set of methods for generating high-resolution climate fields from coarse low-resolution variables. Nevertheless, their ability to generalize to climate…

Machine Learning · Computer Science 2023-05-03 Jose González-Abad , Jorge Baño-Medina

In this paper, we introduce a probabilistic approach to risk assessment of robot systems by focusing on the impact of uncertainties. While various approaches to identifying systematic hazards (e.g., bugs, design flaws, etc.) can be found in…

Robotics · Computer Science 2024-10-28 Woo-Jeong Baek , Tom P. Huck , Joschka Haas , Jonas Lewandrowski , Tamim Asfour , Torsten Kröger

In hydrology, modeling streamflow remains a challenging task due to the limited availability of basin characteristics information such as soil geology and geomorphology. These characteristics may be noisy due to measurement errors or may be…

Deep learning-based support systems have demonstrated encouraging results in numerous clinical applications involving the processing of time series data. While such systems often are very accurate, they have no inherent mechanism for…

Machine Learning · Computer Science 2020-12-16 Kristoffer Wickstrøm , Karl Øyvind Mikalsen , Michael Kampffmeyer , Arthur Revhaug , Robert Jenssen

The key elements of seismic probabilistic risk assessment studies are the fragility curves which express the probabilities of failure of structures conditional to a seismic intensity measure. A multitude of procedures is currently available…

Machine Learning · Statistics 2022-01-17 Clement Gauchy , Cyril Feau , Josselin Garnier
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