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The last decade has seen the success of stochastic parameterizations in short-term, medium-range and seasonal forecasts: operational weather centers now routinely use stochastic parameterization schemes to better represent model inadequacy…

Climate models are generally calibrated manually by comparing selected climate statistics, such as the global top-of-atmosphere energy balance, to observations. The manual tuning only targets a limited subset of observational data and…

大气与海洋物理 · 物理学 2022-04-06 Michael F. Howland , Oliver R. A. Dunbar , Tapio Schneider

Complex numerical weather prediction models incorporate a variety of physical processes, each described by multiple alternative physical schemes with specific parameters. The selection of the physical schemes and the choice of the…

数值分析 · 计算机科学 2018-02-23 Azam Moosavi , Vishwas Rao , Adrian Sandu

Optical flow estimation can be formulated as an end-to-end supervised learning problem, which yields estimates with a superior accuracy-runtime tradeoff compared to alternative methodology. In this paper, we make such networks estimate…

计算机视觉与模式识别 · 计算机科学 2018-12-21 Eddy Ilg , Özgün Çiçek , Silvio Galesso , Aaron Klein , Osama Makansi , Frank Hutter , Thomas Brox

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…

计算物理 · 物理学 2016-04-15 Daniele Bigoni , Allan P. Engsig-Karup , Claes Eskilsson

Modern weather forecast models perform uncertainty quantification using ensemble prediction systems, which collect nonparametric statistics based on multiple perturbed simulations. To provide accurate estimation, dozens of such…

机器学习 · 计算机科学 2019-12-06 Peter Grönquist , Tal Ben-Nun , Nikoli Dryden , Peter Dueben , Luca Lavarini , Shigang Li , Torsten Hoefler

In this paper, we develop a machine learning-based Bayesian approach to inversely quantify and reduce the uncertainties of the two-fluid model-based multiphase computational fluid dynamics (MCFD) for bubbly flow simulations. The proposed…

流体动力学 · 物理学 2020-10-22 Yang Liu , Dewei Wang , Xiaodong Sun , Yang Liu , Nam Dinh , Rui Hu

We present a simple comparative framework for testing and developing uncertainty modeling in uncertain marching cubes implementations. The selection of a model to represent the probability distribution of uncertain values directly…

人机交互 · 计算机科学 2024-09-16 Robert Sisneros , Tushar M. Athawale , David Pugmire , Kenneth Moreland

In the context of industrially mass-manufactured products, quality management is based on physically inspecting a small sample from a large batch and reasoning about the batch's quality conformance. When complementing physical inspections…

应用统计 · 统计学 2024-02-22 Simon Cramer , Tobias Müller , Robert H. Schmitt

In computational materials science, mechanical properties are typically extracted from simulations by means of analysis routines that seek to mimic their experimental counterparts. However, simulated data often exhibit uncertainties that…

数据分析、统计与概率 · 物理学 2017-12-07 Paul N. Patrone , Anthony J. Kearsley , Andrew M. Dienstfrey

This paper proposes a physics-guided machine learning approach that combines advanced machine learning models and physics-based models to improve the prediction of water flow and temperature in river networks. We first build a recurrent…

In computational fluid dynamics simulations of industrial flows, models based on the Reynolds-averaged Navier--Stokes (RANS) equations are expected to play an important role in decades to come. However, model uncertainties are still a major…

流体动力学 · 物理学 2018-10-01 Heng Xiao , Paola Cinnella

We introduce an unsupervised formulation to estimate heteroscedastic uncertainty in retrieval systems. We propose an extension to triplet loss that models data uncertainty for each input. Besides improving performance, our formulation…

计算机视觉与模式识别 · 计算机科学 2019-02-08 Ahmed Taha , Yi-Ting Chen , Teruhisa Misu , Abhinav Shrivastava , Larry Davis

Despite of its importance for safe machine learning, uncertainty quantification for neural networks is far from being solved. State-of-the-art approaches to estimate neural uncertainties are often hybrid, combining parametric models with…

机器学习 · 计算机科学 2021-12-03 Joachim Sicking , Maram Akila , Maximilian Pintz , Tim Wirtz , Asja Fischer , Stefan Wrobel

Uncertainty quantification enables users to assess the reliability of responses generated by large language models (LLMs). We present a novel Question Rephrasing technique to evaluate the input uncertainty of LLMs, which refers to the…

计算与语言 · 计算机科学 2024-08-08 Zizhang Chen , Pengyu Hong , Sandeep Madireddy

Quantifying uncertainty is important for actionable predictions in real-world applications. A crucial part of predictive uncertainty quantification is the estimation of epistemic uncertainty, which is defined as an integral of the product…

机器学习 · 计算机科学 2023-10-25 Kajetan Schweighofer , Lukas Aichberger , Mykyta Ielanskyi , Günter Klambauer , Sepp Hochreiter

Quantifying uncertainty in deep regression models is important both for understanding the confidence of the model and for safe decision-making in high-risk domains. Existing approaches that yield prediction intervals overlook distributional…

机器学习 · 计算机科学 2025-12-02 Adriel Sosa Marco , John Daniel Kirwan , Alexia Toumpa , Simos Gerasimou

Modern machine learning methods including deep learning have achieved great success in predictive accuracy for supervised learning tasks, but may still fall short in giving useful estimates of their predictive {\em uncertainty}. Quantifying…

Accurate quantification of model uncertainty has long been recognized as a fundamental requirement for trusted AI. In regression tasks, uncertainty is typically quantified using prediction intervals calibrated to a specific operating point,…

机器学习 · 计算机科学 2021-06-03 Jiri Navratil , Benjamin Elder , Matthew Arnold , Soumya Ghosh , Prasanna Sattigeri

In the presence of modeling errors, the mainstream Bayesian methods seldom give a realistic account of uncertainties as they commonly underestimate the inherent variability of parameters. This problem is not due to any misconception in the…

应用统计 · 统计学 2020-05-19 Omid Sedehi , Costas Papadimitriou , Lambros S. Katafygiotis