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In this paper, we adopt conformal prediction, a distribution-free uncertainty quantification (UQ) framework, to obtain confidence prediction intervals with coverage guarantees for Deep Operator Network (DeepONet) regression. Initially, we…

机器学习 · 计算机科学 2024-02-26 Christian Moya , Amirhossein Mollaali , Zecheng Zhang , Lu Lu , Guang Lin

Operator learning enables fast surrogate modeling of high-dimensional dynamical systems, but existing approaches face two fundamental limitations: quadratic inference complexity and unreliable uncertainty quantification in safety-critical…

机器学习 · 计算机科学 2026-05-04 Purav Matlia , Christian Moya , Guang Lin

Uncertainty quantification (UQ) is important for reliability assessment and enhancement of machine learning models. In deep learning, uncertainties arise not only from data, but also from the training procedure that often injects…

机器学习 · 统计学 2023-11-13 Ziyi Huang , Henry Lam , Haofeng Zhang

This paper proposes a new data-driven method for the reliable prediction of power system post-fault trajectories. The proposed method is based on the fundamentally new concept of Deep Operator Networks (DeepONets). Compared to traditional…

数值分析 · 数学 2022-02-16 Christian Moya , Shiqi Zhang , Meng Yue , Guang Lin

Dealing with uncertainty is essential for efficient reinforcement learning. There is a growing literature on uncertainty estimation for deep learning from fixed datasets, but many of the most popular approaches are poorly-suited to…

机器学习 · 统计学 2018-11-16 Ian Osband , John Aslanides , Albin Cassirer

Learning operators from data is central to scientific machine learning. While DeepONets are widely used for their ability to handle complex domains, they require fixed sensor numbers and locations, lack mechanisms for uncertainty…

机器学习 · 计算机科学 2026-05-12 Lei Ma , Ling Guo , Hao Wu , Tao Zhou

While neural networks have demonstrated impressive performance across various tasks, accurately quantifying uncertainty in their predictions is essential to ensure their trustworthiness and enable widespread adoption in critical systems.…

机器学习 · 统计学 2025-11-11 Joseph Wilson , Chris van der Heide , Liam Hodgkinson , Fred Roosta

With the increased prevalence of neural operators being used to provide rapid solutions to partial differential equations (PDEs), understanding the accuracy of model predictions and the associated error levels is necessary for deploying…

机器学习 · 计算机科学 2026-02-26 Nick Winovich , Mitchell Daneker , Lu Lu , Guang Lin

Deep neural networks (NNs) are powerful black box predictors that have recently achieved impressive performance on a wide spectrum of tasks. Quantifying predictive uncertainty in NNs is a challenging and yet unsolved problem. Bayesian NNs,…

机器学习 · 统计学 2017-11-07 Balaji Lakshminarayanan , Alexander Pritzel , Charles Blundell

Estimating how uncertain an AI system is in its predictions is important to improve the safety of such systems. Uncertainty in predictive can result from uncertainty in model parameters, irreducible data uncertainty and uncertainty due to…

机器学习 · 统计学 2018-12-03 Andrey Malinin , Mark Gales

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

Uncertainty quantification is an important and challenging problem in deep learning. Previous methods rely on dropout layers which are not present in modern deep architectures or batch normalization which is sensitive to batch sizes. In…

计算机视觉与模式识别 · 计算机科学 2020-07-10 Lukasz Wandzik , Raul Vicente Garcia , Jörg Krüger

Uncertainty quantification (UQ) in deep learning regression is of wide interest, as it supports critical applications including sequential decision making and risk-sensitive tasks. In heteroskedastic regression, where the uncertainty of the…

OOD detection has become more pertinent with advances in network design and increased task complexity. Identifying which parts of the data a given network is misclassifying has become as valuable as the network's overall performance. We can…

计算机视觉与模式识别 · 计算机科学 2024-03-05 Rishi Singhal , Srinath Srinivasan

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…

机器学习 · 计算机科学 2023-02-21 Romit Maulik , Romain Egele , Krishnan Raghavan , Prasanna Balaprakash

Effective quantification of uncertainty is an essential and still missing step towards a greater adoption of deep-learning approaches in different applications, including mission-critical ones. In particular, investigations on the…

机器学习 · 计算机科学 2023-04-14 Marco Forgione , Dario Piga

Deep learning has been shown to be highly effective for automatic modulation classification (AMC), which is a pivotal technology for next-generation cognitive communications. Yet, existing deep learning methods for AMC often lack robust…

信号处理 · 电气工程与系统科学 2025-12-03 Huian Yang , Rajeev Sahay

In recent years, operator learning, particularly the DeepONet, has received much attention for efficiently learning complex mappings between input and output functions across diverse fields. However, in practical scenarios with limited and…

机器学习 · 计算机科学 2024-03-07 Andrew Pensoneault , Xueyu Zhu

Deep learning has emerged as a promising paradigm to give access to highly accurate predictions of molecular and materials properties. A common short-coming shared by current approaches, however, is that neural networks only give point…

计算物理 · 物理学 2023-05-10 Albert Zhu , Simon Batzner , Albert Musaelian , Boris Kozinsky

Existing methods for estimating uncertainty in deep learning tend to require multiple forward passes, making them unsuitable for applications where computational resources are limited. To solve this, we perform probabilistic reasoning over…

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