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Explanation methods help understand the reasons for a model's prediction. These methods are increasingly involved in model debugging, performance optimization, and gaining insights into the workings of a model. With such critical…

机器学习 · 计算机科学 2025-04-16 Mihir Mulye , Matias Valdenegro-Toro

We present a "module-based hybrid" Uncertainty Quantification (UQ) framework for general nonlinear multi-physics simulation. The proposed methodology, introduced in [\hyperlink{ref1}{1}], supports the independent development of each…

计算物理 · 物理学 2014-10-21 Akshay Mittal , Xiao Chen , Charles Tong , Gianluca Iaccarino

Uncertainty propagation in non-linear dynamical systems has become a key problem in various fields including control theory and machine learning. In this work we focus on discrete-time non-linear stochastic dynamical systems. We present a…

系统与控制 · 电气工程与系统科学 2024-09-12 Eduardo Figueiredo , Andrea Patane , Morteza Lahijanian , Luca Laurenti

We present a new method for uncertainty estimation and out-of-distribution detection in neural networks with softmax output. We extend softmax layer with an additional constant input. The corresponding additional output is able to represent…

机器学习 · 计算机科学 2019-04-09 Marcin Możejko , Mateusz Susik , Rafał Karczewski

Uncertainty quantification (UQ) has increasing importance in building robust high-performance and generalizable materials property prediction models. It can also be used in active learning to train better models by focusing on getting new…

材料科学 · 物理学 2022-11-14 Daniel Varivoda , Rongzhi Dong , Sadman Sadeed Omee , Jianjun Hu

In this paper we present a conditional KRnet (cKRnet) based domain decomposed uncertainty quantification (CKR-DDUQ) approach to propagate uncertainties across different physical domains in models governed by partial differential equations…

数值分析 · 数学 2024-11-05 Sen Li , Ke Li , Yu Liu , Qifeng Liao

Uncertainty quantification methods are required in autonomous systems that include deep learning (DL) components to assess the confidence of their estimations. However, to successfully deploy DL components in safety-critical autonomous…

机器人学 · 计算机科学 2021-11-02 Fabio Arnez , Huascar Espinoza , Ansgar Radermacher , François Terrier

Uncertainty quantification is a critical yet unsolved challenge for deep learning, especially for the time series imputation with irregularly sampled measurements. To tackle this problem, we propose a novel framework based on the principles…

机器学习 · 计算机科学 2023-06-05 Shweta Dahale , Sai Munikoti , Balasubramaniam Natarajan

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…

Quantification of uncertainty in production/injection forecasting is an important aspect of reservoir simulation studies. Conventional approaches include intrusive Galerkin-based methods (e.g., generalized polynomial chaos (gPC) and…

最优化与控制 · 数学 2019-07-02 Larry Jin , Hannah Lu , Gege Wen

In this paper, we address the problem of uncertainty propagation through nonlinear stochastic dynamical systems. More precisely, given a discrete-time continuous-state probabilistic nonlinear dynamical system, we aim at finding the sequence…

系统与控制 · 电气工程与系统科学 2021-02-01 Ashkan Jasour , Allen Wang , Brian C. Williams

Multivariate Hawkes processes are commonly used to model streaming networked event data in a wide variety of applications. However, it remains a challenge to extract reliable inference from complex datasets with uncertainty quantification.…

机器学习 · 统计学 2020-10-29 Haoyun Wang , Liyan Xie , Alex Cuozzo , Simon Mak , Yao Xie

This paper addresses uncertainty quantification (UQ) for problems where scalar (or low-dimensional vector) response quantities are insufficient and, instead, full-field (very high-dimensional) responses are of interest. To do so, an…

概率论 · 数学 2018-04-18 D. G Giovanis , M. D. Shields

We propose a novel framework for uncertainty quantification via information bottleneck (IB-UQ) for scientific machine learning tasks, including deep neural network (DNN) regression and neural operator learning (DeepONet). Specifically, we…

数值分析 · 数学 2023-05-31 Ling Guo , Hao Wu , Wenwen Zhou , Yan Wang , Tao Zhou

Existing methods for quantifying predictive uncertainty in neural networks are either computationally intractable for large language models or require access to training data that is typically unavailable. We derive a lightweight…

机器学习 · 计算机科学 2026-04-01 Nils Grünefeld , Jes Frellsen , Christian Hardmeier

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

Uncertainty quantification of neural networks is critical to measuring the reliability and robustness of deep learning systems. However, this often involves costly or inaccurate sampling methods and approximations. This paper presents a…

机器学习 · 计算机科学 2024-03-26 Oren Wright , Yorie Nakahira , José M. F. Moura

This paper presents a data-driven framework for uncertainty propagation under unmeasured or statistically unmodeled (unstructured) disturbances. We consider residual disturbances, which consolidate all unstructured disturbances into a…

系统与控制 · 电气工程与系统科学 2026-05-18 Guanru Pan , Dirk Reinhardt , Sebastien Gros , Timm Faulwasser

Uncertainty Quantification (UQ) is an essential step in computational model validation because assessment of the model accuracy requires a concrete, quantifiable measure of uncertainty in the model predictions. The concept of UQ in the…

应用统计 · 统计学 2023-03-24 Xu Wu , Ziyu Xie , Farah Alsafadi , Tomasz Kozlowski

We propose a feed-forward inference method applicable to belief and neural networks. In a belief network, the method estimates an approximate factorized posterior of all hidden units given the input. In neural networks the method propagates…

机器学习 · 统计学 2018-11-02 Alexander Shekhovtsov , Boris Flach , Michal Busta