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相关论文: Efficient Nonlinear Uncertainty Quantification for…

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Researchers have proposed several approaches for neural network (NN) based uncertainty quantification (UQ). However, most of the approaches are developed considering strong assumptions. Uncertainty quantification algorithms often perform…

This paper introduces a novel and scalable framework for uncertainty estimation and separation with applications in data driven modeling in science and engineering tasks where reliable uncertainty quantification is critical. Leveraging an…

机器学习 · 计算机科学 2024-12-19 Navid Ansari , Hans-Peter Seidel , Vahid Babaei

The Best Estimate plus Uncertainty (BEPU) approach for nuclear systems modeling and simulation requires that the prediction uncertainty must be quantified in order to prove that the investigated design stays within acceptance criteria. A…

统计计算 · 统计学 2023-03-24 Ziyu Xie , Farah Alsafadi , Xu Wu

Uncertainties from model parameters and model discrepancy from small-scale models impact the accuracy and reliability of predictions of large-scale systems. Inadequate representation of these uncertainties may result in inaccurate and…

统计方法学 · 统计学 2014-12-18 K. Sham Bhat , David S. Mebane , Curtis B. Storlie , Priyadarshi Mahapatra

The calibration of rheological parameters in the modeling of complex flows of non-Newtonian fluids can be a daunting task. In this paper we demonstrate how the framework of Uncertainty Quantification (UQ) can be used to improve the…

流体动力学 · 物理学 2023-07-11 Aricia Rinkens , Clemens V. Verhoosel , Nick O. Jaensson

Calibrating a Reynolds-averaged Navier-Stokes (RANS) model against data leads to an improvement. Determining {\it a priori} if such an improvement generalizes to flows outside the calibration data is an outstanding challenge. This work…

流体动力学 · 物理学 2023-03-07 Xinyi Huang , Naman Jain , Mahdi Abkar , Robert Kunz , Xiang Yang

Model updating of engineering systems inevitably involves handling both aleatory or inherent randomness and epistemic uncertainties or uncertainities arising from a lack of knowledge or information about the system. Addressing these…

应用统计 · 统计学 2025-05-27 Sangwon Lee , Taro Yaoyama , Masaru Kitahara , Tatsuya Itoi

Uncertainty Quantification (UQ) is a promising approach to improve model reliability, yet quantifying the uncertainty of Large Language Models (LLMs) is non-trivial. In this work, we establish a connection between the uncertainty of LLMs…

计算与语言 · 计算机科学 2025-10-16 Mingda Li , Xinyu Li , Weinan Zhang , Longxuan Ma

Existing work in scientific machine learning (SciML) has shown that data-driven learning of solution operators can provide a fast approximate alternative to classical numerical partial differential equation (PDE) solvers. Of these, Neural…

Uncertainty quantification has emerged as an effective approach to closed-book hallucination detection for LLMs, but existing methods are largely designed for short-form outputs and do not generalize well to long-form generation. We…

计算与语言 · 计算机科学 2026-02-20 Dylan Bouchard , Mohit Singh Chauhan , Viren Bajaj , David Skarbrevik

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

We describe a method for the numerical solution of the relativistic Euler equations which we have found to be both robust and efficient, and which has enabled us to simulate relativistic jets. The technique employs a solver of the…

天体物理学 · 物理学 2007-05-23 G. Comer Duncan , Philip A. Hughes

Uncertainty Quantification (UQ) is crucial for ensuring the reliability of automated image segmentations in safety-critical domains like biomedical image analysis or autonomous driving. In segmentation, UQ generates pixel-wise uncertainty…

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

Accurately quantifying a large language model's (LLM) predictive uncertainty is crucial for judging the reliability of its answers. While most existing research focuses on short, directly answerable questions with closed-form outputs (e.g.,…

计算与语言 · 计算机科学 2025-08-08 Yinghao Li , Rushi Qiang , Lama Moukheiber , Chao Zhang

Recent performance breakthroughs in Artificial intelligence (AI) and Machine learning (ML), especially advances in Deep learning (DL), the availability of powerful, easy-to-use ML libraries (e.g., scikit-learn, TensorFlow, PyTorch.), and…

机器学习 · 计算机科学 2023-03-24 Mahmoud Yaseen , Xu Wu

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

Quality-Diversity optimisation (QD) has proven to yield promising results across a broad set of applications. However, QD approaches struggle in the presence of uncertainty in the environment, as it impacts their ability to quantify the…

神经与进化计算 · 计算机科学 2023-03-28 Manon Flageat , Antoine Cully

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

Machine learning (ML) has been leveraged to tackle a diverse range of tasks in almost all branches of nuclear engineering. Many of the successes in ML applications can be attributed to the recent performance breakthroughs in deep learning,…

系统与控制 · 电气工程与系统科学 2025-03-25 Xu Wu , Lesego E. Moloko , Pavel M. Bokov , Gregory K. Delipei , Joshua Kaizer , Kostadin N. Ivanov