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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…

Machine Learning · Computer Science 2023-10-25 Kajetan Schweighofer , Lukas Aichberger , Mykyta Ielanskyi , Günter Klambauer , Sepp Hochreiter

Uncertainty quantification (UQ) for foundation models is essential to identify and mitigate potential hallucinations in automatically generated text. However, heuristic UQ approaches lack formal guarantees for key metrics such as the false…

Computation and Language · Computer Science 2025-06-26 Zhiyuan Wang , Jinhao Duan , Qingni Wang , Xiaofeng Zhu , Tianlong Chen , Xiaoshuang Shi , Kaidi Xu

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…

Machine Learning · Computer Science 2024-03-07 Andrew Pensoneault , Xueyu Zhu

Quantifying uncertainty of machine learning model predictions is essential for reliable decision-making, especially in safety-critical applications. Recently, uncertainty quantification (UQ) theory has advanced significantly, building on a…

Machine Learning · Computer Science 2025-10-01 Alexander Fishkov , Kajetan Schweighofer , Mykyta Ielanskyi , Nikita Kotelevskii , Mohsen Guizani , Maxim Panov

Uncertainty quantification (UQ) plays a pivotal role in reduction of uncertainties during both optimization and decision making processes. It can be applied to solve a variety of real-world applications in science and engineering. Bayesian…

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…

Computation and Language · Computer Science 2025-10-16 Mingda Li , Xinyu Li , Weinan Zhang , Longxuan Ma

A wide range of sustainability and grid-integration strategies depend on workload shifting, which aligns the timing of energy consumption with external signals such as grid curtailment events, carbon intensity, or time-of-use electricity…

Data Structures and Algorithms · Computer Science 2025-10-01 Ezra Johnson , Adam Lechowicz , Mohammad Hajiesmaili

As Large Language Models (LLMs) are increasingly deployed in real-world applications, reliable uncertainty quantification (UQ) becomes critical for safe and effective use. Most existing UQ approaches for language models aim to produce a…

Computation and Language · Computer Science 2026-04-14 Maiya Goloburda , Roman Vashurin , Fedor Chernogorsky , Nurkhan Laiyk , Daniil Orel , Preslav Nakov , Maxim Panov

As cloud-based quantum computing expands, securing access to quantum hardware is increasingly critical. We present an authentication protocol that leverages intrinsic quantum device properties to construct Quantum Physical Unclonable…

Quantum Physics · Physics 2025-09-10 Behnam Tonekaboni , Pranav Gokhale , Kaitlin N. Smith

As with many parts of the natural sciences, machine learning interatomic potentials (MLIPs) are revolutionizing the modeling of molecular crystals. However, challenges remain for the accurate and efficient calculation of sublimation…

Computational Physics · Physics 2025-09-03 Flaviano Della Pia , Benjamin X. Shi , Venkat Kapil , Andrea Zen , Dario Alfè , Angelos Michaelides

It is necessary to estimate the expected energy usage of a building to determine how to reduce energy usage. The expected energy usage of a building can be reliably simulated using a Building Energy Model (BEM). Many of the numerous input…

Computational Engineering, Finance, and Science · Computer Science 2020-04-21 Arpan Mukherjee , Anna Kuechle Szweda , Andrew Alegria , Rahul Rai , Tarunraj Singh

This paper explores uncertainty quantification (UQ) methods in the context of Kolmogorov-Arnold Networks (KANs). We apply an ensemble approach to KANs to obtain a heuristic measure of UQ, enhancing interpretability and robustness in…

Machine Learning · Computer Science 2025-04-22 Amirhossein Mollaali , Christian Bolivar Moya , Amanda A. Howard , Alexander Heinlein , Panos Stinis , Guang Lin

Computational quantum chemistry plays a critical role in drug discovery, chemical synthesis, and materials science. While first-principles methods, such as density functional theory (DFT), provide high accuracy in modeling electronic…

Quantum entanglement is so fundamentally different from a network packet that several quantum network stacks have been proposed; one of which has even been experimentally demonstrated. Several simulators have also been developed to make up…

Networking and Internet Architecture · Computer Science 2024-06-24 Wojciech Kozlowski , Fernando A. Kuipers , Rob Smets , Belma Turkovic

Effective Uncertainty Quantification (UQ) represents a key aspect for reliable deployment of Large Language Models (LLMs) in automated decision-making and beyond. Yet, for LLM generation with multiple choice structure, the state-of-the-art…

Machine Learning · Computer Science 2025-11-18 Ramzi Dakhmouche , Adrien Letellier , Hossein Gorji

Mathematical models are essential tools to study how the cardiovascular system maintains homeostasis. The utility of such models is limited by the accuracy of their predictions, which can be determined by uncertainty quantification (UQ). A…

Quantitative Methods · Quantitative Biology 2018-07-20 Andrew D. Marquis , Andrea Arnold , Caron Dean , Brian E. Carlson , Mette S. Olufsen

The hybrid neural differentiable models mark a significant advancement in the field of scientific machine learning. These models, integrating numerical representations of known physics into deep neural networks, offer enhanced predictive…

Machine Learning · Computer Science 2024-01-02 Deepak Akhare , Tengfei Luo , Jian-Xun Wang

This paper explores Uncertainty Quantification (UQ) in SVM predictions, particularly for regression and forecasting tasks. Unlike the Neural Network, the SVM solutions are typically more stable, sparse, optimal and interpretable. However,…

Machine Learning · Statistics 2025-05-22 Pritam Anand

In nuclear reactor system design and safety analysis, the Best Estimate plus Uncertainty (BEPU) methodology requires that computer model output uncertainties must be quantified in order to prove that the investigated design stays within…

Computation · Statistics 2018-06-22 Xu Wu , Tomasz Kozlowski , Hadi Meidani , Koroush Shirvan

Inverse Uncertainty Quantification (IUQ) method has been widely used to quantify the uncertainty of Physical Model Parameters (PMPs) in nuclear Thermal Hydraulics (TH) systems. This paper introduces a novel hierarchical Bayesian model which…

Computation · Statistics 2024-03-27 Chen Wang , Xu Wu , Tomasz Kozlowski
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