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We present an online and data-driven uncertainty quantification method to enable the development of safe human-robot collaboration applications. Safety and risk assessment of systems are strongly correlated with the accuracy of…

机器人学 · 计算机科学 2022-09-02 Woo-Jeong Baek , Christoph Ledermann , Torsten Kröger

The practice of uncertainty quantification (UQ) validation, notably in machine learning for the physico-chemical sciences, rests on several graphical methods (scattering plots, calibration curves, reliability diagrams and confidence curves)…

化学物理 · 物理学 2023-03-31 Pascal Pernot

Reliable uncertainty quantification (UQ) in machine learning (ML) regression tasks is becoming the focus of many studies in materials and chemical science. It is now well understood that average calibration is insufficient, and most studies…

机器学习 · 统计学 2024-01-25 Pascal Pernot

In [Berta 2014 Entanglement], uncertainty relations in the presence of quantum memory was formulated for mutually unbiased bases using conditional collision entropy. In this paper, we generalize their results to the mutually unbiased…

量子物理 · 物理学 2018-10-03 Kun Wang , Nan Wu , Fangmin Song

The comprehensive integration of machine learning healthcare models within clinical practice remains suboptimal, notwithstanding the proliferation of high-performing solutions reported in the literature. A predominant factor hindering…

图像与视频处理 · 电气工程与系统科学 2023-10-12 Ling Huang , Su Ruan , Yucheng Xing , Mengling Feng

Uncertainty quantification (UQ) is an important component of molecular property prediction, particularly for drug discovery applications where model predictions direct experimental design and where unanticipated imprecision wastes valuable…

机器学习 · 计算机科学 2020-05-21 Lior Hirschfeld , Kyle Swanson , Kevin Yang , Regina Barzilay , Connor W. Coley

The original purpose of measurements is to provide us with information about a previously unknown physical property of the system observed. In the Hilbert space formalism of quantum mechanics, this physical meaning of measurement…

量子物理 · 物理学 2007-05-23 Holger F. Hofmann , Takayoshi Kobayashi , Akira Furusawa

Uncertainty quantification for inverse problems in imaging has drawn much attention lately. Existing approaches towards this task define uncertainty regions based on probable values per pixel, while ignoring spatial correlations within the…

计算机视觉与模式识别 · 计算机科学 2024-01-23 Omer Belhasin , Yaniv Romano , Daniel Freedman , Ehud Rivlin , Michael Elad

Uncertainty Quantification (UQ) is pivotal in enhancing the robustness, reliability, and interpretability of Machine Learning (ML) systems for healthcare, optimizing resources and improving patient care. Despite the emergence of ML-based…

The concept of measure synchronization between two coupled quantum many-body systems is presented. In general terms we consider two quantum many-body systems whose dynamics gets coupled through the contact particle-particle interaction.…

量子气体 · 物理学 2014-10-27 Haibo Qiu , Bruno Julia-Diaz , Miguel Angel Garcia-March , Artur Polls

Uncertainty quantification (UQ) is crucial in safety-critical applications such as medical image segmentation. Total uncertainty is typically decomposed into data-related aleatoric uncertainty (AU) and model-related epistemic uncertainty…

Inverse Uncertainty Quantification (UQ), or Bayesian calibration, is the process to quantify the uncertainties of random input parameters based on experimental data. The introduction of model discrepancy term is significant because…

应用统计 · 统计学 2019-07-24 Xu Wu , Koroush Shirvan , Tomasz Kozlowski

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…

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

This article presents an algorithm for reducing measurement uncertainty of one physical quantity when given oversampled measurements of two physical quantities with correlated noise. The algorithm assumes that the aleatoric measurement…

信号处理 · 电气工程与系统科学 2021-11-30 James T. Meech , Phillip Stanley-Marbell

Neural networks (NNs) are currently changing the computational paradigm on how to combine data with mathematical laws in physics and engineering in a profound way, tackling challenging inverse and ill-posed problems not solvable with…

机器学习 · 计算机科学 2023-02-08 Apostolos F Psaros , Xuhui Meng , Zongren Zou , Ling Guo , George Em Karniadakis

Formulating accurate and robust classification strategies is a key challenge of developing diagnostic and antibody tests. Methods that do not explicitly account for disease prevalence and uncertainty therein can lead to significant…

统计方法学 · 统计学 2022-02-01 Paul N. Patrone , Anthony J. Kearsley

Determining the measurement uncertainty region is a difficult problem for generic sets of observables. For this reason the literature on exact measurement uncertainty regions is focused on symmetric sets of observables, where the symmetries…

量子物理 · 物理学 2019-09-12 Oliver Reardon-Smith

We propose a new scheme to express the uncertainty principle in form of inequality of the bipartite correlation functions for a given multipartite state, which provides an experimentally feasible and model-independent way to verify various…

量子物理 · 物理学 2014-03-05 Jun-Li Li , Kun Du , Cong-Feng Qiao

Indirect measurement can be used to read out the outcome of a quantum system without resorting to a straightforward approach, and it is the foundation of the measurement uncertainty relations that explain the incompatibility of conjugate…

量子物理 · 物理学 2022-08-09 Ryo Mihashi , Yoshihiko Hasegawa
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