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Bayesian analysis is a framework for parameter estimation that applies even in uncertainty regimes where the commonly used local (frequentist) analysis based on the Cram\'er-Rao bound is not well defined. In particular, it applies when no…

量子物理 · 物理学 2021-03-17 Simon Morelli , Ayaka Usui , Elizabeth Agudelo , Nicolai Friis

Winter conditions, characterized by the presence of ice and snow on the ground, are more likely to lead to road accidents. This paper presents an experimental proof of concept, with a 1/5th scale car platform, of a maneuver selection scheme…

机器人学 · 计算机科学 2024-05-24 Olivier Lecompte , William Therrien , Alexandre Girard

Uncertainty in state or model parameters is common in robotics and typically handled by acquiring system measurements that yield information about the uncertain quantities of interest. Inputs to a nonlinear dynamical system yield outcomes…

机器人学 · 计算机科学 2023-08-04 Parker Ewen , Gitesh Gunjal , Joey Wilson , Jinsun Liu , Challen Enninful Adu , Ram Vasudevan

Semiconductor device models are essential to understand the charge transport in thin film transistors (TFTs). Using these TFT models to draw inference involves estimating parameters used to fit to the experimental data. These experimental…

机器学习 · 计算机科学 2021-11-29 Neel Chatterjee , Somya Sharma , Sarah Swisher , Snigdhansu Chatterjee

Accurate estimation of the tire slip ratio is critical for vehicle safety, as it is necessary for vehicle control purposes. In this paper, an intelligent tire system is presented to develop a novel slip ratio estimation model using machine…

机器学习 · 计算机科学 2022-01-25 Nan Xu , Zepeng Tang , Hassan Askari , Jianfeng Zhou , Amir Khajepour

Roughness parameters that characterize contacting surfaces with regard to friction and wear are commonly stated without uncertainties, or with an uncertainty only taking into account a very limited amount of aspects such as repeatability of…

数据分析、统计与概率 · 物理学 2016-07-20 Dorothee Hüser , Jonathan Hüser , Sebastian Rief , Jörg Seewig , Peter Thomsen-Schmidt

In the framework of BEPU (Best Estimate plus Uncertainty) methodology, the uncertainties involved in the simulations must be quantified to prove that the investigated design is acceptable. The output uncertainties are usually calculated by…

应用统计 · 统计学 2024-04-09 Chen Wang

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

统计方法学 · 统计学 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa

We address the problem of estimating the uncertainty in the solution of power grid inverse problems within the framework of Bayesian inference. We investigate two approaches, an adjoint-based method and a stochastic spectral method. These…

最优化与控制 · 数学 2016-02-15 Noemi Petra , Cosmin G. Petra , Zheng Zhang , Emil M. Constantinescu , Mihai Anitescu

Dynamical system state estimation and parameter calibration problems are ubiquitous across science and engineering. Bayesian approaches to the problem are the gold standard as they allow for the quantification of uncertainties and enable…

数据分析、统计与概率 · 物理学 2024-11-12 Kairui Hao , Ilias Bilionis

Parameter estimation is crucial for modeling, tracking, and control of complex dynamical systems. However, parameter uncertainties can compromise system performance under a controller relying on nominal parameter values. Typically,…

机器人学 · 计算机科学 2020-02-20 Mouhyemen Khan , Abhijit Chatterjee

Reliable models of the thermodynamic properties of materials are critical for industrially relevant applications that require a good understanding of equilibrium phase diagrams, thermal and chemical transport, and microstructure evolution.…

材料科学 · 物理学 2018-09-21 Noah H. Paulson , Elise Jennings , Marius Stan

The present paper proposes a Bayesian framework for inverse problems that seamlessly integrates optimization and inversion to enable rapid surrogate modeling, accurate parameter inference, and rigorous uncertainty quantification. Bayesian…

计算工程、金融与科学 · 计算机科学 2026-02-05 Mihaela Chiappetta , Massimo Carraturo , Alexander Raßloff , Markus Kästner , Ferdinando Auricchio

We focus on improving the accuracy of an approximate model of a multiscale dynamical system that uses a set of parameter-dependent terms to account for the effects of unresolved or neglected dynamics on resolved scales. We start by…

计算物理 · 物理学 2019-06-26 Balasubramanya T. Nadiga , Chiyu Jiang , Daniel Livescu

An understanding of how input parameter uncertainty in the numerical simulation of physical models leads to simulation output uncertainty is a challenging task. Common methods for quantifying output uncertainty, such as performing a grid or…

材料科学 · 物理学 2023-09-25 Samuel G. McCallum , James E. Lerpiniére , Kjeld O. Jensen , Alison B. Walker

Robotic algorithms typically depend on various parameters, the choice of which significantly affects the robot's performance. While an initial guess for the parameters may be obtained from dynamic models of the robot, parameters are usually…

机器人学 · 计算机科学 2020-04-08 Felix Berkenkamp , Andreas Krause , Angela P. Schoellig

We develop a new method for stochastic optimization using the Bayesian statistics approach. More precisely, we optimize parameters of chess engines as those data are available to us, but the method should apply to all situations where we…

最优化与控制 · 数学 2022-07-06 Ivan Ivec , Ivana Vojnović

Terrain elevation modeling for off-road navigation aims to accurately estimate changes in terrain geometry in real-time and quantify the corresponding uncertainties. Having precise estimations and uncertainties plays a crucial role in…

机器人学 · 计算机科学 2025-08-11 Sanghun Jung , Daehoon Gwak , Byron Boots , James Hays

Optimum parameter estimation methods require knowledge of a parametric probability density that statistically describes the available observations. In this work we examine Bayesian and non-Bayesian parameter estimation problems under a…

应用统计 · 统计学 2022-02-01 George V. Moustakides

The performances of braking control systems for robotic platforms, e.g., assisted and autonomous vehicles, airplanes and drones, are deeply influenced by the road-tire friction experienced during the maneuver. Therefore, the availability of…

机器人学 · 计算机科学 2022-11-07 F. Crocetti , G. Costante , M. L. Fravolini , P. Valigi