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The multivariate adaptive regression spline (MARS) approach of Friedman (1991) and its Bayesian counterpart (Francom et al. 2018) are effective approaches for the emulation of computer models. The traditional assumption of Gaussian errors…

统计方法学 · 统计学 2024-07-23 Kellin Rumsey , Devin Francom , Andy Shen

Data-informed predictive maintenance planning largely relies on stochastic deterioration models. Monitoring information can be utilized to update sequentially the knowledge on time-invariant deterioration model parameters either within an…

统计计算 · 统计学 2023-08-02 Antonios Kamariotis , Luca Sardi , Iason Papaioannou , Eleni Chatzi , Daniel Straub

The complex and computationally expensive nature of landscape evolution models pose significant challenges in the inference and optimisation of unknown parameters. Bayesian inference provides a methodology for estimation and uncertainty…

机器学习 · 统计学 2020-06-30 Rohitash Chandra , Danial Azam , Arpit Kapoor , R. Dietmar Müller

Slope movements (e.g. landslides) are dynamic systems that are complex in time and space and closely linked to both inherited and current preparatory and triggering controls. It is not yet possible to assess in all cases conditions for…

地球物理 · 物理学 2007-09-18 Theo Van Asch , Jean-Philippe Malet , Ludovicus Van Beek , David Amitrano

In this paper, we extend and analyze a Bayesian hierarchical spatio-temporal model for physical systems. A novelty is to model the discrepancy between the output of a computer simulator for a physical process and the actual process values…

Computer models are widely used in decision support for energy systems operation, planning and policy. A system of models is often employed, where model inputs themselves arise from other computer models, with each model being developed by…

In this paper we model the loss function of high-dimensional optimization problems by a Gaussian random field, or equivalently a Gaussian process. Our aim is to study gradient descent in such loss functions or energy landscapes and compare…

机器学习 · 统计学 2018-03-28 Mariano Chouza , Stephen Roberts , Stefan Zohren

Wideband channel estimation (CE) in high-mobility scenarios remains challenging because channel responses vary rapidly, while practical systems can allocate only sparse pilots to accommodate dense users. Fortunately, many high-mobility…

信息论 · 计算机科学 2026-05-18 Yumeng Zhang , Jiajia Guo , Chaozheng Wen , Chenghong Bian , Jun Zhang

Fitting statistical models to spatiotemporal data requires finding the right balance between imposing smoothness and following the data. In the context of p-splines, we propose a Bayesian framework for choosing the smoothing parameter which…

应用统计 · 统计学 2013-10-30 A. W. Bowman , L. Evers , D. Molinari , W. R. Jones , M. J. Spence

A Bayesian approach to nonlinear inverse problems is considered where the unknown quantity (input) is a random spatial field. The forward model is complex and non-linear, therefore computationally expensive. An emulator-based methodology is…

应用统计 · 统计学 2021-05-11 Anirban Mondal , Bani Mallick

As in many fields of dynamic modeling, the long runtime of hydrological models hinders Bayesian inference of model parameters from data. By replacing a model with an approximation of its output as a function of input and/or parameters,…

统计方法学 · 统计学 2019-10-09 David Machac , Peter Reichert , Jörg Rieckermann , Dario Del Giudice , Carlo Albert

Automated chemical synthesis, materials fabrication, and spectroscopic physical measurements often bring forth the challenge of process trajectory optimization, i.e., discovering the time dependence of temperature, electric field, or…

无序系统与神经网络 · 物理学 2022-06-28 Mani Valleti , Rama K. Vasudevan , Maxim A. Ziatdinov , Sergei V. Kalinin

This paper addresses the computational challenges in reliability-based topology optimization (RBTO) of structures associated with the estimation of statistics of the objective and constraints using standard sampling methods, and overcomes…

最优化与控制 · 数学 2021-07-27 Subhayan De , Kurt Maute , Alireza Doostan

With extreme weather events becoming more common, the risk posed by surface water flooding is ever increasing. In this work we propose a model, and associated Bayesian inference scheme, for generating probabilistic (high-resolution…

Gaussian process emulators of computationally expensive computer codes provide fast statistical approximations to model physical processes. The training of these surrogates depends on the set of design points chosen to run the simulator.…

统计计算 · 统计学 2016-08-16 A. Garbuno-Inigo , F. A. DiazDelaO , K. M. Zuev

We introduce a GPU-accelerated simulation tool, named Modeling on Shallow Flows with Efficient Simulation for Two-Phase Debris Flows (MoSES_2PDF), of which the input and output data can be linked to the GIS system for engineering…

计算工程、金融与科学 · 计算机科学 2021-04-15 Chi-Jyun Ko , Po-Chih Chen , Hock-Kiet Wong , Yih-Chin Tai

Computer models (simulators) are vital tools for investigating physical processes. Despite their utility, the prohibitive run-time of simulators hinders their direct application for uncertainty quantification. Gaussian process emulators…

统计计算 · 统计学 2024-11-25 Conor Crilly , Oliver Johnson , Alexander Lewis , Jonathan Rougier

Deep geological repositories are critical for the long-term storage of hazardous materials, where understanding the mechanical behavior of emplacement drifts is essential for safety assurance. This study presents a surrogate modeling…

Despite the advantages of using biodegradable metals in implant design, their uncontrolled degradation and release remain a challenge in practical applications. A validated computational model of the degradation process can facilitate the…

计算工程、金融与科学 · 计算机科学 2021-07-28 Mojtaba Barzegari , Di Mei , Sviatlana V. Lamaka , Liesbet Geris

In outdoor environments, mobile robots are required to navigate through terrain with varying characteristics, some of which might significantly affect the integrity of the platform. Ideally, the robot should be able to identify areas that…

机器人学 · 计算机科学 2018-02-20 Rafael Oliveira , Lionel Ott , Vitor Guizilini , Fabio Ramos