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Model Updating is frequently used in Structural Health Monitoring to determine structures' operating conditions and whether maintenance is required. Data collected by sensors are used to update the values of some initially unknown…

统计计算 · 统计学 2024-01-23 Felipe Igea , Alice Cicirello

Even though atomistic and coarse-grained (CG) models have been used to simulate liquid nanodroplets in vapor, very few rigorous studies of the liquid-liquid interface structure are available, and most of them are limited to planar…

化学物理 · 物理学 2019-07-16 Peiyuan Gao , Xiu Yang , Alexandre M. Tartakovsky

Molecular discovery within the vast chemical space remains a significant challenge due to the immense number of possible molecules and limited scalability of conventional screening methods. To approach chemical space exploration more…

化学物理 · 物理学 2025-07-16 Luis J. Walter , Tristan Bereau

Functional data analysis, which models data as realizations of random functions over a continuum, has emerged as a useful tool for time series data. Often, the goal is to infer the dynamic connections (or time-varying conditional…

统计方法学 · 统计学 2024-12-10 Chunshan Liu , Daniel R. Kowal , James Doss-Gollin , Marina Vannucci

This work presents a novel framework governing the development of an efficient, accurate, and transferable coarse-grained (CG) model of a polyether material. The proposed framework combines the two fundamentally different classical…

Statistical models are an essential tool to model, forecast and understand the hydrological processes in watersheds. In particular, the understanding of time lags associated with the delay between rainfall occurrence and subsequent changes…

Using coarse grained models we investigate the behavior of water adjacent to an extended hydrophobic surface peppered with various fractions of hydrophilic patches of different sizes. We study the spatial dependence of the mean interface…

统计力学 · 物理学 2014-09-09 Adam P. Willard , David Chandler

Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

统计方法学 · 统计学 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

Hydroclimatic processes are characterized by heterogeneous spatiotemporal correlation structures and marginal distributions that can be continuous, mixed-type, discrete or even binary. Simulating exactly such processes can greatly improve…

统计方法学 · 统计学 2017-07-24 Simon Michael Papalexiou

Predictive dynamical models for marine ecosystems are used for a variety of needs. Due to sparse measurements and limited understanding of the myriad of ocean processes, there is however significant uncertainty. There is model uncertainty…

计算工程、金融与科学 · 计算机科学 2023-06-06 Abhinav Gupta , Pierre F. J. Lermusiaux

Gaussian graphical models are a popular tool to learn the dependence structure in the form of a graph among variables of interest. Bayesian methods have gained in popularity in the last two decades due to their ability to simultaneously…

统计理论 · 数学 2019-04-02 Yabo Niu , Debdeep Pati , Bani Mallick

We propose a degree-based coarse graining approach that not just accelerates the evaluation of dynamics on complex networks, but also satisfies the consistency conditions for both equilibrium statistical distributions and nonequilibrium…

统计力学 · 物理学 2010-08-06 Hanshuang Chen , Zhonghuai Hou , Houwen Xin , YiJing Yan

A Bayesian approach to conduct network model selection is presented for a general class of network models referred to as the congruence class models (CCMs). CCMs form a broad class that includes as special cases several common network…

应用统计 · 统计学 2020-01-22 Ravi Goyal , Victor De Gruttola

The Bayesian Conjugate Gradient method (BayesCG) is a probabilistic generalization of the Conjugate Gradient method (CG) for solving linear systems with real symmetric positive definite coefficient matrices. Our CG-based implementation of…

数值分析 · 数学 2022-10-04 Tim W. Reid , Ilse C. F. Ipsen , Jon Cockayne , Chris J. Oates

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

Small-scale features of shallow water flow obtained from direct numerical simulation (DNS) with two different computational codes for the shallow water equations are gathered offline and subsequently employed with the aim of constructing a…

流体动力学 · 物理学 2022-02-24 Sagy Ephrati , Erwin Luesink , Golo Wimmer , Paolo Cifani , Bernard Geurts

We present a hybrid continuum-atomistic scheme which combines molecular dynamics (MD) simulations with on-the-fly machine learning techniques for the accurate and efficient prediction of multiscale fluidic systems. By using a Gaussian…

流体动力学 · 物理学 2016-03-16 David Stephenson , James R Kermode , Duncan A Lockerby

Mathematical models implemented on a computer have become the driving force behind the acceleration of the cycle of scientific processes. This is because computer models are typically much faster and economical to run than physical…

统计计算 · 统计学 2021-07-05 Vojtech Kejzlar , Mookyong Son , Shrijita Bhattacharya , Tapabrata Maiti

The problem of validating or criticising models for georeferenced data is challenging, since the conclusions can vary significantly depending on the locations of the validation set. This work proposes the use of cross-validation techniques…

统计计算 · 统计学 2018-02-19 Viviana G R Lobo , Thaís C O da Fonseca , Fernando A S Moura

Generic coarse-grained models are designed such that they are (i) simple and (ii) computationally efficient. They do not aim at representing particular materials, but classes of materials, hence they can offer insight into universal…

软凝聚态物质 · 物理学 2009-02-25 Friederike Schmid