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To deploy the airframe digital twin or to conduct probabilistic evaluations of the remaining life of a structural component, a (near) real-time crack-growth simulation method is critical. In this paper, a reduced-order simulation approach…

Applied Physics · Physics 2022-11-14 Xuan Zhou , Shuangxin He , Leiting Dong , Satya N. Atluri

Direct prediction of material properties from microstructures through statistical models has shown to be a potential approach to accelerating computational material design with large design spaces. However, statistical modeling of highly…

Computational Physics · Physics 2017-12-12 Ruijin Cang , Hechao Li , Hope Yao , Yang Jiao , Yi Ren

This paper presents a new adaptive multiscale homogenization scheme for the simulation of damage and fracture in concrete structures. A two-scale homogenization method, coupling meso-scale discrete particle models to macro- scale finite…

Computational Engineering, Finance, and Science · Computer Science 2017-02-03 Roozbeh Rezakhani , Xinwei Zhou , Gianluca Cusatis

Accurately modeling crack propagation is critical for predicting failure in engineering materials and structures, where small cracks can rapidly evolve and cause catastrophic damage. The interaction of cracks with discontinuities, such as…

Machine Learning · Computer Science 2025-09-12 Elham Kiyani , Venkatesh Ananchaperumal , Ahmad Peyvan , Mahendaran Uchimali , Gang Li , George Em Karniadakis

Simple hidden Markov models are proposed for predicting secondary structure of a protein from its amino acid sequence. Since the length of protein conformation segments varies in a narrow range, we ignore the duration effect of length…

Biological Physics · Physics 2007-05-23 Wei-Mou Zheng

In this article, we propose a least squares method for the estimation of the transition density in bifurcating Markov models. Unlike the kernel estimation, this method do not use the quotient which can be a source of errors. In order to…

Methodology · Statistics 2025-09-17 S. Valère Bitseki Penda

In the paper, we study a new rate of convergence estimate for homogeneous discrete-time nonlinear Markov chains based on the Markov-Dobrushin condition. This result generalizes the convergence estimates for any positive number of transition…

Probability · Mathematics 2021-10-22 Aleksandr A. Shchegolev

Deep learning has been a successful model which can effectively represent several features of input space and remarkably improve image recognition performance on the deep architectures. In our research, an adaptive structural learning…

Neural and Evolutionary Computing · Computer Science 2021-10-27 Shin Kamada , Takumi Ichimura

Procedural material models have been gaining traction in many applications thanks to their flexibility, compactness, and easy editability. We explore the inverse rendering problem of procedural material parameter estimation from…

Graphics · Computer Science 2025-04-22 Yu Guo , Milos Hasan , Lingqi Yan , Shuang Zhao

Compared to NDT and health monitoring method for cracks in engineering structures, surface crack detection or identification based on visible light images is non-contact, with the advantages of fast speed, low cost and high precision.…

Computer Vision and Pattern Recognition · Computer Science 2022-11-17 Kailiang Lu

This paper introduces new efficient algorithms for two problems: sampling conditional on vertex degrees in unweighted graphs, and sampling conditional on vertex strengths in weighted graphs. The algorithms can sample conditional on the…

Methodology · Statistics 2018-09-19 James Scott , Axel Gandy

This paper addresses short term forecast of ultra short AR(1) sequences (4 to 6 terms only) with a single structural break at an unknown time and of unknown sign and magnitude. As prediction of autoregressive processes requires estimated…

Methodology · Statistics 2016-09-04 Nikolai Dokuchaev , Lin-Yee Hin

Markov Chain Monte Carlo (MCMC) techniques are now widely used for cosmological parameter estimation. Chains are generated to sample the posterior probability distribution obtained following the Bayesian approach. An important issue is how…

Surface cracks on buildings, natural walls and underground mine tunnels can indicate serious structural integrity issues that threaten the safety of the structure and people in the environment. Timely detection and monitoring of cracks are…

Computer Vision and Pattern Recognition · Computer Science 2021-11-24 Faris Azhari , Charlotte Sennersten , Michael Milford , Thierry Peynot

In the field of transmission electron microscopy, data interpretation often lags behind acquisition methods, as image processing methods often have to be manually tailored to individual datasets. Machine learning offers a promising approach…

Image and Video Processing · Electrical Eng. & Systems 2021-07-07 C. K. Groschner , Christina Choi , M. C. Scott

This paper proposes a quasi-maximum likelihood (QML) estimator for break points in high-dimensional factor models, specifically accounting for multiple structural breaks. We begin by establishing a necessary and sufficient condition to…

Econometrics · Economics 2026-04-20 Jiangtao Duan , Jushan Bai , Xu Han

We develop and test new machine learning strategies for accelerating molecular crystal structure ranking and crystal property prediction using tools from geometric deep learning on molecular graphs. Leveraging developments in graph-based…

Materials Science · Physics 2024-07-29 Michael Kilgour , Jutta Rogal , Mark Tuckerman

We propose Markov two-components processes (M2CP) as a probabilistic model of asynchronous systems based on the trace semantics for concurrency. Considering an asynchronous system distributed over two sites, we introduce concepts and tools…

Systems and Control · Computer Science 2015-07-01 Samy Abbes

Stochastic kriging has been widely employed for simulation metamodeling to predict the response surface of complex simulation models. However, its use is limited to cases where the design space is low-dimensional because, in general, the…

Methodology · Statistics 2022-09-16 Liang Ding , Xiaowei Zhang

Indentation tests are largely exploited in experiments to characterize the mechanical and fracture properties of the materials from the resulting crack patterns. This work proposes an efficient theoretical and computational framework, whose…

Materials Science · Physics 2023-06-26 Maria Rosaria Marulli , Jacopo Bonari , Josè Reinoso , Marco Paggi