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Detecting anomalies and discovering driving signals is an essential component of scientific research and industrial practice. Often the underlying mechanism is highly complex, involving hidden evolving nonlinear dynamics and noise…

Machine Learning · Computer Science 2018-06-13 Bin Li , Yueheng Lan , Weisi Guo , Chenglin Zhao

Semantic segmentation of microscopy images is a critical task for high-throughput materials characterisation, yet its automation is severely constrained by the prohibitive cost, subjectivity, and scarcity of expert-annotated data. While…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Salma Zahran , Zhou Ao , Zhengyang Zhang , Chen Chi , Chenchen Yuan , Yanming Wang

Multiscale Finite Element Methods (MsFEMs) are now well-established finite element type approaches dedicated to multiscale problems. They first compute local, oscillatory, problem-dependent basis functions that generate a suitable…

Numerical Analysis · Mathematics 2023-08-03 Rutger A. Biezemans , Claude Le Bris , Frédéric Legoll , Alexei Lozinski

We report a multiscale approach of broad applicability to stochastic reconstruction of multiphase materials, including porous ones. The approach devised uses an optimization method, such as the simulated annealing (SA) and the so-called…

Materials Science · Physics 2018-11-13 R. Piasecki , W. Olchawa , D. Frączek , R. Wiśniowski

Electrostatic forces play many important roles in molecular biology, but are hard to model due to the complicated interactions between biomolecules and the surrounding solvent, a fluid composed of water and dissolved ions. Continuum model…

Numerical Analysis · Mathematics 2015-12-29 Jaydeep P. Bardhan , Matthew G. Knepley

Multiscale Finite Element Methods (MsFEM) are finite element type approaches dedicated to multiscale problems. They first compute local, oscillatory, problem-dependent basis functions which generate a specific discretization space, and next…

Numerical Analysis · Mathematics 2023-02-08 Rutger A. Biezemans , Claude Le Bris , Frederic Legoll , Alexei Lozinski

Recently, hybrid models have emerged that combine microscopic and mesoscopic regimes in a single stochastic reaction-diffusion simulation. Microscopic simulations track every individual molecule and are generally more accurate. Mesoscopic…

Emerging Technologies · Computer Science 2015-11-20 Adam Noel , Karen C. Cheung , Robert Schober

In applied sciences, we often deal with deterministic simulation models that are too slow for simulation-intensive tasks such as calibration or real-time control. In this paper, an emulator for a generic dynamic model, given by a system of…

Methodology · Statistics 2012-07-06 Carlo Albert

Microstructural heterogeneity affects the macro-scale behavior of materials. Conversely, load distribution at the macro-scale changes the microstructural response. These up-scaling and down-scaling relations are often modeled using…

Materials Science · Physics 2023-06-13 Ashwini Gupta , Anindya Bhaduri , Lori Graham-Brady

The movement of many organisms can be described as a random walk at either or both the individual and population level. The rules for this random walk are based on complex biological processes and it may be difficult to develop a tractable,…

Biological Physics · Physics 2009-11-11 Radek Erban , Ioannis G. Kevrekidis , Hans G. Othmer

Complex spatiotemporal dynamics of physicochemical processes are often modeled at a microscopic level (through e.g. atomistic, agent-based or lattice models) based on first principles. Some of these processes can also be successfully…

We develop Electrochemical Mean-Field Kinetic Equations (EMFKE) to simulate electrochemical cells. We start from a microscopic lattice-gas model with charged particles, and build mean-field kinetic equations following the lines of earlier…

Materials Science · Physics 2009-11-10 Marc-Olivier Bernard , Mathis Plapp , Jean-Francois Gouyet

The ability to predict patient-specific soft tissue deformations is key for computer-integrated surgery systems and the core enabling technology for a new era of personalized medicine. Element-Free Galerkin (EFG) methods are better suited…

Computational Engineering, Finance, and Science · Computer Science 2019-06-14 Grand Joldes , George Bourantas , Benjamin Zwick , Habib Chowdhury , Adam Wittek , Sudip Agrawal , Konstantinos Mountris , Damon Hyde , Simon K. Warfield , Karol Miller

The human neuromuscular system consisting of skeletal muscles and neural circuits is a complex system that is not yet fully understood. Surface electromyography (EMG) can be used to study muscle behavior from the outside. Computer…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-16 Benjamin Maier

This work presents a novel posterior inference method for models with intractable evidence and likelihood functions. Error-guided likelihood-free MCMC, or EG-LF-MCMC in short, has been developed for scientific applications, where a…

Machine Learning · Statistics 2021-04-27 Volodimir Begy , Erich Schikuta

Renewable energy projects, such as large offshore wind farms, are critical to achieving low-emission targets set by governments. Stochastic computer models allow us to explore future scenarios to aid decision making whilst considering the…

Methodology · Statistics 2021-12-07 Jack C. Kennedy , Daniel A. Henderson , Kevin J. Wilson

We present a fully modular and scalable software pipeline for processing electron microscope (EM) images of brain slices into 3D visualization of individual neurons and demonstrate an end-to-end segmentation of a large EM volume using a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-20 Rafael Vescovi , Hanyu Li , Jeffery Kinnison , Murat Keceli , Misha Salim , Narayanan Kasthuri , Thomas D. Uram , Nicola Ferrier

Physical simulations based on partial differential equations typically generate spatial fields results, which are utilized to calculate specific properties of a system for engineering design and optimization. Due to the intensive…

Machine Learning · Computer Science 2022-09-09 Shihong Wang , Xueying Zhang , Yichen Meng , Wei W. Xing

The evolve-filter (EF) model is a filter-based numerical stabilization for under-resolved convection-dominated flows. EF is a simple, modular, and effective strategy for both full-order models (FOMs) and reduced-order models (ROMs). It is…

Numerical Analysis · Mathematics 2025-02-03 Maria Strazzullo , Francesco Ballarin , Traian Iliescu , Tomás Chacón Rebollo

Metamodeling of complex numerical systems has recently attracted the interest of the mathematical programming community. Despite the progress in high performance computing, simulations remain costly, as a matter of fact, the assessment of…

Other Statistics · Statistics 2018-11-13 Soumaya Azzi , Yuanyuan Huang , Bruno Sudret , Joe Wiart