English
Related papers

Related papers: Convolutional Surrogate for 3D Discrete Fracture-M…

200 papers

Phase-field modeling is an effective but computationally expensive method for capturing the mesoscale morphological and microstructure evolution in materials. Hence, fast and generalizable surrogate models are needed to alleviate the cost…

Materials Science · Physics 2022-07-01 Vivek Oommen , Khemraj Shukla , Somdatta Goswami , Remi Dingreville , George Em Karniadakis

Predicting multiphysics dynamics is computationally expensive and challenging due to the severe coupling of multi-scale, heterogeneous physical processes. While neural surrogates promise a paradigm shift, the field currently suffers from an…

In multi-objective design tasks, the computational cost increases rapidly when high-fidelity simulations are used to evaluate objective functions. Surrogate models help mitigate this cost by approximating the simulation output, simplifying…

Applications · Statistics 2025-06-03 Omer F. Erdem , David P. Broughton , Josef Svoboda , Chengkun Huang , Majdi I. Radaideh

We consider numerical solution of elliptic problems with heterogeneous diffusion coefficients containing thin highly conductive structures. Such problems arise e.g. in fractured porous media, reinforced materials, and electric circuits. The…

Numerical Analysis · Mathematics 2020-07-22 Fredrik Hellman , Axel Målqvist , Siyang Wang

The performance of machine learning surrogates is critically dependent on data quality and quantity. This presents a major challenge, as high-fidelity (HF) data is often scarce and computationally expensive to acquire, while low-fidelity…

Machine Learning · Computer Science 2026-02-03 Jice Zeng , David Barajas-Solano , Hui Chen

Predictive estimation, which comprises model calibration, model prediction, and validation, is a common objective when performing inverse uncertainty quantification (UQ) in diverse scientific applications. These techniques typically require…

Numerical Analysis · Mathematics 2024-07-17 Ningxin Yang , Truong Le , Lidija Zdravković , David M. Potts

We present a topology-based method for mesh-partitioning in three-dimensional discrete fracture network (DFN) simulations that take advantage of the intrinsic multi-level nature of a DFN. DFN models are used to simulate flow and transport…

This work introduces a surrogate-based model for efficiently estimating the frequency response of dynamic mechanical metamaterials, particularly when dealing with large parametric perturbations and aperiodic substructures. The research…

Computational Engineering, Finance, and Science · Computer Science 2025-11-06 J. Pereira , R. O. Ruiz

Multi-fidelity (MF) modeling is a powerful statistical approach that can intelligently blend data from varied fidelity sources. This approach finds a compelling application in predicting melt pool geometry for laser-directed energy…

Machine Learning · Computer Science 2024-03-21 Nandana Menon , Amrita Basak

Accurate channel impulse response (CIR) modeling in molecular communication (MC) often requires solving coupled reactive diffusion-advection equations, which is computationally expensive for large parameter sweeps or design loops. We…

Signal Processing · Electrical Eng. & Systems 2025-12-23 Meysam Ghanbari , Mohammad Taghi Dabiri , Mazen Hasna , Tanvir Alam , Khalid Qaraqe

We propose a deep learning-based surrogate model for stochastic simulators. The basic idea is to use generative neural network to approximate the stochastic response. The challenge with such a framework resides in designing the network…

Machine Learning · Computer Science 2021-10-27 Akshay Thakur , Souvik Chakraborty

In the context of structural health monitoring (SHM), the selection and extraction of damage-sensitive features from raw sensor recordings represent a critical step towards solving the inverse problem underlying the identification of…

Computational Engineering, Finance, and Science · Computer Science 2025-12-03 Matteo Torzoni , Andrea Manzoni , Stefano Mariani

In recent years, increasingly complex computational models are being built to describe physical systems which has led to increased use of surrogate models to reduce computational cost. In problems related to Structural Health Monitoring…

Machine Learning · Computer Science 2024-07-08 Nicholas E. Silionis , Theodora Liangou , Konstantinos N. Anyfantis

The high dimensionality of kinetic equations with stochastic parameters poses major computational challenges for uncertainty quantification (UQ). Traditional Monte Carlo (MC) sampling methods, while widely used, suffer from slow convergence…

Numerical Analysis · Mathematics 2025-06-13 Wei Chen , Giacomo Dimarco , Lorenzo Pareschi

In this paper, we present a surrogate-based multiscale approach to model constant strain-rate and creep experiments on unidirectional thermoplastic composites under off-axis loading. In previous contributions, these experiments were modeled…

Numerical Analysis · Mathematics 2025-01-20 M. A. Maia , I. B. C. M. Rocha , D. Kovačević , F. P. van der Meer

Traditionally, the field of computational Bayesian statistics has been divided into two main subfields: variational methods and Markov chain Monte Carlo (MCMC). In recent years, however, several methods have been proposed based on combining…

Computation · Statistics 2017-04-19 Cheng Zhang , Babak Shahbaba , Hongkai Zhao

Modern computational methods, involving highly sophisticated mathematical formulations, enable several tasks like modeling complex physical phenomenon, predicting key properties and design optimization. The higher fidelity in these computer…

Computational Engineering, Finance, and Science · Computer Science 2023-04-13 Lele Luan , Nesar Ramachandra , Sandipp Krishnan Ravi , Anindya Bhaduri , Piyush Pandita , Prasanna Balaprakash , Mihai Anitescu , Changjie Sun , Liping Wang

4D Computed Tomography (4DCT) is widely used for many clinical applications such as radiotherapy treatment planning, PET and ventilation imaging. However, common 4DCT methods reconstruct multiple breath cycles into a single, arbitrary…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Yuliang Huang , Bjoern Eiben , Kris Thielemans , Jamie R. McClelland

High-fidelity numerical simulations of partial differential equations (PDEs) given a restricted computational budget can significantly limit the number of parameter configurations considered and/or time window evaluated for modeling a given…

Machine Learning · Computer Science 2023-09-04 Paolo Conti , Mengwu Guo , Andrea Manzoni , Attilio Frangi , Steven L. Brunton , J. Nathan Kutz

Improving predictive understanding of Earth system variability and change requires data-model integration. Efficient data-model integration for complex models requires surrogate modeling to reduce model evaluation time. However, building a…

Machine Learning · Statistics 2019-01-17 Dan Lu , Daniel Ricciuto