English
Related papers

Related papers: Periodicity-Enforced Neural Network for Designing …

200 papers

Crucial for building trust in deep learning models for critical real-world applications is efficient and theoretically sound uncertainty quantification, a task that continues to be challenging. Useful uncertainty information is expected to…

Machine Learning · Computer Science 2021-10-28 Zhen Lin , Shubhendu Trivedi , Jimeng Sun

Extreme learning machine (ELM) is a methodology for solving partial differential equations (PDEs) using a single hidden layer feed-forward neural network. It presets the weight/bias coefficients in the hidden layer with random values, which…

Numerical Analysis · Mathematics 2025-04-30 Chang-Ock Lee , Youngkyu Lee , Byungeun Ryoo

This work presents a deep learning surrogate model for the fast simulation of high-dimensional frequency selective surfaces. We consider unit-cells which are built as multiple concatenated stacks of screens and their design requires the…

Signal Processing · Electrical Eng. & Systems 2023-09-22 Lucas Polo-López , Luc Le Magoarou , Romain Contreres , María García-Vigueras

Scientific computing for large deformation of elastic-plastic solids is critical for numerous real-world applications. Classical numerical solvers rely primarily on local discrete linear approximation and are constrained by an inherent…

Machine Learning · Computer Science 2025-06-09 Shilong Tao , Zhe Feng , Haonan Sun , Zhanxing Zhu , Yunhuai Liu

Despite the progress in high performance computing, Computational Fluid Dynamics (CFD) simulations are still computationally expensive for many practical engineering applications such as simulating large computational domains and highly…

Fluid Dynamics · Physics 2017-10-26 Botros N Hanna , Nam T. Dinh , Robert W. Youngblood , Igor A. Bolotnov

Dynamic mode decomposition (DMD) is a widely used data-driven algorithm for predicting the future states of dynamical systems. However, its standard formulation often struggles with poor long-term predictive accuracy. To address this…

Numerical Analysis · Mathematics 2025-10-23 Qiuqi Li , Chang Liu , Yifei Yang

Numerical solutions of partial differential equations (PDEs) require expensive simulations, limiting their application in design optimization, model-based control, and large-scale inverse problems. Surrogate modeling techniques seek to…

Computational Physics · Physics 2022-05-18 James Duvall , Karthik Duraisamy , Shaowu Pan

In this work, an efficient physics-constrained deep learning model is developed for solving multiphase flow in 3D heterogeneous porous media. The model fully leverages the spatial topology predictive capability of convolutional neural…

Geophysics · Physics 2021-05-21 Bicheng Yan , Dylan Robert Harp , Bailian Chen , Rajesh Pawar

Deep learning-based reduced order models (DL-ROMs) have been recently proposed to overcome common limitations shared by conventional ROMs - built, e.g., exclusively through proper orthogonal decomposition (POD) - when applied to nonlinear…

Numerical Analysis · Mathematics 2022-01-26 Federico Fatone , Stefania Fresca , Andrea Manzoni

Early and accurately detecting faults in rotating machinery is crucial for operation safety of the modern manufacturing system. In this paper, we proposed a novel Deep fault diagnosis (DFD) method for rotating machinery with scarce labeled…

Signal Processing · Electrical Eng. & Systems 2019-07-23 Jing Zhang , Jing Tian , Tao Wen , Xiaohui Yang , Yong Rao , Xiaobin Xu

This contribution proposes novel data-driven surrogate modeling approaches for parameterized parabolic PDEs, where the parameter dependence can be split into two parts with different decay behavior of the Kolmogorov $N$-width. Such problems…

Numerical Analysis · Mathematics 2026-04-27 Dawid Kotowski , Mario Ohlberger

Deep learning-based reduced order models (DL-ROMs) have been recently proposed to overcome common limitations shared by conventional reduced order models (ROMs) - built, e.g., through proper orthogonal decomposition (POD) - when applied to…

Numerical Analysis · Mathematics 2021-11-03 Stefania Fresca , Andrea Manzoni

An electrokinetically-driven deterministic lateral displacement (e-DLD) device is proposed for the continuous, two-dimensional fractionation of suspensions in microfluidic platforms. The suspended species are driven through an array of…

Fluid Dynamics · Physics 2016-05-04 Srinivas Hanasoge , Raghavendra Devendra , Javier F. Diez , German Drazer

An efficient strategy to construct physics-based local surrogate models for parametric linear elliptic problems is presented. The method relies on proper generalized decomposition (PGD) to reduce the dimensionality of the problem and on an…

Numerical Analysis · Mathematics 2025-12-03 Marco Discacciati , Ben J. Evans , Matteo Giacomini

In this study, we leverage the massive amount of multi-modal on-machine metrology data generated from Laser Powder Directed Energy Deposition (LP-DED) to construct a comprehensive surrogate model of the 3D printing process. By employing…

Systems and Control · Electrical Eng. & Systems 2025-04-04 Michael Juhasz , Eric Chin , Youngsoo Choi , Joseph T. McKeown , Saad Khairallah

The inherent complexity of boundary plasma, characterized by multi-scale and multi-physics challenges, has historically restricted high-fidelity simulations to scientific research due to their intensive computational demands. Consequently,…

Plasma Physics · Physics 2025-06-10 Ben Zhu , Menglong Zhao , Xue-Qiao Xu , Anchal Gupta , KyuBeen Kwon , Xinxing Ma , David Eldon

Streamlined weirs which are a nature-inspired type of weir have gained tremendous attention among hydraulic engineers, mainly owing to their established performance with high discharge coefficients. Computational fluid dynamics (CFD) is…

Machine Learning · Computer Science 2022-04-13 Weibin Chen , Danial Sharifrazi , Guoxi Liang , Shahab S. Band , Kwok Wing Chau , Amir Mosavi

When a fluid flows over a solid surface, it creates a thin boundary layer where the flow velocity is influenced by the surface through viscosity, and can transition from laminar to turbulent at sufficiently high speeds. Understanding and…

Fluid Dynamics · Physics 2024-10-24 Matthew Bonas , David H. Richter , Stefano Castruccio

The Linear Parameter-Varying (LPV) framework provides a modeling and control design toolchain to address nonlinear (NL) system behavior via linear surrogate models. Despite major research effort on LPV data-driven modeling, a key…

Systems and Control · Electrical Eng. & Systems 2022-10-28 Chris Verhoek , Gerben I. Beintema , Sofie Haesaert , Maarten Schoukens , Roland Tó th

We verified that the deep learning method named reading periodic table introduced by ref. Deep Learning Model for Finding New Superconductors, which utilizes deep learning to read the periodic table and the laws of the elements, is…

Machine Learning · Computer Science 2021-05-10 Tomohiko Konno