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An approximation model based on convolutional neural networks (CNNs) is proposed for flow field predictions. The CNN is used to predict the velocity and pressure field in unseen flow conditions and geometries given the pixelated shape of…

Fluid Dynamics · Physics 2019-06-14 Yaser Afshar , Saakaar Bhatnagar , Shaowu Pan , Karthik Duraisamy , Shailendra Kaushik

Before a car-following model can be applied in practice, it must first be validated against real data in a process known as calibration. This paper discusses the formulation of calibration as an optimization problem, and compares different…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Ronan Keane , H. Oliver Gao

CFD is widely used in physical system design and optimization, where it is used to predict engineering quantities of interest, such as the lift on a plane wing or the drag on a motor vehicle. However, many systems of interest are…

In component shape optimization, the component properties are often evaluated by computationally expensive simulations. Such optimization becomes unfeasible when it is focused on a global search requiring thousands of simulations to be…

Computational Engineering, Finance, and Science · Computer Science 2025-12-08 Lucie Kubíčková , Onřej Gebouský , Jan Haidl , Martin Isoz

Layout designs are encountered in a variety of fields. For problems with many design degrees of freedom, efficiency of design methods becomes a major concern. In recent years, machine learning methods such as artificial neural networks have…

Machine Learning · Computer Science 2021-02-01 Chao Qian , Renkai Tan , Wenjing Ye

Approximate computing offers promising energy efficiency benefits for error-tolerant applications, but discovering optimal approximations requires extensive design space exploration (DSE). Predicting the accuracy of circuits composed of…

Hardware Architecture · Computer Science 2026-03-20 Ondrej Vlcek , Vojtech Mrazek

A novel adjoint-based framework oriented to optimal flow control in compressible direct numerical simulations is presented. Also, a new formulation of the adjoint characteristic boundary conditions is introduced, which enhances the…

Computational Physics · Physics 2016-05-24 J. Javier Otero , Ati S. sharma , Richard D. Sandberg

This paper applies a discrete adjoint gradient computation method for a multi-class traffic flow model on road networks. Vehicle classes are characterized by their specific velocity functions, which depend on the total traffic density,…

Analysis of PDEs · Mathematics 2026-04-02 Paola Goatin , Axel Klar , Carmen Mezquita-Nieto

Convolutional neural networks are basic structures using jet images as input for the jet tagging problems. However, what they have learned during the training process is always difficult to understand just through feature maps. Inspired by…

High Energy Physics - Phenomenology · Physics 2020-09-02 Jing Li , Hao Sun

This paper presents a concise mathematical framework for investigating both feed-forward and backward process, during the training to learn model weights, of an artificial neural network (ANN). Inspired from the idea of the two-step rule…

Neural and Evolutionary Computing · Computer Science 2023-05-02 Ahmed Boughammoura

The sharp increasing in fabrication capabilities of nanomaterials, and complex structures such as meta-surfaces and metalens, has opened to the possibility of employing them for accurately control the electromagnetic field, beyond the…

Numerical Analysis · Mathematics 2026-03-17 Vincenzo Mottola , Luisa Faella , Carlo Forestiere , Antonello Tamburrino

Artificial neural networks are powerful pattern classifiers; however, they have been surpassed in accuracy by methods such as support vector machines and random forests that are also easier to use and faster to train. Backpropagation, which…

Machine Learning · Computer Science 2014-12-31 Mehdi Sajjadi , Mojtaba Seyedhosseini , Tolga Tasdizen

We propose a novel data-driven method to accelerate the convergence of Alternating Direction Method of Multipliers (ADMM) for solving distributed DC optimal power flow (DC-OPF) where lines are shared between independent network partitions.…

Optimization and Control · Mathematics 2020-09-16 David Biagioni , Peter Graf , Xiangyu Zhang , Ahmed Zamzam , Kyri Baker , Jennifer King

The adaptability of the convolutional neural network (CNN) technique for aerodynamic meta-modeling tasks is probed in this work. The primary objective is to develop suitable CNN architecture for variable flow conditions and object geometry,…

Machine Learning · Statistics 2018-01-18 Yao Zhang , Woong-Je Sung , Dimitri Mavris

The wind-tunnel experiment plays a critical role in the design and development phases of modern aircraft, which is limited by prohibitive cost. In contrast, numerical simulation, as an important alternative paradigm, mimics complex flow…

Fluid Dynamics · Physics 2021-09-30 Kai Li , Jiaqing Kou , Weiwei Zhang

We study the applicability of a Deep Neural Network (DNN) approach to simulate one-dimensional non-relativistic fluid dynamics. Numerical fluid dynamical calculations are used to generate training data-sets corresponding to a broad range of…

Computational Physics · Physics 2021-06-08 Kirill Taradiy , Kai Zhou , Jan Steinheimer , Roman V. Poberezhnyuk , Volodymyr Vovchenko , Horst Stoecker

The field of artificial neural network (ANN) training has garnered significant attention in recent years, with researchers exploring various mathematical techniques for optimizing the training process. In particular, this paper focuses on…

Functional Analysis · Mathematics 2023-06-23 Arzu Ahmadova

. Predicting and calculating the aerodynamic coefficients of airfoils near the ground with CFD software requires much time. However, the availability of data from CFD simulation results and the development of new neural network methods have…

Machine Learning · Computer Science 2025-08-26 Mohammad Amin Esabat , Saeed Jaamei , Fatemeh Asadi

Sensitivity analysis plays an important role in searching for constitutive parameters (e.g. permeability) subsurface flow simulations. The mathematics behind is to solve a dynamic constrained optimization problem. Traditional methods like…

Computational Physics · Physics 2019-06-05 Shu Wang , Satish Karra , Daniel O'Malley

Real-time traffic flow prediction can not only provide travelers with reliable traffic information so that it can save people's time, but also assist the traffic management agency to manage traffic system. It can greatly improve the…

Machine Learning · Statistics 2018-08-17 Zeren Tan , Ruimin Li