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Computational Fluid Dynamics (CFD) simulation by the numerical solution of the Navier-Stokes equations is an essential tool in a wide range of applications from engineering design to climate modeling. However, the computational cost and…

Computational Physics · Physics 2021-11-29 Mateus Dias Ribeiro , Abdul Rehman , Sheraz Ahmed , Andreas Dengel

Continuous normalizing flows (CNFs) construct invertible mappings between an arbitrary complex distribution and an isotropic Gaussian distribution using Neural Ordinary Differential Equations (neural ODEs). It has not been tractable on…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Shian Du , Yihong Luo , Wei Chen , Jian Xu , Delu Zeng

In this research, we propose a deep learning based approach for speeding up the topology optimization methods. The problem we seek to solve is the layout problem. The main novelty of this work is to state the problem as an image…

Machine Learning · Computer Science 2017-09-28 Ivan Sosnovik , Ivan Oseledets

Topology optimization by optimally distributing materials in a given domain requires non-gradient optimizers to solve highly complicated problems. However, with hundreds of design variables or more involved, solving such problems would…

Computational Engineering, Finance, and Science · Computer Science 2022-01-27 Changyu Deng , Yizhou Wang , Can Qin , Yun Fu , Wei Lu

The published literature on topology optimization has exploded over the last two decades to include methods that use shape and topological derivatives or evolutionary algorithms formulated on various geometric representations and…

Machine Learning · Computer Science 2021-02-16 MohammadMahdi Behzadi , Horea T. Ilies

Topology optimization is a critical task in engineering design, where the goal is to optimally distribute material in a given space for maximum performance. We introduce Neural Implicit Topology Optimization (NITO), a novel approach to…

Machine Learning · Computer Science 2024-02-08 Amin Heyrani Nobari , Giorgio Giannone , Lyle Regenwetter , Faez Ahmed

This paper presents a unified framework for codifying and automating optimization strategies to efficiently deploy deep neural networks (DNNs) on resource-constrained hardware, such as FPGAs, while maintaining high performance, accuracy,…

Hardware Architecture · Computer Science 2026-02-11 Zhiqiang Que , Jose G. F. Coutinho , Ce Guo , Hongxiang Fan , Wayne Luk

Data-driven machine learning approaches have recently been proposed to facilitate wireless network optimization by learning latent knowledge from historical optimization instances. However, existing methods do not well handle the topology…

Networking and Internet Architecture · Computer Science 2021-01-06 Shuai Zhang , Bo Yin , Yu Cheng

We propose a decoupled divergence-free neural networks basis (Decoupled-DFNN) method for solving incompressible flow problems, including the Stokes and Navier-Stokes equations. To ensure the divergence free property exactly, the velocity…

Numerical Analysis · Mathematics 2026-03-19 Jinbao Cheng , Jianguo Huang , Haoqin Wang , Tao Zhou

Real world networks are often subject to severe uncertainties which need to be addressed by any reliable prescriptive model. In the context of the maximum flow problem subject to arc failure, robust models have gained particular attention.…

Discrete Mathematics · Computer Science 2017-05-24 Fabian Mies , Britta Peis , Andreas Wierz

We propose conditioning field initialization for neural network based topology optimization. In this work, we focus on (1) improving upon existing neural network based topology optimization, (2) demonstrating that by using a prior initial…

Machine Learning · Computer Science 2023-05-19 Hongrui Chen , Aditya Joglekar , Levent Burak Kara

This paper introduces a new numerical approach that integrates local randomized neural networks (LRNNs) and the hybridized discontinuous Petrov-Galerkin (HDPG) method for solving coupled fluid flow problems. The proposed method partitions…

Numerical Analysis · Mathematics 2023-12-12 Haoning Dang , Fei Wang

Optimizing fluid-dynamic performance is an important engineering task. Traditionally, experts design shapes based on empirical estimations and verify them through expensive experiments. This costly process, both in terms of time and space,…

Computational Engineering, Finance, and Science · Computer Science 2020-01-24 Yang Chen

The use of machine learning methods to tackle challenging physical layer signal processing tasks has attracted significant attention. In this work, we focus on the use of neural networks (NNs) to perform pilot-assisted channel estimation in…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Michel van Lier , Alexios Balatsoukas-Stimming , Henk Corporaaal , Zoran Zivkovic

Reduced order models play an important role in the design, optimization and control of dynamical systems. In recent years, there has been an increasing interest in the application of data-driven techniques for model reduction that can…

Fluid Dynamics · Physics 2021-02-23 Carlos J. G. Rojas , Andreas Dengel , Mateus Dias Ribeiro

In this paper, a mechanistic data-driven approach is proposed to accelerate structural topology optimization, employing an in-house developed finite element convolutional neural network (FE-CNN). Our approach can be divided into two stages:…

Machine Learning · Computer Science 2021-06-28 Tianle Yue , Hang Yang , Zongliang Du , Chang Liu , Khalil I. Elkhodary , Shan Tang , Xu Guo

The numerical simulation and optimization of technical systems described by partial differential equations is expensive, especially in multi-query scenarios in which the underlying equations have to be solved for different parameters. A…

Numerical Analysis · Mathematics 2025-04-09 Franziska Griese , Fabian Hoppe , Alexander Rüttgers , Philipp Knechtges

This article presents a detailed introduction to density-based topology optimisation of fluid flow problems. The goal is to allow new students and researchers to quickly get started in the research area and to skip many of the initial…

Computational Engineering, Finance, and Science · Computer Science 2023-02-03 Joe Alexandersen

We present an efficient deep learning technique for the model reduction of the Navier-Stokes equations for unsteady flow problems. The proposed technique relies on the Convolutional Neural Network (CNN) and the stochastic gradient descent…

Fluid Dynamics · Physics 2018-08-16 Tharindu P. Miyanawala , Rajeev K. Jaiman

Fluid-flow devices with low dissipation, but high contact area, are of importance in many applications. A well-known strategy to design such devices is multi-scale topology optimization (MTO), where optimal microstructures are designed…

Numerical Analysis · Mathematics 2022-09-20 Rahul Kumar Padhy , Aaditya Chandrasekhar , Krishnan Suresh