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Graph neural networks (GNNs) naturally align with sparse operators and unstructured discretizations, making them a promising paradigm for physics-informed machine learning in computational mechanics. Motivated by discrete physics losses and…

机器学习 · 计算机科学 2026-02-10 Jianchuan Yang , Xi Chen , Jidong Zhao

We address the problem of accelerating thin-shell deformable object simulations by dimension reduction. We present a new algorithm to embed a high-dimensional configuration space of deformable objects in a low-dimensional feature space,…

图形学 · 计算机科学 2020-03-02 Qingyang Tan , Zherong Pan , Lin Gao , Dinesh Manocha

We present a method whereby the finite element method is used to train physics-informed neural networks that are suitable for surrogate modeling. The method is based on a custom convolutional operation called stencil convolution which…

计算物理 · 物理学 2024-12-11 Pranav Sunil , Ryan B. Sills

Convolutional neural network (CNN) is one of the most prominent architectures and algorithm in Deep Learning. It shows a remarkable improvement in the recognition and classification of objects. This method has also been proven to be very…

计算机视觉与模式识别 · 计算机科学 2016-10-10 Vina Ayumi , L. M. Rasdi Rere , Mohamad Ivan Fanany , Aniati Murni Arymurthy

This study introduces the concept of finite element network analysis (FENA) which is a physics-informed, machine-learning-based, computational framework for the simulation of complex physical systems. The framework leverages the extreme…

计算物理 · 物理学 2021-02-24 Mehdi Jokar , Fabio Semperlotti

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…

机器学习 · 计算机科学 2021-02-16 MohammadMahdi Behzadi , Horea T. Ilies

To facilitate widespread adoption of automated engineering design techniques, existing methods must become more efficient and generalizable. In the field of topology optimization, this requires the coupling of modern optimization methods…

计算工程、金融与科学 · 计算机科学 2024-02-23 Connor N. Mallon , Aaron W. Thornton , Matthew R. Hill , Santiago Badia

Despite the phenomenal success of deep neural networks in a broad range of learning tasks, there is a lack of theory to understand the way they work. In particular, Convolutional Neural Networks (CNNs) are known to perform much better than…

机器学习 · 计算机科学 2020-02-05 Stéphane d'Ascoli , Levent Sagun , Joan Bruna , Giulio Biroli

We propose Path-CNN, a method for the segmentation of centerlines of tubular structures by embedding convolutional neural networks (CNNs) into the progressive minimal path method. Minimal path methods are widely used for topology-aware…

计算机视觉与模式识别 · 计算机科学 2022-04-06 Wei Liao

While purely data-driven assessment is feasible for the first levels of the Structural Health Monitoring (SHM) process, namely damage detection and arguably damage localization, this does not hold true for more advanced processes. The tasks…

计算工程、金融与科学 · 计算机科学 2021-05-03 Thomas Simpson , Vasilis Dertimanis , Costas Papadimitriou , Eleni Chatzi

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…

机器学习 · 计算机科学 2023-05-19 Hongrui Chen , Aditya Joglekar , Levent Burak Kara

This paper introduces a novel optimization framework for deep neural network (DNN) hardware accelerators, enabling the rapid development of customized and automated design flows. More specifically, our approach aims to automate the…

机器学习 · 计算机科学 2023-11-08 Zhiqiang Que , Shuo Liu , Markus Rognlien , Ce Guo , Jose G. F. Coutinho , Wayne Luk

Convolution neural network (CNN) based methods offer effective solutions for enhancing the quality of compressed image and video. However, these methods ignore using the raw data to enhance the quality. In this paper, we adopt the raw data…

图像与视频处理 · 电气工程与系统科学 2022-08-10 Renwei Yang , Shuyuan Zhu , Xiaozhen Zheng , Bing Zeng

We propose Alternating Phase-Field Fourier Neural Networks (APF-FNNs) as a unified and physics-based framework for topology optimization. The approach decouples the design problem by representing the state, adjoint, and topology fields with…

最优化与控制 · 数学 2026-01-27 Jing Li , Xindi Hu , Helin Gong , Wei Gong , Shengfeng Zhu

Convolutional Neural Networks (CNNs) are the state-of-the-art algorithms for the processing of images. However the configuration and training of these networks is a complex task requiring deep domain knowledge, experience and much trial and…

计算机视觉与模式识别 · 计算机科学 2021-02-11 Yaron Strauch , Jo Grundy

The increasing demand for on-device training of deep neural networks (DNNs) aims to leverage personal data for high-performance applications while addressing privacy concerns and reducing communication latency. However, resource-constrained…

硬件体系结构 · 计算机科学 2026-03-31 Jinming Lu , Jiayi Tian , Hai Li , Ian Young , Zheng Zhang

Recent developments in mechanical, aerospace, and structural engineering have driven a growing need for efficient ways to model and analyse structures at much larger and more complex scales than before. While established numerical methods…

机器学习 · 计算机科学 2025-07-29 Rui Wu , Nikola Kovachki , Burigede Liu

Recent findings indicate that over-parametrization, while crucial for successfully training deep neural networks, also introduces large amounts of redundancy. Tensor methods have the potential to efficiently parametrize over-complete…

计算机视觉与模式识别 · 计算机科学 2019-04-05 Jean Kossaifi , Adrian Bulat , Georgios Tzimiropoulos , Maja Pantic

Large-scale or high-resolution geologic models usually comprise a huge number of grid blocks, which can be computationally demanding and time-consuming to solve with numerical simulators. Therefore, it is advantageous to upscale geologic…

机器学习 · 计算机科学 2022-01-04 Nanzhe Wang , Qinzhuo Liao , Haibin Chang , Dongxiao Zhang

Data-driven material models have many advantages over classical numerical approaches, such as the direct utilization of experimental data and the possibility to improve performance of predictions when additional data is available. One…

计算工程、金融与科学 · 计算机科学 2020-06-11 Dengpeng Huang , Jan Niklas Fuhg , Christian Weißenfels , Peter Wriggers