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Recently, deep neural networks (DNNs) have become powerful tools for solving inverse scattering problems. However, the approximation and generalization rates of DNNs for solving these problems remain largely under-explored. In this work, we…

数值分析 · 数学 2025-02-03 Zehui Zhou

This study presents a deep learning approach to predicting structural and electronic properties of materials using Graph Neural Networks (GNNs). Leveraging data from the Materials Project database, we construct graph representations of…

无序系统与神经网络 · 物理学 2024-12-20 Selva Chandrasekaran Selvaraj

In this work we study the inverse quantum scattering via deep learning regression, which is implemented via a Multilayer Perceptron. A step-by-step method is provided in order to obtain the potential parameters. A circular boundary-wall…

计算物理 · 物理学 2023-07-20 A. C. Maioli

The inverse problem of electrical resistivity surveys (ERSs) is difficult because of its nonlinear and ill-posed nature. For this task, traditional linear inversion methods still face challenges such as suboptimal approximation and initial…

计算机视觉与模式识别 · 计算机科学 2020-06-29 Bin Liu , Qian Guo , Shucai Li , Benchao Liu , Yuxiao Ren , Yonghao Pang , Xu Guo , Lanbo Liu , Peng Jiang

In this paper, we consider a numerical homogenization of the poroelasticity problem with stochastic properties. The proposed method based on the construction of the deep neural network (DNN) for fast calculation of the effective properties…

数值分析 · 数学 2018-10-04 Maria Vasilyeva , Aleksey Tyrylgin

We propose a novel deep neural network (DNN) based approximation architecture to learn estimates of measurements. We detail an algorithm that enables training of the DNN. The DNN estimator only uses measurements, if and when they are…

机器学习 · 计算机科学 2022-09-13 Shivangi Agarwal , Sanjit K. Kaul , Saket Anand , P. B. Sujit

The advent of fast sensing technologies allows for real-time model updates in many applications where the model parameters are uncertain. Bayesian algorithms, such as ensemble smoothers, offer a real-time probabilistic inversion accounting…

地球物理 · 物理学 2022-05-26 Muzammil Hussain Rammay , Sergey Alyaev , Ahmed H Elsheikh

Deep Learning's recent successes have mostly relied on Convolutional Networks, which exploit fundamental statistical properties of images, sounds and video data: the local stationarity and multi-scale compositional structure, that allows…

机器学习 · 计算机科学 2015-06-18 Mikael Henaff , Joan Bruna , Yann LeCun

In this paper, we construct approximated solutions of Differential Equations (DEs) using the Deep Neural Network (DNN). Furthermore, we present an architecture that includes the process of finding model parameters through experimental data,…

数值分析 · 数学 2019-07-31 Hyeontae Jo , Hwijae Son , Hyung Ju Hwang , Eunheui Kim

Given the rapid changes in telecommunication systems and their higher dependence on artificial intelligence, it is increasingly important to have models that can perform well under different, possibly adverse, conditions. Deep Neural…

信号处理 · 电气工程与系统科学 2021-03-30 Javier Maroto , Gérôme Bovet , Pascal Frossard

The integration of Graph Neural Networks (GNNs) and Neural Ordinary and Partial Differential Equations has been extensively studied in recent years. GNN architectures powered by neural differential equations allow us to reason about their…

机器学习 · 计算机科学 2024-06-18 Moshe Eliasof , Eldad Haber , Eran Treister

The solution of nonlinear electromagnetic (EM) inverse scattering problems is typically hindered by several challenges such as ill-posedness, strong nonlinearity, and high computational costs. Recently, deep learning has been demonstrated…

计算物理 · 物理学 2020-01-08 Lianlin Li , Long Gang Wang , Fernando L. Teixeira

In the past few years, convolutional neural nets (CNN) have shown incredible promise for learning visual representations. In this paper, we use CNNs for the task of predicting surface normals from a single image. But what is the right…

计算机视觉与模式识别 · 计算机科学 2014-11-19 Xiaolong Wang , David F. Fouhey , Abhinav Gupta

Recently, deep learning (DL) has been emerging as a promising approach for channel estimation and signal detection in wireless communications. The majority of the existing studies investigating the use of DL techniques in this domain focus…

网络与互联网体系结构 · 计算机科学 2024-04-04 Khalid Albagami , Nguyen Van Huynh , Geoffrey Ye Li

We show that deep convolutional neural networks (CNN) can massively outperform traditional densely-connected neural networks (both deep or shallow) in predicting eigenvalue problems in mechanics. In this sense, we strike out in a new…

计算物理 · 物理学 2018-07-19 David Finol , Yan Lu , Vijay Mahadevan , Ankit Srivastava

The ubiquity of deep neural networks (DNNs), cloud-based training, and transfer learning is giving rise to a new cybersecurity frontier in which unsecure DNNs have `structural malware' (i.e., compromised weights and activation pathways). In…

机器学习 · 计算机科学 2021-02-05 N. Benjamin Erichson , Dane Taylor , Qixuan Wu , Michael W. Mahoney

Diffractive neural networks leverage the high-dimensional characteristics of electromagnetic (EM) fields for high-throughput computing. However, the existing architectures face challenges in integrating large-scale multidimensional…

光学 · 物理学 2025-09-09 Songtao Yang , Sheng Gao , Chu Wu , Zejia Zhao , Haiou Zhang , Xing Lin

Wireless channel propagation parameter estimation forms the foundation of channel sounding, estimation, modeling, and sensing. This paper introduces a Deep Learning approach for joint delay- and Doppler estimation from frequency and time…

信号处理 · 电气工程与系统科学 2025-10-22 Steffen Schieler , Sebastian Semper , Reiner Thomä

Recent years have witnessed a hot wave of deep neural networks in various domains; however, it is not yet well understood theoretically. A theoretical characterization of deep neural networks should point out their approximation ability and…

机器学习 · 计算机科学 2022-10-28 Gao Zhang , Jin-Hui Wu , Shao-Qun Zhang

The use of deep neural network (DNN) models as surrogates for linear and nonlinear structural dynamical systems is explored. The goal is to develop DNN based surrogates to predict structural response, i.e., displacements and accelerations,…

机器学习 · 计算机科学 2021-11-05 Nan Feng , Guodong Zhang , Kapil Khandelwal