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Despite their ubiquity throughout science and engineering, only a handful of partial differential equations (PDEs) have analytical, or closed-form solutions. This motivates a vast amount of classical work on numerical simulation of PDEs and…

In this work, we present a machine learning approach for reducing the error when numerically solving time-dependent partial differential equations (PDE). We use a fully convolutional LSTM network to exploit the spatiotemporal dynamics of…

机器学习 · 计算机科学 2020-02-11 Ben Stevens , Tim Colonius

Hybrid analog-digital signal processing (HSP) is an enabling technology to harvest the potential of millimeter-wave (mmWave) massive-MIMO communications. In this paper, we present a general deep learning (DL) framework for efficient design…

信号处理 · 电气工程与系统科学 2024-10-28 Alireza Morsali , Afshin Haghighat , Benoit Champagne

Neural operators are a new type of models that can map between function spaces, allowing trained models to emulate the solution operators of partial differential equations (PDEs). This paper proposes a multigrid Fourier neural operator…

数值分析 · 数学 2025-05-22 Zi-Hao Guo , Hou-Biao Li

Deep learning based methods, such as Convolution Neural Network (CNN), have demonstrated their efficiency in hyperspectral image (HSI) classification. These methods can automatically learn spectral-spatial discriminative features within…

计算机视觉与模式识别 · 计算机科学 2021-07-07 Yu Shen , Sijie Zhu , Chen Chen , Qian Du , Liang Xiao , Jianyu Chen , Delu Pan

Deep learning-based image reconstruction methods have achieved remarkable success in phase recovery and holographic imaging. However, the generalization of their image reconstruction performance to new types of samples never seen by the…

计算机视觉与模式识别 · 计算机科学 2022-08-17 Hanlong Chen , Luzhe Huang , Tairan Liu , Aydogan Ozcan

With the increased penetration and proliferation of Internet of Things (IoT) devices, there is a growing trend towards distributing the power of deep learning (DL) across edge devices rather than centralizing it in the cloud. This…

机器学习 · 计算机科学 2021-10-07 Yuhao Chen , Qianqian Yang , Shibo He , Zhiguo Shi , Jiming Chen

To make a good balance between performance, cost, and power consumption, a hybrid intelligent reflecting surface (IRS)-aided directional modulation (DM) network is investigated in this paper, where the hybrid IRS consists of passive and…

信息论 · 计算机科学 2023-02-15 Rongen Dong , Hangjia He , Feng Shu , Riqing Chen , Jiangzhou Wang

Among applications of deep learning (DL) involving low cost sensors, remote image classification involves a physical channel that separates edge sensors and cloud classifiers. Traditional DL models must be divided between an encoder for the…

图像与视频处理 · 电气工程与系统科学 2023-10-31 Siyu Qi , Achintha Wijesinghe , Lahiru D. Chamain , Zhi Ding

Millimeter-wave massive multiple-input multiple-output systems employ highly directional beamforming to overcome severe path loss, and their performance critically depends on accurate beam alignment. Conventional codebook-based methods…

信号处理 · 电气工程与系统科学 2026-02-26 Weijie Jin , Jing Zhang , Hengtao He , Chao-Kai Wen , Xiao Li , Shi Jin

Splitting is a method to handle application problems by splitting physics, scales, domain, and so on. Many splitting algorithms have been designed for efficient temporal discretization. In this paper, our goal is to use temporal splitting…

数值分析 · 数学 2022-08-17 Yalchin Efendiev , Wing Tat Leung , Guang Lin , Zecheng Zhang

In this work, we focus on the inverse medium scattering problem (IMSP), which aims to recover unknown scatterers based on measured scattered data. Motivated by the efficient direct sampling method (DSM) introduced in [23], we propose a…

信号处理 · 电气工程与系统科学 2023-05-02 Jianfeng Ning , Fuqun Han , Jun Zou

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

机器学习 · 计算机科学 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

Deep neural networks are powerful tools for solving nonlinear problems in science and engineering, but training highly accurate models becomes challenging as problem complexity increases. Non-convex optimization and sensitivity to…

机器学习 · 计算机科学 2026-04-20 Ethan Mulle , Wei Kang , Qi Gong

Solving high-frequency oscillatory partial differential equations (PDEs) is a critical challenge in scientific computing, with applications in fluid mechanics, quantum mechanics, and electromagnetic wave propagation. Traditional…

机器学习 · 计算机科学 2025-08-04 Xiong Xiong , Zhuo Zhang , Rongchun Hu , Chen Gao , Zichen Deng

The convergence behavior of classical iterative solvers for parametric partial differential equations (PDEs) is often highly sensitive to the domain and specific discretization of PDEs. Previously, we introduced hybrid solvers by combining…

机器学习 · 计算机科学 2025-12-17 Youngkyu Lee , Francesc Levrero Florencio , Jay Pathak , George Em Karniadakis

In this paper, we investigate the problem of hyperspectral (HS) image spatial super-resolution via deep learning. Particularly, we focus on how to embed the high-dimensional spatial-spectral information of HS images efficiently and…

计算机视觉与模式识别 · 计算机科学 2022-09-14 Jinhui Hou , Zhiyu Zhu , Junhui Hou , Huanqiang Zeng , Jinjian Wu , Jiantao Zhou

Full-duplex (FD) systems have been introduced to provide high data rates for beyond fifth-generation wireless networks through simultaneous transmission of information over the same frequency resources. However, the operation of FD systems…

信号处理 · 电气工程与系统科学 2021-10-20 Mohamed Elsayed , Ahmad A. Aziz El-Banna , Octavia A. Dobre , Wanyi Shiu , Peiwei Wang

The extreme learning machine (ELM) method can yield highly accurate solutions to linear/nonlinear partial differential equations (PDEs), but requires the last hidden layer of the neural network to be wide to achieve a high accuracy. If the…

数值分析 · 数学 2022-05-17 Naxian Ni , Suchuan Dong

The deployment of non-binary pulse amplitude modulation (PAM) and soft decision (SD)-forward error correction (FEC) in future intensity-modulation (IM)/direct-detection (DD) links is inevitable. However, high-speed IM/DD links suffer from…

信号处理 · 电气工程与系统科学 2023-09-29 Kaiquan Wu , Gabriele Liga , Jamal Riani , Alex Alvarado