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Rayleigh wave dispersion curves have been widely used in near-surface studies, and are primarily inverted for the shear wave (S-wave) velocity profiles. However, the inverse problem is ill-posed, non-unique and nonlinear. Here, we introduce…

地球物理 · 物理学 2023-10-24 Rohan Sharma , Divakar Vashisth , Bharath Shekar

Recently, data-driven approaches motivated by modern deep learning have been applied to optical communications in place of traditional model-based counterparts. The application of deep neural networks (DNN) allows flexible statistical…

信号处理 · 电气工程与系统科学 2019-11-25 Toshiaki Koike-Akino , Ye Wang , David S. Millar , Keisuke Kojima , Kieran Parsons

Full-waveform inversion (FWI) is a widely used technique in seismic processing to produce high resolution Earth models that fully explain the recorded seismic data. FWI is a local optimisation problem which aims to minimise in a…

地球物理 · 物理学 2019-11-22 Christopher Zerafa , Pauline Galea , Cristiana Sebu

Graph neural networks (GNNs) integrate deep architectures and topological structure modeling in an effective way. However, the performance of existing GNNs would decrease significantly when they stack many layers, because of the…

机器学习 · 计算机科学 2021-07-07 Kaixiong Zhou , Xiao Huang , Daochen Zha , Rui Chen , Li Li , Soo-Hyun Choi , Xia Hu

The success of deep learning has inspired recent interests in applying neural networks in statistical inference. In this paper, we investigate the use of deep neural networks for nonparametric regression with measurement errors. We propose…

机器学习 · 统计学 2020-07-16 Zhirui Hu , Zheng Tracy Ke , Jun S Liu

In this paper we propose a {\it discontinuous} plane wave neural network (DPWNN) method with $hp-$refinement for approximately solving Helmholtz equation and time-harmonic Maxwell equations. In this method, we define a quadratic functional…

数值分析 · 数学 2024-03-06 Long Yuan , Qiya Hu

Deep-predictive-coding networks (DPCNs) are hierarchical, generative models. They rely on feed-forward and feed-back connections to modulate latent feature representations of stimuli in a dynamic and context-sensitive manner. A crucial…

人工智能 · 计算机科学 2021-09-27 Isaac J. Sledge , Jose C. Principe

Deep neural networks have achieved remarkable success in computer vision tasks. Existing neural networks mainly operate in the spatial domain with fixed input sizes. For practical applications, images are usually large and have to be…

计算机视觉与模式识别 · 计算机科学 2020-04-02 Kai Xu , Minghai Qin , Fei Sun , Yuhao Wang , Yen-Kuang Chen , Fengbo Ren

While it is widely known that neural networks are universal approximators of continuous functions, a less known and perhaps more powerful result is that a neural network with a single hidden layer can approximate accurately any nonlinear…

机器学习 · 计算机科学 2021-11-03 Lu Lu , Pengzhan Jin , George Em Karniadakis

Recent works show an intriguing phenomenon of Frequency Principle (F-Principle) that deep neural networks (DNNs) fit the target function from low to high frequency during the training, which provides insight into the training and…

机器学习 · 计算机科学 2020-10-19 Tao Luo , Zheng Ma , Zhi-Qin John Xu , Yaoyu Zhang

Deep neural networks (DNNs) have recently achieved impressive success across a wide range of real-world vision and language processing tasks, spanning from image classification to many other downstream vision tasks, such as object…

机器学习 · 计算机科学 2025-12-23 Xiangzhong Luo , Di Liu , Hao Kong , Shuo Huai , Hui Chen , Guochu Xiong , Weichen Liu

Deep neural networks (DNN) have achieved great success in image restoration. However, most DNN methods are designed as a black box, lacking transparency and interpretability. Although some methods are proposed to combine traditional…

计算机视觉与模式识别 · 计算机科学 2022-04-29 Chong Mou , Qian Wang , Jian Zhang

Over the past decade, deep learning research has been accelerated by increasingly powerful hardware, which facilitated rapid growth in the model complexity and the amount of data ingested. This is becoming unsustainable and therefore…

机器学习 · 计算机科学 2024-02-08 Damian Owerko , Charilaos I. Kanatsoulis , Alejandro Ribeiro

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

Deep neural networks (DNNs) are state-of-the-art algorithms for multiple applications, spanning from image classification to speech recognition. While providing excellent accuracy, they often have enormous compute and memory requirements.…

机器学习 · 计算机科学 2020-11-12 Ussama Zahid , Giulio Gambardella , Nicholas J. Fraser , Michaela Blott , Kees Vissers

A new penalty-free neural network method, PFNN-2, is presented for solving partial differential equations, which is a subsequent improvement of our previously proposed PFNN method [1]. PFNN-2 inherits all advantages of PFNN in handling the…

数值分析 · 数学 2022-05-03 Hailong Sheng , Chao Yang

Deep learning techniques are increasingly applied to scientific problems, where the precision of networks is crucial. Despite being deemed as universal function approximators, neural networks, in practice, struggle to reduce the prediction…

机器学习 · 计算机科学 2023-07-19 Yongji Wang , Ching-Yao Lai

Deep neural networks (DNNs) sustain high performance in today's data processing applications. DNN inference is resource-intensive thus is difficult to fit into a mobile device. An alternative is to offload the DNN inference to a cloud…

分布式、并行与集群计算 · 计算机科学 2021-01-18 Beibei Zhang , Tian Xiang , Hongxuan Zhang , Te Li , Shiqiang Zhu , Jianjun Gu

Fixed-point optimization of deep neural networks plays an important role in hardware based design and low-power implementations. Many deep neural networks show fairly good performance even with 2- or 3-bit precision when quantized weights…

机器学习 · 计算机科学 2017-02-28 Sungho Shin , Yoonho Boo , Wonyong Sung

This paper proposes a new deep convolutional neural network (DCNN) architecture that learns pixel embeddings, such that pairwise distances between the embeddings can be used to infer whether or not the pixels lie on the same region. That…

计算机视觉与模式识别 · 计算机科学 2016-01-11 Adam W. Harley , Konstantinos G. Derpanis , Iasonas Kokkinos