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Diffractive optical neural networks (DONNs) have attracted lots of attention as they bring significant advantages in terms of power efficiency, parallelism, and computational speed compared with conventional deep neural networks (DNNs),…

人工智能 · 计算机科学 2022-09-29 Yingjie Li , Ruiyang Chen , Weilu Gao , Cunxi Yu

Deep neural networks (DNNs) recently emerged as a promising tool for analyzing and solving complex differential equations arising in science and engineering applications. Alternative to traditional numerical schemes, learning-based solvers…

数值分析 · 数学 2023-08-09 Yuan Lan , Zhen Li , Jie Sun , Yang Xiang

Semantic segmentation and lane detection are crucial tasks in autonomous driving systems. Conventional approaches predominantly rely on deep neural networks (DNNs), which incur high energy costs due to extensive analog-to-digital…

计算机视觉与模式识别 · 计算机科学 2026-02-25 Yingjie Li , Daniel Robinson , Weilu Gao , Cunxi Yu

To better understand and improve the behavior of neural networks, a recent line of works bridged the connection between ordinary differential equations (ODEs) and deep neural networks (DNNs). The connections are made in two folds: (1) View…

机器学习 · 计算机科学 2019-11-05 Xinshi Chen

This paper proposes a sparse Bayesian treatment of deep neural networks (DNNs) for system identification. Although DNNs show impressive approximation ability in various fields, several challenges still exist for system identification…

系统与控制 · 电气工程与系统科学 2022-06-02 Hongpeng Zhou , Chahine Ibrahim , Wei Xing Zheng , Wei Pan

Deep Neural Networks (DNNs) have recently shown state of the art performance on semantic segmentation tasks, however, they still suffer from problems of poor boundary localization and spatial fragmented predictions. The difficulties lie in…

计算机视觉与模式识别 · 计算机科学 2018-10-29 Peng Jiang , Fanglin Gu , Yunhai Wang , Changhe Tu , Baoquan Chen

Deep Neural Networks (DNNs) training can be difficult due to vanishing and exploding gradients during weight optimization through backpropagation. To address this problem, we propose a general class of Hamiltonian DNNs (H-DNNs) that stem…

机器学习 · 计算机科学 2023-01-02 Clara Lucía Galimberti , Luca Furieri , Liang Xu , Giancarlo Ferrari-Trecate

Deep neural networks (DNNs) have been widely used to solve partial differential equations (PDEs) in recent years. In this work, a novel deep learning-based framework named Particle Weak-form based Neural Networks (ParticleWNN) is developed…

机器学习 · 计算机科学 2023-11-14 Yaohua Zang , Gang Bao

Ensuring solution feasibility is a key challenge in developing Deep Neural Network (DNN) schemes for solving constrained optimization problems, due to inherent DNN prediction errors. In this paper, we propose a ``preventive learning''…

机器学习 · 计算机科学 2023-05-18 Tianyu Zhao , Xiang Pan , Minghua Chen , Steven H. Low

Deep neural networks (DNNs) and decision trees (DTs) are both state-of-the-art classifiers. DNNs perform well due to their representational learning capabilities, while DTs are computationally efficient as they perform inference along one…

计算机视觉与模式识别 · 计算机科学 2022-11-22 Noam Gottlieb , Michael Werman

Deep neural networks (DNN) have been widely used and play a major role in the field of computer vision and autonomous navigation. However, these DNNs are computationally complex and their deployment over resource-constrained platforms is…

机器学习 · 计算机科学 2022-08-01 Mee Seong Im , Venkat R. Dasari

Recent advancements in optical computing have garnered considerable research interests owing to its ener-gy-efficient operation and ultralow latency characteristics. As an emerging framework in this domain, dif-fractive deep neural networks…

应用物理 · 物理学 2025-06-24 Yudong Tian , Haifeng Xu , Yuqing Liu , Xiangyu Zhao , Jingzhu Shao , Jierong Cheng , Chongzhao Wu

Failure probability estimation problem is an crucial task in engineering. In this work we consider this problem in the situation that the underlying computer models are extremely expensive, which often arises in the practice, and in this…

统计方法学 · 统计学 2023-02-15 Hongji Wang , Tiexin Guo , Jinglai Li , Hongqiao Wang

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

数值分析 · 数学 2020-02-26 Kailai Xu , Eric Darve

Laser-based manufacturing has emerged as a promising alternative to conventional thermal and mechanical processing owing to its precision, versatility, and ability to work across diverse materials. In particular, tailoring the spatial…

光学 · 物理学 2025-09-18 Bharathy Jacob , John Rozario Jegaraj , Nithyanandan Kanagaraj

Among many unsolved puzzles in theories of Deep Neural Networks (DNNs), there are three most fundamental challenges that highly demand solutions, namely, expressibility, optimisability, and generalisability. Although there have been…

机器学习 · 计算机科学 2018-11-27 Hao Shen

Recently, deep neural network (DNN) has been widely adopted in the design of intelligent communication systems thanks to its strong learning ability and low testing complexity. However, most current offline DNN-based methods still suffer…

信息论 · 计算机科学 2022-02-08 Jiabao Gao , Caijun Zhong , Geoffrey Ye Li , Zhaoyang Zhang

All-optical diffractive neural networks (DNNs) offer a promising alternative to electronics-based neural network processing due to their low latency, high throughput, and inherent spatial parallelism. However, the lack of reconfigurability…

The neural network method of solving differential equations is used to approximate the electric potential and corresponding electric field in the slit-well microfluidic device. The device's geometry is non-convex, making this a challenging…

计算物理 · 物理学 2020-07-29 Martin Magill , Andrew M. Nagel , Hendrick W. de Haan

Deep neural networks (DNNs) have been widely applied to solve real-world regression problems. However, selecting optimal network structures remains a significant challenge. This study addresses this issue by linking neuron selection in DNNs…

统计计算 · 统计学 2025-09-30 Noah Yi-Ting Hung , Li-Hsiang Lin , Vince D. Calhoun