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In this paper, we consider approximating the parameter-to-solution maps of parametric partial differential equations (PPDEs) using deep neural networks (DNNs). We propose an efficient approach combining reduced collocation methods (RCMs)…

数值分析 · 数学 2025-08-18 Guanhang Lei , Zhen Lei , Lei Shi , Chenyu Zeng

Highway deep neural network (HDNN) is a type of depth-gated feedforward neural network, which has shown to be easier to train with more hidden layers and also generalise better compared to conventional plain deep neural networks (DNNs).…

计算与语言 · 计算机科学 2017-03-23 Liang Lu

In recent years Deep Neural Networks (DNNs) have been rapidly developed in various applications, together with increasingly complex architectures. The performance gain of these DNNs generally comes with high computational costs and large…

机器学习 · 计算机科学 2017-12-05 Yiren Zhou , Seyed-Mohsen Moosavi-Dezfooli , Ngai-Man Cheung , Pascal Frossard

Semi-structured networks (SSNs) merge the structures familiar from additive models with deep neural networks, allowing the modeling of interpretable partial feature effects while capturing higher-order non-linearities at the same time. A…

机器学习 · 计算机科学 2024-10-15 David Rügamer , Bernard X. W. Liew , Zainab Altai , Almond Stöcker

Deep neural networks (DNNs) have achieved state-of-the-art performances in many important domains, including medical diagnosis, security, and autonomous driving. In these domains where safety is highly critical, an erroneous decision can…

机器学习 · 计算机科学 2019-06-12 Aryan Mobiny , Hien V. Nguyen , Supratik Moulik , Naveen Garg , Carol C. Wu

Deep spiking neural networks (SNNs) are promising neural networks for their model capacity from deep neural network architecture and energy efficiency from SNNs' operations. To train deep SNNs, recently, spatio-temporal backpropagation…

Deep neural networks (DNNs) play an important role in machine learning due to its outstanding performance compared to other alternatives. However, DNNs are not suitable for safety-critical applications since DNNs can be easily fooled by…

机器学习 · 计算机科学 2021-03-26 Zhixin Pan , Prabhat Mishra

Deep neural networks (DNNs) are so over-parametrized that recent research has found them to already contain a subnetwork with high accuracy at their randomly initialized state. Finding these subnetworks is a viable alternative training…

计算机视觉与模式识别 · 计算机科学 2021-11-25 Ángel López García-Arias , Masanori Hashimoto , Masato Motomura , Jaehoon Yu

Deep neural network (DNN)-based receivers offer a powerful alternative to classical model-based designs for wireless communication, especially in complex and nonlinear propagation environments. However, their adoption is challenged by the…

信号处理 · 电气工程与系统科学 2026-05-26 Yakov Gusakov , Osvaldo Simeone , Tirza Routtenberg , Nir Shlezinger

In Bayesian inverse problems, surrogate models are often constructed to speed up the computational procedure, as the parameter-to-data map can be very expensive to evaluate. However, due to the curse of dimensionality and the nonlinear…

数值分析 · 数学 2020-03-03 Liang Yan , Tao Zhou

We are interested to explore the limit in using deep learning (DL) to study the electromagnetic response for complex and random metasurfaces, without any specific applications in mind. For simplicity, we focus on a simple pure reflection…

信号处理 · 电气工程与系统科学 2024-06-19 Tianning Zhang , Chun Yun Kee , Yee Sin Ang , L. K. Ang

Graph Neural Networks (GNNs), especially message-passing neural networks (MPNNs), have emerged as powerful architectures for learning on graphs in diverse applications. However, MPNNs face challenges when modeling non-local interactions in…

Graph neural networks (GNNs) have become pivotal tools for processing graph-structured data, leveraging the message passing scheme as their core mechanism. However, traditional GNNs often grapple with issues such as instability,…

谱理论 · 数学 2026-05-20 Yuanhong Jiang , Dongmian Zou , Xiaoqun Zhang , Yu Guang Wang

Classical artificial neural networks have witnessed widespread successes in machine-learning applications. Here, we propose fermion neural networks (FNNs) whose physical properties, such as local density of states or conditional…

量子物理 · 物理学 2023-10-04 Pei-Lin Zheng , Jia-Bao Wang , Yi Zhang

Attention Branch Networks (ABNs) have been shown to simultaneously provide visual explanation and improve the performance of deep convolutional neural networks (CNNs). In this work, we introduce Multi-Scale Attention Branch Networks…

计算机视觉与模式识别 · 计算机科学 2023-06-28 Ankit Gupta , Ida-Maria Sintorn

This paper presents a framework for deep transfer learning, which aims to leverage information from multi-domain upstream data with a large number of samples $n$ to a single-domain downstream task with a considerably smaller number of…

机器学习 · 计算机科学 2025-01-07 Yuling Jiao , Huazhen Lin , Yuchen Luo , Jerry Zhijian Yang

Deep learning, as a highly efficient method for metasurface inverse design, commonly use simulation data to train deep neural networks (DNNs) that can map desired functionalities to proper metasurface designs. However, the assumptions and…

信号处理 · 电气工程与系统科学 2023-08-07 Jingxin Zhang , Jiawei Xi , Peixing Li , Ray C. C. Cheung , Alex M. H. Wong , Jensen Li

Why deep neural networks (DNNs) capable of overfitting often generalize well in practice is a mystery [#zhang2016understanding]. To find a potential mechanism, we focus on the study of implicit biases underlying the training process of…

机器学习 · 计算机科学 2019-11-04 Zhi-Qin John Xu , Yaoyu Zhang , Yanyang Xiao

The coincidence similarity index, based on a combination of the Jaccard and overlap similarity indices, has noticeable properties in comparing and classifying data, including enhanced selectivity and sensitivity, intrinsic normalization,…

神经与进化计算 · 计算机科学 2023-08-29 Alexandre Benatti , Luciano da Fontoura Costa

Multidimensional scaling is a statistical process that aims to embed high dimensional data into a lower-dimensional space; this process is often used for the purpose of data visualisation. Common multidimensional scaling algorithms tend to…

机器学习 · 计算机科学 2022-02-25 Pierre Lambert , Cyril de Bodt , Michel Verleysen , John Lee