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In this work, we are interested in generalizing convolutional neural networks (CNNs) from low-dimensional regular grids, where image, video and speech are represented, to high-dimensional irregular domains, such as social networks, brain…

机器学习 · 计算机科学 2017-02-07 Michaël Defferrard , Xavier Bresson , Pierre Vandergheynst

The black-box nature of Convolutional Neural Networks (CNNs) and their reliance on large datasets limit their use in complex domains with limited labeled data. Physics-Guided Neural Networks (PGNNs) have emerged to address these limitations…

计算机视觉与模式识别 · 计算机科学 2024-09-04 Kishor Datta Gupta , Marufa Kamal , Rakib Hossain Rifat , Mohd Ariful Haque , Roy George

Binary neural networks (BNNs), where both weights and activations are binarized into 1 bit, have been widely studied in recent years due to its great benefit of highly accelerated computation and substantially reduced memory footprint that…

计算机视觉与模式识别 · 计算机科学 2021-01-01 Zhuo Su , Linpu Fang , Deke Guo , Dewen Hu , Matti Pietikäinen , Li Liu

In this paper, we present a hypergraph neural networks (HGNN) framework for data representation learning, which can encode high-order data correlation in a hypergraph structure. Confronting the challenges of learning representation for…

机器学习 · 计算机科学 2019-02-26 Yifan Feng , Haoxuan You , Zizhao Zhang , Rongrong Ji , Yue Gao

Currently, increasingly deeper neural networks have been applied to improve their accuracy. In contrast, We propose a novel wider Convolutional Neural Networks (CNN) architecture, motivated by the Multi-column Deep Neural Networks and the…

计算机视觉与模式识别 · 计算机科学 2018-10-10 Xiaobo Huang

Recently, many deep networks have introduced hypercomplex and related calculations into their architectures. In regard to convolutional networks for classification, these enhancements have been applied to the convolution operations in the…

计算机视觉与模式识别 · 计算机科学 2023-01-12 Nazmul Shahadat , Anthony S. Maida

Wavelets are well known for data compression, yet have rarely been applied to the compression of neural networks. This paper shows how the fast wavelet transform can be used to compress linear layers in neural networks. Linear layers still…

机器学习 · 计算机科学 2020-08-21 Moritz Wolter , Shaohui Lin , Angela Yao

Graph convolution networks (GCNs) are currently mainstream in learning with irregular data. These models rely on message passing and attention mechanisms that capture context and node-to-node relationships. With multi-head attention, GCNs…

机器学习 · 计算机科学 2022-03-28 Hichem Sahbi

We propose a \emph{hybrid} real- and complex-valued \emph{neural network} (HNN) architecture, designed to combine the computational efficiency of real-valued processing with the ability to effectively handle complex-valued data. We…

机器学习 · 计算机科学 2025-04-07 Alex Young , Luan Vinícius Fiorio , Bo Yang , Boris Karanov , Wim van Houtum , Ronald M. Aarts

This paper proposes a new mean-field framework for over-parameterized deep neural networks (DNNs), which can be used to analyze neural network training. In this framework, a DNN is represented by probability measures and functions over its…

机器学习 · 统计学 2020-07-06 Cong Fang , Jason D. Lee , Pengkun Yang , Tong Zhang

Deep neural networks (DNNs) have achieved significant success in a variety of real world applications, i.e., image classification. However, tons of parameters in the networks restrict the efficiency of neural networks due to the large model…

机器学习 · 计算机科学 2019-08-21 Yuzhe Ma , Ran Chen , Wei Li , Fanhua Shang , Wenjian Yu , Minsik Cho , Bei Yu

We study the family of functions that are represented by a linear convolutional neural network (LCN). These functions form a semi-algebraic subset of the set of linear maps from input space to output space. In contrast, the families of…

机器学习 · 计算机科学 2022-06-09 Kathlén Kohn , Thomas Merkh , Guido Montúfar , Matthew Trager

Deep neural networks (DNNs) are usually over-parameterized to increase the likelihood of getting adequate initial weights by random initialization. Consequently, trained DNNs have many redundancies which can be pruned from the model to…

机器学习 · 计算机科学 2020-09-18 Lukas Enderich , Fabian Timm , Wolfram Burgard

Why do deep neural networks (DNNs) benefit from very high dimensional parameter spaces? Their huge parameter complexities vs stunning performance in practice is all the more intriguing and not explainable using the standard theory of model…

机器学习 · 计算机科学 2025-06-12 Ke Sun , Frank Nielsen

Material characterization using electron micrographs is a crucial but challenging task with applications in various fields, such as semiconductors, quantum materials, batteries, etc. The challenges in categorizing electron micrographs…

机器学习 · 计算机科学 2024-08-22 Sakhinana Sagar Srinivas , Rajat Kumar Sarkar , Sreeja Gangasani , Venkataramana Runkana

It is frequently observed that overparameterized neural networks generalize well. Regarding such phenomena, existing theoretical work mainly devotes to linear settings or fully-connected neural networks. This paper studies the learning…

机器学习 · 统计学 2023-08-17 Tian-Yi Zhou , Xiaoming Huo

The field of neural networks has seen significant advances in recent years with the development of deep and convolutional neural networks. Although many of the current works address real-valued models, recent studies reveal that neural…

计算机视觉与模式识别 · 计算机科学 2021-12-14 Marco Aurélio Granero , Cristhian Xavier Hernández , Marcos Eduardo Valle

Analysis of over-parameterized neural networks has drawn significant attention in recentyears. It was shown that such systems behave like convex systems under various restrictedsettings, such as for two-level neural networks, and when…

机器学习 · 计算机科学 2019-11-19 Cong Fang , Yihong Gu , Weizhong Zhang , Tong Zhang

Many state-of-the-art neural models for NLP are heavily parameterized and thus memory inefficient. This paper proposes a series of lightweight and memory efficient neural architectures for a potpourri of natural language processing (NLP)…

计算与语言 · 计算机科学 2019-06-12 Yi Tay , Aston Zhang , Luu Anh Tuan , Jinfeng Rao , Shuai Zhang , Shuohang Wang , Jie Fu , Siu Cheung Hui

Deep learning models like Transformers and Convolutional Neural Networks (CNNs) have revolutionized various domains, but their parameter-intensive nature hampers deployment in resource-constrained settings. In this paper, we introduce a…

机器学习 · 计算机科学 2024-01-31 Onur Can Koyun , Behçet Uğur Töreyin