Binarized Simplicial Convolutional Neural Networks

IF 6 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Yi Yan, Ercan Engin Kuruoglu
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引用次数: 0

Abstract

Graph Neural Networks have the limitation of processing features solely on graph nodes, neglecting data on high-dimensional structures such as edges and triangles. Simplicial Convolutional Neural Networks (SCNN) represent high-order structures using simplicial complexes to break this limitation but still lack time efficiency. In this paper, a novel neural network architecture named Binarized Simplicial Convolutional Neural Networks (Bi-SCNN) is proposed based on the combination of simplicial convolution with a weighted binary-sign forward propagation strategy. The utilization of the Hodge Laplacian on a weighted binary-sign forward propagation enables Bi-SCNN to efficiently and effectively represent simplicial features with higher-order structures, surpassing the capabilities of traditional graph node representations. The Bi-SCNN achieves reduced model complexity compared to previous SSCN variants through binarization and normalization, also serving as intrinsic nonlinearities of Bi-SCNN; this enables Bi-SCNN to shorten the execution time without compromising prediction performance and makes Bi-SCNN less prone to over-smoothing. Experimenting with real-world citation and ocean-drifter data confirmed that our proposed Bi-SCNN is efficient and accurate.
二值化简单卷积神经网络
图神经网络只处理图节点上的特征,而忽略了高维结构(如边和三角形)上的数据。简单卷积神经网络(SCNN)利用简单复合体来表示高阶结构,打破了这一限制,但仍然缺乏时间效率。本文提出了一种基于简单卷积和加权二元符号前向传播策略相结合的新型神经网络结构——二值化简单卷积神经网络(Bi-SCNN)。在加权二符号前向传播中利用霍奇拉普拉斯算子,使Bi-SCNN能够高效、有效地表示具有高阶结构的简单特征,超越了传统图节点表示的能力。与以前的SSCN变体相比,Bi-SCNN通过二值化和归一化实现了模型复杂度的降低,同时也作为Bi-SCNN的固有非线性;这使得Bi-SCNN能够在不影响预测性能的情况下缩短执行时间,并使Bi-SCNN不容易过度平滑。实际引用和海洋漂移数据的实验证实了我们提出的Bi-SCNN是高效和准确的。
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来源期刊
Neural Networks
Neural Networks 工程技术-计算机:人工智能
CiteScore
13.90
自引率
7.70%
发文量
425
审稿时长
67 days
期刊介绍: Neural Networks is a platform that aims to foster an international community of scholars and practitioners interested in neural networks, deep learning, and other approaches to artificial intelligence and machine learning. Our journal invites submissions covering various aspects of neural networks research, from computational neuroscience and cognitive modeling to mathematical analyses and engineering applications. By providing a forum for interdisciplinary discussions between biology and technology, we aim to encourage the development of biologically-inspired artificial intelligence.
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