Oversquashing可以理解为,当前节点i没有受到与节点i距离为r的节点s的某些输入特征的影响。理论上,作者从雅可比 \partial h_{i}^{(r)} / \partial x_{s} \\ 来度量过度挤压效应。 「Lemma 1. Let i, s \in V with s \in S_{r+1}(i). If \left|\nabla \phi_{\ell}\right| \leq \alpha...
在图神经网络(GNN)中,"over-smoothing" 和 "over-squashing" 是两种不同的问题,它们影响网络的性能和学习能力。 1. Over-Smoothing: 定义:Over-smoothing 是指随着图神经网络层数的增加,节点特征变得越来越相似,最终在高层次上收敛到一个相似或相同的状态。这导致不同节点之间的特征区分度降低,使得GNN难以捕捉到...
Repository of the paper "On the Trade-off between Over-smoothing and Over-squashing in Deep Graph Neural Networks" published in ACM CIKM 2023 - jhonygiraldo/SJLR
Over-squashingOver-smoothingMaximal independent setsGraph Neural Networks (GNNs) have significantly advanced graph-level prediction tasks by utilizing efficient convolution and pooling techniques. However, traditional pooling methods in GNNs often fail to preserve key properties, leading to challenges such ...
For this purpose, we introduce a new edge-based combinatorial curvature and prove that negatively curved edges are responsible for the over-squashing issue. We also propose and experimentally test a curvature-based graph rewiring method to alleviate the over-squashing. 展开 ...
[3] After the meeting was over and Momonga left, she share the same sentiment as Mare, thinking that her master's Despair Aura emanated by him was squashing her flat. Nonetheless, Aura informs her fellow Floor Guardians that she believes Ainz was a benevolent master around herself and Mare...
The problem is that if you work with software/lib for so long, you realize that most if not all software are buggy or have limitations.You can't expect everything to be perfect. Sometimes something just works/don't work and nobody knows why. Need lots of shortcuts/hacks just to make...
I’ve tried changing things around to narrow down the problem and I’m almost convinced it’s from the routes. The button works fine when I link to other pages. fml. I’ve been up for too long. I can link to the Stack overflow question WHICH NO ONE WANTS TO ANSWER if you need ...
Reageer op opmerkingen, accepteer de suggestie of leg uit waarom de voorgestelde wijziging niet ideaal is. Voor goede suggesties buiten het bereik van de pull-aanvraag maakt u nieuwe werkitems, vertakkingen en PULL's om deze wijzigingen aan te brengen.Revisore...
hindering deep representation learning and information propagation from distant nodes. Our work reveals that over-smoothing and over-squashing are intrinsically related to the spectral gap of the graph Laplacian, resulting in an inevitable trade-off between these two issues, as they cannot be alleviate...