𝗗𝗮𝘆-𝟮𝟮𝟯 𝗖𝗼𝗺𝗽𝘂𝘁𝗲𝗿 𝗩𝗶𝘀𝗶𝗼𝗻 𝗟𝗲𝗮𝗿𝗻𝗶𝗻𝗴 𝗘𝗹𝗮𝘀𝘁𝗶𝗰 𝗚𝗿𝗮𝗽𝗵 𝗡𝗲𝘂𝗿𝗮𝗹 𝗡𝗲𝘁𝘄𝗼𝗿𝗸𝘀 Follow me for a similar post: 🇮🇳 Ashish Patel Interesting Facts : 🔸 This is a paper in ICML2021. ------------------------------------------------------------------- 𝗔𝗺𝗮𝘇𝗶𝗻𝗴 𝗥𝗲𝘀𝗲𝗮𝗿𝗰𝗵 : https://lnkd.in/dkJrwyrc Code : https://lnkd.in/duHHK929 ------------------------------------------------------------------- 𝗜𝗠𝗣𝗢𝗥𝗧𝗔𝗡𝗖𝗘 🔸 While many existing graph neural networks (GNNs) have been proven to perform ℓ2-based graph smoothing that enforces smoothness globally, in this work we aim to further enhance the local smoothness adaptivity of GNNs via ℓ1-based graph smoothing. 🔸As a result, we introduce a family of GNNs (Elastic GNNs) based on ℓ1 and ℓ2-based graph smoothing. In particular, we propose a novel and general message passing scheme into GNNs. 🔸This message passing algorithm is not only friendly to back-propagation training but also achieves the desired smoothing properties with a theoretical convergence guarantee. 🔸Experiments on semi-supervised learning tasks demonstrate that the proposed Elastic GNNs obtain better adaptivity on benchmark datasets and are significantly robust to graph adversarial attacks. #computervision #artificialintelligence #data
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