TWDLCAA24DRF 由于高度的復雜性和信息的結構特征，圖上的機器學習是一項困難的任務。「GCN是被設計用來針對圖結構的神經網絡，它能從之前的網絡層中聚合信息。在圖中，這種機制能夠對節點產生有用的特征表示。」
GCN是基于圖機器學習的非常強大的神經網絡體系結構。
實際上，它們是如此強大，以至于隨機發起的2層GCN都可以產生網絡中節點的有用特征表示。
下圖說明了由此類GCN生成的網絡中每個節點的二維表示。請注意，即使沒有任何訓練，網絡中節點的相對接近度仍保留在二維表示中。
更正式地說，圖卷積網絡（GCN）是在圖上運行的神經網絡。給定圖G =（V，E），V表示節點，E表示邊，則GCN作為輸入
輸入特征矩陣X（N×F?），其中N是節點數，F?是每個節點的輸入特征數，以及圖結構的N×N矩陣表示形式，例如G的鄰接矩陣A
因此，GCN中的隱藏層可以寫成H?= f（H???，A））。
其中H?= X，f是傳播（propagation）方式。每一層H?對應于一個N×Fi特征矩陣，其中每一行是一個節點的特征表示。在每一層，使用傳播規則f聚合這些特征，以形成下一層的特征。這樣，特征在連續層上變得越來越抽象。在此框架中，GCN的變體僅在傳播規則f的選擇上有所不同。
一個簡單的傳播規則
傳播規則中最簡單的一種是：
f（H?，A）=σ（AH?W?）
其中W?是第i層的權重矩陣，而σ是非線性激活函數，例如ReLU函數。權重矩陣的尺寸為F?×F???；換句話說，權重矩陣的第二維的大小確定了下一層的特征數量。如果你熟悉卷積神經網絡，則此操作類似于過濾操作（filtering operation），因為這些權重在圖中的節點之間共享。
簡化
讓我們從最簡單的角度檢查傳播規則：
i = 1，滿足 f是輸入特征矩陣的函數
σ是恒等函數
選擇權重 AH?W?=AXW?= AX
換句話說，f（X，A）= AX。這個傳播規則可能有點太簡單了，稍后我們會添加缺失的部分。AX現在等效于多層感知器的輸入層。
TWDLCAA24DRF
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B 1FK6032-6AF71-1SH0
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B 1FK6032-6AF71-1TH0
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B 1FK6032-6AK71-1TA0
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B 1FK6042-6AF71-1AA0
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B 1FK6042-6AF71-1SH0
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B 1FK6042-6AF71-1TH0
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B 1FK6060-6AF71-1AG0
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B 1FK6060-6AF71-1EG0
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B 1FK6060-6AF71-1SG0
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B 1FK6060-6AF71-1TG0
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B 1FK6063-6AF71-1AG0
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B 1FT5020-OAC01-0-Z:G54
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A 6EV3055-0CC
A 6EV3055-0DC
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A 6FX1121-4BB01
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A 6FX1125-7BA00
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A 6FX1125-8AA04
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A 6FX1126-7BA01
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A 6FX1128-1BF00
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A 6FX1132-1BA01
A 6FX1132-1BB01
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A 6FX1135-6BA01
A 6FX1136-8BB00
A 6FX1137-3BA00
A 6FX1138-5BB04
A 6FX1138-6BB00
A 6FX1138-6BK01
A 6FX1138-6BL01
A 6FX1144-2BA00
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