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Original file line number Diff line number Diff line change
Expand Up @@ -122,7 +122,7 @@
"<img src=\"https://recodatasets.z20.web.core.windows.net/images/High_order_connectivity.png\" width=500 style=\"display:block; margin-left:auto; margin-right:auto;\">\n",
"\n",
"The high-order connectivity shows the collaborative signal in a graph form. For example, the path $u_1 ← i_2 ← u2$ indicates the behavior\n",
"similarity between $u_1$ and $u_2$, as both users have interacted with $i_2$; the longer path $u_1 ← i_2 ← u_2 ← i_4$ suggests that $u_1$ is likely to adopt $i_4$, since her similar user $u_2$ has consumed $i_4$ before. Moreover, from the holistic view of $l = 3$, item $i_4$ is more likely to be of interest to $u_1$ than item $i_5$, since there are two paths connecting $<i_4,u_1>$, while only one path connects $<i_5,u_1>$.\n",
"similarity between $u_1$ and $u_2$, as both users have interacted with $i_2$; the longer path $u_1 ← i_2 ← u_2 ← i_4$ suggests that $u_1$ is likely to adopt $i_4$, since her similar user $u_2$ has consumed $i_4$ before. Moreover, from the holistic view of $l = 3$, item $i_4$ is more likely to be of interest to $u_1$ than item $i_5$, since there are two paths connecting $(i_4,u_1)$, while only one path connects $(i_5,u_1)$.\n",
"\n",
"Based on this high-order connectivity, NGCF [4] defines an embedding propagation layer, which refines a user’s (or an item’s) embedding by aggregating the embeddings of the interacted items (or users). By stacking multiple embedding propagation layers, we can enforce the embeddings\n",
"to capture the collaborative signal in high-order connectivities.\n",
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