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ICLR '21 | Temporal Graph Networks For Deep Learnig On Dynamic Graphs

  • CTDG: Continous-time dynamic graphs; Timed lists of events
  • two types of events:
    • node-wise event: 更新节点attr如果没有该节点就新增一个
    • interaction event: temporal edge (multigraph )
    • 实验中暂不支持删除,不过附录中似乎讨论了删除操作

Core Moudels

Memory Module

  • 新加入的结点memory初始化为zero vector
  • $S_i(t)$是对于节点i在时间t的memory state
  • 当出现一个event之后memory state会更新

Message Function

  • Msg是用来udpate memory state的
  • Function:
    • $m_i(t)=msg_s(s_i(t^-),s_j(t^-), \delta{t},e_{ij}(t))$
    • $m_j(t)=msg_d(s_j(t^-),s_i(t^-), \delta{t},e_{ij}(t))$
    • $m_i(t)=msg_n(s_i(t^-),t,v_{i}(t))$
    • $msg$均为learnable function,例如MLPs,也有可能是identity

Message Aggregator

  • Batch processing events -> 多个不同时间的event(msg)针对同一个node
  • $\overline{m_i}(t) = agg(m_i(t_1), ..., m_i(t_b))$
  • $agg$可以是RNN或者attention,也可以是最简单的most recent msg和mean msg

Mem Updater

  • 把$m_i(t)$(message)作为输入,然后node i之前memory作为hidden state,送到LSTM(或GRU),更新hidden state,即得到新的memory.
  • $s_i(t) = mem(\overline{m_i}(t), s_i(t^-))$

Embeddings

截屏2022-04-28 下午11 14 42

  • h函数有多种实现方式
    • identity:emb(i, t) = si(t) 直接用memory
    • time projection:emb(i, t) = (1 + $\delta t w$) *si(t), w可学习(JODIE)
    • **Temporal Graph Attention
      截屏2022-04-28 下午11 22 23
  • Temporal Graph Sum

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