Some basic concepts about graph
Graph A graph $\mathcal G$ has nodes $\mathcal V$ and edges $\mathcal E$, $$ \mathcal G = ( \mathcal …
Local Statistics Node Degree Node Degree Node degree of a node $u$ $$ d_u = \sum_{v\in \mathcal V} …
Some basic concepts about graph and traditional algorithms
The [[Ratio Cut]] Graph Cuts Cut For a subset of nodes $\mathcal A\subset \mathcal V$, the rest of …
Mix-hop is a strategy to avoid oversmoothing in GNN
Graphs can be used in many problem and there are many possible problems on graphs. We will mention a …
mind the data structure: here comes the graph
We can learn a graph structure without prior knowledge
Key Components Time Convolution (TC) Module Time Convolution The temporal convolution is responsible …
Over-smoothing is the problem that the representations on each node of the graph neural networks …
Edge sampling is a technique to deal with weighted edges in large [[graph]] What is Graph Graph A …
What problem is StemGNN solving: intra-series temporal pattern: DFT Each series inter-series …
For a given graph $\mathcal G$, we have an attribute on each node, denoted as $f_v$. All the node …
The Katz index is $$ \mathbf S_{\text{Katz}}[u,v] = \sum_{i=1}^\infty \beta^i \mathbf A^i[u, v], $$ …
The LHN index is a normalized similarity index. From Katz Index to LHN Index [[Katz Index]] Graph …
Random Walk Construct a stochastic transfer matrix $P$ by normalizing the adjacency matrix $\mathbf …
For two graphs, $\mathcal G$ and $\mathcal H$, the two graphs are isomorphism on the following …
The Adamic Adar (AA) index is1 $$ \mathbf S_{\text{AA}}[v_1,v_2] = \sum_{u\in\mathcal N(u) \cap …
The Resource Allocation (RA) index is $$ \mathbf S_{\text{RA}}[v_1,v_2] = \sum_{u\in\mathcal N(u) …