multi-layer graph perceptron

Data

subject:: Data Science Methods for Large Scale Graphs parent:: Graph Signals and Graph Signal Processing theme:: math notes

Multi-Layer Graph Perceptron

A(n $\ell$-layer) multi-layer graph perceptron (MGLP) is simply several graph perceptrons in sequence. This forms a function with input $x_0=x$, and output $y=x_L$.

Where at each layer, $x_{\ell }=\sigma (u_{\ell })=\sigma \left({\sum }_{k=0}^{K-1}{h}_{\ell ,k}{S}^k{x}_{\ell -1}\right),1\le \ell \le L$ We call $x_{\ell }$ the $\ell$-layer embedding.

For conciseness, we define $H=\{h_{k,\ell }|0\le k\le K-1,1\le \ell \le L\}$ and represent our MLGP as $y=\Phi (x,S;H)$

Illustration

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