Symbol v

The passage around this formula

…information can propagate across the globe within a single forward pass; a decoder then reads the updated mesh back out to the original grid to produce the forecast. In general form, a message-passing update for a node v with neighbours $\mathcal{N}(v)$ looks like $h_v^{(k+1)} = \phi\left(h_v^{(k)}, \bigoplus_{u \in \mathcal{N}(v)} \psi\left(h_v^{(k)}, h_u^{(k)}, e_{uv}\right)\right)$. where $h_v^{(k)}$ is node v ’s representation after k rounds of message passing, $e_{uv}$ is the edge connecting it to neighbour u , and $\psi$ and $\phi$ are learned functions — the same general operation GNoME’s crystal-graph network…

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