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Graph neural networks learn on graph-structured data by exchanging and aggregating information across edges.
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Message-passing depth limits how many graph hops can influence a node in one forward pass; model behavior depends on architecture, graph and task.
In an L-layer message-passing GNN, information can propagate at most L graph hops, since each layer aggregates from immediate neighbors. Over-smoothing describes a failure mode in which repeated propagation makes node embeddings increasingly similar; it is architecture- and setting-dependent, not an inevitable convergence of every GNN. GraphSAGE learns aggregation functions for unseen nodes, while the original GCN uses symmetrically degree-normalized adjacency propagation. Molecular message passing represents atoms and bonds as graph nodes and edges.
The molecular message-passing paper represents atoms as nodes and bonds as edges for molecular property prediction.
GraphSAGE studies inductive node representations that can be computed for unseen nodes using neighborhood features.
GCN and GAT papers provide distinct examples of degree-normalized propagation and learned neighbor attention.
Deep message passing can produce over-smoothing in some architectures, where node representations become less distinguishable.
These cited papers establish specific graph-learning methods and evaluated tasks. They do not establish that GNNs outperform other model families broadly; any comparison should name the dataset, task and baseline.
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Graph neural networks learn on graph-structured data by exchanging and aggregating information across edges. Message-passing depth limits how many graph hops can influence a node in one forward pass; model behavior depends on architecture, graph and task.
Los GNN funcionan haciendo que cada nodo recopile y agregue mensajes de sus vecinos, luego actualice su propia representación, repetida en todas las capas.
Dado que no existe un orden canónico para los vecinos de un nodo, operaciones como suma, media o máximo garantizan que la salida no dependa de cómo se enumeran los vecinos.
Over-smoothing is a possible failure mode in some deep message-passing GNNs: node embeddings can become increasingly similar as layers are stacked. It is not inevitable for every architecture, graph, or task.
GAT learns attention weights over neighbors. The standard GCN uses a degree-normalized adjacency propagation rule rather than uniform unnormalized weights.
The cited molecular message-passing paper represents atoms as nodes and bonds as edges; this is an application example, not a broad claim that GNNs outperform other methods.
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