CIPE constructs graph positional encodings from communicability so that self-attention similarities equal the sum of all-path contributions between nodes, yielding 35.5% average gains on seven benchmarks over structure-agnostic Transformers.
Graph positional and structural encoder,
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Communicability-Inspired Positional Encoding (CIPE)
CIPE constructs graph positional encodings from communicability so that self-attention similarities equal the sum of all-path contributions between nodes, yielding 35.5% average gains on seven benchmarks over structure-agnostic Transformers.