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Temporal Spiking Neural Networks with Synaptic Delay for Graph Reasoning

ICML 2024 · Graph learning › Knowledge and temporal graphs · approach: Temporal knowledge graph reasoning · 1 citations (OpenAlex)

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Proposes GRSNN, a spiking neural network that encodes relations via learnable synaptic delays and temporal coding to perform knowledge graph and homogeneous graph link prediction as a neural generalization of path formulations.

Problem

Whether spiking neural networks can perform human-like graph reasoning (link prediction in knowledge graphs and graphs) by exploiting spiking time and synaptic delays, which prior SNN work has not systematically done at the network level.

Approach

Use learnable synaptic delays (conditioned on edge and query relations) as an extra temporal dimension to encode relation/edge properties, with spike-time decoding, so the SNN propagates all paths from a source node simultaneously as a neural generalization of path formulations and Dijkstra's algorithm.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add synaptic-delay relation encoding instead of no relation encodingSNN · FB15k-237MR: 396 -> 139Helped
Add synaptic-delay relation encoding instead of no relation encodingSNN · FB15k-237MRR: 0.204 -> 0.368Helped
Add synaptic-delay relation encoding instead of no relation encodingSNN · FB15k-237HITS@1: 0.119 -> 0.275Helped
Add synaptic-delay relation encoding instead of no relation encodingSNN · FB15k-237HITS@3: 0.226 -> 0.407Helped
Add synaptic-delay relation encoding instead of no relation encodingSNN · FB15k-237HITS@10: 0.380 -> 0.551Helped
Use synaptic delays instead of synaptic weights to encode relationsSNN · FB15k-237MR: 197 -> 139Helped
Use synaptic delays instead of synaptic weights to encode relationsSNN · FB15k-237MRR: 0.311 -> 0.368Helped
Use synaptic delays instead of synaptic weights to encode relationsSNN · FB15k-237HITS@1: 0.220 -> 0.275Helped
Use synaptic delays instead of synaptic weights to encode relationsSNN · FB15k-237HITS@3: 0.343 -> 0.407Helped
Use synaptic delays instead of synaptic weights to encode relationsSNN · FB15k-237HITS@10: 0.491 -> 0.551Helped

Surprising findings

Limitations

Experimental setup

Datasets: FB15k-237 WN18RR FB15k-237 inductive splits v1-v4 WN18RR inductive splits v1-v4 Cora CiteSeer PubMed

Benchmarks: FB15k-237 WN18RR FB15k-237 inductive v1-v4 WN18RR inductive v1-v4 Cora CiteSeer PubMed

Metrics: MR MRR Hits@1 Hits@3 Hits@10 AUROC AP spike rate energy estimate

Baselines: NBFNet DistMult RotatE CompGCN R-GCN GraIL Synaptic weight SNN variant No-relation SNN variant

Builds on: NBFNet Dijkstra's algorithm surrogate gradient training of SNNs DistMult

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