Dynamic Graph Condensation

Dong Chen, Shuai Zheng, Yeyu Yan, Muhao Xu, Zhenfeng Zhu, Yao Zhao, Kunlun He

Main figure for Dynamic Graph Condensation

Abstract

Recent research on deep graph learning has shifted from static to dynamic graphs, motivated by the evolving behaviors observed in complex real-world systems. However, the temporal extension in dynamic graphs poses significant data efficiency challenges, including increased data volume, high spatiotemporal redundancy, and reliance on costly dynamic graph neural networks (DGNNs). To alleviate the concerns, we pioneer the study of dynamic graph condensation (DGC), which aims to substantially reduce the scale of dynamic graphs for data-efficient DGNN training. Accordingly, we propose DyGC, a novel framework that condenses the real dynamic graph into a compact version while faithfully preserving the inherent spatiotemporal characteristics. Specifically, to endow synthetic graphs with realistic evolving structures, a novel spiking structure generation mechanism is introduced. It draws on the dynamic behavior of spiking neurons to model temporally-aware connectivity in dynamic graphs. Given the tightly coupled spatiotemporal dependencies, DyGC proposes a tailored distribution matching approach that first constructs a semantically rich state evolving field for dynamic graphs, and then performs fine-grained spatiotemporal state alignment to guide the optimization of the condensed graph. Experiments across multiple dynamic graph datasets and representative DGNN architectures demonstrate the effectiveness of DyGC. Notably, our method retains up to 96.2\

Proposed method: DyGC

Benchmark Results

Tested on 2 datasets 1 baseline value reported too low Non-standard metric on 1 dataset

Tables show presented results in global context (best 3 papers + GCN + MLP).

Classic

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Default metric is F1. The paper reports 0 values on F1 , 8 values on Micro-F1 and 1 value on Macro-F1 .

Sorted by Micro-F1. Highlighted rows are from other papers.

#ModelF1 ↑ defaultMicro-F1 ↑Macro-F1 ↑Paper
1
COLES-S²GC
0.9540
—
—
2
COLES-GCN
0.9400
—
—
3
DyGC
—
0.4610 ± 0.0060
0.4570 ± 0.0060
F1 —
Macro-F1 0.4570 ± 0.0060
This paper
4
K-Center
—
0.4220 ± 0.0090
—
F1 —
Macro-F1 —
This paper
5
Herding
—
0.4130 ± 0.0070
—
F1 —
Macro-F1 —
This paper
6
Random
—
0.3920 ± 0.0090
—
F1 —
Macro-F1 —
This paper
7
CGC
—
0.3890 ± 0.0110
—
F1 —
Macro-F1 —
This paper
8
GCDM
—
0.3270 ± 0.0100
—
F1 —
Macro-F1 —
This paper
9
SimGC
—
0.3080 ± 0.0090
—
F1 —
Macro-F1 —
This paper
10
GCond
—
0.2880 ± 0.0140
—
F1 —
Macro-F1 —
This paper

Heterogeneous Graph Benchmarks

#ModelMicro-F1 ↑Paper
1
LMSPS
0.9566 ±0.0020
2
PSHGCN
0.9561 ±0.0012
3
RpHGNN
0.9555 ±0.0029
21
GCN
0.9460 ±0.0031
34
Random
actual #34 vs paper #156 122 places worse
0.9384 ±0.0053
best reported
actual #34 vs paper #156 122 places worse
paper 0.7410 ±0.0110
paper 0.7410 ±0.0110 Δ at pub 0.1974
141
Whole
0.7920 ±0.0030
This paper
143
DyGC
0.7820 ±0.0030
This paper
158
SimGC
0.7400 ±0.0080
This paper
161
CGC
0.7290 ±0.0100
This paper
164
GCDM
0.7150 ±0.0230
This paper
169
GCond
0.6970 ±0.0170
This paper
170
Herding
0.6890 ±0.0240
This paper
171
K-Center
0.6890 ±0.0140
This paper
176
MLP
0.6447 ±0.0136
SOTA performance (not significantly different from the best) Proposed method (this paper) Baseline / comparison (this paper) Global context (other papers) Best at pub — reported result worse than the best known when published (best reported in green)