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Multi-resolution Spectral Coherence for Graph Generation with Score-based Diffusion

NeurIPS 2023 · Graph learning › Graph self-supervised learning · approach: Diffusion-based graph generation · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add multi-resolution wavelet spectral coherence to the score model (Wave-GD vs GDSS)GDSS · Ego-smallaverage MMD: 0.017 -> 0.009Helped
add multi-resolution wavelet spectral coherence (Wave-GD vs GDSS)GDSS · Community-smallaverage MMD: 0.046 -> 0.022Helped
add multi-resolution wavelet spectral coherence (Wave-GD vs GDSS)GDSS · Gridaverage MMD: 0.062 -> 0.056No clear effect
add multi-resolution wavelet spectral coherence (Wave-GD vs GDSS)GDSS · QM9average of validity, novelty, uniqueness: 93.48 -> 95.20Helped
add multi-resolution wavelet spectral coherence (Wave-GD vs GDSS)GDSS · QM9FCD: 2.90 -> 3.85Hurt
add multi-resolution wavelet spectral coherence (Wave-GD vs GDSS)GDSS · QM9generation time (s): 1.14e2 -> 1.21e2No clear effect
evaluate with 1024 generated samples instead of test-set size (Wave-GD vs GDSS)GDSS · Ego-smallaverage MMD: 0.016 -> 0.011Helped
evaluate with 1024 generated samples (Wave-GD vs GraphRNN)GraphRNN · Community-smallaverage MMD: 0.017 -> 0.031Hurt
increase GMH depth D (oversmoothing study), Wave-GD vs GDSS (ablation)GDSS · Community-smallaverage MMDHelped
vary number of scales J from 3 to 7 (ablation)Wave-GD · Community-smallaverage MMD: 0.028, 0.031, 0.024, 0.022, 0.027No clear effect
vary number of scales J from 4 to 7 (ablation)Wave-GD · QM9average of validity, uniqueness, novelty: 89.87 -> 94.85Mixed
vary number of scales J from 8 to 12 (ablation)Wave-GD · Ego-smallaverage MMD: 0.015, 0.011, 0.009, 0.009, 0.016Mixed

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