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Research map / Graph learning / Graph algorithms and clustering

Network Regression with Graph Laplacians

NeurIPS 2023 · Graph learning › Graph algorithms and clustering · approach: Graph embedding and spectral sparsification · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use global network regression when the network entries vary linearly with the predictor (ablation)Network regression · Simulation scenario IMISE: GF 0.467; GS 4.025; LF 7.116; LS 1.348Helped
Use local network regression when the predictor-network relationship is nonlinear (ablation)Network regression · Simulation scenario IIIMISE: GF 81.295; GS 87.481; LF 1.557; LS 2.227Helped
Use the square root metric instead of the Frobenius metric (ablation)Local network regression · Simulation scenario IMISE: LF 7.116; LS 1.348Helped
Use the square root metric instead of the Frobenius metric (ablation)Global network regression · NYC yellow taxi networksMSPE: 96.4% of that for d_FHelped
Use global network regression with the square root metric instead of tensor-response regressionNYC yellow taxi networks · NYC yellow taxi networksMSPE: 0.51Helped
Increase the sample sizeNetwork regression · Simulation scenarios I–IVMISE: n=50, 100, 200, 500, 1000Helped

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