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Adversarial Robustness in Graph Neural Networks: A Hamiltonian Approach

NeurIPS 2023 · Adversarial robustness and security › Attacks on text and graphs · approach: Graph neural network robustness

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a conservative Hamiltonian graph flow instead of conventional graph neural flowsHANG · Cora PGD-GIA, inductive evasionaccuracy (%): 42.81 -> 78.37Helped
Add Lyapunov-stable quadratic energy design to HANG (ablation)HANG · Pubmed PGD-GIA, inductive evasionaccuracy (%): 81.81 -> 87.69Helped
Add Lyapunov-stable quadratic energy design to HANG (ablation)HANG · Cora PGD-GIA, inductive evasionaccuracy (%): 78.37 -> 79.05; 72.31 -> 71.07Mixed
Add Lyapunov-stable quadratic energy design to HANG (ablation)HANG · Polblogs Metattack, perturbation rates 5% and 25%accuracy (%): 80.19 -> 94.38; 65.80 -> 86.89Helped
Add Lyapunov-stable quadratic energy design to HANG (ablation)HANG · Cora Nettackaccuracy (%): 60.12 -> 68.80Helped
Increase PGD-GIA attack budgetHANG-quad · Cora PGD-GIA, inductive evasionaccuracy (%): 78.41 -> 29.58Hurt
Increase PGD-GIA attack budgetHANG · Cora PGD-GIA, inductive evasionaccuracy (%): 75.78 -> 66.01Hurt
Use Hamiltonian conservative flow rather than GRANDHANG · Cora PGD-GIA, inductive evasionaccuracy (%): 39.65 -> 78.37Helped
Change the ODE solver among Euler, RK4, Symplectic Euler, and Dopri5 (ablation)HANG and HANG-quad · Citeseer, clean and PGD-GIAaccuracy (%)No clear effect
Use HANG-quad rather than HANG under white-box PGD-GIA (ablation)HANG · Citeseer PGD-GIA white-box, inductive evasionaccuracy (%): 67.54 -> 72.21Helped
Increase MetaGIA attack budgetHANG-quad · Cora MetaGIA, inductive evasionaccuracy (%): 78.10 -> 16.69Hurt

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