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Symmetric Pruning in Quantum Neural Networks

ICLR 2023 · Learning theory and algorithms › Kernels and regression theory · approach: Neural tangent kernel analysis · 8 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add SP1 (prune qubit wires on identity part) (ablation)HEA with symmetric pruning · TFIMparameters at critical point: 800 -> 300Helped
add SP1 (prune qubit wires on identity part) (ablation)HEA with symmetric pruning · MaxCutparameters at critical point: 1000 -> 300Helped
add SP2 (prune structure) after SP1 (ablation)HEA with symmetric pruning · TFIMparameters at critical point: 300 -> 120Helped
add SP2 (prune structure) after SP1 (ablation)HEA with symmetric pruning · MaxCutparameters at critical point: 300 -> 150Helped
add SP3 (correlate symmetric parameters) after SP2 (ablation)HEA with symmetric pruning · TFIMparameters at critical point: 120 -> 50Helped
add SP3 (correlate symmetric parameters) after SP2 (ablation)HEA with symmetric pruning · MaxCutparameters at critical point: 150 -> 100Helped
full symmetric pruning SP0 -> SP3 (ablation)HEA with symmetric pruning · TFIMEQNTK value Q_S: 20Helped
full symmetric pruning SP0 -> SP3 (ablation)HEA with symmetric pruning · MaxCutEQNTK value Q_S: 14Helped
symmetric pruning SP1-SP3 vs unpruned, LK>=300 (ablation)HEA with symmetric pruning · TFIMiterations to epsilon-convergence: up to 6000 stepsHelped
symmetric pruning SP1-SP3 vs unpruned, LK>=300 (ablation)HEA with symmetric pruning · MaxCutiterations to epsilon-convergence: up to 5000 stepsHelped
increase EQNTK from SP1 to SP3 at LK~450 (ablation)HEA with symmetric pruning · MaxCutiterations T(epsilon): Q 1:2:4, T 4:2:1Helped
increase number of parameters within the same ansatz designHEA with symmetric pruning · TFIM and MaxCutconvergence speedHelped

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