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Deep Architecture Connectivity Matters for Its Convergence: A Fine-Grained Analysis

NeurIPS 2022 · Optimization › Implicit bias and generalization · approach: Edge-of-stability dynamics · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Pre-filter architectures using effective depth and widthNAS-WOT · ImageNettop-1 test error (%): 26.2 -> 25.9 (0.4)Helped
Pre-filter architectures using effective depth and widthNAS-WOT · ImageNetsearch cost (GPU days): 0.0036 -> 0.003Helped
Pre-filter architectures using effective depth and widthTE-NAS · ImageNettop-1 test error (%): 24.5 -> 24.2 (0.3)Helped
Pre-filter architectures using effective depth and widthTE-NAS · ImageNetsearch cost (GPU days): 0.17 -> 0.1Helped
Pre-filter architectures using effective depth and widthWOT · NAS-Bench-201, CIFAR-10/CIFAR-100/ImageNet-16-120test accuracy (%): 92.81 (0.99) -> 92.98 (0.78); 69.48 (1.70) -> 69.86 (1.24); 43.10 (3.16) -> 43.44 (2.64)Helped
Pre-filter architectures using effective depth and widthTE-NAS · NAS-Bench-201, CIFAR-10/CIFAR-100/ImageNet-16-120test accuracy (%): 93.9 (0.47) -> 93.6 (0.37); 71.24 (0.56) -> 71.26 (0.77); 42.38 (0.46) -> 44.38 (0.76)Mixed
Pre-filter architectures using effective depth and widthFP-NAS · NAS-Bench-201search cost (GPU sec.): 4837 -> 2612 (-46.0%)Helped
Restrict architectures to one half of the effective depth and width radii (ablation)WOT + DAG · NAS-Bench-201 CIFAR-100test accuracy (%): 69.48 (1.70) -> 69.86 (1.24)Helped
Restrict architectures to one quarter of the effective depth and width radii (ablation)WOT + DAG · NAS-Bench-201 CIFAR-100test accuracy (%): 69.48 (1.70) -> 69.97 (1.19)Helped
Use one half rather than three quarters of the effective depth and width radii (ablation)WOT + DAG · NAS-Bench-201 CIFAR-100test accuracy (%): 69.51 (1.70) -> 69.86 (1.24)No clear effect
Use the mixed sequential/parallel connectivity pattern (DAG#3) rather than parallel or sequential connectionsThree-layer DAG network · MNIST and CIFAR-10training accuracy convergence speedHelped

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