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Understanding and Improving Convolutional Neural Networks via Concatenated Rectified Linear Units

ICML 2016 · Architectures and efficiency › CNN design · approach: Filter design and trained-filter analysis · 163 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace ReLU with CReLU in lower conv layers (same filter count)ConvPool-CNN-C · CIFAR-10/100test error (Vote / Single): CIFAR-10 Vote 7.55 -> 7.09; CIFAR-100 Single 36.30 -> 31.48Helped
CReLU with halved filters vs ReLU baseline with same neuron count (ablation)ConvPool-CNN-C · CIFAR-10test error (Vote): 7.55 -> 7.09 with half the parameters (0.7M vs 1.4M)Helped
replace ReLU with absolute value rectification (AVR) (ablation)ConvPool-CNN-C · CIFAR-10/100test error (Average): CIFAR-10 single 8.32 (better than baseline 9.17) but Average 10.26 vs 10.20; CIFAR-100 Average 37.24 vs 38.52 betterMixed
double number of filters in ReLU baseline (ablation)ConvPool-CNN-C · CIFAR-100test error (Average): 38.52 -> 36.73Helped
apply CReLU after conv1, conv3, conv5 of VGG while halving filtersVGG · CIFAR-10/100test error (Vote): CIFAR-10 5.43 -> 5.09 (conv1,3); CIFAR-100 26.85 -> 23.66 (conv1,3,5)Helped
apply CReLU to conv1-4 of All-CNN-B (same filters)All-CNN-B · ImageNettop-1 error (center crop): 41.81 -> 39.82Helped
apply CReLU to conv1,4,7 with halved convsAll-CNN-B · ImageNettop-1 error (10-patch): 38.03 -> 35.70Helped
apply CReLU to all conv layers of All-CNN-B with halved convs (ablation)All-CNN-B · ImageNettop-1 error (center crop): 41.81 -> 40.93 with 4.7M paramsHelped
apply AVR instead of ReLU to conv1-4, conv1-7, or conv1-9 of All-CNN-B (ablation)All-CNN-B · ImageNettop-1 error (center crop): conv1-4 41.12 (vs 41.81) but conv1-7 42.36 and conv1-9 43.33 (worse)Mixed
extend CReLU from conv1-4 to conv1-9 of All-CNN-B (same filters) (ablation)All-CNN-B · ImageNettop-1 error (center crop): conv1-4 39.82 -> conv1-9 40.15 (with more conv layers, performance drops)Hurt

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