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Filter Response Normalization Layer: Eliminating Batch Dependence in the Training of Deep Neural Networks

21 Nov 2019CVPR 2020 6arXiv:1911.09737archive 2025-07-28

Saurabh Singh, Shankar Krishnan

Batch Normalization (BN) uses mini-batch statistics to normalize the activations during training, introducing dependence between mini-batch elements. This dependency can hurt the performance if the mini-batch size is too small, or if the elements are correlated. Several alternatives, such as Batch Renormalization and Group Normalization (GN), have been proposed to address this issue. However, they either do not match the performance of BN for large batches, or still exhibit degradation in performance for smaller batches, or introduce artificial constraints on the model architecture. In this paper we propose the Filter Response Normalization (FRN) layer, a novel combination of a normalization and an activation function, that can be used as a replacement for other normalizations and activations. Our method operates on each activation channel of each batch element independently, eliminating the dependency on other batch elements. Our method outperforms BN and other alternatives in a variety of settings for all batch sizes. FRN layer performs ≈0.7-1.0% better than BN on top-1 validation accuracy with large mini-batch sizes for Imagenet classification using InceptionV3 and ResnetV2-50 architectures. Further, it performs >1% better than GN on the same problem in the small mini-batch size regime. For object detection problem on COCO dataset, FRN layer outperforms all other methods by at least 0.3-0.5% in all batch size regimes.

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EmptySamurai/pytorch-reconet mentioned on GitHubpytorchMIT report
gakkiri/Filter-Response-Normalization mentioned on GitHubpytorchMIT report
gupta-abhay/pytorch-frn mentioned on GitHubpytorchMIT report
kobiso/FilterResponseNorm-MXNet mentioned on GitHubmxnetMIT report
philipperemy/keras-frn mentioned on GitHubtf report

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convert_model tattaka/Filter-Response-Normalization-PyTorch/filter_response_normalization/filter_response_normalize.py community (archive-listed) ran · our draft was wrong MIT (permissive) · c9a5f3feedf35dc9 · report
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Tasks

Image ClassificationObject Detectionobject-detection

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Image Classification ImageNet InceptionV3 (FRN layer) Top 1 Accuracy 78.95% #796 of 1060 Archive leaderboard report
Image Classification ImageNet ResnetV2 50 (FRN layer) Top 1 Accuracy 77.21% #878 of 1060 Archive leaderboard report

Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.

Methods

Introduced by this paper: Filter Response Normalization

1x1 ConvolutionAuxiliary ClassifierAverage PoolingBatch NormalizationBottleneck Residual BlockConvolutionDense ConnectionsDropoutFPNFilter Response NormalizationFocal LossGlobal Average PoolingInception-v3Inception-v3 ModuleKaiming InitializationLabel SmoothingLinear Warmup With Cosine AnnealingMax PoolingRMSPropReLUResidual BlockResidual ConnectionRetinaNetSoftmax

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