Papers › LambdaNetworks: Modeling Long-Range Interactions Without Attention

LambdaNetworks: Modeling Long-Range Interactions Without Attention

17 Feb 2021ICLR 2021 1arXiv:2102.08602archive 2025-07-28

Irwan Bello

We present lambda layers -- an alternative framework to self-attention -- for capturing long-range interactions between an input and structured contextual information (e.g. a pixel surrounded by other pixels). Lambda layers capture such interactions by transforming available contexts into linear functions, termed lambdas, and applying these linear functions to each input separately. Similar to linear attention, lambda layers bypass expensive attention maps, but in contrast, they model both content and position-based interactions which enables their application to large structured inputs such as images. The resulting neural network architectures, LambdaNetworks, significantly outperform their convolutional and attentional counterparts on ImageNet classification, COCO object detection and COCO instance segmentation, while being more computationally efficient. Additionally, we design LambdaResNets, a family of hybrid architectures across different scales, that considerably improves the speed-accuracy tradeoff of image classification models. LambdaResNets reach excellent accuracies on ImageNet while being 3.2 - 4.4x faster than the popular EfficientNets on modern machine learning accelerators. When training with an additional 130M pseudo-labeled images, LambdaResNets achieve up to a 9.5x speed-up over the corresponding EfficientNet checkpoints.

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jaehyunnn/LambdaNetworks_pytorch mentioned on GitHubpytorch report
joigalcar3/LambdaNetworks mentioned on GitHubpytorch report
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Tasks

Image ClassificationInstance SegmentationObject DetectionSemantic Segmentationimage-classificationobject-detection

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Image Classification ImageNet LambdaResNet200 Number of params 42M #327 of 1060 Archive leaderboard report
Image Classification ImageNet LambdaResNet200 Top 1 Accuracy 84.3% #327 of 1060 Archive leaderboard report
Image Classification ImageNet LambdaResNet152 Number of params 35M #366 of 1060 Archive leaderboard report
Image Classification ImageNet LambdaResNet152 Top 1 Accuracy 84.0% #366 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: Lambda Layer

1x1 ConvolutionBatch NormalizationBottleneck Residual BlockConvolutionDense ConnectionsGlobal Average PoolingKaiming InitializationLambda LayerMax PoolingReLUResidual BlockResidual ConnectionSigmoid Activation

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