Papers › FractalNet: Ultra-Deep Neural Networks without Residuals

FractalNet: Ultra-Deep Neural Networks without Residuals

24 May 2016arXiv:1605.07648archive 2025-07-28

Gustav Larsson, Michael Maire, Gregory Shakhnarovich

We introduce a design strategy for neural network macro-architecture based on self-similarity. Repeated application of a simple expansion rule generates deep networks whose structural layouts are precisely truncated fractals. These networks contain interacting subpaths of different lengths, but do not include any pass-through or residual connections; every internal signal is transformed by a filter and nonlinearity before being seen by subsequent layers. In experiments, fractal networks match the excellent performance of standard residual networks on both CIFAR and ImageNet classification tasks, thereby demonstrating that residual representations may not be fundamental to the success of extremely deep convolutional neural networks. Rather, the key may be the ability to transition, during training, from effectively shallow to deep. We note similarities with student-teacher behavior and develop drop-path, a natural extension of dropout, to regularize co-adaptation of subpaths in fractal architectures. Such regularization allows extraction of high-performance fixed-depth subnetworks. Additionally, fractal networks exhibit an anytime property: shallow subnetworks provide a quick answer, while deeper subnetworks, with higher latency, provide a more accurate answer.

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Code

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gustavla/fractalnet mentioned on GitHub report
jiye-ML/Classify_FRACTALNET mentioned on GitHubtf report
osmr/imgclsmob mentioned on GitHubmxnetMIT report
snf/keras-fractalnet mentioned on GitHubtf report

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4ran · our draft was wrong
2unverified

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conv gustavla/fractalnet/generation/fractalnet.py community (archive-listed) ran · our draft was wrong fingerprinted BSD-3-Clause (permissive) · cbc9a548b26d62c9 · report
paint gustavla/fractalnet/generation/fractalnet.py community (archive-listed) ran · our draft was wrong fingerprinted BSD-3-Clause (permissive) · 407676128651cf4f · report
pool gustavla/fractalnet/generation/fractalnet.py community (archive-listed) ran · our draft was wrong fingerprinted BSD-3-Clause (permissive) · b3442826ef00d81b · report
tensor_shape jiye-ML/Classify_FRACTALNET/src/fractal_block.py community (archive-listed) ran · our draft was wrong fingerprinted no licence file found · pointer only · ff58e87bb50373d8 · report
tensorflow_categorical snf/keras-fractalnet/src/fractalnet.py community (archive-listed) unverified MIT (permissive) · 4de38f4b392c1c66 · report
theano_multinomial snf/keras-fractalnet/src/fractalnet.py community (archive-listed) unverified MIT (permissive) · c1545d890d27b807 · report

Tasks

Image Classification

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Image Classification ImageNet FractalNet-34 Top 1 Accuracy 75.88% #934 of 1060 Archive leaderboard report
Image Classification SVHN FractalNet Percentage error 2.01 #28 of 62 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: DropPath, Fractal Block, FractalNet

Batch NormalizationConvolutionDense ConnectionsDropPathDropoutFractal BlockFractalNetMax PoolingRandom Horizontal FlipRandom Resized CropReLUSGD with MomentumSoftmaxStep DecayXavier Initialization

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