Papers › Cyclical Learning Rates for Training Neural Networks

Cyclical Learning Rates for Training Neural Networks

3 Jun 2015arXiv:1506.01186archive 2025-07-28

Leslie N. Smith

It is known that the learning rate is the most important hyper-parameter to tune for training deep neural networks. This paper describes a new method for setting the learning rate, named cyclical learning rates, which practically eliminates the need to experimentally find the best values and schedule for the global learning rates. Instead of monotonically decreasing the learning rate, this method lets the learning rate cyclically vary between reasonable boundary values. Training with cyclical learning rates instead of fixed values achieves improved classification accuracy without a need to tune and often in fewer iterations. This paper also describes a simple way to estimate "reasonable bounds" -- linearly increasing the learning rate of the network for a few epochs. In addition, cyclical learning rates are demonstrated on the CIFAR-10 and CIFAR-100 datasets with ResNets, Stochastic Depth networks, and DenseNets, and the ImageNet dataset with the AlexNet and GoogLeNet architectures. These are practical tools for everyone who trains neural networks.

PaperPDFCodeCode Syntology ran

In Syntology Open this paper in Syntology's Atlas, the map of the papers in Syntology's graph and their citations.

For agents, Syntology's MCP tool lists every function and class Syntology harvested from this paper and whether it ran (how to connect): get_harvested_code_for_paper(arxiv_id="1506.01186")

Code

Syntology Ran 3 of 17 code samples harvested from 3 repositories linked to this paper; 14 have no recorded run. Of those that ran: 3 ran · our draft was wrong.

By repository: community (archive-listed): 15 samples from 3 repositories, 1 ran; 2 identical to code first harvested elsewhere. The run record, sample by sample. “Ran” means executed on a synthesized input, not that the code is correct or reproduces the paper.

53 repositories listed; official and paper-mentioned ones first.

bckenstler/CLR officialmentioned in papermentioned on GitHubtfMIT report
AlexMGitHub/Checkers-MCTS mentioned on GitHubtfMIT report
GPUPhobia/vocal-mask mentioned on GitHubpytorch report
GorillaBus/urban-audio-classifier mentioned on GitHubtfLGPL-3.0 report
JitindraFartiyal/Object-Detection mentioned on GitHubpytorch report
Manas2909/Learning-Keras mentioned on GitHubtf report
MichaelNasello/nnFromScratch mentioned on GitHubtf report
SevenZhan/Pytorch mentioned on GitHubpytorch report
WittmannF/LRFinder mentioned on GitHub report
atnlp/reproduced-ml-papers mentioned on GitHubApache-2.0 report
chandansharma02/Deep_Learning mentioned on GitHubpytorch report
coxy1989/clr mentioned on GitHubpytorch report
datalass1/fastai mentioned on GitHubtf report
davidtvs/pytorch-lr-finder mentioned on GitHubpytorch report
delzac/cntk-clr mentioned on GitHub report
erasromani/behavior-cloning mentioned on GitHubpytorch report
gregtozzi/deep_learning_celnav mentioned on GitHubtf report
gurucharanmk/PyTorch_CircularLearningRate mentioned on GitHubpytorchMIT report
gurucharanmk/PyTorch_LearningRateFinder mentioned on GitHubpytorchMIT report
haritha91/1cycle-Policy-Experiment mentioned on GitHubpytorch report
jae1213/CyclicalLR_SGDR mentioned on GitHubpytorch report
josequinonez/SkinCancerClassification mentioned on GitHubpytorchMIT report
leona-ha/Skin-Screening_Web-App mentioned on GitHubtf report
lnsmith54/exploring-loss mentioned on GitHubcaffe2GPL-3.0 report
lnsmith54/super-convergence mentioned on GitHubcaffe2 report
locuslab/fast_adversarial mentioned on GitHubpytorch report
lrsoenksen/LRFinder mentioned on GitHubtf report
m-romanenko/cycliclr mentioned on GitHubtf report
maikherbig/AIDeveloper mentioned on GitHubtfBSD-2-Clause report
mhmoodlan/cyclic-learning-rate mentioned on GitHubtfMIT report
mpyrozhok/adamwr mentioned on GitHubpytorch report
nachiket273/One_Cycle_Policy mentioned on GitHubpytorch report
nupam/keras-callbacks mentioned on GitHubtfMIT report
simon0987/Fast_FGSM mentioned on GitHubpytorch report
suhas1999/Flip-kart-grid-challenge mentioned on GitHubpytorchMIT report
surmenok/keras_lr_finder mentioned on GitHubMIT report
valerkabvv/test_tasks mentioned on GitHubpytorch report
yell/kaggle-camera mentioned on GitHubpytorchMIT report
ywu94/Code-Notes mentioned on GitHubpytorchMIT report

Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.

Code Syntology ran Syntology

17 samples harvested; 3 ran; 0 honoured the contract we drafted; 14 have no recorded run. Read from Syntology's graph 2026-09-24; that is when this build read the record, not when the samples ran.

3ran · our draft was wrong
14unverified

Licence: 2 of the 17 samples are pointer only, meaning Syntology does not serve that copy's text. This page shows no code text for any sample; each one links to its file in the repository.

Harvested from 3 repositories linked to this paper, official or community; each sample names its own and says which. Some samples are identical code Syntology first harvested from another repository; for those, this paper's copy is not located and its licence is not recorded. “Ran” means the sample executed on a synthesized input. It does not mean the output is correct, and nothing here reproduces the paper's results. “Honoured” and “violated” refer to a contract Syntology drafted from the code itself; “our draft was wrong” and “fixture could not drive it” are failures of Syntology's instrument, not of the code.

Each sample ends with its code_sha256, Syntology's identity for that exact code. An agent fetches the stored sample with Syntology's MCP tool get_code(code_sha256="…") (how to connect); click an identity to copy that call.

Repository labels, per sample. official repository: The archive marks this repository official for the paper. named in the paper: The archive records that the paper mentions this repository; it is not marked official. community (archive-listed): In the archive's code links for this paper, not marked official and not recorded as mentioned in the paper. found in paper text by Syntology: Syntology found this repository in the paper's own text; whether it is the authors' implementation is not asserted. community: Not in the archive's code links for this paper; a community repository Syntology harvested. Samples from a repository marked official are listed first. Licence labels name the repository's licence as recorded at harvest. “Pointer only” means Syntology does not serve that copy's text, for one of four reasons: no licence file was found; the licence was not identified; the licence is recorded as permissive but that copy's record is not marked cleared; or the licence is outside the permissive list Syntology serves text under (MIT, Apache-2.0, BSD and similar). Some licences outside that list permit redistribution, such as WTFPL, and GPL-3.0 under its conditions; they are simply not on the list. Hover a licence label for the reason. File links open the file on GitHub at the default branch, which may have changed since the harvest.

resnet20 davidtvs/pytorch-lr-finder/examples/cifar10_resnet.py community (archive-listed) ran · our draft was wrong MIT (permissive) · e5d7185b6cba3126 · report
Example_functional_api maikherbig/AIDeveloper/AIDeveloper/model_zoo.py community (archive-listed) unverified BSD-2-Clause (permissive) · 60d8872644d31774 · report
Example_sequential_api maikherbig/AIDeveloper/AIDeveloper/model_zoo.py community (archive-listed) unverified BSD-2-Clause (permissive) · cb1b3c9d80104afe · report
cyclic_learning_rate mhmoodlan/cyclic-learning-rate/clr.py community (archive-listed) unverified MIT (permissive) · a20814d7bfa74719 · report
get_default_dict maikherbig/AIDeveloper/AIDeveloper/aid_start.py community (archive-listed) unverified BSD-2-Clause (permissive) · 0adbffc117bfd132 · report
get_metrics_strings maikherbig/AIDeveloper/AIDeveloper/aid_dl.py community (archive-listed) unverified BSD-2-Clause (permissive) · f946f37e1b43a15d · report
get_metrics_tensors maikherbig/AIDeveloper/AIDeveloper/aid_dl.py community (archive-listed) unverified BSD-2-Clause (permissive) · d00620593ea5d2df · report
hashfile maikherbig/AIDeveloper/AIDeveloper/aid_bin.py community (archive-listed) unverified BSD-2-Clause (permissive) · 45a9c41a6b24a718 · report
image_adjust_channels maikherbig/AIDeveloper/AIDeveloper/aid_img.py community (archive-listed) unverified BSD-2-Clause (permissive) · cf5cbe4cbc370df8 · report
model_change_trainability maikherbig/AIDeveloper/AIDeveloper/aid_dl.py community (archive-listed) unverified BSD-2-Clause (permissive) · cd3acc6cca5ab016 · report
obj2bytes maikherbig/AIDeveloper/AIDeveloper/aid_bin.py community (archive-listed) unverified BSD-2-Clause (permissive) · bf5d386d1b0b6ab0 · report
pad_arguments_np2cv maikherbig/AIDeveloper/AIDeveloper/aid_img.py community (archive-listed) unverified BSD-2-Clause (permissive) · 7ee2ab117ac91fd6 · report
partial_trainability maikherbig/AIDeveloper/AIDeveloper/partial_trainability.py community (archive-listed) unverified BSD-2-Clause (permissive) · 9f17041c328ef059 · report
splitall maikherbig/AIDeveloper/AIDeveloper/aid_bin.py community (archive-listed) unverified BSD-2-Clause (permissive) · 8b4838063b92e952 · report
zoom_arguments_scipy2cv maikherbig/AIDeveloper/AIDeveloper/aid_img.py community (archive-listed) unverified BSD-2-Clause (permissive) · 6cf1a30f40bacfe8 · report
conv1x1 identical code first harvested elsewhere ran · our draft was wrong licence of this copy not recorded · d9def42110729a85 · report
conv3x3 identical code first harvested elsewhere ran · our draft was wrong licence of this copy not recorded · fac5364e2f53c6db · report

Results from the paper archive 2025-07-28

No leaderboard rows for this paper in the archive.

Methods

1x1 ConvolutionAuxiliary ClassifierAverage PoolingConvolutionDense ConnectionsDropoutGoogLeNetGrouped ConvolutionInception ModuleLocal Response NormalizationMax PoolingReLUSoftmax

Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections