Papers › Involution: Inverting the Inherence of Convolution for Visual Recognition

Involution: Inverting the Inherence of Convolution for Visual Recognition

10 Mar 2021CVPR 2021 1arXiv:2103.06255archive 2025-07-28

Duo Li, Jie Hu, Changhu Wang, Xiangtai Li, Qi She, Lei Zhu, Tong Zhang, Qifeng Chen

Convolution has been the core ingredient of modern neural networks, triggering the surge of deep learning in vision. In this work, we rethink the inherent principles of standard convolution for vision tasks, specifically spatial-agnostic and channel-specific. Instead, we present a novel atomic operation for deep neural networks by inverting the aforementioned design principles of convolution, coined as involution. We additionally demystify the recent popular self-attention operator and subsume it into our involution family as an over-complicated instantiation. The proposed involution operator could be leveraged as fundamental bricks to build the new generation of neural networks for visual recognition, powering different deep learning models on several prevalent benchmarks, including ImageNet classification, COCO detection and segmentation, together with Cityscapes segmentation. Our involution-based models improve the performance of convolutional baselines using ResNet-50 by up to 1.6% top-1 accuracy, 2.5% and 2.4% bounding box AP, and 4.7% mean IoU absolutely while compressing the computational cost to 66%, 65%, 72%, and 57% on the above benchmarks, respectively. Code and pre-trained models for all the tasks are available at https://github.com/d-li14/involution.

PaperPDFConference PDFCodeCode 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="2103.06255")

Code

Syntology Ran 7 of 9 code samples harvested from 7 repositories linked to this paper; 2 have no recorded run. Of those that ran: 7 ran with no contract checked.

By repository: community (archive-listed): 9 samples from 7 repositories, 7 ran. The run record, sample by sample. “Ran” means executed on a synthesized input, not that the code is correct or reproduces the paper.

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

d-li14/involution officialmentioned in papermentioned on GitHubpytorch report
ChristophReich1996/Involution mentioned on GitHubpytorch report
ariG23498/involution-tf mentioned on GitHubtf report
justanhduc/involution mentioned on GitHubpytorch report
shikishima-TasakiLab/Involution-PyTorch mentioned on GitHubpytorch report
shuuchen/involution.pytorch mentioned on GitHubpytorch report
PaddlePaddle/PaddleClas paddleApache-2.0 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

9 samples harvested; 7 ran; 0 honoured the contract we drafted; 2 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.

7ran
2unverified

Licence: 4 of the 9 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 7 repositories linked to this paper, official or community; each sample names its own and says which. “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.

Involution shuuchen/involution.pytorch/involution.py community (archive-listed) ran · metamorphic tier: deterministic fingerprinted MIT (permissive) · 2ab588f06b5fcaf4 · report
Involution xmu-xiaoma666/External-Attention-pytorch/model/conv/Involution.py community (archive-listed) ran fingerprinted MIT (permissive) · 7d4e496bf8ce2354 · report
Involution2D YirunKCL/Tensorflow-Keras-Involution2D/involution2d.py community (archive-listed) ran no licence file found · pointer only · fab2bfdc9b7802ab · report
Involution2D PrivateMaRyan/keras-involution2Ds/Involution2D.py community (archive-listed) ran no licence file found · pointer only · b4e4c359cd255f73 · report
Involution2d ChristophReich1996/Involution/involution/involution.py community (archive-listed) ran · metamorphic tier: deterministic fingerprinted MIT (permissive) · 56639e9724c537c5 · report
Involution2d shikishima-TasakiLab/Involution-PyTorch/involution/involution2d.py community (archive-listed) ran licence not identified · pointer only · 0fddcb87a4ff3ec5 · report
InvolutionLayer YashovardhanSrivastava19/Inv_Conv_Model/InConvModel.py community (archive-listed) ran MIT (permissive) · c541633190c973cd · report
Configuration YashovardhanSrivastava19/Inv_Conv_Model/InConvModel.py community (archive-listed) unverified MIT (permissive) · 53278de7fe970d81 · report
_involution2d shikishima-TasakiLab/Involution-PyTorch/involution/involution2d.py community (archive-listed) unverified licence not identified · pointer only · 15063abf3990f72c · report

Tasks

Image Classification

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Image Classification ImageNet RedNet-152 GFLOPs 6.8 #766 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-152 Number of params 34M #766 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-152 Top 1 Accuracy 79.3% #766 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-101 GFLOPs 4.7 #784 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-101 Number of params 25.6M #784 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-101 Top 1 Accuracy 79.1% #784 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-50 GFLOPs 2.7 #838 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-50 Number of params 15.5M #838 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-50 Top 1 Accuracy 78.4% #838 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-38 GFLOPs 2.2 #869 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-38 Number of params 12.4M #869 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-38 Top 1 Accuracy 77.6% #869 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-26 GFLOPs 1.7 #933 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-26 Number of params 9.2M #933 of 1060 Archive leaderboard report
Image Classification ImageNet RedNet-26 Top 1 Accuracy 75.9% #933 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: Involution

ConvolutionInvolution

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