Papers › On the Importance of Gradients for Detecting Distributional Shifts in the Wild

On the Importance of Gradients for Detecting Distributional Shifts in the Wild

1 Oct 2021NeurIPS 2021 12arXiv:2110.00218archive 2025-07-28

Rui Huang, Andrew Geng, Yixuan Li

Detecting out-of-distribution (OOD) data has become a critical component in ensuring the safe deployment of machine learning models in the real world. Existing OOD detection approaches primarily rely on the output or feature space for deriving OOD scores, while largely overlooking information from the gradient space. In this paper, we present GradNorm, a simple and effective approach for detecting OOD inputs by utilizing information extracted from the gradient space. GradNorm directly employs the vector norm of gradients, backpropagated from the KL divergence between the softmax output and a uniform probability distribution. Our key idea is that the magnitude of gradients is higher for in-distribution (ID) data than that for OOD data, making it informative for OOD detection. GradNorm demonstrates superior performance, reducing the average FPR95 by up to 16.33% compared to the previous best method.

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="2110.00218")

Code

Syntology Ran 4 of 4 code samples harvested from 2 repositories linked to this paper; 0 have no recorded run. Of those that ran: 2 ran · violated contract; 2 ran · our draft was wrong.

By repository: official repository: 1 sample from 1 repository, 1 ran; community: 3 samples from 1 repository, 3 ran. The run record, sample by sample. “Ran” means executed on a synthesized input, not that the code is correct or reproduces the paper.

deeplearning-wisc/gradnorm_ood officialmentioned in papermentioned on GitHubpytorch 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

4 samples harvested; 4 ran; 0 honoured the contract we drafted; 0 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.

2ran · violated contract
2ran · our draft was wrong

Licence: 0 of the 4 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 2 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.

setup_logger deeplearning-wisc/gradnorm_ood/utils/log.py official repository ran · our draft was wrong Apache-2.0 (permissive) · ebe2ed60c7172764 · report
default lucidrains/gradnorm-pytorch/gradnorm_pytorch/gradnorm_pytorch.py community ran · violated contract fingerprinted MIT (permissive) · 99b3563ebc6734ad · report
exists lucidrains/gradnorm-pytorch/gradnorm_pytorch/gradnorm_pytorch.py community ran · violated contract fingerprinted MIT (permissive) · b7c3487f192e31b7 · report
l1norm lucidrains/gradnorm-pytorch/gradnorm_pytorch/gradnorm_pytorch.py community ran · our draft was wrong fingerprinted MIT (permissive) · 4f7e2211ea4ab0b6 · report

Tasks

Out-of-Distribution Detection

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Out-of-Distribution Detection ImageNet-1k vs Places GradNorm (ResNetv2-101) FPR95 60.86 #18 of 25 Archive leaderboard report
Out-of-Distribution Detection ImageNet-1k vs SUN GradNorm (ResNetv2-101) FPR95 46.48 #13 of 22 Archive leaderboard report
Out-of-Distribution Detection ImageNet-1k vs Textures GradNorm (ResNetv2-101) FPR95 61.42 #32 of 34 Archive leaderboard report
Out-of-Distribution Detection ImageNet-1k vs iNaturalist GradNorm FPR95 50.03 #27 of 28 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

Softmax

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