Papers › Differentiable Top-k Classification Learning

Differentiable Top-k Classification Learning

15 Jun 2022arXiv:2206.07290archive 2025-07-28

Felix Petersen, Hilde Kuehne, Christian Borgelt, Oliver Deussen

The top-k classification accuracy is one of the core metrics in machine learning. Here, k is conventionally a positive integer, such as 1 or 5, leading to top-1 or top-5 training objectives. In this work, we relax this assumption and optimize the model for multiple k simultaneously instead of using a single k. Leveraging recent advances in differentiable sorting and ranking, we propose a differentiable top-k cross-entropy classification loss. This allows training the network while not only considering the top-1 prediction, but also, e.g., the top-2 and top-5 predictions. We evaluate the proposed loss function for fine-tuning on state-of-the-art architectures, as well as for training from scratch. We find that relaxing k does not only produce better top-5 accuracies, but also leads to top-1 accuracy improvements. When fine-tuning publicly available ImageNet models, we achieve a new state-of-the-art for these models.

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="2206.07290")

Code

Syntology Ran 3 of 12 code samples harvested from 1 repository linked to this paper; 9 have no recorded run. Of those that ran: 1 ran · honoured contract; 2 ran · our draft was wrong.

By repository: official repository: 12 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.

felix-petersen/difftopk officialmentioned in papermentioned 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

12 samples harvested; 3 ran; 1 honoured the contract we drafted; 9 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.

1ran · honoured contract
2ran · our draft was wrong
9unverified

Licence: 0 of the 12 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 felix-petersen/difftopk. “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.

conv1x1 felix-petersen/difftopk/experiments/utils/resnet_cifar10.py official repository ran · our draft was wrong MIT (permissive) · d9def42110729a85 · report
conv3x3 felix-petersen/difftopk/experiments/utils/resnet_cifar10.py official repository ran · our draft was wrong MIT (permissive) · 160bb14bd76201b4 · report
s_best felix-petersen/difftopk/difftopk/functional.py official repository ran · honoured contract fingerprinted MIT (permissive) · 5e1f120cec901868 · report
delta felix-petersen/difftopk/difftopk/smooth_topk.py official repository unverified MIT (permissive) · 2e2b18b4902bdec8 · report
execute_sparse_topk felix-petersen/difftopk/difftopk/functional.py official repository unverified MIT (permissive) · 11e43cd1e6c797b8 · report
execute_topk felix-petersen/difftopk/difftopk/functional.py official repository unverified MIT (permissive) · 1e01148f1f64e131 · report
get_sparse_net felix-petersen/difftopk/difftopk/networks.py official repository unverified MIT (permissive) · 512081e219515760 · report
log felix-petersen/difftopk/difftopk/smooth_topk.py official repository unverified MIT (permissive) · 8a24f02d6735ca80 · report
log1mexp felix-petersen/difftopk/difftopk/smooth_topk.py official repository unverified MIT (permissive) · b02fd556128a43d3 · report
resnet18 felix-petersen/difftopk/experiments/utils/resnet_cifar10.py official repository unverified MIT (permissive) · 2615428ce71ead9f · report
sparse_bitonic_network felix-petersen/difftopk/difftopk/networks.py official repository unverified MIT (permissive) · 88eb794650370b33 · report
sparse_splitter_selection_network felix-petersen/difftopk/difftopk/networks.py official repository unverified MIT (permissive) · f0090ee92df35030 · report

Tasks

General ClassificationImage Classification

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Image Classification ImageNet Top-k DiffSortNets (EfficientNet-L2) Top 1 Accuracy 88.37% #50 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.

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