Papers › Mitigating Oversmoothing Through Reverse Process of GNNs for Heterophilic Graphs

Mitigating Oversmoothing Through Reverse Process of GNNs for Heterophilic Graphs

11 Mar 2024arXiv:2403.10543archive 2025-07-28

Moonjeong Park, Jaeseung Heo, Dongwoo Kim

Graph Neural Network (GNN) resembles the diffusion process, leading to the over-smoothing of learned representations when stacking many layers. Hence, the reverse process of message passing can produce the distinguishable node representations by inverting the forward message propagation. The distinguishable representations can help us to better classify neighboring nodes with different labels, such as in heterophilic graphs. In this work, we apply the design principle of the reverse process to the three variants of the GNNs. Through the experiments on heterophilic graph data, where adjacent nodes need to have different representations for successful classification, we show that the reverse process significantly improves the prediction performance in many cases. Additional analysis reveals that the reverse mechanism can mitigate the over-smoothing over hundreds of layers. Our code is available at https://github.com/ml-postech/reverse-gnn.

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="2403.10543")

Code

Syntology Ran 4 of 8 code samples harvested from 1 repository linked to this paper; 4 have no recorded run. Of those that ran: 1 ran · honoured contract; 1 ran · our draft was wrong; 2 ran with no contract checked.

By repository: official repository: 8 samples from 1 repository, 4 ran. The run record, sample by sample. “Ran” means executed on a synthesized input, not that the code is correct or reproduces the paper.

ml-postech/reverse-gnn 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

8 samples harvested; 4 ran; 1 honoured the contract we drafted; 4 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
1ran · our draft was wrong
2ran
4unverified

Licence: 8 of the 8 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 ml-postech/reverse-gnn. “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.

SpectralNorm ml-postech/reverse-gnn/src/model_resgnn_rep.py official repository ran no licence file found · pointer only · 3ad606c7b21a06b0 · report
SpectralNormStateDictHook ml-postech/reverse-gnn/src/model_resgnn_rep.py official repository ran no licence file found · pointer only · 516e5546283f358b · report
cal_GSL ml-postech/reverse-gnn/src/model_resgnn_rep.py official repository ran · honoured contract fingerprinted no licence file found · pointer only · 5b76e67cc6742f27 · report
spectral_norm_gnn ml-postech/reverse-gnn/src/model_resgnn_rep.py official repository ran · our draft was wrong no licence file found · pointer only · 5e520783d55fb4ef · report
SpectralNormLoadStateDictPreHook ml-postech/reverse-gnn/src/model_resgnn_rep.py official repository unverified no licence file found · pointer only · 1e050801dc7eacb6 · report
iresgnn ml-postech/reverse-gnn/src/model_resgnn_rep.py official repository unverified no licence file found · pointer only · ff5b2b7a05fef288 · report
iresgnn_block ml-postech/reverse-gnn/src/model_resgnn_rep.py official repository unverified no licence file found · pointer only · 88bc462f95388156 · report
minesweeper_plot ml-postech/reverse-gnn/src/model_resgnn_rep.py official repository unverified no licence file found · pointer only · d230601565473312 · report

Tasks

Graph Neural Network

Results from the paper archive 2025-07-28

No leaderboard rows for this paper in the archive.

Methods

Diffusion

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