Research map / Graph learning / Graph algorithms and clustering
Graph comparison and random features
Compare graphs with optimal transport and efficient graph random features.
155 accepted papers at ICML, NeurIPS, ICLR, CVPR and AAAI (2016–2026) · an approach in Graph algorithms and clustering, keyword cluster “search · directed · causal”
State History Tried Checklist Preprints Who Export
Where it stands
Not enough benchmark data Fewer than four papers report the same benchmark, so there is no record to follow.
31 papers in 2023–24 and 41 in 2025–26 (at ICML, NeurIPS, ICLR, CVPR and AAAI); its share of the topic grew, from 15.8% to 20.4%.
How this is decided
A benchmark is tracked when at least four papers of this approach report their own method on the same dataset and metric in at least two different years. Its record is the best number reported up to 2024 compared with the best reported in 2025–26: still improving means at least 1% better, flat means at most 0.2% better with at least two papers from 2025–26 trying. Numbers on a different scale from the rest (a fraction among percentages) and far outliers are left out. Results come from different papers with different setups, so they are signals, not head-to-head comparisons. The share of papers is counted at ICML, NeurIPS, ICLR, CVPR and AAAI.
How it got here
Most cited paper of each year
- 2016 · FANNG: Fast Approximate Nearest Neighbour Graphs (CVPR 2016 · 139 citations)
- 2017 · Joint Graph Decomposition & Node Labeling: Problem, Algorithms, Applications (CVPR 2017 · 107 citations)
- 2018 · Graph-Cut RANSAC (CVPR 2018 · 360 citations)
- 2019 · Optimal Transport for structured data with application on graphs (ICML 2019 · 136 citations)
- 2020 · Enumerating Maximal k-Plexes with Worst-Case Time Guarantee (AAAI 2020 · 33 citations)
- 2021 · Improving Maximum k-plex Solver via Second-Order Reduction and Graph Color Bounding (AAAI 2021 · 36 citations)
- 2022 · BOND: Benchmarking Unsupervised Outlier Node Detection on Static Attributed Graphs (NeurIPS 2022 · 40 citations)
- 2023 · GMDNet: A Graph-Based Mixture Density Network for Estimating Packages’ Multimodal Travel Time Distribution (AAAI 2023 · 10 citations)
- 2024 · Large-Scale Multi-Robot Coverage Path Planning via Local Search (AAAI 2024 · 14 citations)
- 2025 · Pre-Assignment Problem for Unique Minimum Vertex Cover on Bounded Clique-Width Graphs (AAAI 2025 · 2 citations)
- 2026 · Fast Estimation for Forest Matrix of Signed Graphs (ICML 2026 · 0 citations)
Earliest papers here
- FANNG: Fast Approximate Nearest Neighbour Graphs (CVPR 2016 · 139 citations)
- Edge-exchangeable graphs and sparsity (NeurIPS 2016 · 33 citations)
- Detect Overlapping Communities via Ranking Node Popularities (AAAI 2016 · 25 citations)
What has been tried
114 papers here report 906 measured changes (a component added, removed or swapped, compared with a baseline): helped 65%, no clear effect 10%, hurt 19%, mixed 6%. Papers mostly publish changes that helped, so "helped" is over-represented.
Ablations in recent papers
| What was changed | Measured on | Result | Effect | Paper |
|---|---|---|---|---|
| Replace Full-STC with ESTC | flr-l and trn1-l · path cost | Helped | Large-Scale Multi-Robot Coverage Path Planning via Local Search (AAAI 2024 · 14 citations) | |
| add progressive sampling | OGBN-MAG · Test accuracy | 47.66 ± 0.45 -> 54.83±0.20 | Helped | Long-range Meta-path Search on Large-scale Heterogeneous Graphs (NeurIPS 2024 · 9 citations) |
| Increase α from 1/3 to 0.99 | Facebook · density | Helped | Optimal Quasi-clique: Hardness, Equivalence with Densest-k-Subgraph, and Quasi-partitioned Community Mining (AAAI 2024 · 5 citations) | |
| Use GSG instead of RBF while retaining random sampling | SIR, SW · localization error | 7.4±0.6 -> 6.6±1.5; -10.8% | Helped | Multiple-Source Localization from a Single-Snapshot Observation Using Graph Bayesian Optimization (AAAI 2024 · 3 citations) |
| Disable the DOMV and MC reduction rules | h 141, h 165, h 181 · objective value gap over search time | Hurt | Threshold-Based Responsive Simulated Annealing for Directed Feedback Vertex Set Problem (AAAI 2024 · 3 citations) | |
| Partition the space with L > 1 instead of L = 1 | SIFT10M, Tiny5M, and GIST · recall-QPS performance | Helped | Probabilistic Routing for Graph-Based Approximate Nearest Neighbor Search (ICML 2024 · 1 citation) | |
| Use 2 or 4 partitions instead of the unpartitioned baseline | SIFT1M · QPS-recall performance | Helped | CSPG: Crossing Sparse Proximity Graphs for Approximate Nearest Neighbor Search (NeurIPS 2024 · 1 citation) | |
| add the relation net | ArcPie Seen · PL-F1 ssa | 0.693 -> 0.854 | Helped | 3DPGS: 3D Probabilistic Graph Search for Archaeological Piece Grouping (AAAI 2025 · 0 citations) |
| Use Φ1 or Φ2 instead of Φ0 in OST | Document classification · classification performance | Helped | An Efficient Orlicz-Sobolev Approach for Transporting Unbalanced Measures on a Graph (NeurIPS 2025 · 0 citations) | |
| Add antithetic termination to repelling random walks | cylinder · angular error (1-cos θ) | 0.0466(3) -> 0.0459(2) | Helped | Repelling Random Walks (ICLR 2024 · 0 citations) |
| Train a neural modulation function instead of using the unbiased modulation | Small ER, Larger ER, Binary tree, d-regular, Karate, Dolphins, Football, and Eurosis · Frobenius norm error | 0.0488(9) -> 0.0437(9); 0.0503(4) -> 0.0448(4); 0.0453(4) -> 0.0410(4); 0.0490(2) -> 0.0434(2); 0.0492(6) -> 0.0439(6); | Helped | General Graph Random Features (ICLR 2024 · 0 citations) |
| Use 10 uniform chunks instead of full autoregressive coding | Multiset 1k · compression rate (bits) | 1833 -> 2707 | Hurt | Practical Shuffle Coding (NeurIPS 2024 · 0 citations) |
What reviewers will expect
Datasets and baselines named in the 20 papers of this approach from 2025–2026 that have a full-text summary. Leaving out the common ones is a frequent review question.
Datasets
- TWITTER · 2 of 20 papers
- RECIPE · 2 of 20 papers
- CLASSIC · 2 of 20 papers
- AMAZON · 2 of 20 papers
- Orbit · 2 of 20 papers
- MPEG7 · 2 of 20 papers
- SIFT1M · 2 of 20 papers
- GIST1M · 2 of 20 papers
Recent preprints
Loading recent arXiv preprints…
Who publishes on it
Institutions on the most papers of this approach since 2023 (of 72 papers; from OpenAlex and the papers' affiliations).
- Google · 8 papers
- University of Cambridge · 3 papers
- Czech Technical University in Prague · 2 papers
- Huazhong University of Science and Technology · 2 papers
- University of Haifa · 2 papers
- Vector Institute · 2 papers
- University of Amsterdam · 2 papers
- Fudan University · 2 papers
- Preferred Networks · 2 papers
- Tokyo Institute of Technology · 2 papers
Use it
Download BibTeX of 40 key papersOpen the topic in the interactive map
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Related approaches
Same keyword cluster
- Neural combinatorial optimization on graphs (159 papers)
- Graph embedding and spectral sparsification (126 papers)
- Continuous DAG structure learning (102 papers)
- Graph distance and retrieval (79 papers)
Elsewhere in the topic
- Neural and local graph clustering (81 papers)
- Deep learning for graph matching (42 papers)
- Optimization algorithms for graph matching (42 papers)
- Anchor-based multi-view clustering (31 papers)
Benchmark numbers, ablations and baseline numbers are extracted by AI from each paper's full text and can be wrong; the paper is the authority. Data: results index of 2026-11-02, citation counts from OpenAlex (2026-10-09).
