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TANGO: Clustering with Typicality-Aware Nonlocal Mode-Seeking and Graph-Cut Optimization
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Proposes TANGO, a clustering method that uses a global-view "typicality" score over density-ascending dependencies to decide modes without thresholds, then aggregates sub-clusters via graph-cut (spectral clustering) on a path-based similarity.
Problem
Mode-seeking clustering methods (Quick Shift, DPC and variants) decide modes from local density and distance, requiring case-by-case thresholds or human intervention to work across datasets.
Approach
Define a recursive typicality T = B^T T + rho over a hierarchical leader-based dependency graph, break dependencies where a point's typicality is at least its leader's to form modes, then merge mode-centered sub-clusters with spectral clustering on an improved path-based (minimax-connectivity) similarity weighted by densities.
Key results
- On 16 real-world datasets TANGO achieves the best ARI on all datasets versus 10 baselines; e.g., banknote ARI 96.53 vs 95.39 (CPF) and MNIST (AE) ARI 83.4 vs 73.8 (USPEC).
- Friedman test p=2.9e-16 and Nemenyi post-hoc test shows TANGO's mean rank differences exceed CD=2.30.
- Time complexity stated as O(nk^2 d), dominated by similarity computation; segmentation of 154,401-pixel images runs in under 4 seconds beyond similarity computation.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use TANGO instead of KNN-SC | real-world clustering · wdbc | ARI: 81.76 -> 85.01 | Helped |
| use TANGO instead of QKSPP | real-world clustering · heartEW | ARI: 36.62 -> 39.4 | Helped |
| use TANGO instead of DEMOS | real-world clustering · segmentation | ARI: 61.19 -> 64.21 | Helped |
| use TANGO instead of LDP-SC | real-world clustering · semeion | ARI: 55.58 -> 65.37 | Helped |
| use TANGO instead of USPEC | real-world clustering · semeionEW | ARI: 55.95 -> 63.49 | Helped |
| use TANGO instead of QKSPP | real-world clustering · ver2 | ARI: 37.62 -> 42.85 | Helped |
| use TANGO instead of USPEC | real-world clustering · synthetic-control | ARI: 68.86 -> 72.23 | Helped |
| use TANGO instead of LDP-MST | real-world clustering · waveform | ARI: 31.34 -> 39.77 | Helped |
| use TANGO instead of KNN-SC | real-world clustering · CongressEW | ARI: 61.35 -> 69.54 | Helped |
| use TANGO instead of LDP-SC | real-world clustering · mfeat-zer | ARI: 62.7 -> 66.33 | Helped |
| use TANGO instead of DPC-DBFN | real-world clustering · ionosphereEW | ARI: 26.29 -> 49.15 | Helped |
| use TANGO instead of CPF | real-world clustering · banknote | ARI: 95.39 -> 96.53 | Helped |
Surprising findings
- Authors note TANGO underperforms when low-density points lie uniformly around high-density points with extreme density discrepancy, since typicality of low-density points is insufficient to break dependencies.
Limitations
- Performs worse when low-density points surround high-density points with extreme density discrepancy, so dependencies are not broken.
- Single hyperparameter k still has to be chosen; automatic selection is left to future work.
Experimental setup
Datasets: wdbc heartEW segmentation semeion semeionEW ver2 synthetic-control waveform CongressEW mfeat-zer ionosphereEW banknote
Benchmarks: wdbc heartEW segmentation semeion semeionEW ver2 synthetic-control waveform CongressEW mfeat-zer ionosphereEW banknote
Metrics: ARI NMI ACC
Baselines: LDP-SC DCDP-ASC LDP-MST NDP-Kmeans DEMOS CPF QKSPP DPC-DBFN USPEC KNN-SC
Builds on: Quick Shift Density Peaks Clustering Normalized Cut PageRank
Closest papers by meaning
- Scalable Laplacian K-modes (NeurIPS 2018 · similarity 0.87)
- Efficient Testing for Correlation Clustering: Improved Algorithms and Optimal Bounds (ICLR 2026 · similarity 0.85)
- Graph-Based Algorithms for Diverse Similarity Search (ICML 2025 · similarity 0.84)
- Optimal Graph Clustering without Edge Density Signals (NeurIPS 2025 · similarity 0.83)
- Structure-Aware Spectral Sparsification via Uniform Edge Sampling (NeurIPS 2025 · similarity 0.83)
- THESAURUS: Contrastive Graph Clustering by Swapping Fused Gromov-Wasserstein Couplings (AAAI 2025 · similarity 0.83)
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