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TANGO: Clustering with Typicality-Aware Nonlocal Mode-Seeking and Graph-Cut Optimization

ICML 2025 · Graph learning › Graph algorithms and clustering · approach: Neural and local graph clustering · 0 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
use TANGO instead of KNN-SCreal-world clustering · wdbcARI: 81.76 -> 85.01Helped
use TANGO instead of QKSPPreal-world clustering · heartEWARI: 36.62 -> 39.4Helped
use TANGO instead of DEMOSreal-world clustering · segmentationARI: 61.19 -> 64.21Helped
use TANGO instead of LDP-SCreal-world clustering · semeionARI: 55.58 -> 65.37Helped
use TANGO instead of USPECreal-world clustering · semeionEWARI: 55.95 -> 63.49Helped
use TANGO instead of QKSPPreal-world clustering · ver2ARI: 37.62 -> 42.85Helped
use TANGO instead of USPECreal-world clustering · synthetic-controlARI: 68.86 -> 72.23Helped
use TANGO instead of LDP-MSTreal-world clustering · waveformARI: 31.34 -> 39.77Helped
use TANGO instead of KNN-SCreal-world clustering · CongressEWARI: 61.35 -> 69.54Helped
use TANGO instead of LDP-SCreal-world clustering · mfeat-zerARI: 62.7 -> 66.33Helped
use TANGO instead of DPC-DBFNreal-world clustering · ionosphereEWARI: 26.29 -> 49.15Helped
use TANGO instead of CPFreal-world clustering · banknoteARI: 95.39 -> 96.53Helped

Surprising findings

Limitations

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

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