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Multi-View Clustering by Inter-cluster Connectivity Guided Reward

ICML 2024 · Learning theory and algorithms › Clustering · approach: Incomplete multi-view clustering

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Proposes a non-parametric multi-view clustering method that infers the unknown cluster number k via a multi-armed bandit whose reward is the negative inter-cluster connectivity on a consensus mutual-nearest-neighbor graph.

Problem

Multi-view clustering usually requires a predefined number of clusters k, which is rarely known in real-world settings.

Approach

Treat each candidate k as a bandit arm, updated by epsilon-greedy with optimistic initialization, and reward it by the negative inter-cluster connectivity of the indicator matrix over a consensus MNN graph, which is argued to be minimized at the true k and to be stable over iterations.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the proposed inter-cluster-connectivity-guided method instead of the strongest reported baselineMulti-view clustering · MSRC-v1NMI: 73.90 ± 0.00 -> 79.76 ± 0.00Helped
Use the proposed inter-cluster-connectivity-guided method instead of the strongest reported baselineMulti-view clustering · MSRC-v1ARI: 91.77 ± 0.27 -> 74.51 ± 0.00Hurt
Use the proposed inter-cluster-connectivity-guided method instead of the strongest reported baselineMulti-view clustering · HWNMI: 90.40 ± 0.00 -> 94.38 ± 0.00Helped
Use the proposed inter-cluster-connectivity-guided method instead of the strongest reported baselineMulti-view clustering · HWARI: 98.29 ± 0.00 -> 94.46 ± 0.00Hurt
Use the proposed inter-cluster-connectivity-guided method instead of the strongest reported baselineMulti-view clustering · BBC14NMI: 74.08 ± 0.00 -> 87.72 ± 0.00Helped
Use the proposed inter-cluster-connectivity-guided method instead of the strongest reported baselineMulti-view clustering · BBC14Purity: 96.55 ± 0.00 -> 99.31 ± 0.00Helped
Use the proposed inter-cluster-connectivity-guided method instead of the strongest reported baselineMulti-view clustering · ORLNMI: 89.89 ± 0.00 -> 90.39 ± 0.00Helped
Use the proposed inter-cluster-connectivity-guided method instead of the strongest reported baselineMulti-view clustering · ORLPurity: 92.50 ± 0.00 -> 82.25 ± 0.00Hurt
Use the proposed inter-cluster-connectivity-guided method instead of the strongest reported baselineMulti-view clustering · ORLARI: 98.71 ± 0.00 -> 69.18 ± 0.00Hurt

Surprising findings

Limitations

Experimental setup

Datasets: MSRC-v1 Handwritten-numerals bbc-seg14of4 ORL

Benchmarks: MSRC-v1 Handwritten-numerals BBC14 ORL

Metrics: NMI Purity ARI

Baselines: Co-train Co-reg MLAN AWP mPAC GMC SMVSC FPMVS COMVSC CSMSC PMSC CoMSC

Builds on: Liu et al. 2023 DQN-based cluster number inference spectral clustering COMIC

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