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Tensorized Label Learning on Anchor Graph

AAAI 2024 · Graph learning › Graph algorithms and clustering · approach: Neural and local graph clustering · 18 citations (OpenAlex)

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Proposes TLL-AG, a multi-view clustering model that factorizes per-view anchor graphs with orthogonal non-negative matrix factorization to get soft labels directly, and regularizes the stacked label tensor with tensor Schatten p-norm, optimized via ALM.

Problem

Graph-based multimedia/multi-view clustering needs costly post-processing to obtain labels from anchor graphs, and existing anchor-graph methods align cross-view labels pixel-by-pixel (F-norm), ignoring spatial/cross-view structure.

Approach

Decompose each view's anchor graph via G-orthogonal non-negative matrix factorization so the indicator matrix directly yields cluster labels, and impose a tensor Schatten p-norm on the stacked label tensor to capture complementary cross-view information.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use TLL-AG instead of MSC-BGMulti-view clustering · MSRCACC: 0.981 -> 0.986Helped
Use TLL-AG instead of MSC-BGMulti-view clustering · MSRCNMI: 0.960 -> 0.968Helped
Use TLL-AG instead of ETLMSCMulti-view clustering · HandWritten4ACC: 0.938 -> 0.982Helped
Use TLL-AG instead of MSC-BGMulti-view clustering · HandWritten4NMI: 0.922 -> 0.962Helped
Use TLL-AG instead of MSC-BGMulti-view clustering · Mnist4ACC: 0.938 -> 0.981Helped
Use TLL-AG instead of MSC-BGMulti-view clustering · Mnist4NMI: 0.861 -> 0.935Helped
Use TLL-AG instead of MSC-BGMulti-view clustering · ReutersACC: 0.640 -> 0.686Helped
Use TLL-AG instead of MSC-BGMulti-view clustering · ReutersNMI: 0.484 -> 0.554Helped
Use TLL-AG instead of FPMVS-CAGMulti-view clustering · NoisyMNISTACC: 0.554 -> 0.605Helped
Use TLL-AG instead of FPMVS-CAGMulti-view clustering · NoisyMNISTNMI: 0.513 -> 0.593Helped
Vary the anchor rate (ablation)TLL-AG · HandWritten4 and Mnist4Clustering metricsMixed
Vary the anchor rate (ablation)TLL-AG · HandWritten4 and Mnist4Running timeHurt

Surprising findings

Limitations

Experimental setup

Datasets: MSRC HandWritten4 Mnist4 Reuters NoisyMNIST

Benchmarks: MSRC HandWritten4 Mnist4 Reuters NoisyMNIST

Metrics: ACC NMI Purity running time

Baselines: FMCNOF LMVSC GMC SMSC FPMVS-CAG ETLMSC MSC-BG

Builds on: FMCNOF anchor graph tensor Schatten p-norm G-orthogonal NMF augmented Lagrange multiplier

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