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New graph dictionary learning framework uses optimal transport for improved classification

Researchers have developed a new graph dictionary learning (GDL) framework that represents graphs as zero-mean Gaussian distributions derived from their filtered Laplacian. This framework approximates observed graphs using a barycenter of learned atom graphs, measured by a novel filter graph distance (fGOT) metric. The reconstruction error is minimized using a tractable approximation called surrogate fGOT (sfGOT), which is optimized end-to-end via backpropagation and linked to the Hilbert-Schmidt Independence Criterion for maximizing statistical dependence between node spectral embeddings. Experiments show this approach achieves competitive performance in graph clustering and classification tasks. AI

IMPACT Introduces a new method for graph representation and analysis, potentially improving performance in graph-based machine learning tasks.

RANK_REASON The cluster contains a research paper detailing a novel framework for graph dictionary learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New graph dictionary learning framework uses optimal transport for improved classification

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The cluster contains a research paper detailing a novel framework for graph dictionary learning. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Jinchuan Liao, Dai Hai Nguyen ·

    A dictionary learning framework for graphs via filters and optimal transport

    arXiv:2609.05919v1 Announce Type: new Abstract: We propose a graph dictionary learning (GDL) framework where each graph is represented as a zero-mean Gaussian distribution derived from its filtered Laplacian. Each observed graph is approximated by a barycenter over learned atom g…