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Tag: hierarchical

  • Minimax Rates for Hyperbolic Hierarchical Learning

    Minimax Rates for Hyperbolic Hierarchical Learning arXiv:2601.20047v1 Announce Type: new Abstract: We prove an exponential separation in sample complexity between Euclidean and hyperbolic representations for learning on hierarchical data under standard Lipschitz regularization. For depth-$R$ hierarchies with branching factor $m$, we first establish a geometric obstruction for Euclidean space: any bounded-radius embedding forces volumetric collapse,…

  • Hierarchical Variable Importance with Statistical Control for Medical Data-Based Prediction

    Hierarchical Variable Importance with Statistical Control for Medical Data-Based Prediction arXiv:2508.08724v1 Announce Type: new Abstract: Recent advances in machine learning have greatly expanded the repertoire of predictive methods for medical imaging. However, the interpretability of complex models remains a challenge, which limits their utility in medical applications. Recently, model-agnostic methods have been proposed to measure…

  • Hierarchical clustering with maximum density paths and mixture models

    Hierarchical clustering with maximum density paths and mixture models arXiv:2503.15582v1 Announce Type: new Abstract: Hierarchical clustering is an effective and interpretable technique for analyzing structure in data, offering a nuanced understanding by revealing insights at multiple scales and resolutions. It is particularly helpful in settings where the exact number of clusters is unknown, and provides…

  • Coupled Hierarchical Structure Learning using Tree-Wasserstein Distance

    Coupled Hierarchical Structure Learning using Tree-Wasserstein Distance arXiv:2501.03627v1 Announce Type: cross Abstract: In many applications, both data samples and features have underlying hierarchical structures. However, existing methods for learning these latent structures typically focus on either samples or features, ignoring possible coupling between them. In this paper, we introduce a coupled hierarchical structure learning method…