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New paper shows hierarchical clustering can satisfy multiple axioms

A new paper explores the limitations of clustering algorithms, specifically addressing Kleinberg's Impossibility Theorem which states that no single partition can satisfy scale invariance, richness, and consistency. The research demonstrates that by shifting from flat partitions to hierarchical clustering, these axioms can be jointly satisfied. The paper introduces the concept of 'admissible' hierarchical clustering methods and shows that while there is significant diversity among them, they all share a common backbone of well-separated clusters. AI

IMPACT This research advances theoretical understanding of clustering algorithms, potentially leading to more robust methods for data analysis in AI.

RANK_REASON The cluster is about an academic paper published on arXiv discussing theoretical computer science concepts.

Read on Hugging Face Daily Papers →

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New paper shows hierarchical clustering can satisfy multiple axioms

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The cluster is about an academic paper published on arXiv discussing theoretical computer science concepts.
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COVERAGE [2]

  1. Hugging Face Daily Papers TIER_1 English(EN) ·

    Hierarchical Clustering Can Jointly Satisfy Richness, Consistency, and Scale Invariance

    Despite its ubiquity, clustering lacks a universally accepted definition of what is a cluster. Kleinberg's Impossibility Theorem formalizes this difficulty by showing that no flat clustering method can simultaneously satisfy three natural axioms: scale invariance, richness, and c…

  2. arXiv stat.ML TIER_1 English(EN) · Daichi Kuroda, Maximilien Dreveton, Matthias Grossglauser, Patrick Thiran ·

    Hierarchical Clustering Can Jointly Satisfy Richness, Consistency, and Scale Invariance

    arXiv:2609.11173v1 Announce Type: cross Abstract: Despite its ubiquity, clustering lacks a universally accepted definition of what is a cluster. Kleinberg's Impossibility Theorem formalizes this difficulty by showing that no flat clustering method can simultaneously satisfy three…