Corpus ID: 1072171

Clustering is difficult only when it does not matter

  title={Clustering is difficult only when it does not matter},
  author={Amit Daniely and N. Linial and M. Saks},
  • Amit Daniely, N. Linial, M. Saks
  • Published 2012
  • Mathematics, Computer Science
  • ArXiv
  • Numerous papers ask how difficult it is to cluster data. We suggest that the more relevant and interesting question is how difficult it is to cluster data sets {\em that can be clustered well}. More generally, despite the ubiquity and the great importance of clustering, we still do not have a satisfactory mathematical theory of clustering. In order to properly understand clustering, it is clearly necessary to develop a solid theoretical basis for the area. For example, from the perspective of… CONTINUE READING
    30 Citations
    Clustering is Easy When ....What?
    • 5
    • PDF
    Computational Feasibility of Clustering under Clusterability Assumptions
    • 34
    • PDF
    An Effective and Efficient Approach for Clusterability Evaluation
    • 7
    • PDF
    Clustering Redemption-Beyond the Impossibility of Kleinberg's Axioms
    • 2
    • PDF
    On the practically interesting instances of MAXCUT
    • 29
    • PDF
    Analysis of Ward's Method
    • 4
    • PDF
    Data ultrametricity and clusterability
    • 1
    • PDF


    Which Data Sets are ‘Clusterable’? – A Theoretical Study of Clusterability
    • 14
    An Impossibility Theorem for Clustering
    • 568
    • PDF
    A discriminative framework for clustering via similarity functions
    • 146
    • PDF
    Thoughts on clustering ∗
    • 6
    • PDF
    Center-based clustering under perturbation stability
    • 107
    • PDF
    Finding overlapping communities in social networks: toward a rigorous approach
    • 53
    • PDF
    On the Furthest Hyperplane Problem and Maximal Margin Clustering
    • 2
    • PDF
    Are Stable Instances Easy?
    • 113
    • PDF
    Computers and Intractability: A Guide to the Theory of NP-Completeness
    • 47,337
    • PDF
    Are stable instances easy? In ICS
    • Are stable instances easy? In ICS
    • 2010