Mục lục

  • Background Materials

    • Basic Definitions and Some Properties

    • DCA Schemes

    • General Convergence Theorem

    • Convergence Rates

    • Conclusions

    • Analysis of an Algorithm in Indefinite Quadratic Programming

      • Indefinite Quadratic Programs and DCAs

      • Convergence and Convergence Rate of the Algorithm

      • Asymptotical Stability of the Algorithm

      • Further Analysis

      • Conclusions

      • Qualitative Properties of the Minimum Sum-of-Squares Clustering Problem

        • Clustering Problems

        • Basic Properties of the MSSC Problem

        • The k-means Algorithm

        • Characterizations of the Local Solutions

        • Stability Properties

        • Conclusions

        • Some Incremental Algorithms for the Clustering Problem

          • Incremental Clustering Algorithms

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