Tao Jiang

On identifying clusters from sum-of-norms clustering computation

  • Tao Jiang
  • Stephen A. Vavasis
    • Categories Applications - Science and Engineering

    Sum-of-norms clustering is a clustering formulation based on convex optimization that automatically induces hierarchy. Multiple algorithms have been proposed to solve the optimization problem: subgradient descent by Hocking et al.\ \cite{hocking}, ADMM and ADA by Chi and Lange\ \cite{Chi}, stochastic incremental algorithm by Panahi et al.\ \cite{Panahi} and semismooth Newton-CG augmented Lagrangian method by Yuan … Read more

    Recovery of a mixture of Gaussians by sum-of-norms clustering

  • Tao Jiang
  • Stephen A. Vavasis
  • Chen Wen Zhai
    • Categories Second-Order Cone Programming, Statistics

    Sum-of-norms clustering is a method for assigning $n$ points in $\R^d$ to $K$ clusters, $1\le K\le n$, using convex optimization. Recently, Panahi et al.\ proved that sum-of-norms clustering is guaranteed to recover a mixture of Gaussians under the restriction that the number of samples is not too large. The purpose of this note is to … Read more