Zhihua Zhang

  1. Coherence Functions with Applications in Large-Margin Classification Methods.

    Authors: Michael I. Jordan, Zhihua Zhang, Guang Dai
    Subjects: Machine Learning
    Abstract

    Support vector machines (SVMs) naturally embody sparseness due to their use
    of hinge loss functions. However, SVMs can not directly estimate conditional
    class probabilities. In this paper we propose and study a family of coherence
    functions, which are convex and differentiable, as surrogates of the hinge
    function. The coherence function is derived by using the maximum-entropy
    principle and is characterized by a temperature parameter. It bridges the hinge
    function and the logit function in logistic regression.

  2. Multiway Spectral Clustering: A Margin-Based Perspective.

    Authors: Michael I. Jordan, Zhihua Zhang
    Subjects: Methodology
    Abstract

    Spectral clustering is a broad class of clustering procedures in which an
    intractable combinatorial optimization formulation of clustering is "relaxed"
    into a tractable eigenvector problem, and in which the relaxed solution is
    subsequently "rounded" into an approximate discrete solution to the original
    problem. In this paper we present a novel margin-based perspective on multiway
    spectral clustering.

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