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Logistic regression with l1 regularization has been proposed as a promising method for feature selection in classification… Expand Recently, a lot of attention has been paid to regularization based methods for sparse signal reconstruction (e.g., basis pursuit… Expand Abstract.We present a primal-dual interior-point algorithm with a filter line-search method for nonlinear programming. Local and… Expand Interior methods are an omnipresent, conspicuous feature of the constrained optimization landscape today, but it was not always… Expand In this paper we continue the development of a theoretical foundation for efficient primal-dual interior-point algorithms for… Expand Preface Notation 1. Introduction. Linear Programming Primal-Dual Methods The Central Path A Primal-Dual Framework Path-Following… Expand We propose a new interior-point-based method to minimize a linear function of a matrix variable subject to linear equality and… Expand This paper studies the semidefinite programming SDP problem, i.e., the optimization problem of a linear function of a symmetric… Expand Written for specialists working in optimization, mathematical programming, or control theory. The general theory of path… Expand This paper gives an approach to implementing a second-order primal-dual interior point method. It uses a Taylor polynomial of… Expand