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QuasiNewton Methods With Derivatives
, 1995
"... When the Jacobian of a nonlinear system of equations is fully available, the main drawback for the application of Newton's method is the linear algebra work associated with its basic iteration. In many cases, quasiNewton methods "with cheap linear algebra" can be applied. The availa ..."
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. The availability of the derivatives leads us to define new quasiNewton methods where true Jacobians are used in an efficient way. In this paper, we investigate quasiNewton methods for solving nonlinear simultaneous equations assuming that true derivatives of the function can be used. We prove local convergence
QuasiNewton Methods for Markov
"... The performance of Markov chain Monte Carlo methods is often sensitive to the scaling and correlations between the random variables of interest. An important source of information about the local correlation and scale is given by the Hessian matrix of the target distribution, but this is often eithe ..."
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either computationally expensive or infeasible. In this paper we propose MCMC samplers that make use of quasiNewton approximations, which approximate the Hessian of the target distribution from previous samples and gradients generated by the sampler. A key issue is that MCMC samplers that depend
FREQUENCYWEIGHTED L2SENSITIVITY MINIMIZATION FOR 2D STATESPACE DIGITAL FILTERS SUBJECT TO L2SCALING CONSTRAINTS BY A QUASINEWTON METHOD
"... This paper considers the problem of minimizing a frequencyweighted l2sensitivity measure subject to l2scaling constraints for 2D statespace digital filters. First, the frequencyweighted l2sensitivity is analyzed for 2D statespace digital filters described by the Roesser local statespace mod ..."
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space model. Next, the minimization problem of the frequencyweighted l2sensitivity subject to l2scaling constraints is formulated. The constrained optimization problem is then converted into an unconstrained optimization formulation by using linearalgebraic techniques. An efficient quasiNewton algorithm
Minimization of L2sensitivity for statespace digital filters subject to L2dynamicrange scaling constraints
 IEEE Trans. Circuits Syst.II
, 2005
"... A new approach to the problem of minimizing L2sensitivity subject to L2norm scaling constraints for statespace digital filters is proposed. Using linearalgebraic techniques, the problem at hand is converted into an unconstrained optimization problem, and the unconstrained problem obtained is then ..."
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Cited by 8 (5 self)
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is then solved by applying an efficient quasiNewton algorithm. Computer simulation results are presented to demonstrate the effectiveness of the proposed technique. I.
Efficient Variants of the ICP Algorithm
 INTERNATIONAL CONFERENCE ON 3D DIGITAL IMAGING AND MODELING
, 2001
"... The ICP (Iterative Closest Point) algorithm is widely used for geometric alignment of threedimensional models when an initial estimate of the relative pose is known. Many variants of ICP have been proposed, affecting all phases of the algorithm from the selection and matching of points to the minim ..."
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Cited by 702 (5 self)
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The ICP (Iterative Closest Point) algorithm is widely used for geometric alignment of threedimensional models when an initial estimate of the relative pose is known. Many variants of ICP have been proposed, affecting all phases of the algorithm from the selection and matching of points
MINIMIZATION OF L2SENSITIVITY FOR 2D STATESPACE DIGITAL FILTERS SUBJECT TO L2SCALING CONSTRAINTS
"... A new approach to the problem of minimizing L2sensitivity subject to L2norm scaling constraints for twodimensional (2D) statespace digital filters is proposed. Using linearalgebraic techniques, the problem at hand is converted into an unconstrained optimization problem, and the unconstrained pr ..."
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Cited by 3 (3 self)
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problem obtained is then solved by applying an efficient quasiNewton algorithm. Computer simulation results are presented to illustrate the effectiveness of the proposed technique. I.
JOINTLY OPTIMIZED HIGHORDER ERROR FEEDBACK AND REALIZATION FOR ROUNDOFF NOISE MINIMIZAION IN STATESPACE DIGITAL FILTERS
"... Abstract — The joint optimization problem of highorder error feedback and realization for statespace digital filters to minimize the effects of roundoff noise at the filter output subject to l2scaling constraints is investigated. The problem is converted into an unconstrained optimization problem ..."
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Cited by 1 (1 self)
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by using linearalgebraic techniques. The unconstrained optimization problem at hand is then solved iteratively by applying an efficient quasiNewton algorithm with closedform formulas for key gradient evaluation. Finally, a numerical example is presented to illustrate the utility of the proposed
Roundoff Noise Minimization for a Class of 2D StateSpace Digital Filters Using Separate/Joint Optimization of Error Feedback and Realization
"... Abstract — Techniques for the separate/joint optimization of errorfeedback and realization are developed to minimize the roundoff noise subject to L2norm dynamicrange scaling constraints for a class of 2D statespace digital filters. In the joint optimization, the problem at hand is converted in ..."
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into an unconstrained optimization problem by using linearalgebraic techniques. The unconstrained problem obtained is then solved by applying an efficient quasiNewton algorithm. A numerical example is presented to illustrate the utility of the proposed techniques. I.
Results 1  10
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1,238,548