We introduce a novel method to compute a rank m approximation of the inverse of the Hessian matrix in the distributed regime. By leveraging the differences in gradients and parameters of multiple Workers, we are able to efficiently implement a distributed approximation of the Newton-Raphson method. We also present preliminary results which underline advantages and challenges of secondorder meth...

This article considerss a Newton-like method already used by several authors but which has not been thouroughly studied yet. We call it the robust-variance scoring (RVS) algorithm because the main version of the algorithm that we consider replaces minus the Hessian of the loglikelihood used in the 1 Newton-Raphson algorithm by a matrix G which is an estimate of the variance of the score under t...

In this paper, a 3D localization method for an indoor flying robot using an Ultrasonic Positioning System (UPS) is described. The high performance localization systems for an indoor flying robot have high-end prices. Therefore, the main objective of this study was to develop a low cost and high performance indoor localization system. In the localization method, the pseudoranges are measured fro...

In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations to the nonlinear algebraic equations. Then, the Newton-Raphson method is used for solving these sets of algebraic equations. To present ability ...