Nowadays, a series of methods are based on a L1 penalty to solve the variable selection problem for a Cox’s proportional hazards model. In 2010, Xu et al. have proposed a L1/2 regularization and proved that the L1/2 penalty is sparser than the L1 penalty in linear regression models. In this paper, we propose a novel shooting method for the L1/2 regularization and apply it on the Cox model for v...

Trouble shooting is an application of well-known problem solving techniques to plant problems. This paper proposes that trouble shooting be included in the undergraduate program and that CAPE educators play a leading role in shaping the education. First, the six-step problem solving method is tailored to trouble shooting. Then, the tailored method is applied to a process example, which demonstr...

A new approach to the solution of optimal control problems for mechanical systems is proposed. It is based on a direct discretization of the Lagrange-d’Alembert principle for the system (as opposed to using, for example, collocation or multiple shooting to enforce the equations of motion as constraints). The resulting forced discrete Euler-Lagrange equations then serve as constraints for the op...

We address direct multiple shooting based algorithms for nonlinear model predictive control, with a focus on problems with long prediction horizons. We describe different efficient multiple shooting variants with a computational effort that is only linear in the horizon length. Proposed techniques comprise structure exploiting linear algebra on the one hand, and approximation of derivative info...

Two-impulse trajectories as well as mixed invariant-manifold and low-thrust efficient transfers to the Moon are discussed. Exterior trajectories executing ballistic lunar capture are formalized through the definition of special attainable sets. The coupled restricted threebody problems approximation is used to design appropriate first guesses for the subsequent optimization. The introduction of...

Abstract: A study has been carried out to examine the occurrence of multiple solutions for Copper-Water nanofluids flows in a porous channel with slowly expanding and contracting walls. The governing equations are first transformed to similarity equations by using similarity transformation. The resulting equations are then solved numerically by using the shooting method. The effects of wall exp...

This paper presents a method of real-time 6-DOF stereo camera tracking using ICP algorithm used in our mixed reality based previsualization (PreViz) system for stereoscopic 3D filmmaking. We eliminate the time-consuming preparation processes required for improving the accuracy in our previous work. On the assumption that the camera repeatedly passes along a path roughly determined at the rehear...