In previous work, the generalized pattern search (GPS) algorithm for linearly constrained (continuous) optimization was extended to mixed variable problems, in which some of the variables may be categorical. In another paper, the mesh adaptive direct search (MADS) algorithm was introduced as a generalization of GPS for problems with general nonlinear constrained. The convergence analyses of the...

Benjamin W. Wah, Yi Shang, Tao Wang, and Ting Yu Coordinated Science Laboratory University of Illinois at Urbana-Champaign 1308 West Main Street Urbana, IL 61801, USA fwah, shang, wangtao, [email protected] ABSTRACT In this paper, we present a new global optimization method for designing QMF (quadrature mirror lters) lter banks. We formulate the design problem as a nonlinear constrain...

We propose a method for constrained and unconstrained nonlinear multiobjective optimization problems that is based on an SQP-type approach. The proposed algorithm maintains a list of nondominated points that is improved both for spread along the Pareto front and optimality by solving single-objective constrained optimization problems. These single-objective problems are derived as SQP problems ...

We present a novel algorithm for optimally segmenting dynamic scenes containing multiple rigidly moving objects. We cast the motion segmentation problem as a constrained nonlinear least squares problem which minimizes the reprojection error subject to all multibody epipolar constraints. By converting this constrained problem into an unconstrained one, we obtain an objective function that depend...

In this paper, we study the structure from motion problem as a constrained nonlinear least squares problem which minimizes the so called reprojection error subject to all constraints among multiple images. By converting this constrained optimization problem to an unconstrained one, we obtain a multiview version of the normalized epipolar constraint of two views. Such a multiview normalized epip...

The theory of increasing positively homogeneous functions deened on the positive orthant is applied to the class of decreasing functions. A multiplicative version of the inf-convolution operation is studied for decreasing functions. Modiied penalty functions for some constrained optimization problems are introduced which are in general nonlinear with respect to the objective function of the ori...

We consider an implementation of a recursive model-based active-set trust-region method for solving bound-constrained nonlinear non-convex optimization problems without derivatives using the technique of self-correcting geometry proposed in [24]. Considering an active-set method in modelbased optimization creates the opportunity of saving a substantial amount of function evaluations when mainta...

In this series of papers, we present a motion planning framework for planning comfortable and customizable motion of nonholonomic mobile robots such as intelligent wheelchairs and autonomous cars. In Part I, we presented the mathematical foundation of our framework, where we model motion discomfort as a weighted cost functional and define comfortable motion planning as a nonlinear constrained o...

This paper describes a technique to separate the speech of two speakers recorded over a single channel. The main focus of this research is to separate overlapping voiced speech signals using constrained nonlinear optimization. Based on the assumption that voiced speech can be modeled as a slowly-varying vocal tract filter with a quasi-periodic train of impulses, the speech waveform is represent...