Drusens are indicators of macular degeneration, a disease characterized by accumulations of extra cellular materials under retina. The automatic study of the quantitative evolution of Drusen spots throughout a medical treatment constitutes a useful tool for ophthalmologists. Until now, drusen evaluation was done manually, based only on qualitative aspects. Also the analyses depended on the opht...

We propose a new family of Newton-type methods for the solution of constrained systems of equations. Under suitable conditions, that do not include differentiability or local uniqueness of solutions, local, quadratic convergence to a solution of the system can be established. We show that as particular instances of the method we obtain inexact versions of both a recently introduced LP-based New...

Given data in the form of a collection of (x,y) pairs of real numbers, the symbolic function identification problem is to find a functional model of the form y = f(x) that fits the data. This paper describes a system for solution of symbolic function identification problems that combines a genetic algorithm and the Levenberg-Marquardt nonlinear regression algorithm. The genetic algorithm uses a...

An inverse iterative algorithm for microwave imaging based on moment method solution is presented here. A modified Gauss-Newton method has been depicted here to address the nonlinear ill-posed problem. The stabilization term consists of a combination of three weighted discrete derivative operators instead of an Identity matrix as in the Levenberg-Marquardt method based algorithm developed by us...

In this paper, a new algorithm for the instantaneous mixture of the blind separation of sources problem is derived. This algorithm deals with Multi-Input Multi-Output (MIMO) channels. The cost function proposed in this paper can be considered as an extension of that previously proposed by us (Mansour-Jutten 6]) for only two sources and two sensors. The cost function is based on the cross-cumula...

We present an algorithm based on maximum likelihood for the estimation and renormalization (marginalization) of exponential densities. The moment-matching problem resulting from the maximization of the likelihood is solved as an optimization problem using the Levenberg-Marquardt algorithm. In the case of renormalization, the moments needed to set up the moment-matching problem are evaluated usi...

The Levenberg-Marquardt (LM) learning algorithm is a popular algorithm for training neural networks; however, for large neural networks, it becomes prohibitively expensive in terms of running time and memory requirements. The most time-critical step of the algorithm is the calculation of the Gauss-Newton matrix, which is formed by multiplying two large Jacobian matrices together. We propose a m...

The modeling of facial appearance has many applications. This paper proposes an approach to generating a statistical face model based on video mosaicing. Unlike traditional video mosaicing, we use the geometry of a face to improve the mosaicing result. Given a face sequence, each frame is unwrapped onto certain portion of the surface of a sphere, as determined by spherical projection and the mi...