Search Results - subject:"manifolds"

Gauss–Newton method for convex composite optimizations on Riemannian manifolds

Wang, Jin-Hua; Yao, Jen-Chih; Li, Chong - In: Journal of Global Optimization 53 (2012) 1, pp. 5-28

Persistent link: https://www.econbiz.de/10010845844

The Burgers equation with affine linear noise: Dynamics and stability

Mohammed, Salah; Zhang, Tusheng - In: Stochastic Processes and their Applications 122 (2012) 4, pp. 1887-1916

local smooth invariant manifolds with finite codimension and a countable global invariant foliation of the energy space …

Persistent link: https://www.econbiz.de/10010574709

Multi-dimensional transitional dynamics: A simple numerical procedure

Trimborn, Timo; Koch, Karl-Josef; Steger, Thomas M. - 2004

We propose the relaxation algorithm as a simple and powerful method for simulating the transition process in growth models. This method has a number of important advantages: (1) It can easily deal with a wide range of dynamic systems including multi-dimensional systems with stable eigenvalues...

Persistent link: https://www.econbiz.de/10011753100

Multi-dimensional transitional dynamics : a simple numerical procedure

Trimborn, Timo; Koch, Karl-Josef; Steger, Thomas M. - 2004 - This version: March 2005

Persistent link: https://www.econbiz.de/10002521532

Computing Center Manifolds: A Macroeconomic Example

Haro, Alex; Gomis-Poruqeras, Pere - Society for Computational Economics - SCE - 2004

When crossing the boundary of stability of a given dynamical system only indicates a bifurcation point and the type of the bifurcating solutions. But it doesn't tell us how and how many new solutions bifurcate or disappear in a bifurcation point. To answer this question one has to take into...

Persistent link: https://www.econbiz.de/10005345322

Principal component geodesics for planar shape spaces

Huckemann, Stephan; Hotz, Thomas - In: Journal of Multivariate Analysis 100 (2009) 4, pp. 699-714

for non-Euclidean manifolds as proposed in an earlier paper by Huckemann and Ziezold [S.Â Huckemann, H. Ziezold, Principal … component analysis for Riemannian manifolds with an application to triangular shape spaces, Adv. Appl. Prob. (SGSA) 38 (2) (2006 …

Persistent link: https://www.econbiz.de/10005093738

Fast computation of equispaced Pareto manifolds and Pareto fronts for multiobjective optimization problems

Pereyra, Victor - In: Mathematics and Computers in Simulation (MATCOM) 79 (2009) 6, pp. 1935-1947

In this paper, we consider the problem of generating a well sampled discrete representation of the Pareto manifold or the Pareto front corresponding to the equilibrium points of a multi-objective optimization problem. We show how the introduction of simple additional constraints into a...

Persistent link: https://www.econbiz.de/10010748805

Can chaotic quantum energy levels statistics be characterized using information geometry and inference methods?

Cafaro, C.; Ali, S.A. - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 27, pp. 6876-6894

manifolds and we emphasize the usefulness of our information-geometrodynamical entropy (IGE) as an indicator of chaoticity in a …

Persistent link: https://www.econbiz.de/10010873602

Descent methods for optimization on homogeneous manifolds

Celledoni, Elena; Fiori, Simone - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 4, pp. 1298-1323

In this article we present a framework for line search methods for optimization on smooth homogeneous manifolds, with …

Persistent link: https://www.econbiz.de/10010750172

A time-varying Newton algorithm for adaptive subspace tracking

Baumann, M.; Helmke, U. - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 4, pp. 1324-1345

We propose a general framework for tracking the zeros of a time-varying gradient vector field on Riemannian manifolds …

Persistent link: https://www.econbiz.de/10010748911