Computational Anatomy, Shapes and Diffeomorphisms

1. Felipe Arrate, Laurent Younes, and J.T. Ratnanather, "Numerical methods for solving EPDiff equation in Computational Anatomy", Geometry and Statistics of Shape Spaces, Statistical and Applied Mathematical Sciences Institute (SAMSI), North Carolina, July 2007.

Stochastic Non-linear Mechanical Systems, Applied Mathematics

1. F. Arrate, M. R. Hernandez-Garcia, S. F. Masri, R. Ghanem, "Data-Based Stochastic Models of Uncertain Nonlinear Systems", IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty, Nanjing University of Aeronautics and Astronautics, Nanjing, China, XXIV, 394 p., Sept 2007.

2. F. Arrate, S. Masri, "Non Parametric Non-Statistical Identification and Estimation of Stochastic
dynamical systems", March 2006. Submitted.

3. S. Masri, R. Ghanem, F. Arrate, J. Caffrey, "Stochastic Nonparametric Models of Uncertain Hysteretic Oscillators", AIAA Journal, vol. 44, 10, pp. 2319-2330, 2006.

4. S. Masri, R. Ghanem, F. Arrate, J. Caffrey, "Data-Based Probabilistic Models for Predicting the Dynamic Response of Uncertain Nonlinear Systems", International Journal of Non-Linear Mechanics, 2005.

5. Felipe Arrate, "General properties of Multidimensional Hermite Polynomials". University of Southern California, August 2005.

6. Felipe Arrate, Alejandro Sáez, Carlos Rosales, "On the modeling of the complete heat transfer problem (conductive, convective and radiative) that takes place in a copper refining furnace". MS. Thesis work, Federico Santa Maria Technical University, Chile, January 2001.

7. F. Arrate, F., August, 1997, "Student participation and University" - as part of a study on allocation of government resources in advanced education, report presented to the Chilean Senate as the student's representative (Federico Santa Maria University), Valparaiso, CHILE.

Numerical methods for solving EPDiff equation in Computational Anatomy, Felipe Arrate, Laurent Younes, and J.T. Ratnanather, (Poster Session), SAMSI, North Carolina, July 2007.

Non-Statistical Estimation of Stochastic Dynamical Systems, Applied Mathematics and Statistics Department, Johns Hopkins University, December 2006.

Non-Parametric Non-Statistical Identification and Estimation of Stochastic dynamical systems.
University of Southern California. August 2005.

Identification and prediction of Stochastic Nonlinear Dynamical Systems in a Polynomial Chaos Basis. University of Southern California. August 2004.