Conferencia del Dr. Guoyin Li

19 septiembre, 2017
1:00 pm

 

Title: Some Recent Advances in Polynomial Optimization

Speaker: Dr. Guoyin Li, Department of Applied Mathematics, University of New South Wales, Australia

Date: 19/09/2017, 13:00h

Location: Sala de Seminarios (Edificio Torretamarit)

Abstract:

Optimization problems involving polynomial functions are of great importance in applied mathematics and engineering, and they are intrinsically hard problems. They arise in important engineering applications such as the sensor network localization problem, and provide a rich and fruitful interaction between algebraic-geometric concepts and modern convex programming. In this talk, we will discuss some recent progress of the polynomial (semi-algebraic) optimization with a focus on the intrinsic link between the polynomial structure and the hidden convexity structure.

The talk will be divided into two parts. In the first part, we will describe the key results in this new area, highlighting the geometric and conceptual aspects as well as recent work on global optimality theory, algorithms and applications. In the second part, we will explain how the semi-algebraic structure helps us to analyze some important and powerful algorithms in optimization such as alternating projection algorithm, proximal point algorithm and Douglas-Rachford algorithm. Applications to tensor computations and sparse optimization problems arise in compress sensing will be discussed (if time is permitted).

These are based on joint work with J.M Borwein, V. Jeyakumar, J.B. Lasserre, B.S. Mordukhovich, T.S. Pham, L.Q. Qi and T.K. Pong.

J.T. Pastor, J. Aparicio, J. Alcaraz, F. Vidal, D. Pastor. “An enhanced BAM for unbounded or partially bounded CRS additive models”. Omega, 56, 16-24 (2015).

El Instituto Universitario de Investigación CIO se ha adherido al manifiesto por la ciencia. El próximo 22 de abril, se celebrarán en todo el mundo diversas acciones para reclamar la atención de la sociedad y de la clase política sobre la importancia de la ciencia en el mundo actual y algunos de los peligros que la acechan. http://www.cosce.org/manifiestoporlaciencia/

Lectura de tesis Jose Luis Sainz-Pardo

Título tesis: Problemas de localización de instalaciones no fiables
Doctorando: José Luis Sainz-Pardo Auñón
Director/es: Mercedes Landete Ruiz, Juan Francisco Monge Ivars

Tribunal:
Presidente: Justo Puerto Albandoz
Secretaria: Natividad Llorca Pascual
Vocales:
Alfredo Marín Pérez
Enrique Benavent López
Celeste Pizarro Romero

Fecha de lectura: 26 de Julio de 2016
Lugar de lectura: Sala de Seminarios Von Humboldt. Universidad Miguel Hernández de Elche.
Hora de lectura: 11:30 horas