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Archivo para septiembre, 2017

Some Recent Advances in Polynomial Optimization


SEMINARIO DEL DOCTORADO DE ESTADÍSTICA, OPTIMIZACIÓN Y MATEMÁTICA APLICADA. CURSO 2016-2017

Título: Some Recent Advances in Polynomial Optimization

Ponente: Dr. Guoyin Li (University of New South Wales, Australia)

Fecha: Martes 19 de septiembre de 2017 a las 13:00 horas

Lugar: Sala de seminarios, Edificio Torretamarit, Universidad Miguel Hernández (Campus de Elche)

Resumen:

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.

 


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Martes, 12 de septiembre de 2017 Sin comentarios

Convolutional codes with Network Coding


SEMINARIO DEL DOCTORADO DE ESTADÍSTICA, OPTIMIZACIÓN Y MATEMÁTICA APLICADA. CURSO 2016-2017

Título: Convolutional codes with Network Coding

Ponente: Diego Napp Aveli (Universidad de Aveiro. Portugal)

Fecha: Jueves 14 de septiembre de 2017 a las 12:30 horas

Lugar: Sala de seminarios, Edificio Torretamarit, Universidad Miguel Hernández (Campus de Elche)

Resumen:

Random Linear Network Coding (RLNC), as introduced in 2008, provides the mathematical foundation for multicast communications and, in particular, for networks with unknown or changing topology. In this scenario, networks operate with packets. If one considers a packet as a row of a matrix with entries in a finite field, then the linear combinations performed in the nodes are row operations on this matrix. For perfect communications, the row space of the transmitted matrix remains unchanged. RLNC has since then opened a major research area in communications with widespread applications to wireless networks, internet or cloud computing. Most of the large body of literature in this area is concerned with the so- called one-shot network coding, meaning that the unknown structure of the network is used once to disseminate the information. In contrast, one can use the network more than once to spread redundancy over different shots. In this talk, we propose rank metric convolutional codes for this purpose and present the clear advantages of this novel approach. 


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Viernes, 8 de septiembre de 2017 Sin comentarios

DEFENSA DE TESIS DOCTORAL: Análisis de catálogos robustos desde la perspectiva de la minería de reglas de asociación


DEFENSA DE TESIS DOCTORAL

Título: Análisis de catálogos robustos desde la perspectiva de la minería de reglas de asociación

Autor: Enrique Lazcorreta Puigmartí

Directores: Dr. Federico Botella Beviá (Universidad Migue Hernández de Elche) y Dr. Antonio Fernández Caballero (Universidad de Castilla-La Mancha)

Fecha: Viernes 8 de septiembre de 2017 a las 12:00 horas

Lugar: Sala de Seminarios von Humboldt, Edificio Torregaitán. Campus de Elche de la Universidad Miguel Hernández de Elche


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Miércoles, 6 de septiembre de 2017 Sin comentarios