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Department of mathematics

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Conference - Michel De Lara - A Suitable Conjugacy for the l0 Pseudonorm with Application to Exact Sparse Optimization

Abstract: We display a suitable conjugacy for which we show that the l0 pseudonorm is "convex" in the sense of generalized convexity. Then, we provide a systematic way to design norms and lower bound convex minimization programs for generalized sparse optimization

Date: monday, January 28th, 1315:h.

Place: Seminario de Matemáticas

Conference - Ignacio E. Grossmann - Global Optimization of Nonconvex Nonlinear Generalized Disjunctive Programs

Abstract: In this seminar, we first describe the theory of reformulations and numerical solution of generalized disjunctive programming (GDP) problems, which are expressed in terms of Boolean and continuous variables, and involve algebraic constraints, disjunctions and propositional logic statements. We propose a framework to generate alternative MINLP formulations for convex nonlinear GDPs that lead to stronger relaxations.

Next, by using the above theory, we address the global optimization of nonconvex nonlinear generalized disjunctive programming (GDP) problems. In order to predict tighter lower bounds to the global optimum we consider a sequence of basic steps for the convex relaxation to strengthen the bounds and finally we describe some solution methods.


Date: Wednesday, January 23rd, 13:00h.

Lugar:  Seminario de Matemáticas.

Department of Mathematics

Universidad de Alicante
Carretera de San Vicente del Raspeig s/n
03690 San Vicente del Raspeig
Alicante (Spain)

Tel: (+34) 96 590 3531

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