10,546 research outputs found

    Using SVM to combine global heuristics for the Standard Quadratic Problem

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    The Standard Quadratic Problem (StQP) is an NP-hard problem with many local minimizers (stationary points). In the literature, heuristics based on unconstrained continuous non-convex formulations have been proposed (Bomze & Palagi, 2005; Bomze, Grippo, & Palagi, 2012) but none dominates the other in terms of best value found. Following (Cassioli, DiLorenzo, Locatelli, Schoen, & Sciandrone, 2012) we propose to use Support Vector Machines (SVMs) to define a multistart global strategy which selects the “best” heuristic. We test our method on StQP arising from the Maximum Clique Problem on a graph which is a challenging combinatorial problem. We use as benchmark the clique problems in the DIMACS challenge

    Laura Bocciolini Palagi, La trottola di Dioniso. Motivi dionisiaci nel VII libro dell’Eneide. Bologne, Pàtron, 2007

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    Van haeperen Françoise. Laura Bocciolini Palagi, La trottola di Dioniso. Motivi dionisiaci nel VII libro dell’Eneide. Bologne, Pàtron, 2007. In: L'antiquité classique, Tome 79, 2010. p. 446

    Laura Bocciolini Palagi, La trottola di Dioniso. Motivi dionisiaci nel VII libro dell’Eneide. Bologne, Pàtron, 2007

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    Van haeperen Françoise. Laura Bocciolini Palagi, La trottola di Dioniso. Motivi dionisiaci nel VII libro dell’Eneide. Bologne, Pàtron, 2007. In: L'antiquité classique, Tome 79, 2010. p. 446

    Laura Bocciolini Palagi, Epistolario apocrifo di Seneca e San Paolo, 1985

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    Maraval Pierre. Laura Bocciolini Palagi, Epistolario apocrifo di Seneca e San Paolo, 1985. In: Revue d'histoire et de philosophie religieuses, 66e année n°3, Juillet-septembre 1986. pp. 344-345

    Global optimization issues in deep network regression: an overview

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    The paper presents an overview of global issues in optimizationmethods for training feedforward neural networks (FNN) in a regression setting.We first recall the learning optimization paradigm for FNN and we briefly discuss global scheme for the joint choice of the network topologies and of the network parameters. The main part of the paper focuses on the core subproblem which is the continuous unconstrained (regularized) weights optimization problem with the aim of reviewing global methods specifically arising both in multi layer perceptron/deep networks and in radial basis networks.We review some recent results on the existence of non-global stationary points of the unconstrained nonlinear problem and the role of determining a global solution in a supervised learning paradigm. Local algorithms that are widespread used to solve the continuous unconstrained problems are addressed with focus on possible improvements to exploit the global properties. Hybrid global methods specifically devised for FNN training optimization problems which embed local algorithms are discussed too

    Global Optimization issues in Supervised Learning An overview

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    The paper presents an overview of global issues in optimization methods for Supervised Learning (SL). We focus on Feedforward Neural Networks with the aim of reviewing global methods specifically devised for the class of continuous unconstrained optimization problems arising both in MultiLayer Perceptron/Deep Networks and in Radial Basis Networks. We first recall the learning optimization paradigm for FNN and we briefly discuss global scheme for the joined choice of the network topologies and of the network parameters. The main part of the paper focus on the core subproblem which is the unconstrained regularized weight optimization problem. We review some recent results on the existence of local-non global solutions of the unconstrained nonlinear problem and the role of determining a global solution in a Machine Learning paradigm. Local algorithms that are widespread used to solve the continuous unconstrained problems are addressed with focus on possible improvements to exploit the global properties. Hybrid global methods specifically devised for SL optimization problems which embed local algorithms are discussed at the end
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