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Analysis of Global k-Means, an Incremental Heuristic for Minimum Sum-of-Squares Clustering
The global <i>k</i>-means heuristic is a recently proposed (Likas et al. 2003) incremental approach for minimum sum-of-squares clustering of a set <i>X</i> ...
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In this paper, we examine the sensitivity of trust-region algorithms on the param- eters related to the step acceptance and update of the trust region. We s...
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Recent developments in numerical methods for solving large differentiable nonlinear optimization problems are reviewed. State-of-the-art algorithms for solv...
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We consider the problem of separating two sets of points in an <i>n</i>-dimensional real space with a (hyper)plane that minimizes the sum of <i>L<sub>p</sub...
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In Duan, Gauthier and Simonato (1999), analytical formulas to approximate the price European options in the GARCH framework were developed. These formulas a...
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One critical difficulty in implementing Merton’s (1974) credit risk model is that the underlying asset value cannot be directly observed. The model requires...
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We develop a Markov chain pricing method capable of handling several state vari- ables. The Markov chain construction of Duan and Simonato (2000) is modifie...
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This paper deals with the class of continuous-time singular linear systems with time delay in the state vector. Delay-independent and delay dependent suffic...
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This paper deals with a class of continuous-time singular linear systems with Markovian jump parameters and time delays. Sufficient conditions on stochastic...
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In this paper we develop a Variable neighborhood search (VNS) heuristic for solving Mixed-Integer Programs (MIP’s). It uses CPLEX, the general-purpose MIP s...
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This paper deals with the topological design of a next generation optical network that provides fully meshed connectivity between electronic edge nodes. Suc...
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We characterize in this paper the credibility of incentive equilibrium strategies for the class of linear-state differential games. We derive a general cond...
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Portmanteau test statistics are useful for checking the adequacy of many time series models. Here we generalize the omnibus procedure proposed by Duchesne a...
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An upper bound is given on the variance of degrees of graphs with <i>n</i> vertices, <i>m</i> edges and maximum degree Δ. Particular cases of chemical...
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The fractional aircraft market is the fastest growing segment of the business aircraft industry. A fractional aircraft operation is complex - essentially an...
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This paper presents a new heuristic to solve efficiently the problem of dimension- ing large-size hybrid optoelectronic networks with grooming. It is modele...
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<p> This paper introduces the Mesh Adaptive Direct Search (MADS) class of algorithms for nonlinear optimization. MADS extends the Generalized Pattern Searc...
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Using a two-player differential game approach, this paper deals with the issue of tropical deforestation. The assumption is that developing forestry countri...
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We consider a differential game model for a marketing channel formed by one manufacturer and one retailer. The latter sells the manufacturer's product and ma...
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The Atlantic thermohaline circulation (THC) is an important component in the climate system because it strongly influences conditions in the North Atlantic ...
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