Search results for " optimization."

showing 10 items of 2333 documents

Liquidity-adjusted value-at-risk optimization of a multi-asset portfolio using a vine copula approach

2019

Abstract This paper develops a novel approach to assess liquidity-adjusted Value-at-Risk (LVaR) optimization of multi-asset portfolios based on vine copulas and LVaR models. This framework is applied to stock markets of the G-7 countries, gold, commodities and Bitcoin. The results show that our approach is superior to the classical mean–variance Markowitz portfolio technique in terms of the optimal portfolio selection under a number of realistic operational and budget constraints. We find that both Bitcoin and gold improves the risk-return performance of the G-7 stock portfolio. However, Bitcoin (gold) performs better under a scenario of only long-positions (when short-selling is allowed).

Statistics and ProbabilityCondensed Matter Physics01 natural sciences010305 fluids & plasmasMarket liquidityVine copulaStock portfolio0103 physical sciencesEconometricsEconomicsPortfolioPortfolio optimization010306 general physicsBudget constraintValue at riskStock (geology)Physica A: Statistical Mechanics and its Applications
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A multi-local optimization algorithm

1998

The development of efficient algorithms that provide all the local minima of a function is crucial to solve certain subproblems in many optimization methods. A “multi-local” optimization procedure using inexact line searches is presented, and numerical experiments are also reported. An application of the method to a semi-infinite programming procedure is included.

Statistics and ProbabilityContinuous optimizationMathematical optimizationInformation Systems and ManagementMeta-optimizationManagement Science and Operations ResearchSemi-infinite programmingMaxima and minimaVector optimizationModeling and SimulationDiscrete Mathematics and CombinatoricsRandom optimizationMulti-swarm optimizationAlgorithmMetaheuristicMathematicsTop
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The rank of random regular digraphs of constant degree

2018

Abstract Let d be a (large) integer. Given n ≥ 2 d , let A n be the adjacency matrix of a random directed d -regular graph on n vertices, with the uniform distribution. We show that the rank of A n is at least n − 1 with probability going to one as n grows to infinity. The proof combines the well known method of simple switchings and a recent result of the authors on delocalization of eigenvectors of A n .

Statistics and ProbabilityControl and OptimizationUniform distribution (continuous)General Mathematics0102 computer and information sciencesrandom matrices01 natural sciencesCombinatoricsIntegerFOS: Mathematics60B20 15B52 46B06 05C80Rank (graph theory)Adjacency matrix0101 mathematicsEigenvalues and eigenvectorsMathematicsNumerical AnalysisAlgebra and Number TheoryDegree (graph theory)Applied MathematicsProbability (math.PR)010102 general mathematicsrandom regular graphssingularity probabilityrank010201 computation theory & mathematicsRegular graphRandom matrixMathematics - ProbabilityJournal of Complexity
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The Serial Property and Restricted Balanced Contributions in discrete cost sharing problems

2006

We show that the Serial Poperty and Restricted Balanced Contributions characterize the subsidy-free serial cost sharing method (Moulin (1995)) in discrete cost allocation problems.

Statistics and ProbabilityCost allocationMathematical optimizationInformation Systems and ManagementProperty (philosophy)Computer scienceModeling and SimulationMoulinDiscrete Mathematics and CombinatoricsCost sharingManagement Science and Operations ResearchShapley valueTOP
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Hores: A timetabling system for Spanish secondary schools

1995

Constructing a timetable is a difficult problem faced by every school every year. A feasible solution has to satisfy many different requirements and constraints. A good solution has to provide compact timetables for classes and teachers. In order to help the schools, we have developed HORES, a robust and flexible timetabling system suited to the needs of Spanish secondary schools. HORES runs on a PC and is fast and user-friendly. It may handle virtually every condition required by the schools and obtains good quality solutions in very short computing times. It also allows the user to modify interactively the solutions. HORES is now being used by schools with satisfactory results.

Statistics and ProbabilityDifficult problemMathematical optimizationInformation Systems and ManagementOperations researchComputer sciencemedia_common.quotation_subjectManagement Science and Operations ResearchTabu searchOrder (business)Modeling and SimulationDiscrete Mathematics and CombinatoricsQuality (business)media_commonTop
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Stochastic Learning for SAT- Encoded Graph Coloring Problems

2010

The graph coloring problem (GCP) is a widely studied combinatorial optimization problem due to its numerous applications in many areas, including time tabling, frequency assignment, and register allocation. The need for more efficient algorithms has led to the development of several GC solvers. In this paper, the authors introduce a team of Finite Learning Automata, combined with the random walk algorithm, using Boolean satisfiability encoding for the GCP. The authors present an experimental analysis of the new algorithm’s performance compared to the random walk technique, using a benchmark set containing SAT-encoding graph coloring test sets.

Statistics and ProbabilityDiscrete mathematicsControl and OptimizationTheoretical computer scienceComparability graphComputer Science ApplicationsGreedy coloringComputational MathematicsEdge coloringComputational Theory and MathematicsModeling and SimulationGraph (abstract data type)Decision Sciences (miscellaneous)Graph coloringFractional coloringGraph factorizationList coloringMathematicsInternational Journal of Applied Metaheuristic Computing
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Analyzing Temperature Effects on Mortality Within theREnvironment: The Constrained Segmented Distributed Lag Parameterization

2010

Here we present and discuss the R package modTempEff including a set of functions aimed at modelling temperature effects on mortality with time series data. The functions fit a particular log linear model which allows to capture the two main features of mortality- temperature relationships: nonlinearity and distributed lag effect. Penalized splines and segmented regression constitute the core of the modelling framework. We briefly review the model and illustrate the functions throughout a simulated dataset.

Statistics and ProbabilityDistributed lagtemperature effects segmented relationship break point P-splines RMathematical optimizationComputer scienceP-splinesRsegmented relationshipSet (abstract data type)R packageNonlinear systemBreak pointApplied mathematicsLog-linear modelbreak pointStatistics Probability and UncertaintySegmented regressionTime seriesSettore SECS-S/01 - Statisticatemperature effectslcsh:Statisticslcsh:HA1-4737SoftwareJournal of Statistical Software
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Weighted samples, kernel density estimators and convergence

2003

This note extends the standard kernel density estimator to the case of weighted samples in several ways. In the first place I consider the obvious extension by substituting the simple sum in the definition of the estimator by a weighted sum, but I also consider other alternatives of introducing weights, based on adaptive kernel density estimators, and consider the weights as indicators of the informational content of the observations and in this sense as signals of the local density of the data. All these ideas are shown using the Penn World Table in the context of the macroeconomic convergence issue.

Statistics and ProbabilityEconomics and EconometricsMathematical optimizationKernel density estimationEstimatorMultivariate kernel density estimationKernel principal component analysisMathematics (miscellaneous)Penn World TableKernel embedding of distributionsVariable kernel density estimationKernel (statistics)Applied mathematicsSocial Sciences (miscellaneous)MathematicsEmpirical Economics
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Balanced Asymmetrical Nearly Orthogonal Designs for first and second order effect estimation

2006

Abstract A method for constructing asymmetrical (mixed-level) designs, satisfying the balancing and interaction estimability requirements with a number of runs as small as possible, is proposed in this paper. The method, based on a heuristic procedure, uses a new optimality criterion formulated here. The proposed method demonstrates efficiency in terms of searching time and optimality of the attained designs. A complete collection of such asymmetrical designs with two- and three-level factors is available. A technological application is also presented.

Statistics and ProbabilityEstimationMathematical optimizationOptimality criterionSettore SECS-S/02 - Statistica Per La Ricerca Sperimentale E TecnologicaOrder effectStatistics Probability and UncertaintyHeuristic procedureBalancing asymmetrical (mixed-level) designs nearly orthogonal arrays optimality two- and three-level designsMathematicsJournal of Applied Statistics
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Establishing some order amongst exact approximations of MCMCs

2016

Exact approximations of Markov chain Monte Carlo (MCMC) algorithms are a general emerging class of sampling algorithms. One of the main ideas behind exact approximations consists of replacing intractable quantities required to run standard MCMC algorithms, such as the target probability density in a Metropolis-Hastings algorithm, with estimators. Perhaps surprisingly, such approximations lead to powerful algorithms which are exact in the sense that they are guaranteed to have correct limiting distributions. In this paper we discover a general framework which allows one to compare, or order, performance measures of two implementations of such algorithms. In particular, we establish an order …

Statistics and ProbabilityFOS: Computer and information sciences65C05Mathematical optimizationMonotonic function01 natural sciencesStatistics - ComputationPseudo-marginal algorithm010104 statistics & probabilitysymbols.namesake60J05martingale couplingalgoritmitFOS: MathematicsApplied mathematics60J220101 mathematicsComputation (stat.CO)Mathematics65C40 (Primary) 60J05 65C05 (Secondary)Martingale couplingMarkov chainmatematiikkapseudo-marginal algorithm010102 general mathematicsProbability (math.PR)EstimatorMarkov chain Monte Carloconvex orderDelta methodMarkov chain Monte CarloOrder conditionsymbolsStatistics Probability and UncertaintyAsymptotic variance60E15Martingale (probability theory)Convex orderMathematics - ProbabilityGibbs sampling
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