Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
Application of Threshold-Accepting to the Evaluation of the Discrepancy of a Set of Points
SIAM Journal on Numerical Analysis
A generalized discrepancy and quadrature error bound
Mathematics of Computation
Record breaking optimization results using the ruin and recreate principle
Journal of Computational Physics
Time Series Simulation with Quasi Monte Carlo Methods
Computational Economics
Inverse multi-objective robust evolutionary design optimization in the presence of uncertainty
GECCO '05 Proceedings of the 7th annual workshop on Genetic and evolutionary computation
A Predictive Performance Model for Superscalar Processors
Proceedings of the 39th Annual IEEE/ACM International Symposium on Microarchitecture
Computational Statistics & Data Analysis
Optimal aggregation of linear time series models
Computational Statistics & Data Analysis
Optimized U-type designs on flexible regions
Computational Statistics & Data Analysis
Constructing nearly orthogonal latin hypercubes for any nonsaturated run-variable combination
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Competitive comparison of optimal designs of experiments for sampling-based sensitivity analysis
Computers and Structures
Optimizing Latin hypercube designs by particle swarm
Statistics and Computing
Discrete particle swarm optimization for constructing uniform design on irregular regions
Computational Statistics & Data Analysis
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In this paper properties and construction of designs under a centered version of the L2-discrepancy are analyzed. The theoretic expectation and variance of this discrepancy are derived for random designs and Latin hypercube designs. The expectation and variance of Latin hypercube designs are significantly lower than that of random designs. While in dimension one the unique uniform design is also a set of equidistant points, low-discrepancy designs in higher dimension have to be generated by explicit optimization. Optimization is performed using the threshold accepting heuristic which produces low discrepancy designs compared to theoretic expectation and variance.