[BOOK][B] Simplicial partitions in global optimization

R Paulavičius, J Žilinskas, R Paulavičius, J Žilinskas - 2014 - Springer
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[BOOK][B] Non-convex multi-objective optimization

Optimization is a very broad field of research with a wide spectrum of important applications.
Until the 1950s, optimization was understood as a single-objective optimization, ie, as the …

DIRECTGO: A New DIRECT-Type MATLAB Toolbox for Derivative-Free Global Optimization

L Stripinis, R Paulavičius - ACM Transactions on Mathematical Software, 2022 - dl.acm.org
In this work, we introduce DIRECTGO, a new MATLAB toolbox for derivative-free global
optimization. DIRECTGO collects various deterministic derivative-free DIRECT-type …

An empirical study of various candidate selection and partitioning techniques in the DIRECT framework

L Stripinis, R Paulavičius - Journal of Global Optimization, 2024 - Springer
Over the last three decades, many attempts have been made to improve the DIRECT
(DIviding RECTangles) algorithm's efficiency. Various novel ideas and extensions have …

An extensive numerical benchmark study of deterministic vs. stochastic derivative-free global optimization algorithms

L Stripinis, R Paulavičius - arxiv preprint arxiv:2209.05759, 2022 - arxiv.org
Research in derivative-free global optimization is under active development, and many
solution techniques are available today. Therefore, the experimental comparison of previous …

Parallel branch and bound for global optimization with combination of lipschitz bounds

R Paulavičius, J Žilinskas, A Grothey - Optimization methods and …, 2011 - Taylor & Francis
The solution of multidimensional Lipschitz optimization problem requires a lot of computing
time and memory resources. Parallel OpenMP and MPI versions of branch and bound …

Investigation of selection strategies in branch and bound algorithm with simplicial partitions and combination of Lipschitz bounds

R Paulavičius, J Žilinskas, A Grothey - Optimization Letters, 2010 - Springer
Speed and memory requirements of branch and bound algorithms depend on the selection
strategy of which candidate node to process next. The goal of this paper is to experimentally …

Girls' interest in STEM

HD Burns, K Lesseig, N Staus - 2016 IEEE Frontiers in …, 2016 - ieeexplore.ieee.org
This is a work-in-progress. The dramatic decline in youth interest in science, technology,
engineering and mathematics (STEM) during adolescence has been a phenomenon of …

Interval arithmetic based optimization in nonlinear regression

A Žilinskas, J Žilinskas - Informatica, 2010 - content.iospress.com
Interval Arithmetic Based Optimization in Nonlinear Regression Page 1 INFORMATICA, 2010,
Vol. 21, No. 1, 149–158 149 © 2010 Institute of Mathematics and Informatics, Vilnius Interval …

Global optimization using the branch‐and‐bound algorithm with a combination of Lipschitz bounds over simplices

R Paulavičius, J Žilinskas - Technological and Economic …, 2009 - Taylor & Francis
Many problems in economy may be formulated as global optimization problems. Most
numerically promising methods for solution of multivariate unconstrained Lipschitz …