no code implementations • 29 Jul 2019 • Per Kristian Lehre, Phan Trung Hai Nguyen
More precisely, we show that the UMDA with a parent population size of $\mu=\Omega(\log n)$ has an expected runtime of $e^{\Omega(\mu)}$ on the DLB problem assuming any selective pressure $\frac{\mu}{\lambda} \geq \frac{14}{1000}$, as opposed to the expected runtime of $\mathcal{O}(n\lambda\log \lambda+n^3)$ for the non-elitist $(\mu,\lambda)~\text{EA}$ with $\mu/\lambda\leq 1/e$.
no code implementations • 19 Apr 2019 • Per Kristian Lehre, Phan Trung Hai Nguyen
We perform a rigorous runtime analysis for the Univariate Marginal Distribution Algorithm on the LeadingOnes function, a well-known benchmark function in the theory community of evolutionary computation with a high correlation between decision variables.
no code implementations • 26 Jul 2018 • Duc-Cuong Dang, Per Kristian Lehre, Phan Trung Hai Nguyen
The facility and generality of our arguments suggest that this is a promising approach to derive bounds on the expected optimisation time of EDAs.
no code implementations • 5 Jun 2018 • Per Kristian Lehre, Phan Trung Hai Nguyen
The Population-Based Incremental Learning (PBIL) algorithm uses a convex combination of the current model and the empirical model to construct the next model, which is then sampled to generate offspring.
no code implementations • 17 Apr 2018 • Phan Trung Hai Nguyen, Dirk Sudholt
Memetic algorithms are popular hybrid search heuristics that integrate local search into the search process of an evolutionary algorithm in order to combine the advantages of rapid exploitation and global optimisation.
no code implementations • 2 Feb 2018 • Per Kristian Lehre, Phan Trung Hai Nguyen
Unlike traditional evolutionary algorithms which produce offspring via genetic operators, Estimation of Distribution Algorithms (EDAs) sample solutions from probabilistic models which are learned from selected individuals.