Search Results for author: Timo Kötzing

Found 25 papers, 2 papers with code

Run Time Bounds for Integer-Valued OneMax Functions

no code implementations21 Jul 2023 Jonathan Gadea Harder, Timo Kötzing, Xiaoyue Li, Aishwarya Radhakrishnan

Furthermore, we show that RLS with step size adaptation achieves an optimization time of $\Theta(n \cdot \log(|a|_1))$.

Analysis of the (1+1) EA on LeadingOnes with Constraints

no code implementations29 May 2023 Tobias Friedrich, Timo Kötzing, Aneta Neumann, Frank Neumann, Aishwarya Radhakrishnan

Understanding how evolutionary algorithms perform on constrained problems has gained increasing attention in recent years.

Evolutionary Algorithms

ELEA -- Build your own Evolutionary Algorithm in your Browser

1 code implementation13 Feb 2023 Markus Wagner, Erik Kohlros, Gerome Quantmeyer, Timo Kötzing

We provide an open source framework to experiment with evolutionary algorithms which we call "Experimenting and Learning toolkit for Evolutionary Algorithms (ELEA)".

Evolutionary Algorithms

Theoretical Study of Optimizing Rugged Landscapes with the cGA

no code implementations24 Nov 2022 Tobias Friedrich, Timo Kötzing, Frank Neumann, Aishwarya Radhakrishnan

Estimation of distribution algorithms (EDAs) provide a distribution - based approach for optimization which adapts its probability distribution during the run of the algorithm.

Lower Bounds from Fitness Levels Made Easy

no code implementations7 Apr 2021 Benjamin Doerr, Timo Kötzing

One of the first and easy to use techniques for proving run time bounds for evolutionary algorithms is the so-called method of fitness levels by Wegener.

Evolutionary Algorithms

Learning Languages with Decidable Hypotheses

no code implementations15 Oct 2020 Julian Berger, Maximilian Böther, Vanja Doskoč, Jonathan Gadea Harder, Nicolas Klodt, Timo Kötzing, Winfried Lötzsch, Jannik Peters, Leon Schiller, Lars Seifert, Armin Wells, Simon Wietheger

This so-called $W$-index allows for naming arbitrary computably enumerable languages, with the drawback that even the membership problem is undecidable.

Mapping Monotonic Restrictions in Inductive Inference

no code implementations15 Oct 2020 Vanja Doskoč, Timo Kötzing

In particular, we show that explanatory monotone learners, although known to be strictly stronger, do (almost) preserve the pairwise relation as seen in strongly monotone learning.

Maps for Learning Indexable Classes

no code implementations15 Oct 2020 Julian Berger, Maximilian Böther, Vanja Doskoč, Jonathan Gadea Harder, Nicolas Klodt, Timo Kötzing, Winfried Lötzsch, Jannik Peters, Leon Schiller, Lars Seifert, Armin Wells, Simon Wietheger

We study learning of indexed families from positive data where a learner can freely choose a hypothesis space (with uniformly decidable membership) comprising at least the languages to be learned.

Normal Forms for (Semantically) Witness-Based Learners in Inductive Inference

no code implementations15 Oct 2020 Vanja Doskoč, Timo Kötzing

Such results are key to understanding the, yet undiscovered, mutual relation between various important learning paradigms when learning behaviourally correctly.

Learning Languages in the Limit from Positive Information with Finitely Many Memory Changes

no code implementations9 Oct 2020 Timo Kötzing, Karen Seidel

We investigate learning collections of languages from texts by an inductive inference machine with access to the current datum and a bounded memory in form of states.

LEMMA

Learning Half-Spaces and other Concept Classes in the Limit with Iterative Learners

no code implementations7 Oct 2020 Ardalan Khazraei, Timo Kötzing, Karen Seidel

In order to model an efficient learning paradigm, iterative learning algorithms access data one by one, updating the current hypothesis without regress to past data.

Improved Fixed-Budget Results via Drift Analysis

no code implementations12 Jun 2020 Timo Kötzing, Carsten Witt

Fixed-budget theory is concerned with computing or bounding the fitness value achievable by randomized search heuristics within a given budget of fitness function evaluations.

Multiplicative Up-Drift

no code implementations11 Apr 2019 Benjamin Doerr, Timo Kötzing

Drift analysis aims at translating the expected progress of an evolutionary algorithm (or more generally, a random process) into a probabilistic guarantee on its run time (hitting time).

Evolutionary Algorithms

Bounding Bloat in Genetic Programming

no code implementations6 Jun 2018 Benjamin Doerr, Timo Kötzing, J. A. Gregor Lagodzinski, Johannes Lengler

While many optimization problems work with a fixed number of decision variables and thus a fixed-length representation of possible solutions, genetic programming (GP) works on variable-length representations.

Ring Migration Topology Helps Bypassing Local Optima

no code implementations4 Jun 2018 Clemens Frahnow, Timo Kötzing

We show that, while the (1+1) EA gets stuck in a bad local optimum and incurs a run time of $\Theta(n^{2r})$ fitness evaluations on FORK, island models with a complete topology can achieve a run time of $\Theta(n^{1. 5r})$ by making use of rare migrations in order to explore the search space more effectively.

Evolutionary Algorithms

Destructiveness of Lexicographic Parsimony Pressure and Alleviation by a Concatenation Crossover in Genetic Programming

2 code implementations25 May 2018 Timo Kötzing, J. A. Gregor Lagodzinski, Johannes Lengler, Anna Melnichenko

We show that the Concatenation Crossover GP can efficiently optimize these test functions, while local search cannot be efficient for all three variants independent of employing bloat control.

First-Hitting Times Under Additive Drift

no code implementations22 May 2018 Timo Kötzing, Martin S. Krejca

As corollaries, the same is true for our upper bounds in the case of variable and multiplicative drift.

Learning from Informants: Relations between Learning Success Criteria

no code implementations31 Jan 2018 Martin Aschenbach, Timo Kötzing, Karen Seidel

Learning from positive and negative information, so-called \emph{informants}, being one of the models for human and machine learning introduced by E.~M.~Gold, is investigated.

A Generic Bet-and-run Strategy for Speeding Up Traveling Salesperson and Minimum Vertex Cover

no code implementations13 Sep 2016 Tobias Friedrich, Timo Kötzing, Markus Wagner

A common strategy for improving optimization algorithms is to restart the algorithm when it is believed to be trapped in an inferior part of the search space.

Combinatorial Optimization

Escaping Local Optima using Crossover with Emergent or Reinforced Diversity

no code implementations10 Aug 2016 Duc-Cuong Dang, Tobias Friedrich, Timo Kötzing, Martin S. Krejca, Per Kristian Lehre, Pietro S. Oliveto, Dirk Sudholt, Andrew M. Sutton

This proves a sizeable advantage of all variants of the ($\mu$+1) GA compared to (1+1) EA, which requires time $\Theta(n^k)$.

Solving Problems with Unknown Solution Length at (Almost) No Extra Cost

no code implementations19 Jun 2015 Benjamin Doerr, Carola Doerr, Timo Kötzing

For their setting, in which the solution length is sampled from a geometric distribution, we provide mutation rates that yield an expected optimization time that is of the same order as that of the (1+1) EA knowing the solution length.

The Benefit of Sex in Noisy Evolutionary Search

no code implementations10 Feb 2015 Tobias Friedrich, Timo Kötzing, Martin Krejca, Andrew M. Sutton

For this, we model sexual recombination with a simple estimation of distribution algorithm called the Compact Genetic Algorithm (cGA), which we compare with the classical $\mu+1$ EA.

A Map of Update Constraints in Inductive Inference

no code implementations29 Apr 2014 Timo Kötzing, Raphaela Palenta

We investigate how different learning restrictions reduce learning power and how the different restrictions relate to one another.

Unbiased Black-Box Complexities of Jump Functions

no code implementations30 Mar 2014 Benjamin Doerr, Carola Doerr, Timo Kötzing

We analyze the unbiased black-box complexity of jump functions with small, medium, and large sizes of the fitness plateau surrounding the optimal solution.

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