activity
20162022
most citedTight Analysis for the 3-Majority Consensus Dynamics

6 citations · 9 across the 4 of their papers we have counts for

collaborators

13 papers

cs.NE2022

Population Diversity Leads to Short Running Times of Lexicase Selection

Thomas Helmuth, Johannes Lengler, William La Cava

In this paper we investigate why the running time of lexicase parent selection is empirically much lower than its worst-case bound of O(N*C). We define a measure of population dive…

cs.NE2020

Large Population Sizes and Crossover Help in Dynamic Environments

Johannes Lengler, Jonas Meier

Dynamic linear functions on the hypercube are functions which assign to each bit a positive weight, but the weights change over time. Throughout optimization, these functions maint…

math.PR2020

Stopping explosion by penalising transmission to hubs in scale-free spatial random graphs

Júlia Komjáthy, John Lapinskas, Johannes Lengler

We study the spread of information in finite and infinite inhomogeneous spatial random graphs. We assume that each edge has a transmission cost that is a product of an i.i.d. rando…

cs.NE2019

Exponential Slowdown for Larger Populations: The -EA on Monotone Functions

Johannes Lengler, Xun Zou

Pseudo-Boolean monotone functions are unimodal functions which are trivial to optimize for some hillclimbers, but are challenging for a surprising number of evolutionary algorithms…

cs.NE2018

The linear hidden subset problem for the (1+1) EA with scheduled and adaptive mutation rates

Hafsteinn Einarsson, Marcelo Matheus Gauy, Johannes Lengler +4

We study unbiased evolutionary algorithms on linear functions with an unknown number of bits with non-zero weight. Static algorithms achieve an optimal runtime of $O(n…

math.PR2018

When Does Hillclimbing Fail on Monotone Functions: An entropy compression argument

Johannes Lengler, Anders Martinsson, Angelika Steger

Hillclimbing is an essential part of any optimization algorithm. An important benchmark for hillclimbing algorithms on pseudo-Boolean functions are (s…