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A First Runtime Analysis of the NSGA-II on a Multimodal Problem

A First Runtime Analysis of the NSGA-II on a Multimodal Problem

28 April 2022
Benjamin Doerr
Zhongdi Qu
ArXivPDFHTML

Papers citing "A First Runtime Analysis of the NSGA-II on a Multimodal Problem"

34 / 34 papers shown
Title
Scalable Speed-ups for the SMS-EMOA from a Simple Aging Strategy
Scalable Speed-ups for the SMS-EMOA from a Simple Aging Strategy
Mingfeng Li
Weijie Zheng
Benjamin Doerr
27
0
0
03 May 2025
Tight Runtime Guarantees From Understanding the Population Dynamics of the GSEMO Multi-Objective Evolutionary Algorithm
Tight Runtime Guarantees From Understanding the Population Dynamics of the GSEMO Multi-Objective Evolutionary Algorithm
Benjamin Doerr
Martin S. Krejca
Andre Opris
29
0
0
02 May 2025
A First Runtime Analysis of NSGA-III on a Many-Objective Multimodal Problem: Provable Exponential Speedup via Stochastic Population Update
A First Runtime Analysis of NSGA-III on a Many-Objective Multimodal Problem: Provable Exponential Speedup via Stochastic Population Update
Andre Opris
26
0
0
02 May 2025
The First Theoretical Approximation Guarantees for the Non-Dominated Sorting Genetic Algorithm III (NSGA-III)
The First Theoretical Approximation Guarantees for the Non-Dominated Sorting Genetic Algorithm III (NSGA-III)
Renzhong Deng
Weijie Zheng
Benjamin Doerr
33
0
0
30 Apr 2025
Multi-objective Pseudo Boolean Functions in Runtime Analysis: A Review
Multi-objective Pseudo Boolean Functions in Runtime Analysis: A Review
Zimin Liang
Mingxing Li
34
0
0
24 Mar 2025
Runtime Analysis for Multi-Objective Evolutionary Algorithms in
  Unbounded Integer Spaces
Runtime Analysis for Multi-Objective Evolutionary Algorithms in Unbounded Integer Spaces
Benjamin Doerr
Martin S. Krejca
Günter Rudolph
87
1
0
16 Dec 2024
Maintaining Diversity Provably Helps in Evolutionary Multimodal
  Optimization
Maintaining Diversity Provably Helps in Evolutionary Multimodal Optimization
Shengjie Ren
Zhijia Qiu
Chao Bian
Miqing Li
Chao Qian
41
5
0
04 Jun 2024
An Archive Can Bring Provable Speed-ups in Multi-Objective Evolutionary
  Algorithms
An Archive Can Bring Provable Speed-ups in Multi-Objective Evolutionary Algorithms
Chao Bian
Shengjie Ren
Miqing Li
Chao Qian
35
4
0
04 Jun 2024
Illustrating the Efficiency of Popular Evolutionary Multi-Objective
  Algorithms Using Runtime Analysis
Illustrating the Efficiency of Popular Evolutionary Multi-Objective Algorithms Using Runtime Analysis
D. Dang
Andre Opris
Dirk Sudholt
25
2
0
22 May 2024
Proven Runtime Guarantees for How the MOEA/D Computes the Pareto Front
  From the Subproblem Solutions
Proven Runtime Guarantees for How the MOEA/D Computes the Pareto Front From the Subproblem Solutions
Benjamin Doerr
Martin S. Krejca
Noé Weeks
37
2
0
02 May 2024
Runtime Analyses of NSGA-III on Many-Objective Problems
Runtime Analyses of NSGA-III on Many-Objective Problems
Andre Opris
D. Dang
Frank Neumann
Dirk Sudholt
24
17
0
17 Apr 2024
Superior Genetic Algorithms for the Target Set Selection Problem Based
  on Power-Law Parameter Choices and Simple Greedy Heuristics
Superior Genetic Algorithms for the Target Set Selection Problem Based on Power-Law Parameter Choices and Simple Greedy Heuristics
Benjamin Doerr
Martin S. Krejca
Nguyen Vu
19
1
0
05 Apr 2024
A Flexible Evolutionary Algorithm With Dynamic Mutation Rate Archive
A Flexible Evolutionary Algorithm With Dynamic Mutation Rate Archive
Martin S. Krejca
Carsten Witt
27
1
0
05 Apr 2024
Runtime Analysis of the SMS-EMOA for Many-Objective Optimization
Runtime Analysis of the SMS-EMOA for Many-Objective Optimization
Weijie Zheng
Benjamin Doerr
30
18
0
16 Dec 2023
Migrant Resettlement by Evolutionary Multi-objective Optimization
Migrant Resettlement by Evolutionary Multi-objective Optimization
Danqin Liu
Yu-Ran Gu
Chao Qian
Xin Mu
Ke Tang
42
0
0
13 Oct 2023
Towards Running Time Analysis of Interactive Multi-objective
  Evolutionary Algorithms
Towards Running Time Analysis of Interactive Multi-objective Evolutionary Algorithms
Tianhao Lu
Chao Bian
Chao Qian
31
4
0
12 Oct 2023
Analysing the Robustness of NSGA-II under Noise
Analysing the Robustness of NSGA-II under Noise
D. Dang
Andre Opris
B. Salehi
Dirk Sudholt
28
23
0
07 Jun 2023
Rigorous Runtime Analysis of MOEA/D for Solving Multi-Objective Minimum
  Weight Base Problems
Rigorous Runtime Analysis of MOEA/D for Solving Multi-Objective Minimum Weight Base Problems
A. Do
Aneta Neumann
Frank Neumann
Andrew M. Sutton
15
11
0
06 Jun 2023
Stochastic Population Update Can Provably Be Helpful in Multi-Objective Evolutionary Algorithms
Stochastic Population Update Can Provably Be Helpful in Multi-Objective Evolutionary Algorithms
Chao Bian
Yawen Zhou
Mingxing Li
Chao Qian
13
33
0
05 Jun 2023
The First Proven Performance Guarantees for the Non-Dominated Sorting
  Genetic Algorithm II (NSGA-II) on a Combinatorial Optimization Problem
The First Proven Performance Guarantees for the Non-Dominated Sorting Genetic Algorithm II (NSGA-II) on a Combinatorial Optimization Problem
Sacha Cerf
Benjamin Doerr
Benjamin Hebras
Yakob Kahane
Simon Wietheger
40
32
0
22 May 2023
How Well Does the Metropolis Algorithm Cope With Local Optima?
How Well Does the Metropolis Algorithm Cope With Local Optima?
Benjamin Doerr
Taha El Ghazi El Houssaini
A. Rajabi
Carsten Wit
21
6
0
21 Apr 2023
How the Move Acceptance Hyper-Heuristic Copes With Local Optima: Drastic
  Differences Between Jumps and Cliffs
How the Move Acceptance Hyper-Heuristic Copes With Local Optima: Drastic Differences Between Jumps and Cliffs
Benjamin Doerr
Arthur Dremaux
J. Lutzeyer
Aurélien Stumpf
20
5
0
20 Apr 2023
Tight Runtime Bounds for Static Unary Unbiased Evolutionary Algorithms
  on Linear Functions
Tight Runtime Bounds for Static Unary Unbiased Evolutionary Algorithms on Linear Functions
Carola Doerr
D. Janett
Johannes Lengler
30
1
0
23 Feb 2023
Crossover Can Guarantee Exponential Speed-Ups in Evolutionary
  Multi-Objective Optimisation
Crossover Can Guarantee Exponential Speed-Ups in Evolutionary Multi-Objective Optimisation
D. Dang
Andre Opris
Dirk Sudholt
41
15
0
31 Jan 2023
Runtime Analysis for the NSGA-II: Proving, Quantifying, and Explaining
  the Inefficiency For Many Objectives
Runtime Analysis for the NSGA-II: Proving, Quantifying, and Explaining the Inefficiency For Many Objectives
Weijie Zheng
Benjamin Doerr
22
27
0
23 Nov 2022
A Mathematical Runtime Analysis of the Non-dominated Sorting Genetic
  Algorithm III (NSGA-III)
A Mathematical Runtime Analysis of the Non-dominated Sorting Genetic Algorithm III (NSGA-III)
Simon Wietheger
Benjamin Doerr
28
35
0
15 Nov 2022
The $(1+(λ,λ))$ Global SEMO Algorithm
The (1+(λ,λ))(1+(λ,λ))(1+(λ,λ)) Global SEMO Algorithm
Benjamin Doerr
O. Hadri
A. Pinard
32
8
0
07 Oct 2022
From Understanding the Population Dynamics of the NSGA-II to the First
  Proven Lower Bounds
From Understanding the Population Dynamics of the NSGA-II to the First Proven Lower Bounds
Benjamin Doerr
Zhongdi Qu
15
38
0
28 Sep 2022
Runtime Analysis for the NSGA-II: Provable Speed-Ups From Crossover
Runtime Analysis for the NSGA-II: Provable Speed-Ups From Crossover
Benjamin Doerr
Zhongdi Qu
18
43
0
18 Aug 2022
Runtime Analysis for Permutation-based Evolutionary Algorithms
Runtime Analysis for Permutation-based Evolutionary Algorithms
Benjamin Doerr
Yassine Ghannane
Marouane Ibn Brahim
21
3
0
05 Jul 2022
Approximation Guarantees for the Non-Dominated Sorting Genetic Algorithm
  II (NSGA-II)
Approximation Guarantees for the Non-Dominated Sorting Genetic Algorithm II (NSGA-II)
Weijie Zheng
Benjamin Doerr
21
8
0
05 Mar 2022
Mathematical Runtime Analysis for the Non-Dominated Sorting Genetic
  Algorithm II (NSGA-II)
Mathematical Runtime Analysis for the Non-Dominated Sorting Genetic Algorithm II (NSGA-II)
Weijie Zheng
Benjamin Doerr
27
39
0
16 Dec 2021
Lazy Parameter Tuning and Control: Choosing All Parameters Randomly From
  a Power-Law Distribution
Lazy Parameter Tuning and Control: Choosing All Parameters Randomly From a Power-Law Distribution
Denis Antipov
M. Buzdalov
Benjamin Doerr
19
31
0
14 Apr 2021
Theoretical Analyses of Multiobjective Evolutionary Algorithms on
  Multimodal Objectives
Theoretical Analyses of Multiobjective Evolutionary Algorithms on Multimodal Objectives
Weijie Zheng
Benjamin Doerr
43
25
0
14 Dec 2020
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