Note:
Step through rand/1/bin manually with the buttons or Left/Right Arrow keys, or use Run. Selecting Restart generates a new population and resets the simulation. The objective function can be changed before starting or after the simulation is finished. \(F\) and \(CR\) can be adjusted between steps.
Mutation factor \(F\): 0.6
Crossover rate \(CR\): 0.9
Mutation
$$\mathbf{v}_i = \mathbf{x}_{r_1} + F(\mathbf{x}_{r_2} – \mathbf{x}_{r_3})$$

where \(F\) is the mutation factor, and \(\mathbf{x}_{r_1}\), \(\mathbf{x}_{r_2}\), and \(\mathbf{x}_{r_3}\) are distinct population vectors selected for mutation.

Crossover
$$u_{i,j} = \begin{cases} v_{i,j}, & \text{if } \text{rand}_j \le CR \text{ or } j = j_{\text{rand}} \\ x_{i,j}, & \text{otherwise} \end{cases}$$
$$u_{i,j} = \begin{cases} v_{i,j}, & \substack{\text{if } rand_j \le CR\\[-2pt]\text{or } j=j_{\mathrm{rand}}}\\ x_{i,j}, & \text{otherwise} \end{cases}$$

where \(CR\) is the crossover rate, \(\mathbf{u}_i\) is the trial vector, \(\mathbf{v}_i\) is the mutant vector, and \(j_{\mathrm{rand}}\) ensures that at least one component is inherited from the mutant vector.

Selection
$$\mathbf{x}_i^{g+1} = \begin{cases} \mathbf{u}_i, & \text{if } f(\mathbf{u}_i) \le f(\mathbf{x}_i^{g}) \\ \mathbf{x}_i^{g}, & \text{otherwise} \end{cases}$$

where the trial vector replaces the target vector only if it has an equal or better objective function value.

Objave

73 entries « ‹ 1 of 2 › »

Ferš, Nataša Ošep; Zamuda, Aleš

A Single-Objective Mixed-Integer Formulation for Cassini2 Space Mission Trajectory Optimization (Cassini2-MINLP) Journal Article

In: Mathematics, vol. 14, no. 10, pp. 1639, 2026.

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Popič, Jan; Bošković, Borko; Brest, Janez

Improving mutation strategies in differential evolution with a new pbest selection mechanism Journal Article

In: Applied Soft Computing, pp. 113978, 2025, ISSN: 1568-4946.

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Brest, Janez; Maučec, Mirjam Sepesy

Comparative Study of Modern Differential Evolution Algorithms: Perspectives on Mechanisms and Performance Journal Article

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Brest, Janez; Maučec, Mirjam Sepesy

[Preprint v2] Comparative Study of Modern Differential Evolution Algorithms: Perspectives on Mechanisms and Performance Online

2025, visited: 06.05.2025.

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Prica, Teo; Zamuda, Aleš

High-Performance Deployment Operational Data Analytics of Pre-Trained Multi-Label Classification Architectures with Differential-Evolution-Based Hyperparameter Optimization (AutoDEHypO) Journal Article

In: Mathematics, vol. 13, no. 10, 2025, (All Open Access, Gold Open Access, Green Open Access).

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Ferš, Nataša Ošep; Zamuda, Aleš

Improvement in Continuous Black-box Setting Search Performance by Tuning L-SHADE Differential Evolution Historical Memory Size Parameter Proceedings Article

In: pp. 187 – 190, Slovenian Society Informatika, 2023.

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Herzog, Jana; Brest, Janez; Bošković, Borko

Analysis based on statistical distributions: A practical approach for stochastic solvers using discrete and continuous problems Journal Article

In: Information Sciences, vol. 633, pp. 469–490, 2023.

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Brest, Janez; Maučec, Mirjam Sepesy; Bošković, Borko

Self-adaptive differential evolution algorithm with population size reduction for single objective bound-constrained optimization: Algorithm j21 Proceedings Article

In: 2021 IEEE congress on evolutionary computation (CEC), pp. 817–824, IEEE 2021, ISBN: 978-1-7281-8393-0.

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Brest, Janez; Maučec, Mirjam Sepesy; Bošković, Borko

Differential evolution algorithm for single objective bound-constrained optimization: Algorithm j2020 Proceedings Article

In: 2020 IEEE congress on evolutionary computation (CEC), pp. 1-8, IEEE 2020.

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Bošković, Borko; Brest, Janez

Two-phase protein folding optimization on a three-dimensional AB off-lattice model Journal Article

In: Swarm and Evolutionary Computation, vol. 57, pp. 100708, 2020.

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Alić, Amina; Berkovič, Klemen; Bošković, Borko; Brest, Janez

Population size in differential evolution Proceedings Article

In: Swarm, Evolutionary, and Memetic Computing and Fuzzy and Neural Computing: 7th International Conference, SEMCCO 2019, and 5th International Conference, FANCCO 2019, Maribor, Slovenia, July 10–12, 2019, Revised Selected Papers 7, pp. 21–30, Springer 2020, ISBN: 978-3-030-37838-7.

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Fister, Dušan; Fister, Iztok; Jagrič, Timotej; Jr, Iztok Fister; Brest, Janez

Wrapper-based feature selection using self-adaptive differential evolution Proceedings Article

In: International Conference on Swarm, Evolutionary, and Memetic Computing, pp. 135–154, Springer 2020.

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Dugonik, Jani; Bošković, Borko; Brest, Janez; Maučec, Mirjam Sepesy

Improving statistical machine translation quality using differential evolution Journal Article

In: Informatica, vol. 30, no. 4, pp. 629–645, 2019.

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Maučec, Mirjam Sepesy; Brest, Janez

A review of the recent use of Differential Evolution for Large-Scale Global Optimization: An analysis of selected algorithms on the CEC 2013 LSGO benchmark suite Journal Article

In: Swarm and Evolutionary Computation, vol. 50, pp. 100428, 2019.

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Viktorin, Adam; Senkerik, Roman; Pluhacek, Michal; Kadavy, Tomas; Zamuda, Aleš

Distance based parameter adaptation for Success-History based Differential Evolution Journal Article

In: Swarm and Evolutionary Computation, vol. 50, 2019.

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Brest, Janez; Maučec, Mirjam Sepesy; Bošković, Borko

The 100-digit challenge: Algorithm jDE100 Proceedings Article

In: 2019 IEEE congress on evolutionary computation (CEC), pp. 19–26, IEEE 2019.

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Zamuda, Aleš; Sosa, José Daniel Hernández

Success history applied to expert system for underwater glider path planning using differential evolution Journal Article

In: Expert Systems with Applications, vol. 119, pp. 155 – 170, 2019.

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Brest, Janez; Popič, Jan; Maučec, Mirjam Sepesy; Boškovic, Borko

Analiza algoritma jDE100 za enokriterijsko globalno optimizacijo z realnimi vrednostmi Proceedings Article

In: Proceedings of the Twenty-eight International Electrotechnical and Computer Science Conference ERK 2019, pp. 215-218, Slovenian Section IEEE, 2019, ISSN: 2591-0442.

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Zamuda, Aleš

Differential Evolution and Large-Scale Optimization Applications Journal Article

In: IGI Global, InfoSci-Videos, 2019.

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Zamuda, Aleš; Brest, Janez

On Tenfold Execution Time in Real World Optimization Problems with Differential Evolution in Perspective of Algorithm Design Proceedings Article

In: 2018 25th International Conference on Systems, Signals and Image Processing (IWSSIP), pp. 1-5, 2018.

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Bošković, Borko; Brest, Janez

Protein folding optimization using differential evolution extended with local search and component reinitialization Journal Article

In: Information Sciences, vol. 454, pp. 178–199, 2018.

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Zamuda, Aleš

Differential Evolution and Systems, Signals, and Image Processing – Tutorial Proceedings Article

In: 2018 25th International Conference on Systems, Signals and Image Processing (IWSSIP), pp. 1-28, 2018.

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Zamuda, Aleš

Differential Evolution for Evolutionary Computation Challenges: examples from tree growth, energy scheduling, and deep ocean underwater robotics – Tutorial Proceedings Article

In: 24th International Conference on Soft Computing, pp. 1-1, 2018.

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Mlakar, Uroš; Fister, Iztok; Brest, Janez; Potočnik, Božidar

Multi-objective differential evolution for feature selection in facial expression recognition systems Journal Article

In: Expert Systems with Applications, vol. 89, pp. 129–137, 2017.

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Brest, Janez; Maučec, Mirjam Sepesy; Bošković, Borko

Single objective real-parameter optimization: Algorithm jSO Proceedings Article

In: 2017 IEEE congress on evolutionary computation (CEC), pp. 1311–1318, IEEE 2017.

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Zamuda, Aleš

Adaptive Constraint Handling and Success History Differential Evolution for CEC 2017 Constrained Real-Parameter Optimization Proceedings Article

In: Proceedings of the 2017 IEEE Congress on Evolutionary Computation, pp. 2443–2450, 2017.

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Viktorin, Adam; Senkerik, Roman; Pluhacek, Michal; Zamuda, Aleš

Success Clusters in Differential Evolution Proceedings Article

In: IEEE SSCI2016 Symposium Series on Computational Intelligence, December 6-9, 2016, Athens, Greece, 2017.

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Viktorin, Adam; Senkerik, Roman; Pluhacek, Michal; Zamuda, Aleš

Steady success clusters in Differential Evolution Proceedings Article

In: pp. 1–8, IEEE 2017.

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Viktorin, Adam; Senkerik, Roman; Pluhacek, Michal; Kadavy, Tomas; Zamuda, Aleš

Distance based parameter adaptation for differential evolution Proceedings Article

In: 2017 IEEE Symposium Series on Computational Intelligence (SSCI), 2017, ISBN: 978-1-5386-2726-6.

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Mlakar, Uroš; Potočnik, Božidar; Brest, Janez

A hybrid differential evolution for optimal multilevel image thresholding Journal Article

In: Expert Systems with Applications, vol. 65, pp. 221–232, 2016.

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Zamuda, Aleš; Mlakar, Uroš

Tiled EvoLisa Image Evolution With Blending Triangle Brushstrokes and Gene Compression DE Proceedings Article

In: IEEE Congress on Evolutionary Computation (CEC) 2016, pp. 2618-2625, 2016.

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Brest, Janez; Maučec, Mirjam Sepesy; Bošković, Borko

iL-SHADE: Improved L-SHADE algorithm for single objective real-parameter optimization Proceedings Article

In: 2016 IEEE congress on evolutionary computation (CEC), pp. 1188–1195, IEEE 2016.

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Bošković, Borko; Brest, Janez

Differential evolution for protein folding optimization based on a three-dimensional AB off-lattice model Journal Article

In: Journal of molecular modeling, vol. 22, pp. 1–15, 2016.

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Zamuda, Aleš; Mlakar, Uroš

Differential Evolution Control Parameters Study for Self-Adaptive Triangular Brushstrokes Journal Article

In: Informatica – An International Journal of Computing and Informatics, vol. 39, iss. 2, pp. 105-113, 2016.

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Zamuda, Aleš; Sosa, José Daniel Hernández; Adler, Leonhard

Constrained Differential Evolution Optimization for Underwater Glider Path Planning in Sub-mesoscale Eddy Sampling Journal Article

In: Applied Soft Computing, vol. 42, pp. 93-118, 2016.

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Zamuda, Aleš; Brest, Janez

Self-adaptive control parameters' randomization frequency and propagations in differential evolution Journal Article

In: Swarm and Evolutionary Computation, vol. 25, pp. 72-99, 2015.

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Glotić, Arnel; Zamuda, Aleš

Short-term combined economic and emission hydrothermal optimization by surrogate differential evolution Journal Article

In: Applied Energy, vol. 141, pp. 42-56, 2015.

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Brest, Janez; Zamuda, Aleš; Fister, Iztok; Bošković, Borko

Some improvements of the self-adaptive jDE algorithm Proceedings Article

In: IEEE 2015.

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Brest, Janez; Zamuda, Aleš; Bošković, Borko

Adaptation in the differential evolution Book Chapter

In: Adaptation and Hybridization in Computational Intelligence, vol. 18, pp. 53 – 68, Springer, 2015.

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Dugonik, Jani; Bošković, Borko; Maučec, Mirjam Sepesy; Brest, Janez

The usage of differential evolution in a statistical machine translation Journal Article

In: Proceedings, December, 2014, (IEEE SSCI 2014-2014 IEEE Symposium Series on Computational Intelligence-SDE 2014: 2014 IEEE Symposium on Differential Evolution).

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Mlakar, Uroš; Brest, Janez; Zamuda, Aleš

Differential evolution for self-adaptive triangular brushstrokes Proceedings Article

In: pp. 105 – 116, 2014.

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Zamuda, Aleš; Brest, Janez

Vectorized Procedural Models for Animated Trees Reconstruction using Differential Evolution Journal Article

In: Information Sciences, vol. 278, pp. 1-21, 2014.

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Zamuda, Aleš; Sosa, José Daniel Hernández

Differential Evolution and Underwater Glider Path Planning Applied to the Short-Term Opportunistic Sampling of Dynamic Mesoscale Ocean Structures Journal Article

In: Applied Soft Computing, vol. 24, pp. 95–108, 2014.

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Zamuda, Aleš; Brest, Janez; Mezura-Montes, Efrén

Structured Population Size Reduction Differential Evolution with Multiple Mutation Strategies on CEC 2013 real parameter optimization Proceedings Article

In: 2013 IEEE congress on evolutionary computation, pp. 1925 – 1931, IEEE 2013.

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Brest, Janez; Bošković, Borko; Zamuda, Aleš; Fister, Iztok; Mezura-Montes, Efren

Real Parameter Single Objective Optimization using self-adaptive differential evolution algorithm with more strategies Proceedings Article

In: pp. 377 – 383, IEEE 2013.

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Zamuda, Aleš; Brest, Janez

Tree Model Reconstruction Innovization Using Multi-objective Differential Evolution Proceedings Article

In: 2012 IEEE World Congress on Computational Intelligence (IEEE WCCI 2012), Brisbane, Australia, pp. 575-582, 2012.

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Brest, Janez; Bošković, Borko; Zamuda, Aleš; Fister, Iztok; Maučec, Mirjam Sepesy

Self-adaptive differential evolution algorithm with a small and varying population size Proceedings Article

In: pp. 1–8, IEEE 2012.

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Zamuda, Aleš; Brest, Janez

Population reduction differential evolution with multiple mutation strategies in real world industry challenges Proceedings Article

In: International Symposium on Evolutionary Computation, pp. 154 – 161, Springer 2012.

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Zamuda, Aleš; Brest, Janez; Bošković, Borko; Žumer, Viljem

Differential Evolution for Parameterized Procedural Woody Plant Models Reconstruction Journal Article

In: Applied Soft Computing, vol. 11, iss. 8, pp. 4904-4912, 2011.

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Brest, Janez; Korošec, Peter; Šilc, Jurij; Zamuda, Aleš; Bošković, Borko; Maučec, Mirjam Sepesy

Differential evolution and differential ant-stigmergy on dynamic optimisation problems Journal Article

In: International Journal of Systems Science, vol. 44, no. 4, pp. 663 – 679, 2011.

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73 entries « ‹ 1 of 2 › »