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2024 | OriginalPaper | Buchkapitel

Low-Memory Matrix Adaptation Evolution Strategies Exploiting Gradient Information and Lévy Flight

verfasst von : Riccardo Lunelli, Giovanni Iacca

Erschienen in: Applications of Evolutionary Computation

Verlag: Springer Nature Switzerland

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Abstract

The Low-Memory Matrix Adaptation Evolution Strategy is a recent variant of CMA-ES that is specifically meant for large-scale numerical optimization. In this paper, we investigate if and how gradient information can be included in this algorithm, in order to enhance its performance. Furthermore, we consider the incorporation of Lévy flight to alleviate stability issues due to possibly unreliably gradient estimation as well as promote better exploration. In total, we propose four new variants of LMMA-ES, making use of real and estimated gradient, with and without Lévy flight. We test the proposed variants on two neural network training tasks, one for image classification through the newly introduced Forward-Forward paradigm, and one for a Reinforcement Learning problem, as well as five benchmark functions for numerical optimization.

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Literatur
1.
Zurück zum Zitat Hansen, N., Müller, S.D., Koumoutsakos, P.: Reducing the time complexity of the derandomized evolution strategy with covariance matrix adaptation (CMA-ES). Evol. Comput. 11(1), 1–18 (2003)CrossRef Hansen, N., Müller, S.D., Koumoutsakos, P.: Reducing the time complexity of the derandomized evolution strategy with covariance matrix adaptation (CMA-ES). Evol. Comput. 11(1), 1–18 (2003)CrossRef
3.
Zurück zum Zitat Caraffini, F., Iacca, G., Neri, F., Picinali, L., Mininno, E.: A CMA-ES super-fit scheme for the re-sampled inheritance search. In: IEEE Congress on Evolutionary Computation, pp. 1123–1130. IEEE (2013) Caraffini, F., Iacca, G., Neri, F., Picinali, L., Mininno, E.: A CMA-ES super-fit scheme for the re-sampled inheritance search. In: IEEE Congress on Evolutionary Computation, pp. 1123–1130. IEEE (2013)
4.
Zurück zum Zitat Caraffini, F., Iacca, G., Yaman, A.: Improving (1+1) covariance matrix adaptation evolution strategy: a simple yet efficient approach. In: International Global Optimization Workshop (2019) Caraffini, F., Iacca, G., Yaman, A.: Improving (1+1) covariance matrix adaptation evolution strategy: a simple yet efficient approach. In: International Global Optimization Workshop (2019)
5.
Zurück zum Zitat Igel, C., Hansen, N., Roth, S.: Covariance matrix adaptation for multi-objective optimization. Evol. Comput. 15(1), 1–28 (2007)CrossRef Igel, C., Hansen, N., Roth, S.: Covariance matrix adaptation for multi-objective optimization. Evol. Comput. 15(1), 1–28 (2007)CrossRef
6.
Zurück zum Zitat Arnold, D.V., Hansen, N.: A (1+ 1)-CMA-ES for constrained optimisation. In: Genetic and Evolutionary Computation Conference, pp. 297–304 (2012) Arnold, D.V., Hansen, N.: A (1+ 1)-CMA-ES for constrained optimisation. In: Genetic and Evolutionary Computation Conference, pp. 297–304 (2012)
7.
Zurück zum Zitat de Melo, V.V., Iacca, G.: A CMA-ES-based 2-stage memetic framework for solving constrained optimization problems. In: IEEE Symposium on Foundations of Computational Intelligence, pp. 143–150. IEEE (2014) de Melo, V.V., Iacca, G.: A CMA-ES-based 2-stage memetic framework for solving constrained optimization problems. In: IEEE Symposium on Foundations of Computational Intelligence, pp. 143–150. IEEE (2014)
8.
Zurück zum Zitat de Melo, V.V., Iacca, G.: A modified covariance matrix adaptation evolution strategy with adaptive penalty function and restart for constrained optimization. Expert Syst. Appl. 41(16), 7077–7094 (2014)CrossRef de Melo, V.V., Iacca, G.: A modified covariance matrix adaptation evolution strategy with adaptive penalty function and restart for constrained optimization. Expert Syst. Appl. 41(16), 7077–7094 (2014)CrossRef
11.
Zurück zum Zitat Beyer, H.-G., Sendhoff, B.: Simplify your covariance matrix adaptation evolution strategy. IEEE Trans. Evol. Comput. 21(5), 746–759 (2017)CrossRef Beyer, H.-G., Sendhoff, B.: Simplify your covariance matrix adaptation evolution strategy. IEEE Trans. Evol. Comput. 21(5), 746–759 (2017)CrossRef
12.
Zurück zum Zitat Jastrebski, G.A., Arnold, D.V.: Improving evolution strategies through active covariance matrix adaptation. In: IEEE Congress on Evolutionary Computation, pp. 2814–2821. IEEE (2006) Jastrebski, G.A., Arnold, D.V.: Improving evolution strategies through active covariance matrix adaptation. In: IEEE Congress on Evolutionary Computation, pp. 2814–2821. IEEE (2006)
13.
Zurück zum Zitat Arabas, J., Jagodziński, D.: Toward a matrix-free covariance matrix adaptation evolution strategy. IEEE Trans. Evol. Comput. 24(1), 84–98 (2019)CrossRef Arabas, J., Jagodziński, D.: Toward a matrix-free covariance matrix adaptation evolution strategy. IEEE Trans. Evol. Comput. 24(1), 84–98 (2019)CrossRef
14.
Zurück zum Zitat Loshchilov, I., Glasmachers, T., Beyer, H.-G.: Large scale black-box optimization by limited-memory matrix adaptation. IEEE Trans. Evol. Comput. 23(2), 353–358 (2019)CrossRef Loshchilov, I., Glasmachers, T., Beyer, H.-G.: Large scale black-box optimization by limited-memory matrix adaptation. IEEE Trans. Evol. Comput. 23(2), 353–358 (2019)CrossRef
15.
Zurück zum Zitat Salimans, T., Ho, J., Chen, X., Sidor, S., Sutskever, I.: Evolution strategies as a scalable alternative to reinforcement learning. arXiv preprint arXiv:1703.03864 (2017) Salimans, T., Ho, J., Chen, X., Sidor, S., Sutskever, I.: Evolution strategies as a scalable alternative to reinforcement learning. arXiv preprint arXiv:​1703.​03864 (2017)
16.
Zurück zum Zitat Iacca, G., dos Santos Junior, V.C., de Melo, V.V.: An improved Jaya optimization algorithm with Lévy flight. Expert Syst. Appl. 165, 113902 (2020)CrossRef Iacca, G., dos Santos Junior, V.C., de Melo, V.V.: An improved Jaya optimization algorithm with Lévy flight. Expert Syst. Appl. 165, 113902 (2020)CrossRef
17.
Zurück zum Zitat Hinton, G.: The forward-forward algorithm: some preliminary investigations (2022) Hinton, G.: The forward-forward algorithm: some preliminary investigations (2022)
20.
Zurück zum Zitat Lee, H.-C., Song, J.: SymBa: symmetric backpropagation-free contrastive learning with forward-forward algorithm for optimizing convergence (2023) Lee, H.-C., Song, J.: SymBa: symmetric backpropagation-free contrastive learning with forward-forward algorithm for optimizing convergence (2023)
21.
Zurück zum Zitat Barto, A.G., Sutton, R.S., Anderson, C.W.: Neuronlike adaptive elements that can solve difficult learning control problems. IEEE Trans. Syst. Man Cybern. 13(5), 834–846 (1983)CrossRef Barto, A.G., Sutton, R.S., Anderson, C.W.: Neuronlike adaptive elements that can solve difficult learning control problems. IEEE Trans. Syst. Man Cybern. 13(5), 834–846 (1983)CrossRef
Metadaten
Titel
Low-Memory Matrix Adaptation Evolution Strategies Exploiting Gradient Information and Lévy Flight
verfasst von
Riccardo Lunelli
Giovanni Iacca
Copyright-Jahr
2024
DOI
https://doi.org/10.1007/978-3-031-56852-7_3

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