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Evolving neuronal plasticity rules using cartesian genetic programming

Published: 08 July 2021 Publication History

Abstract

We formulate the search for phenomenological models of synaptic plasticity as an optimization problem. We employ Cartesian genetic programming to evolve biologically plausible human-interpretable plasticity rules that allow a given network to successfully solve tasks from specific task families. While our evolving-to-learn approach can be applied to various learning paradigms, here we illustrate its power by evolving plasticity rules that allow a network to efficiently determine the first principal component of its input distribution. We demonstrate that the evolved rules perfom competitively with known hand-designed solutions. We explore how the statistical properties of the datasets used during the evolutionary search influences the form of the plasticity rules and discover new rules which are adapted to the structure of the corresponding datasets.

References

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Samy Bengio, Yoshua Bengio, Jocelyn Cloutier, and Jan Gecsei. 1992. On the optimization of a synaptic learning rule. In Preprints Conf. Optimality in Artificial and Biological Neural Networks, Vol. 2. Univ. of Texas.
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Guo-qiang Bi and Mu-ming Poo. 1998. Synaptic Modifications in Cultured Hippocampal Neurons: Dependence on Spike Timing, Synaptic Strength, and Postsynaptic Cell Type. Journal of Neuroscience 18, 24 (1998), 10464--10472.
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Basile Confavreux, Everton J. Agnes, Friedemann Zenke, Timothy Lillicrap, and Tim P. Vogels. 2020. A meta-learning approach to (re)discover plasticity rules that carve a desired function into a neural network. bioRxiv (2020).
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Jakob Jordan, Maximilian Schmidt, Walter Senn, and Mihai A. Petrovici. 2020. Evolving to learn: discovering interpretable plasticity rules for spiking networks. arXiv:q-bio.NC/2005.14149
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Timothy P Lillicrap, Adam Santoro, Luke Marris, Colin J Akerman, and Geoffrey Hinton. 2020. Backpropagation and the brain. Nature Reviews Neuroscience 21, 6 (2020), 335--346.
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Julian Miller. 2019. Cartesian genetic programming: its status and future. Genetic Programming and Evolvable Machines 21 (08 2019).
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Erkki Oja. 1982. Simplified neuron model as a principal component analyzer. Journal of Mathematical Biology 15, 3 (1 Nov. 1982), 267--273.
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Sebastian Risi and Kenneth O Stanley. 2010. Indirectly encoding neural plasticity as a pattern of local rules. In International Conference on Simulation of Adaptive Behavior. Springer, 533--543.
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Maximilian Schmidt and Jakob Jordan. 2020. hal-cgp: Cartesian genetic programming in pure Python.

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cover image ACM Conferences
GECCO '21: Proceedings of the Genetic and Evolutionary Computation Conference Companion
July 2021
2047 pages
ISBN:9781450383516
DOI:10.1145/3449726
Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 08 July 2021

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Author Tags

  1. genetic programming
  2. metalearning
  3. synaptic plasticity

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