mlsanityData to 13 Oct 2026

Evolutionary Optimization Reveals Structural Constraints on Reservoir Architecture for Spatiotemporal Chaos

arXiv 2606.22765 ↗First posted 22 Jun 2026cs.NE cs.AI cs.LGcited by 0

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Abstract (arXiv)

Biological systems maintain function in fluctuating environments by transforming past stimulation into internal dynamical states that support future-oriented responses. Reservoir computing provides a computational analogue, but standard formulations often treat the recurrent substrate as a fixed random network and train only the readout. Here we ask how the substrate itself changes when reservoir architecture is placed under evolutionary selection for prediction. Using the Kuramoto--Sivashinsky equation as a testbed for spatiotemporal chaos, we evolved reservoirs over five construction hyperparameters: size, connectivity degree, spectral radius, input scaling, and readout regularization. Evolution reduced prediction error at the population level, extended the low-error forecast horizon, and organized the design space along a diminishing-return size--efficiency frontier. Structural analyses showed that evolved reservoirs remained within a conserved stochastic-block-model-like spectral envelope while refining low-eigenvalue modes, locking modularity to an intermediate band, and pruning connection cost within that band. Pareto analysis showed that elite reservoirs occupied a horizontal floor in the cost--modularity plane, indicating that accuracy and efficiency were achieved jointly rather than through a simple trade-off. These findings show that evolutionary optimization does not merely improve prediction, but exposes interpretable structural constraints on the recurrent substrate: it stabilizes a task-suitable dynamical class and refines the architectural degrees of freedom most relevant for prediction. Evolutionary reservoir computing therefore provides a bio-inspired framework for studying how predictive demands shape adaptive dynamical networks.

Key facts. No citing papers in the map yet (data through 13 Oct 2026). Builds on 13 of its 93 references that are in the map. First posted on arXiv 22 Jun 2026.

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13 of 93 references.

References · 13

  1. 2018Computational Optimal Transportcited by 772
  2. 2018Hybrid Forecasting of Chaotic Processes: Using Machine Learning in Conjunction with a Knowledge-Based Modelcited by 57
  3. 2019Forecasting Chaotic Systems with Very Low Connectivity Reservoir Computerscited by 43
  4. 2023A Survey on Reservoir Computing and its Interdisciplinary Applications Beyond Traditional Machine Learningcited by 22
  5. 2020Do Reservoir Computers Work Best at the Edge of Chaos?cited by 17
  6. 2019Separation of Chaotic Signals by Reservoir Computingcited by 12
  7. 2024Controlling Chaos Using Edge Computing Hardwarecited by 11
  8. 2021Neural Optimization: Understanding Trade-offs with Pareto Theorycited by 4
  9. 2022Physical Computing: A Category Theoretic Perspective on Physical Computation and System Compositionalitycited by 3
  10. 2020Design and implementation of a modular interior-point solver for linear optimizationcited by 2
  11. 2022Re-visiting Reservoir Computing architectures optimized by Evolutionary Algorithmscited by 2
  12. 2023Modeling non-genetic information dynamics in cells using reservoir computingcited by 1
1 more
  1. 2026What Makes a Bacterial Model a Good Reservoir Computer? Predicting Performance from Separability and Similaritycited by 1

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