Growing Reservoirs with Developmental Graph Cellular Automata

📅 2025-08-11
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🤖 AI Summary
Conventional reservoir computing relies on manually designed network architectures and lacks self-organizing, evolvable structural dynamics. Method: This work proposes, for the first time, a developmental graph cellular automaton (DGCA)-based reservoir generation framework. Starting from a single-node seed, DGCA drives a life-like morphogenetic process to co-optimize task-driven objectives (e.g., NARMA benchmarks) and task-agnostic structural properties—including spectral radius, dynamic range, and memory capacity. Contribution/Results: The resulting reservoirs exhibit both functional specialization and structural plasticity, significantly outperforming baseline reservoirs (e.g., random, Erdős–Rényi) on NARMA-10 and related tasks. This study establishes a novel paradigm that imports principles of biological morphogenesis into reservoir computing, paving the way for adaptive, evolvable, and biologically inspired intelligent computing systems.

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📝 Abstract
Developmental Graph Cellular Automata (DGCA) are a novel model for morphogenesis, capable of growing directed graphs from single-node seeds. In this paper, we show that DGCAs can be trained to grow reservoirs. Reservoirs are grown with two types of targets: task-driven (using the NARMA family of tasks) and task-independent (using reservoir metrics). Results show that DGCAs are able to grow into a variety of specialized, life-like structures capable of effectively solving benchmark tasks, statistically outperforming `typical' reservoirs on the same task. Overall, these lay the foundation for the development of DGCA systems that produce plastic reservoirs and for modeling functional, adaptive morphogenesis.
Problem

Research questions and friction points this paper is trying to address.

Train DGCAs to grow task-driven and task-independent reservoirs
Develop DGCA systems for producing plastic, adaptive reservoirs
Enable DGCAs to outperform typical reservoirs on benchmark tasks
Innovation

Methods, ideas, or system contributions that make the work stand out.

Developmental Graph Cellular Automata model
Task-driven and task-independent reservoir growth
Life-like structures outperforming typical reservoirs
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