Activity-Dependent Plasticity in Morphogenetically-Grown Recurrent Networks

arXiv cs.RO / 4/7/2026

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Key Points

  • The study characterizes Hebbian versus anti-Hebbian activity-dependent plasticity in 50,000 morphogenetically grown recurrent controllers, evaluating them on CartPole and Acrobot after self-organization from compact genomes.
  • Anti-Hebbian plasticity is found to significantly outperform Hebbian for competent networks (Cohen's d ≈ 0.53–0.64), and fixed-weight performance can substantially miss the gains available with plasticity (regret up to 52–100%).
  • The authors show plasticity can shift from merely fine-tuning to true adaptation under non-stationary conditions, with this functional role reflected in their measurements.
  • In co-evolution experiments, plasticity parameters encoded in the genome evolve alongside the developmental architecture and independently recover the same anti-Hebbian patterns (e.g., ~70% of CartPole runs evolve anti-Hebbian behavior).
  • Compared with a random-RNN control, anti-Hebbian dominance appears generic for small recurrent networks, but morphogenetic development increases topology-dependent regret (2–6× higher than random graphs matched by topology statistics).

Abstract

Developmental approaches to neural architecture search grow functional networks from compact genomes through self-organisation, but the resulting networks operate with fixed post-growth weights. We characterise Hebbian and anti-Hebbian plasticity across 50,000 morphogenetically grown recurrent controllers (5M+ configurations on CartPole and Acrobot), then test whether co-evolutionary experiments -- where plasticity parameters are encoded in the genome and evolved alongside the developmental architecture -- recover these patterns independently. Our characterisation reveals that (1) anti-Hebbian plasticity significantly outperforms Hebbian for competent networks (Cohen's d = 0.53-0.64), (2) regret (fraction of oracle improvement lost under the best fixed setting) reaches 52-100%, and (3) plasticity's role shifts from fine-tuning to genuine adaptation under non-stationarity. Co-evolution independently discovers these patterns: on CartPole, 70% of runs evolve anti-Hebbian plasticity (p = 0.043); on Acrobot, evolution finds near-zero eta with mixed signs -- exactly matching the characterisation. A random-RNN control shows that anti-Hebbian dominance is generic to small recurrent networks, but the degree of topology-dependence is developmental-specific: regret is 2-6x higher for morphogenetically grown networks than for random graphs with matched topology statistics.