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February 5, 20260 citationsOpen Access

Minimal Structural Sufficiency and the Pruning Paradox in Neural Networks

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CBClaudio Bresciano

Key Points

  • The research aims to establish how structure limits, exemplified by F_{min}, govern intelligence and operational efficiency in neural networks.
  • Analyzed extreme hydrocephalus cases to illustrate brain volume reduction and consciousness retention.
  • Evaluated the topology of systems in relation to structural sufficiency and coherence.
  • Contrasted traditional AI pruning methods with biological network configurations.
  • Identified F_{min} as a critical boundary for structural integrity in neural systems.
  • Demonstrated that system functionality persists on a stability plateau until F_{min} is breached.
  • Showed that re-training becomes impossible as underlying structural support collapses beyond the boundary.

Abstract

This paper establishes the Structural Existence Boundary (F₌₈₍) as the fundamental limit for intelligence, contrasting the "Winning Ticket" in Machine Learning with extreme biological adaptation. By analyzing cases of extreme hydrocephalus—where consciousness persists despite a 90% reduction in brain volume—we demonstrate that system coherence is governed by a "Plateau + Cliff" topology rather than linear parameter scaling. While traditional AI relies on post hoc pruning to find efficient subgraphs, biological evidence reveals a "Single Ticket" configuration where the system operates continuously at the threshold of structural necessity. We show that systems remain functionally invariant on a stability plateau as long as the axiomatic core is preserved, but suffer an irreversible spectral breakdown once the F₌₈₍ boundary is breached. At this critical cliff, re-training becomes impossible as the underlying structural support for information throughput (Psi) collapses. These findings suggest that true efficiency in both neural and biological networks is achieved not by removing excess, but by a system’s intrinsic ability to maintain coherence within a minimal, non-reducible structural configuration.

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Cite This Study

Claudio Bresciano (2026) studied this question.

synapsesocial.com/papers/6984345ff1d9ada3c1fb26echttps://doi.org/10.5281/zenodo.18452834
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