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Preprint . 2025
Data sources: ZENODO
ZENODO
Preprint . 2025
Data sources: Datacite
ZENODO
Preprint . 2025
Data sources: Datacite
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Quadratic Insight from Local Pattern Propagation: An O(N²) Framework for Exponential Intelligence

Authors: Trevethan, Christopher Thomas;

Quadratic Insight from Local Pattern Propagation: An O(N²) Framework for Exponential Intelligence

Abstract

Current distributed AI systems share gradients—they should sharepatterns. We present a framework achieving O(N²) intelligence scalingthrough pattern propagation across any device capable of embeddingvectors or sharing patterns. Each node generates local pattern vectorspi ∈ Rd, shares via adaptable protocols, and synthesizes insights throughconsensus. Mathematical analysis proves I(N) = N(N−1)2unique patterninteractions emerge from N nodes, solving problems previously requiring exponential computation. Simulations with 1,000 nodes demonstrate499,500 synthesis opportunities, validating quadratic growth. This isn’toptimization—it’s a paradigm shift from centralized to distributed intelligence. Patent 63/827,815 filed.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green