Holographic Automata for Ambient Immersive A. I. via Reservoir Computing

TL;DR

This paper introduces a novel semilinear representation of cellular automata using convolution kernels, enabling applications in reservoir computing and proposing a holographic grid for immersive AI using existing wireless tech.

Contribution

It presents a new mathematical framework for cellular automata and introduces the concept of a holographic grid for immersive AI leveraging current wireless technologies.

Findings

Semilinear representation of CA with convolution kernels

Application to Turing universal rule 110 in reservoir computing

Proposal of a holographic grid using Wi-Fi and Li-Fi

Abstract

We prove the existence of a semilinear representation of Cellular Automata (CA) with the introduction of multiple convolution kernels. Examples of the technique are presented for rules akin to the "edge-of-chaos" including the Turing universal rule 110 for further utilization in the area of reservoir computing. We also examine the significance of their dual representation on a frequency or wavelength domain as a superposition of plane waves for distributed computing applications including a new proposal for a "Hologrid" that could be realized with present Wi-Fi,Li-Fi technologies.