Zoë Corbyn on the British child genius who abandoned physics to devote himself to coding and the cosmos (Stephen Wolfram the inventor: 'The textbook has never interested me' | cellular automata, complexity from rules |
Living, intelligent patterns in Conway's Life Institute for Ethics and Emerging Technologies Another important difference is that, though Life can contain phenomena as complex as anything in our universe, the fundamental physics of Life (the...
A universal map is derived for all deterministic 1D cellular automata (CA) containing no freely adjustable parameters. The map can be extended to an arbitrary number of dimensions and topologies and its invariances allow to classify all CA rules into equivalence classes. Complexity in 1D systems is then shown to emerge from the weak symmetry breaking of the addition modulo an integer number p. The latter symmetry is possessed by certain rules that produce Pascal simplices in their time evolution. These results elucidate Wolfram's classification of CA dynamics.
Use a Human Based Genetic Algorithm (HBGA) to create new and interesting cellular automata similar to Conway's Game of Life.; Author: JeffHeaton; Updated: 10 Mar 2014; Section: Algorithms & Recipes; Chapter: General Programming; Updated: 10 Mar 2014...
Conway's cellular automaton Game of Life has been conjectured to be a critical (or quasicritical) dynamical system. This criticality is generally seen as a continuous order-disorder transition in cellular automata (CA) rule space.
Cellular automata are curious and fascinating computer models programmed with simple rules that generate complex patterns that cause us to consider whether the universe is a computer and life an algorithm.
Jetson TK1 DevKit Harnesses Tegra K1's Compute Capabilities to Enable New Computer-Vision Applications for Robotics, Medical, Avionics, Auto Industries
SAN JOSE, CA - GTC -- NVIDIA today opened the door to the development of a new generation of applications that employ computer vision, image processing and real-time data processing -- with the launch of a developer platform based on the world's first mobile supercomputer for embedded systems.
A substantial number of problems relating to differential equations have been solved by the cellular automata model which includes Diffusion equation , Poisson equation , Lapalace equation , Weyl, Dirac, and ...
We show novel techniques of analysing complex dynamics of cellular automata (CA) with chaotic behaviour. CA are well known computational substrates for studying emergent collective behaviour, complexity, randomness and interaction between order and disorder. A number of attempts have been made to classify CA functions on their spatio-temporal dynamics and to predict behavior of any given function. Examples include mechanical computation, lambda and Z-parameters, mean field theory, differential equations and number conserving features. We propose to classify CA based on their behaviour when they act in a historical mode, i.e. as CA with memory. We demonstrate that cell-state transition rules enriched with memory quickly transform a chaotic system converging to a complex global behaviour from almost any initial condition. Thus in just a few steps we can select chaotic rules without exhaustive computational experiments or recurring to additional parameters. We provide analysis of well-known chaotic functions in one-dimensional CA, and decompose dynamics of the automata using majority memory.
This paper examines the claim that cellular automata (CA) belonging to Class III (in Wolfram's classification) are capable of (Turing universal) computation. We explore some chaotic CA (believed to belong to Class III) reported over the course of the CA history, that may be candidates for universal computation, hence spurring the discussion on Turing universality on both Wolfram's classes III and IV.
Computation and Universality: Class IV versus Class III Cellular Automata
Genaro J. Martinez, Juan C. Seck-Tuoh-Mora, Hector Zenil
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