Ito equations out of domino cellular automaton with efficiency parameters
Zbigniew Czechowski, Mariusz Bia{\l}ecki
TL;DR
This paper derives Ito equations for a stochastic cellular automaton with parameters and validates their effectiveness by comparing with histogram method results, demonstrating the Ito equation's broad applicability as a macroscopic model.
Contribution
It introduces a method to derive Ito equations for a cellular automaton with parameters and confirms their accuracy across different settings.
Findings
Good agreement between Ito equations and histogram method results
Ito equations effectively model the automaton's macroscopic behavior
Supports wide applicability of Ito equations in stochastic cellular automata
Abstract
Ito equations are derived for simple stochastic cellular automaton with parameters and compared with results obtained from the histogram method. Good agreement for various parameters supports wide applicability of the Ito equation as a macroscopic model.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.