Name
Title | ||
|---|---|---|
Affine continuous cellular automata solving the fixed-length density classification problem. |
Abstract | ||
|---|---|---|
In this paper, the classical density classification problem is considered in the context of affine continuous cellular automata. It has been shown earlier that there exists no general solution to this problem that is valid for any number of cells. Here, we consider this problem in the case of a fixed number of cells. Necessary conditions for solving the problem are formulated. Based on this knowledge, a specific class of affine continuous cellular automata is evaluated experimentally for 23 cells. A rich solution set is analysed and visualised. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/s11047-017-9631-4 | Natural Computing |
Keywords | Field | DocType |
Density classification problem,Affine continuous cellular automata,Majority problem | Affine transformation,Discrete mathematics,Cellular automaton,Continuous spatial automaton,Affine combination,Algebra,Existential quantification,Solution set,Majority problem,Stochastic cellular automaton,Mathematics | Journal |
Volume | Issue | ISSN |
17 | 3 | 1567-7818 |
Citations | PageRank | References |
0 | 0.34 | 8 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Marcin Dembowski | 1 | 0 | 0.34 |
| Barbara Wolnik | 2 | 2 | 3.43 |
| Witold Bolt | 3 | 4 | 2.80 |
| Jan M. Baetens | 4 | 26 | 7.65 |
| Bernard De Baets | 5 | 2994 | 300.39 |