Cellular Automata Rules and EigenRules

1. Cellular Automata Rules and EigenRules Elementary cellular automata rules (ECA) have many appealing properties as models for non-equilibrium physical systems. However, their ensemble dynamics is poorly understood. In particular, the ensemble dynamics of ECAs reveals localized, non-interacting structures, which may include solitons. The ensembles also exhibit dispersion from a single initial site, generating peaks traveling at fractional velocities. This suggests collective excitation and is consistent with the results of principal component analysis. Analyzes the equally weighted ensemble of all ECA rules Cellular automata rules are popular models for self-assembling systems, but their ensemble dynamics are poorly understood. This paper investigates the dynamics of an ensemble of ECA rules to reveal persistent and non-interacting patterns. VISIT HERE Results show that the ensemble exhibits strong velocity correlation and a quasi-linear dependence on initial conditions. Moreover, it reveals the emergence of peaks traveling at low-denominator fractional velocities, implying collective excitation. Analyzes Vector4f's output when Eigen's vectorization is not disabled You can disable Eigen's vectorization in Vector4f by using the -EigenRules flag. If you do, you'll find the output of Vector4f is slightly shorter. In this case, the output of Vector4f is generated with a slightly smaller xmm register count. You can also use -Rpass=loop-vectorize to identify which loops were successfully vectorized and which ones failed.