278 citations · 414 across the 9 of their papers we have counts for
9 papers
Cultivating the Garden of Eden
Randall D. Beer
Garden of Eden (GOE) states in cellular automata are grid configurations which have no precursors, that is, they can only occur as initial conditions. Finding individual configurat…
The Global Structure of Codimension-2 Local Bifurcations in Continuous-Time Recurrent Neural Networks
Randall D. Beer
If we are ever to move beyond the study of isolated special cases in theoretical neuroscience, we need to develop more general theories of neural circuits over a given neural model…
Computing Aggregate Properties of Preimages for 2D Cellular Automata
Randall D. Beer
Computing properties of the set of precursors of a given configuration is a common problem underlying many important questions about cellular automata. Unfortunately, such computat…
Potential role of a ventral nerve cord central pattern generator in forward and backward locomotion in Caenorhabditis elegans
Erick Olivares, Eduardo J. Izquierdo, Randall D. Beer
Despite the relative simplicity of C. elegans, its locomotion machinery is not yet well understood. We focus on the generation of dorsoventral body bends. While central pattern gen…
Information flow through a model of the C. elegans klinotaxis circuit
Eduardo J. Izquierdo, Paul L. Williams, Randall D. Beer
Understanding how information about external stimuli is transformed into behavior is one of the central goals of neuroscience. Here we characterize the information flow through a c…
Generalized Measures of Information Transfer
Paul L. Williams, Randall D. Beer
Transfer entropy provides a general tool for analyzing the magnitudes and directions---but not the \emph{kinds}---of information transfer in a system. We extend transfer entropy in…