3 papers
cond-mat.dis-nn2026
Exact distribution of the output of a deep-layered machine
Thomas M. A. Fink
Deep-layered machines, in which each node computes a Boolean function of all nodes below it, underpin deep learning and digital computation. Yet the statistics of their global outp…
cond-mat.dis-nn2026
Deep-layered machines have a built-in Occam's razor
Thomas M. A. Fink
Input-output maps are prevalent throughout science and technology. They are empirically observed to be biased towards simple outputs, but we don't understand why. To address this p…
q-bio.MN2024
Insights from number theory into the critical Kauffman model with connectivity one
F. C. Sheldon, T. M. A. Fink
The Kauffman model of genetic computation highlights the importance of criticality at the border of order and chaos. The model with connectivity one is of special interest because…