35 citations · 84 across the 10 of their papers we have counts for
4 papers · 1 filter
Memory Uncertainty Relation and Harmonic Memory in Random Recurrent Networks
Taichi Haruna, Kohei Nakajima
We present an inequality that bounds the short-term memory capability of dynamical systems from below. It can be interpreted as an uncertainty relation between a measure of short-t…
Optimal short-term memory before the edge of chaos in driven random recurrent networks
Taichi Haruna, Kohei Nakajima
The ability of discrete-time nonlinear recurrent neural networks to store time-varying small input signals is investigated by mean-field theory. The combination of a small input st…
Evolution of Activity-Dependent Adaptive Boolean Networks towards Criticality: An Analytic Approach
Taichi Haruna
We propose new activity-dependent adaptive Boolean networks inspired by the cis-regulatory mechanism in gene regulatory networks. We analytically show that our model can be solved…
Symbolic local information transfer
Kohei Nakajima, Taichi Haruna
Recently, the permutation-information theoretic approach has been used in a broad range of research fields. In particular, in the study of highdimensional dynamical systems, it has…