3 papers
nlin.CD2026
One-shot prediction of noise-induced bifurcations with reservoir computing
Nozomi Akashi, Takayuki Watanabe, Masato Hara +4
Dynamical systems can exhibit complex responses when noise is injected. In particular, dynamics can be qualitatively altered by dynamic noise, a phenomenon known as noise-induced b…
nlin.AO2026
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…
cs.NE2026
Optimal Memory Encoding Through Fluctuation-Response Structure
Lianxiang Cui, Kohei Nakajima, Kazuyuki Aihara
Physical reservoir computing exploits the intrinsic dynamics of physical systems for information processing, while keeping the internal dynamics fixed and training only linear read…