no code implementations • 16 Sep 2022 • G Manjunath, Juan-Pablo Ortega
Stochastic state contractivity can be satisfied by systems that are not state-contractive, which is a need typically evoked to guarantee the echo state property in reservoir computing.
no code implementations • 18 Jul 2022 • Roumen Anguelov, G Manjunath, Avulundiah E Phiri, Trevor T Nyakudya, Priyesh Bipath, June C Serem, Yvette N Hlophe
To mitigate the effects of the variability of the data on the cell viability measurement, the cell viability is theoretically constructed as a function of time depending on several parameters.
no code implementations • 22 May 2021 • G Manjunath
The celebrated Takens' embedding theorem concerns embedding an attractor of a dynamical system in a Euclidean space of appropriate dimension through a generic delay-observation map.
no code implementations • 22 May 2021 • G Manjunath, A de Clercq, MJ Steynberg
We demonstrate when and how an entire left-infinite orbit of an underlying dynamical system or observations from such left-infinite orbits can be uniquely represented by a pair of elements in a different space, a phenomenon which we call \textit{causal embedding}.
no code implementations • 3 Jan 2020 • G Manjunath
The search for universal laws that help establish a relationship between dynamics and computation is driven by recent expansionist initiatives in biologically inspired computing.
