Search Results for author: Peter Ashwin

Found 4 papers, 1 papers with code

Transitions in echo index and dependence on input repetitions

no code implementations9 Sep 2023 Peter Ashwin, Andrea Ceni

Casting our theoretical findings in the RNN computing framework, we obtain that for small amplitude forcing the echo index corresponds to the number of attractors for the input-free system, while for large amplitude forcing, the echo index reduces to one.

Quantification and interpretation of the climate variability record

no code implementations20 Jan 2021 Anna S. von der Heydt, Peter Ashwin, Charles D. Camp, Michel Crucifix, Henk A. Dijkstra, Peter Ditlevsen, Timothy M. Lenton

Hence in this paper, we address the question: Can we (after 40 years) update the Mitchell (1976) diagram and provide it with a better interpretation?

Atmospheric and Oceanic Physics

Weak tracking in nonautonomous chaotic systems

1 code implementation9 Jul 2020 Hassan Alkhayuon, Peter Ashwin

For cases where the attractors limit to equilibrium or periodic orbit in past and future limits of such an nonautonomous systems, these can occur as the parameter change passes through a critical rate.

Dynamical Systems

Interpreting recurrent neural networks behaviour via excitable network attractors

no code implementations27 Jul 2018 Andrea Ceni, Peter Ashwin, Lorenzo Livi

Simulations conducted on a controlled benchmark task confirm the relevance of these attractors for interpreting the behaviour of recurrent neural networks, at least for tasks that involve learning a finite number of stable states and transitions between them.

BIG-bench Machine Learning

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