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nlin.CD2026
An Arrow of Time in Stable Autonomous Generation
Zhixin Lu
Does stable autonomous generation select a direction of time? This question matters both for learning models that autonomously generate prescribed dynamics and for designing contro…
nlin.CD2018★ 382 cited
Attractor Reconstruction by Machine Learning
Zhixin Lu, Brian R. Hunt, Edward Ott
A machine-learning approach called "reservoir computing" has been used successfully for short-term prediction and attractor reconstruction of chaotic dynamical systems from time se…
nlin.CD2017★ 633 cited
Using Machine Learning to Replicate Chaotic Attractors and Calculate Lyapunov Exponents from Data
Jaideep Pathak, Zhixin Lu, Brian R. Hunt +2
We use recent advances in the machine learning area known as 'reservoir computing' to formulate a method for model-free estimation from data of the Lyapunov exponents of a chaotic…