431 citations · 681 across the 20 of their papers we have counts for
4 papers · 1 filter
A Response Theory Probe for Learned Stochastic AI Simulators, Tested on Lorenz-63
João Böger, Simon Driscoll, Niccolò Zagli +2
Machine-learning emulators of chaotic and stochastic systems are usually validated on forecast skill and long-run statistics. Neither certifies that an emulator responds correctly…
Ulam Approximation for Nonautonomous Systems: Equivariant Measures and Linear Response
Stefano Galatolo, Valerio Lucarini, Isaia Nisoli
Despite the prevalence of nonautonomous systems in applications, their statistical properties are much less understood than in the autonomous setting. Building on recent results on…
Geometric early warning indicator from stochastic separatrix structure in a random two-state ecosystem model
Yuzhu Shi, Larissa Serdukova, Yayun Zheng +2
Under-ice blooms in the Arctic can develop rapidly under conditions where conventional early warning signals based on critical slowing down fail due to strong noise or limited obse…
A Mathematical Framework for Linear Response Theory for Nonautonomous Systems
Stefano Galatolo, Valerio Lucarini
Linear response theory aims to predict how an additional forcing alters the statistical properties of a reference system. Such questions have been studied predominantly for autonom…