Effective models and predictability of chaotic multiscale systems via machine learning

Autor: Angelo Vulpiani, Francesco Borra, Massimo Cencini
Jazyk: angličtina
Rok vydání: 2020
Předmět:
FOS: Computer and information sciences
Computer Science - Machine Learning
Computer science
MathematicsofComputing_NUMERICALANALYSIS
Degrees of freedom (statistics)
Chaotic
FOS: Physical sciences
Chaotic dynamical systems
machine learning
multiscale systems

Machine learning
computer.software_genre
01 natural sciences
Machine Learning (cs.LG)
010305 fluids & plasmas
multiscale systems
LYAPUNOV ANALYSIS
TURBULENCE
Adiabatic theorem
0103 physical sciences
Limit (mathematics)
Predictability
010306 general physics
business.industry
Reservoir computing
Nonlinear Sciences - Chaotic Dynamics
Nonlinear Sciences - Adaptation and Self-Organizing Systems
machine learning
Scale separation
Imperfect
Artificial intelligence
Chaotic Dynamics (nlin.CD)
business
Adaptation and Self-Organizing Systems (nlin.AO)
computer
Chaotic dynamical systems
Zdroj: Physical review. E (Online) 102 (2020): 052203-1–052203-11. doi:10.1103/PhysRevE.102.052203
info:cnr-pdr/source/autori:Borra F.; Vulpiani A.; Cencini M./titolo:Effective models and predictability of chaotic multiscale systems via machine learning/doi:10.1103%2FPhysRevE.102.052203/rivista:Physical review. E (Online)/anno:2020/pagina_da:052203-1/pagina_a:052203-11/intervallo_pagine:052203-1–052203-11/volume:102
Popis: We scrutinize the use of machine learning, based on reservoir computing, to build data-driven effective models of multiscale chaotic systems. We show that, for a wide scale separation, machine learning generates effective models akin to those obtained using multiscale asymptotic techniques and, remarkably, remains effective in predictability also when the scale separation is reduced. We also show that predictability can be improved by hybridizing the reservoir with an imperfect model.
12 pages with 10 figures. Accepted in Physical Review E
Databáze: OpenAIRE