In this work, we present an approach for the exploration of low-dimensional effective potential landscapes. Making use of extrapolation in a low dimensional space of automatically learned variables (i.e. Diffusion Maps - DMAPs - variables) and machine learning schemes (e.g. Geometric Harmonics - GH) for lifting the new points into the ambient space, the described method enables to escape from local potential wells towards new minima. A simple three-dimensional stochastic differential equation system with a non-linear two-dimensional attractive manifold is considered for illustration purposes.
Systematic exploration of energy landscapes in stochastic simulators / Chiavazzo, Eliodoro; Gear, William; Kevrekidis, Yannis. - ELETTRONICO. - (2015). (Intervento presentato al convegno 5th Annual International Workshop on Model Reduction in Reacting Flows IWMRRF tenutosi a Brandenburg University of Technology, Cottbus, Germany nel 28 June - 1 July, 2015).
Systematic exploration of energy landscapes in stochastic simulators
CHIAVAZZO, ELIODORO;
2015
Abstract
In this work, we present an approach for the exploration of low-dimensional effective potential landscapes. Making use of extrapolation in a low dimensional space of automatically learned variables (i.e. Diffusion Maps - DMAPs - variables) and machine learning schemes (e.g. Geometric Harmonics - GH) for lifting the new points into the ambient space, the described method enables to escape from local potential wells towards new minima. A simple three-dimensional stochastic differential equation system with a non-linear two-dimensional attractive manifold is considered for illustration purposes.File | Dimensione | Formato | |
---|---|---|---|
IWMRRF2015Chiavazzo.pdf
accesso aperto
Tipologia:
Abstract
Licenza:
Creative commons
Dimensione
276.09 kB
Formato
Adobe PDF
|
276.09 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/2630091
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo