Titlebook: Reduction, Approximation, Machine Learning, Surrogates, Emulators and Simulators; RAMSES Gianluigi Rozza,Giovanni Stabile,Marta D‘Elia Book

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Offline Policy Comparison Under Limited Historical Agent-Environment Interactions,ted due to ethical, practical, or security considerations. This constrained distribution of data samples often leads to biased policy evaluation estimates. To remedy this, we propose that instead of policy evaluation, one should perform policy comparison, i.e. to rank the policies of interest in ter

工作

,Weighted Reduced Order Methods for?Uncertainty Quantification in?Computational Fluid Dynamics,ta (such as forcing terms, physical or geometrical coefficients, boundary conditions). We will compare weighted methods such as weighted greedy and weighted POD with non-weighted ones in case of stochastic parameters. In addition we will analyze different sampling and weighting choices to overcome t

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,Measuring Stiffness in?Residual Neural Networks,tion of an underlying neural ordinary differential equation (NODE). We then propose several metrics for the stiffness of a ResNet. We compare these measures numerically by examining their evolution over the course of training a ResNet on several test problems. We find that stiffness tends to increas

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,Reduced Order Models for?the?Buckling of?Hyperelastic Beams,the beam’s deflection is a relevant topic of investigation with fundamental implications on their design for structural analysis and health. When the beams are exposed to external forces, their equilibrium state can undergo to a sudden variation. This happens when a compression, acting along the axi

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,Reduced Models with?Nonlinear Approximations of?Latent Dynamics for?Model Premixed Flame Problems,w fields and couplings over various time and length scales lead to dynamics that evolve in high-dimensional spaces. In this work, we show that online adaptive reduced models that construct nonlinear approximations by adapting low-dimensional subspaces over time can predict well latent dynamics with

Eulogy

Book 2024Model Approximations via RAMSES (Reduced order models, Approximation theory, Machine learning, Surrogates, Emulators, Simulators) in the setting of parametrized partial differential equations also with sparse and noisy data in high-dimensional parameter spaces.. .The book is a valuable resource for

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Offline Policy Comparison Under Limited Historical Agent-Environment Interactions, reliable on policy comparison tasks under mild assumptions on the distribution of the historical data. Additionally, our numerical experiments compare the LDE to other policy evaluation methods on the task of policy ranking and demonstrate its advantage in various settings.

ALIAS

,Data Enhanced Reduced Order Methods for?Turbulent Flows,hich introduce the turbulence modeling through the reduced eddy viscosity field. The numerical investigation of the turbulent flow past a circular cylinder at . shows that the numerical method here introduced yields significantly more accurate velocity and pressure approximations than the standard reduced order method.

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