3 papers
math.OC2022
Convergence rates for ansatz-free data-driven inference in physically constrained problems
Sergio Conti, Franca Hoffmann, Michael Ortiz
We study a Data-Driven approach to inference in physical systems in a measure-theoretic framework. The systems under consideration are characterized by two measures defined over th…
math.FA2021
Model-free Data-Driven Inference
Sergio Conti, Franca Hoffmann, Michael Ortiz
We present a model-free data-driven inference method that enables inferences on system outcomes to be derived directly from empirical data without the need for intervening modeling…
math.AP2019
Symmetric div-quasiconvexity and the relaxation of static problems
Sergio Conti, Stefan Müller, Michael Ortiz
We consider problems of static equilibrium in which the primary unknown is the stress field and the solutions maximize a complementary energy subject to equilibrium constraints. A…