110 citations · 407 across the 19 of their papers we have counts for
24 papers
Projection pursuit adaptation on polynomial chaos expansions
Xiaoshu Zeng, Roger Ghanem
The present work addresses the issue of accurate stochastic approximations in high-dimensional parametric space using tools from uncertainty quantification (UQ). The basis adaptati…
Probabilistic Learning on Manifolds (PLoM) with Partition
Christian Soize, Roger Ghanem
The probabilistic learning on manifolds (PLoM) introduced in 2016 has solved difficult supervised problems for the ``small data'' limit where the number N of points in the training…
Data-based Discovery of Governing Equations
Waad Subber, Piyush Pandita, Sayan Ghosh +3
Most common mechanistic models are traditionally presented in mathematical forms to explain a given physical phenomenon. Machine learning algorithms, on the other hand, provide a m…
Multi-market Oligopoly of Equal Capacity
Ruda Zhang, Roger Ghanem
We consider a variant of Cournot competition, where multiple firms allocate the same amount of resource across multiple markets. We prove that the game has a unique pure-strategy N…
Probabilistic learning on manifolds constrained by nonlinear partial differential equations for small datasets
Christian Soize, Roger Ghanem
A novel extension of the Probabilistic Learning on Manifolds (PLoM) is presented. It makes it possible to synthesize solutions to a wide range of nonlinear stochastic boundary valu…
Drivers learn city-scale dynamic equilibrium
Ruda Zhang, Roger Ghanem
Understanding driver behavior in on-demand mobility services is crucial for designing efficient and sustainable transport models. Drivers' delivery strategy is well understood, but…