4 papers
Predicting Cascading Failures with a Hyperparametric Diffusion Model
Bin Xiang, Bogdan Cautis, Xiaokui Xiao +3
In this paper, we study cascading failures in power grids through the lens of information diffusion models. Similar to the spread of rumors or influence in an online social network…
Tree-Based Nonlinear Reduced Modeling
Diane Guignard, Olga Mula
This paper is concerned with model order reduction of parametric Partial Differential Equations (PDEs) using tree-based library approximations. Classical approaches are formulated…
State estimation of urban air pollution with statistical, physical, and super-learning graph models
Matthieu Dolbeault, Olga Mula, Agustín Somacal
We consider the problem of real-time reconstruction of urban air pollution maps. The task is challenging due to the heterogeneous sources of available data, the scarcity of direct…
Approximation and Structured Prediction with Sparse Wasserstein Barycenters
Minh-Hieu Do, Jean Feydy, Olga Mula
We develop a general theoretical and algorithmic framework for sparse approximation and structured prediction in with Wasserstein barycenters. The barycenters ar…