115 citations · 406 across the 28 of their papers we have counts for
33 papers
Learning Transition Operators From Sparse Space-Time Samples
Christian Kümmerle, Mauro Maggioni, Sui Tang
We consider the nonlinear inverse problem of learning a transition operator from partial observations at different times, in particular from sparse observations of ent…
Learning Interaction Variables and Kernels from Observations of Agent-Based Systems
Jinchao Feng, Mauro Maggioni, Patrick Martin +1
Dynamical systems across many disciplines are modeled as interacting particles or agents, with interaction rules that depend on a very small number of variables (e.g. pairwise dist…
Unsupervised learning of observation functions in state-space models by nonparametric moment methods
Qingci An, Yannis Kevrekidis, Fei Lu +1
We investigate the unsupervised learning of non-invertible observation functions in nonlinear state-space models. Assuming abundant data of the observation process along with the d…
Machine Learning for Discovering Effective Interaction Kernels between Celestial Bodies from Ephemerides
Ming Zhong, Jason Miller, Mauro Maggioni
Building accurate and predictive models of the underlying mechanisms of celestial motion has inspired fundamental developments in theoretical physics. Candidate theories seek to ex…
Learning Interaction Kernels for Agent Systems on Riemannian Manifolds
Mauro Maggioni, Jason Miller, Hongda Qiu +1
Interacting agent and particle systems are extensively used to model complex phenomena in science and engineering. We consider the problem of learning interaction kernels in these…
Multiscale regression on unknown manifolds
Wenjing Liao, Mauro Maggioni, Stefano Vigogna
We consider the regression problem of estimating functions on but supported on a -dimensional manifold with . Draw…