Learning from Dynamics on Metric Spaces and Graphs

Abstract

The PI, Dr. Mauro Maggioni, proposes to research how to exploit observations of time-varying data to construct (i) statistical models for the data and its dynamics, (ii) statistically and computational efficient estimators for the parameters of such models, and (iii) re-use information acquired by observing one system to perform similar statistical learning tasks more quickly on new, possibly more complex systems. Especially, he is interested when the underlying geometry of data is non-Euclidean. A key motivation arises from emphasizing the importance of the time-varying aspect of many data sets in a wide variety of settings, from learning efficient representations - in time and space - of shapes and objects in a visual scene, to exploiting many short trajectories simulated in parallel of a high-dimensional stochastic system to perform model reduction, or discover laws in complex systems of interacting agents.

Document Details

Document Type
DoD Grant Award
Publication Date
Mar 06, 2024
Source ID
FA95502310445

Entities

People

  • Mauro Maggioni

Organizations

  • Air Force Office of Scientific Research
  • Johns Hopkins University
  • United States Air Force

Tags

Fields of Study

  • Mathematics

Readers

  • Computer Vision.
  • Distributed Systems and Data Platform Development
  • Statistical inference.

Technology Areas

  • Space