Mathematics Research Communities


MRC Conference Week 1b: May 29-June 4, 2022

Data Science at the Crossroads of Analysis, Geometry, and Topology

Organizers:

  • Marina Meila, University of Washington
  • Facundo Mémoli, The Ohio State University
  • Jose Perea, Northeastern University
  • Nicolás García Trillos, University of Wisconsin-Madison
  • Soledad Villar, Johns Hopkins University

The goal of this workshop is to bring together PhD students and early career researchers in Mathematics, Statistics, and related fields, with the aim of contributing to the further development of mathematical foundations for data science. Specifically, our aim is to create a collective platform for the development of a strong theoretical understanding of the interaction between modern problems in data science (such as the representation of complex spatio-temporal dynamics using topological and geometric summaries, adversarial learning and its connections to regularization and generalization, and the design of novel objective functions for robust data analysis) and areas in pure and applied mathematics such as spectral geometry, metric measure space geometry, optimal transportation, and topological data analysis. Each of these areas has been steadily gaining maturity and prominence in applied domains including neuroscience, machine learning, sociology, and materials science.

In preparation for the workshop, we will organize mini-courses on relevant/concomitant aspects of the following topics:

  • Applied Algebraic Topology
  • Gradient flows on metric measure spaces and Optimal Transport
  • Manifold Learning
  • Semidefinite Programming and other optimization techniques for data science and machine learning problems
  • Metric Measure Geometry

The emphasis of the minicourses will be on showcasing specific open problems related to data analysis. These topics will form the basis for the discussion during the workshop.

Applications are now being accepted on MathPrograms. Application deadline will be February 15, 2022.

 

For questions about the application process, please contact the Programs Department at the AMS.