Summer Graduate School

This Summer Graduate School aims to introducing graduate students to some aspects of contemporary modeling and analysis of dynamical systems in their interactions with machine learning and artificial intelligence (AI) applications.

Dynamical systems is a lively branch of mathematics, which has always played a key role in the development and analysis of mathematical algorithms. They provide qualitative and quantitative descriptions of behavior of underlying iterations of functions and operators for algorithmic studies in optimization, statistics and control. Fundamental concepts such as convergence, ergodicity and invariance supply not only the language but also crucial methods for analysis.

Recent developments in machine learning, optimal control and AI impose new and challenging problems and also introduce novel and emerging techniques. In this summer school, we will focus on the following areas: 1) basic concepts and methods in the theory of dynamical systems (attractors and repellors, invariant measures and ergodicity, hyperbolicity, stability and structural stability); 2) optimal transport for modeling stochastic dynamical systems; 3) stochastic control, stochastic differential games and mean-field games, and 4) analytical approach to statistical inferences and machine learning.

School Structure

The school will include two lectures and two problem sessions per day.

Prerequisites

The minimum requirement for students to beneficially participate in this summer schools are the basics of probability, algorithms, linear algebra.

Application Procedure

SLMath is only able to support a limited number of students to attend this school.  Therefore, it is likely that only one student per institution will be funded by SLMath.

For eligibility and how to apply, see the Summer Graduate Schools homepage.

Venue

The location of the summer school is the IBM T. J. Watson Research Center in Yorktown Heights, NY.
The Yorktown lab houses industry-leading facilities for advancing science and technology including an IBM Q lab where researchers are pioneering quantum computing, and the original THINKLab, where IBM researchers and clients collaborate on innovative solutions to complex industry challenges.