Date: July - August, 2017 Place: Rm. 1503, KIAS |

Titles & Abstracts | Home > Titles & Abstracts |

**Optimal Transport and Machine Learning**

**Lecturer: Seungjin Choi (Computer Science and Engineering, POSTECH)
**Title: TBA

**Lecturer: Marco Cuturi (ENSAE / CREST)**

Title: TBA

**Lecturer: Jinwoo Shin (Electrical Engineering, KAIST)**

**Title:**Generative Machine Learning

**Abstract:**Generative models randomly generate observable data values, typically given some hidden parameters. In this talk, I will introduce most successful generative models and their underlying theory, which have developed in the machine learning community: (a) graphical models (e.g., Gaussian, Markov random fields, Boltzmann machines) and (b) neural networks (e.g., variational auto-encoders, generative adversarial networks).

**Geometric Measure Theory**

Lecturer: Giovanni Alberti (University of Pisa)

**Title:** An introduction to Geometric Measure Theory and Finite Perimeter Sets.

**Abstract: **In this course I will introduce the basic notions of Geometric Measure Theory (Hausdorff measures, rectifiable sets) and give an overview of the theory of Finite Perimeter Sets, including the proof of De Giorgi's rectifiability theorem.

Then I will show how this theory can be used to prove (easy) existence result for some geometric variational problems. If time allows I will also touch some additional topics, such as the theory of integral currents, the basic regularity for minimizers, and the elliptic approximation of the area functional.