10th World Congress in Probability and Statistics
Laplace Lecture (Tony Cai)
Transfer Learning: Optimality and adaptive algorithms
Tony Cai (University of Pennsylvania)
Runze Li (Pennsylvania State University)
Public Lecture (Young-Han Kim)
Structure and Randomness in Data
Young-Han Kim (University of California at San Diego and Gauss Labs Inc.)
Keywords: Information theory, noise, manufacturing, computer vision, distributed computing, probability laws.
Joong-Ho Won (Seoul National University)
Wald Lecture 2 (Martin Barlow)
Low dimensional random fractals
Martin Barlow (University of British Columbia)
(1) control of the size of balls (2) control of the resistance across annuli, and (3) a smoothness result (a Harnack inequality). In the ‘low dimensional case’ the Harnack inequality is not needed, and (2) can be replaced by easier bounds on the resistance between points. Many random fractals of interest are low dimensional: examples include critical branching processes, the incipient infinite cluster (IIC) for percolation in high dimensions, and the uniform spanning tree. Critical percolation in d=2 remains a challenge however.
Takashi Kumagai (Kyoto University)
IMS Medallion Lecture (Gerard Ben Arous)
Random determinants and the elastic manifold
Gerard Ben Arous (New York University)
This is joint work with Paul Bourgade and Benjamin McKenna (Courant Institute, NYU).
Arup Bose (Indian Statistical Institute)