Publisher Summary This chapter focuses on the inequalities, small ball probabilities, and
application of Gaussian processes. It is well-known that the large deviation result plays a …

I(x,x) I= 1rn/2 /r(1+ n/2) . Page 1 64 ISOTROPIC POSITION AND INERTIA ELLIPSOIDS AND
ZONOIDS OF THE UNIT BALL OF A NORMED n-DIMENSIONAL SPACE VD Milman* The …

High-dimensional probability offers insight into the behavior of random vectors, random
matrices, random subspaces, and objects used to quantify uncertainty in high dimensions …

Despite achieving impressive performance, state-of-the-art classifiers remain highly
vulnerable to small, imperceptible, adversarial perturbations. This vulnerability has proven …

Boolean functions are perhaps the most basic objects of study in theoretical computer
science. They also arise in other areas of mathematics, including combinatorics, statistical …

Peter K. Friz Martin Hairer With an Introduction to Regularity Structures Second Edition
Page 1 Universitext Peter K. Friz Martin Hairer A Course on Rough Paths With an …

This book is a continuation of Asymptotic Geometric Analysis, Part I, which was published as
volume 202 in this series. Asymptotic geometric analysis studies properties of geometric …

Isoperimetric, measure concentration and random process techniques appear at the basis of
the modern understanding of Probability in Banach spaces. Based on these tools, the book …

This is the first comprehensive introduction to the theory of mass transportation with its many—
and sometimes unexpected—applications. In a novel approach to the subject, the book both …

Robust Optimization Page 1 Page 2 Robust Optimization Page 3 Princeton Series in Applied
Mathematics Series Editors: Ingrid Daubechies (Princeton University); Weinan E (Princeton …