This book provides an introduction to the mathematical and algorithmic foundations of data
science, including machine learning, high-dimensional geometry, and analysis of large …

Computer science as an academic discipline began in the 1960's. Emphasis was on
programming languages, compilers, operating systems, and the mathematical theory that …

Barycentric coordinates provide a simple way of expressing the linear interpolant to data
given at the vertices of a triangle and have numerous applications in computer graphics and …

Consideration was given to a special problem of controlling a formation of mobile agents,
that of uniform deployment of several identical agents on a segment of the straight line. For …

Рассматривается разработанный в [5] алгоритм эволюции совокупности точек на
плоскости, приводящий её в некоторую регулярную конфигурацию. Предлагаются …

Рассматривается специальная задача управления формацией мобильных агентов–
задача равномерного размещения нескольких идентичных агентов на отрезке прямой …

We investigate the emergence of periodic behavior in opinion dynamics and its underlying
geometry. For this, we use a bounded-confidence model with contrarian agents in a …

This article addresses the problem of multiagent communication in networks with a regular
directed ring structure. These can be viewed as hierarchical extensions of the classical …

В статье предложены простейшие линейные локальные алгоритмы непрерывного
перемещения агентов для их равномерного расположения на прямой или окружности …

Riemannian Optimization for Averaging Positive Definite Matrices Page 1 ARENBERG
DOCTORAL SCHOOL Faculty of Engineering Science Riemannian Optimization for Averaging …