Methodological advances in high- and infinite-dimensional statistics

The 21st century has borne witness to significant technological advances together with an explosion in the complexity of data and the questions asked of it. These changes have given rise to a new data analytic landscape and drawn into focus a host of intriguing statistical problems. Among the most relevant in this new landscape are those problems comprising a large or infinite number of unknowns, studied under the umbrella of high- and infinite-dimensional statistics. Motivated by numerous areas of application and enabled by remarkable advances in technology, we present a collection of works that push the frontiers in this area.