Recently there is a rising interest in the research of mean-field optimization, in particular because of its role in analyzing the training of neural networks.

With advances in electrification in transportation, extensive use of power electronics, and utilization of renewable energy and their assimilation into the electrical grid, there is a clear need to

In many applications fields such as economics, finance and engineering, matrix or tensor observations are now commonly observed over time. Often the dimensions of these time series data high.

We are excited to have Dr Shuyu CHEN introduce some progress on product development using acoustic metamaterial technology and discuss the new trend of commercialization of advanced material technology using metamaterials as examples.

Abstract  

The Bernstein problem asks whether entire minimal graphs in R^{n+1} are necessarily hyperplanes. It is known through spectacular work of Bernstein, Fleming, De Giorgi, Almgren, Simons, and Bombieri-De Giorgi-Giusti that the answer is positive if and only if n < 8.