The following dichotomy is established for any pair F, G of hereditary families of finite subsets of N: Given N, an infinite subset of N, there exists M an infinite subset of N so that either ...

Advances in flow cytometry and other single-cell technologies have enabled high-dimensional, high-throughput measurements of individual cells as well as the interrogation of cell population ...

Although the curse of dimensionality is a well-known problem, the statistical component of this problem, which renders clustering outcomes invalid, has not been properly recognized in flow and mass ...