Resumen de Comments on: Distance geometry and data science 3

Robert J. Vanderbei

• This paper provides an excellent introduction to a broad class of modern problems called distance geometry problems. The paper begins with a nice and simple definition of this family of problems and then further motivates the study of this class by giving a number of interesting real-world examples where these problems play an important role. These examples range from the analysis of nuclear magnetic resonance (NMR) data to determine the molecular structure of important biochemicals such as proteins and DNA to speech (and writing) recognition and on to the broad class of machine learning problems in which large data sets are mapped into much lower dimensional spaces and then clustered intelligently into meaningful subsets.