Title:Tensor trains to deal with the curse of dimensionality? -- definition, examples and algorithms
Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
Time and Date:4:00 pm, Thu, 6th Nov 2014
Tensor trains are a new class of functions which are thought to have some potential to deal with high-dimensional problems. While connected with algebraic geometry the main concepts used are rank-k matrix factorisations. In this talk I will review some basic properties of tensor trains. In particular I will consider algorithms for the solution of linear systems Ax=0. This talk is related to research in progress with Jochen Garcke (Uni Bonn and Fraunhofer Institute) on the solution of the chemical master equation. This talk assumes a basic background in matrix algebra. No background in algebraic geometry is required.