Lifting the curse of dimensionality with tensor methods: an introduction

Abstract

Engineers nowadays are experiencing a tsunami of data. Social networks, DNA sequencing, smartphone apps and video games are generating an increasing amount of data. With these evergrowing amounts of information comes the need for new computational tools to analyze, model and infer patterns. Tensor methods are a viable solution to tackle these problems. This talk aims at giving a brief introduction to tensors and tensor methods. The goal is not to discuss too many topics but rather to teach the attendant the necessary 'tensor tools' upon which the methods are based. The talk is at an introductory level and some basic prior knowledge of linear algebra is required.