Project Title: Tensor decompositions for sums of even powers of real polynomialsDoctoral Candidate: Matteo BechereAdvisors: S. Kuhlmann (UKON), B. Mourrain (Inria) Mentor: C. Riener (UiT) Objectives: The Archimedean Positivstellensatz for quadratic modules in the multivariate real polynomial ring, coupled with Lasserre’s moment–SOS method, have found important applications in polynomial optimization.…
Project Title: Tropicalization of moment relaxations for tensor decompositionsDoctoral Candidate: Sami HalasehAdvisors: M. Skomra (CNRS), S. Kuhlmann (UKON), Mentor: M. Gabay (Artelys) Objectives: The problem of computing tensor decompositions by moment relaxations and weighted sums of squares (SOS) has been extensively studied in the last decade. At the same time,…
Project Title: Low-rank approximation for tensor modelingDoctoral Candidate: Mattia MatucciAdvisors: A. Mantzaflaris (Inria), C. Giannelli (UniFI) Mentor: Michael Gabay (Artelys) Objectives: This project aims at low-rank representations of numerical solutions of high-dimensional partial differential operators, for use in modeling and optimization. In particular we aim at accelerating isogeometric discretizations that…
Project Title: Geometry of extensor varieties Doctoral Candidate: Enrica BarrilliAdvisors: B. Mourrain (Inria), A. Bernardi (UniTN) Mentor: F. Lucca (BlueTensor) Objectives: Decomposition of tensors is an important challenge in scientific computing, with applications in many domains including data analysis, statistics, engineering, quantum information, physics, chemistry. The goal of the project…
ALL POSITIONS HAVE BEEN FILLED. The recruitment is now closed. TENORS is a Marie Skłodowska-Curie Doctoral Network / Joint Doctorate (2024-2028), offering 15 PhD positions that are expected to start in September/October 2024. TENORS aims to form the next generation of researchers and engineers in scientific computing and data analysis,…
