Tensor Methods and Emerging Applications to the Physical and Data Sciences Tutorials
March 9 - 19, 2021
Tuesday, March 9, 2021 | |
7:55 | Session Chair: M. Alex O. Vasilescu |
7:55 - 8:00 | Welcome & Opening Remarks: Dean Miguel García-Garibay (Dean of Physical Sciences, UCLA) and Dima Shlyakhtenko (Director, IPAM) |
8:00 - 9:15 | Ming Yuan (Columbia University) Low Rank Tensor Methods in High Dimensional Data Analysis Part 1 |
9:25 - 9:45 | Break |
9:45 - 11:00 | Anna Seigal (University of Oxford) From Linear Algebra to Multi-Linear Algebra |
Wednesday, March 10, 2021 | |
8:00 | Session Chair: Jianfeng Lu |
8:00 - 9:15 | Thomas Barthel (Duke University) An Introduction to Tensor-Network Simulations of Quantum Many-Body Systems Part 1 |
9:25 - 9:45 | Break |
9:45 - 11:00 | David Gross (Universität zu Köln) The Stabilizer Formalism and Quantum Error Correction Through the Lens of Tensors Part 1 |
Thursday, March 11, 2021 | |
8:00 | Session Chair: Joseph Landsberg |
8:00 - 9:15 | Lek-Heng Lim (University of Chicago) What is a tensor? Part 1 |
9:25 - 9:45 | Break |
9:45 - 11:00 | M. Alex O. Vasilescu (University of California, Los Angeles (UCLA)) Forward and Inverse Causal Inference with Multilinear (Tensor) Factor Analysis |
Friday, March 12, 2021 | |
8:00 | Session Chair: Alessandra Bernardi |
8:00 - 9:15 | Joseph Landsberg (Texas A&M University - College Station) Introduction to the Geometry of Tensors Part 1 |
9:25 - 9:45 | Break |
9:45 - 11:00 | Ming Yuan (Columbia University) Low Rank Tensor Methods in High Dimensional Data Analysis Part 2 |
Monday, March 15, 2021 | |
8:00 | Session Chair: Gero Friesecke |
8:00 - 9:15 | Thomas Barthel (Duke University) An Introduction to Tensor-Network Simulations of Quantum Many-Body Systems Part 2 |
9:25 - 9:45 | Break |
9:45 - 11:00 | Frank Verstraete (Ghent University) Mathematical Aspects of Tensor Networks Part 1 |
Tuesday, March 16, 2021 | |
8:00 | Session Chair: Miguel Velez Reyes |
8:00 - 9:15 | Ankur Moitra (Massachusetts Institute of Technology) Tensor Decompositions and their Applications Part 1 |
9:25 - 9:45 | Break |
9:45 - 11:00 | M. Alex O. Vasilescu (University of California, Los Angeles (UCLA)) Generalized Block Multilinear Factor Analysis: Representing Parts and Wholes with Hierarchical Block Tensors |
Wednesday, March 17, 2021 | |
8:00 | Session Chair: Lieven De Lathauwer |
8:00 - 9:15 | Lek-Heng Lim (University of Chicago) What is a tensor? Part 2 |
9:25 - 9:45 | Break |
9:45 - 11:00 | Anna Seigal (University of Oxford) Tensors in Statistics and Data Analysis |
Thursday, March 18, 2021 | |
8:00 | Session Chair: Giorgio Ottaviani |
8:00 - 9:15 | David Gross (Universität zu Köln) The Stabilizer Formalism and Quantum Error Correction Through the Lens of Tensors Part 2 |
9:25 - 9:45 | Break |
9:45 - 11:00 | Joseph Landsberg (Texas A&M University - College Station) Introduction to the Geometry of Tensors Part 2 |
Friday, March 19, 2021 | |
8:00 | Session Chair: Anna Seigal |
8:00 - 9:15 | Frank Verstraete (Ghent University) Mathematical Aspects of Tensor Networks Part 2 |
9:25 - 9:45 | Break |
9:45 - 11:00 | Ankur Moitra (Massachusetts Institute of Technology) Tensor Decompositions and their Applications Part 2 |