Tensor Methods and Emerging Applications to the Physical and Data Sciences Tutorials

March 9 - 19, 2021

All times in this Schedule are Pacific Time (PT)

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 |