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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
All times in this Schedule are Pacific Time (PT)

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
All times in this Schedule are Pacific Time (PT)

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
All times in this Schedule are Pacific Time (PT)

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
All times in this Schedule are Pacific Time (PT)

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
All times in this Schedule are Pacific Time (PT)

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
All times in this Schedule are Pacific Time (PT)

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
All times in this Schedule are Pacific Time (PT)

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
All times in this Schedule are Pacific Time (PT)

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
All times in this Schedule are Pacific Time (PT)

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