Workshop III: Mathematical Foundations and Algorithms for Tensor Computations

Part of the Long Program Tensor Methods and Emerging Applications to the Physical and Data Sciences
May 3 - 6, 2021

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, May 3, 2021

Session Chairs: Anna Seigal (Oxford) and André Uschmajew (Max Planck Institute)

Morning Session
7:55 - 8:00 Welcome & Opening Remarks: Dean Miguel García-Garibay (Dean of Physical Sciences, UCLA) and Dima Shlyakhtenko (Director, IPAM)
8:00 - 8:30
Alex Wein (New York University)

The Kikuchi Hierarchy and Tensor PCA
PDF Presentation
8:40 - 8:55 Break
8:55 - 9:25
9:35 - 9:50 Break
9:50 - 10:20
Kaie Kubias (Aalto University)

Rank-one tensor completion
PDF Presentation
10:30 - 10:45 Break
10:45 - 11:15
Mateusz Michalek (Universität Konstanz)

Algebraic methods to construct tensors
PDF Presentation
11:30 - 11:55 Lightning Poster Presentations - Presenters: Nick Dewaele (KU Leuven); Yuetian Luo (Univ. Wisconsin); Kevin Slagle (Caltech); Deqing Wang (Dalian University of Technology); and Zi Yang (UC San Diego)
11:55 - 12:25 Poster Session (please go to the "Poster Session" tab to view posters)

Tuesday, May 4, 2021

Session Chair: Aravindan Vijayaraghavan (Northwestern)

Morning Session
8:00 - 8:30
Nick Vannieuwenhoven (KU Leuven )

Sensitivity of tensor decompositions
PDF Presentation
8:40 - 8:55 Break
8:55 - 9:25
9:35 - 9:50 Break
9:50 - 10:20
Anh-Huy Phan (Skolkovo Institute of Science and Technology)

Chain Tensor Network: Instability and how to deal with it
PDF Presentation
10:30 - 10:45 Break
10:45 - 11:15
Venera Khoromskaia (Max-Planck-Institut für Mathematik in den Naturwissenschaften)

Tensor numerical modeling of the collective electrostatic potentials in many-particle systems
PDF Presentation
11:25 - 11:40 Break
11:40 - 12:10
Bart Vandereycken (Université de Genève)

Algorithms for dynamical low-rank approximation
PDF Presentation

Wednesday, May 5, 2021

Session Chair: Jiawang Nie (UC San Diego)

Morning Session
8:00 - 8:30
8:40 - 8:55 Break
8:55 - 9:25
David Perez-Garcia (Universidad Complutense de Madrid)

Spectral gap in PEPS
PDF Presentation
9:35 - 9:50 Break
9:50 - 10:20
Yang Qi (Institut National de Recherche en Informatique et Automatique (INRIA))

Inner and outer approximations of tropical polytopes and their applications in tropical tensors
PDF Presentation
10:30 - 10:45 Break
10:45 - 11:15
Maksim Rakhuba (Higher School of Economics)

Quantized tensor decompositions: challenges and applications

11:25 - 11:40 Break
11:40 - 12:10
Elina Robeva (University of British Columbia)

Hidden Variables in Linear Non-Gaussian Causal Models
PDF Presentation

Thursday, May 6, 2021

Session Chair: Norbert Schuch (Univ. Vienna)

Morning Session
8:00 - 8:30
8:40 - 8:55 Break
8:55 - 9:25
9:35 - 9:50 Break
9:50 - 10:20
Jiawang Nie (University of California, San Diego (UCSD))

Learning Diagonal Gaussian Mixture Models and Incomplete Tensor Decompositions
PDF Presentation
10:30 - 10:45 Break
10:45 - 11:15
Aravindan Vijayaraghavan (Northwestern University)

Smoothed Analysis for Tensor Decompositions and Unsupervised Learning
PDF Presentation
11:30 Conclusion