Workshop III: Mathematical Foundations and Algorithms for Tensor Computations - IPAM

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

Morning Session

07:55-07:55
Session Chairs: Anna Seigal (Oxford) and André Uschmajew (Max Planck Institute)
07:55-08:00
Welcome & Opening Remarks: Dean Miguel García-Garibay (Dean of Physical Sciences, UCLA) and Dima Shlyakhtenko (Director, IPAM)
08:00-08:30
Alex Wein (New York University)
The Kikuchi Hierarchy and Tensor PCA
08:40-08:55
Break
08:55-09:25
Rong Ge (Duke University)
Beyond Lazy Training for Over-parameterized Tensor Decomposition
09:35-09:50
Break
09:50-10:20
Kaie Kubias (Aalto University)
Rank-one tensor completion
10:30-10:45
Break
10:45-11:15
Mateusz Michalek (Universität Konstanz)
Algebraic methods to construct tensors
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

Morning Session

08:00-08:00
Session Chair: Aravindan Vijayaraghavan (Northwestern)
08:00-08:30
Nick Vannieuwenhoven (KU Leuven )
Sensitivity of tensor decompositions
08:40-08:55
Break
08:55-09:25
Paul Breiding (Universität Osnabrück)
Pencil-based algorithms for tensor rank decomposition are not stable
09:35-09:50
Break
09:50-10:20
Anh-Huy Phan (Skolkovo Institute of Science and Technology)
Chain Tensor Network: Instability and how to deal with it
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
11:25-11:40
Break
11:40-12:10
Bart Vandereycken (Université de Genève)
Algorithms for dynamical low-rank approximation

Wednesday, May 5, 2021

Morning Session

08:00-08:00
Session Chair: Jiawang Nie (UC San Diego)
08:00-08:30
Nikos Sidiropoulos (University of Virginia)
Supervised Learning and Canonical Decomposition of Multivariate Functions (Joint work with Nikos Kargas)
08:40-08:55
Break
08:55-09:25
David Perez-Garcia (Universidad Complutense de Madrid)
Spectral gap in PEPS
09:35-09:50
Break
09:50-10:20
Yang Qi (Institut National de Recherche en Informatique et Automatique (INRIA))
Inner and outer approximations of tropical polytopes and their applications in tropical tensors
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

Thursday, May 6, 2021

Morning Session

08:00-08:00
Session Chair: Norbert Schuch (Univ. Vienna)
08:00-08:30
Tselil Schramm (Stanford University)
Fast Spectral Algorithms for Tensor Decomposition from Sum-of-Squares Analyses
08:40-08:55
Break
08:55-09:25
Madeleine Udell (Cornell University)
Low Rank Tucker Approximation of a Tensor from Streaming Data
09:35-09:50
Break
09:50-10:20
Jiawang Nie (University of California, San Diego (UCSD))
Learning Diagonal Gaussian Mixture Models and Incomplete Tensor Decompositions
10:30-10:45
Break
10:45-11:15
Aravindan Vijayaraghavan (Northwestern University)
Smoothed Analysis for Tensor Decompositions and Unsupervised Learning
11:30-11:30
Conclusion
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