Long Programs

Clay Lecture Series: Introduction to Border Rank Lower Bounds (Part 1 of 3)

Tensor ring decomposition

Mathematical Aspects of Tensor Networks (Part 3)

Clay Lecture Series: Introduction to Border Rank Lower Bounds (2 of 3)

Notions of Orthogonality for Tensors

Boolean Circuit Lower Bounds via Tensor rank and Partial Differential Encoding Boolean Functions

On the geometry of geometry rank

Clay Lecture Series: Introduction to Border Rank Lower Bounds (3 of 3)

A generalization of Kruskal's theorem

Existence of best low rank tensor approximations

Eigenvectors and singular t-ples of tensors lie on critical space

Clay Lectures Homework Problem Session 3 (Led by Chia-Yu Chang, Runshi Geng, and Arpan Pal)

On tensors which are determined by their singular tuples

Geometry of configurations of points and symmetric rank.

Iterative Power Algorithm for Global Optimization with Quantics Tensor Trains

The condition number of tensor CPD - Probabilistic analysis (40 min + discussion)

Riemannian optimization for the tensor rank decomposition (40 min + discussion)

Tensor Isomorphism in its various incarnations (50 min + discussion)

The linear span of cyclically invariant matrix product states

Expanding the Spectral Toolkit to third order hypermatrices (45 mins + discussion)

Symmetric Tensor Decomposition with Subspace Power Method (50 mins + Q&A)