124 citations · 493 across the 32 of their papers we have counts for
5 papers · 2 filters
Symmetrization of Principal Minors and Cycle-Sums
Huajun Huang, Luke Oeding
We solve the Symmetrized Principal Minor Assignment Problem, that is we show how to determine if for a given vector there is an matrix that has al…
Decomposing Tensors into Frames
Luke Oeding, Elina Robeva, Bernd Sturmfels
A symmetric tensor of small rank decomposes into a configuration of only few vectors. We study the variety of tensors for which this configuration is a unit norm tight frame.
Equations for the fifth secant variety of Segre products of projective spaces
Luke Oeding, Steven V Sam
We describe a computational proof that the fifth secant variety of the Segre product of five copies of the projective line is a codimension 2 complete intersection of equations of…
The Quadrifocal Variety
Luke Oeding
Multi-view Geometry is reviewed from an Algebraic Geometry perspective and multi-focal tensors are constructed as equivariant projections of the Grassmannian. A connection to the p…
Homotopy techniques for tensor decomposition and perfect identifiability
Jonathan D. Hauenstein, Luke Oeding, Giorgio Ottaviani +1
Let T be a general complex tensor of format . When the fraction is an integer, and a natural inequality (called balancedness) is satis…