4 papers
From Hyperbolic Geometry Back to Word Embeddings
Sultan Nurmukhamedov, Thomas Mach, Arsen Sheverdin +1
We choose random points in the hyperbolic disc and claim that these points are already word representations. However, it is yet to be uncovered which point corresponds to which wor…
Adaptive cross approximation for Tikhonov regularization in general form
Thomas Mach, Lothar Reichel, Marc Van Barel
Many problems in Science and Engineering give rise to linear integral equations of the first kind with a smooth kernel. Discretization of the integral operator yields a matrix, who…
Continuous Adaptive Cross Approximation for Ill-posed Problems with Chebfun
Abdulaziz Alqahtani, Thomas Mach, Lothar Reichel
The analysis of linear ill-posed problems often is carried out in function spaces using tools from functional analysis. However, the numerical solution of these problems typically…
Pole-swapping algorithms for alternating and palindromic eigenvalue problems
Thomas Mach, Thijs Steel, Raf Vandebril +1
Pole-swapping algorithms are generalizations of bulge-chasing algorithms for the generalized eigenvalue problem. Structure-preserving pole-swapping algorithms for the palindromic a…