We use a multidimensional signal representation that integrates diffusion Magnetic Resonance Imaging (dMRI) and tractography (brain connections) using sparse tensor decomposition. The representation encodes brain connections ...

This paper focuses on the equidimensional decomposition of affine varieties defined by sparse polynomial systems. For generic systems with fixed supports, we give combinatorial conditions for the existence of positive ...

In a series of four papers we prove the following relaxation of the Loebl–Koml ́os–S ́os Con-jecture: For everyα >0 there exists a numberk0such that for everyk > k0everyn-vertexgraphGwith at least (12+α)nvertices of degree ...

We prove sparse bounds for the spherical maximal operator of Magyar, Stein and Wainger. The bounds are conjecturally sharp, and contain an endpoint estimate. The new method of proof is inspired by ones by Bourgain and ...

This is the second of a series of four papers in which we prove the following relaxation of the Loebl-Komlós-Sós conjecture: For every α > 0 there exists a number k0 such that for every k > k0, every n-vertex graph ...

In many machine learning applications, measurements are sometimes incomplete or noisy resulting in missing features. In other cases, and for different reasons, the datasets are originally small, and therefore, more data ...

Despite its solid mathematical background, the standard Calderón preconditioning for the electric field integral equation scales poorly with respect to the mesh refinement due to its construction over barycentric meshes. ...