In this paper, we study the matrix denoising model Y = S + X, where S is a low rank deterministic signal matrix and X is a random noise matrix, and both are M × n. In the scenario that M and n are ...

Given a vector space V of homogeneous polynomials of the same degree over an infinite field, consider a generic subspace W of V. The main result of this paper is a lower-bound (in general sharp) for ...

Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title On the invariant subspace problem in Hilbert spaces. The paper is just 13 pages long and its ...