Oren Mangoubi

collaborators

2 papers

math.ST2024★ 1 cited

Singular Subspace Perturbation Bounds via Rectangular Random Matrix Diffusions

Peiyao Lai, Oren Mangoubi

Given a matrix $A \in R^{m \times d}$ with singular values $σ_{1} \geq \dots \geq σ_{d}$ , and a random matrix $G \in R^{m \times d}$ with iid $N (0, T)$ entries for some…

cs.DS2022

Private Matrix Approximation and Geometry of Unitary Orbits

Oren Mangoubi, Yikai Wu, Satyen Kale +2

Consider the following optimization problem: Given $n \times n$ matrices $A$ and $Λ$ , maximize $⟨ A, U Λ U^{*} ⟩$ where $U$ varies over the unitary group $U (n)$ . Th…