Kexin Yu

collaborators

4 papers

eess.AS2026

VM-ARRAYDPS: Virtual Microphone Augmented Diffusion Posterior Sampling for Unsupervised Blind Speech Separation

Jingqi Sun, Haozhan Tang, Shulin He +1

Blind Source Separation(BSS) is a fundamental problem in signal processing, aiming to separate multiple source signals from their mixtures without prior knowledge of the sources or…

math.PR2026

Large corank of dense random regular digraphs

Huaijin Liang, Kexin Yu, Tingzhou Yu

Let $1 \leq k \leq n$ and let $A$ be the adjacency matrix of a uniformly random $d$ -regular directed graph on $n$ vertices. Suppose that $λn \leq d \leq (1 - λ) n$ for a fixed $0 < λ \leq 1/2$ .…

math.PR2026

Rank and Invertibility of Dense Signed Random Regular Matrices

Huaijin Liang, Yuxiao Shi, Kexin Yu +1

Let $A$ be the (non-symmetric) adjacency matrix of a uniformly random $d$ -regular directed graph on $n$ vertices, and let $Ξ$ be independent of $A$ with i.i.d. Rademacher entries.…

math.PR2025

The smallest singular value of sparse discrete random matrices

Kexin Yu

Let $M_{n}$ be an $n \times n$ random matrix with i.i.d. sparse discrete entries. In this paper, we develop a simple framework to solve the approximate Spielman-Teng theorem for $M_n…