6 papers
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…
Sharp singularity asymptotics for discrete random matrices
Xuanang Hu, Zeyan Song, Xinglong Wu
We resolve the Rademacher singularity conjecture: an matrix with independent uniform entries is singular with probability . More generally…
Rank deficiency of Bernoulli random matrices for growing corank
Zeyan Song, Hanchao Wang
Let A be an n x n Bernoulli random matrix whose entries are i.i.d. Bernoulli(p) random variables. In this paper, we determine the probability that the corank of A is at least k whe…
The eigenvalue gap of inhomogeneous symmetric discrete random matrix
Zeyan Song, Hanchao Wang
Let A be an n x n symmetric random matrix whose upper-triangular entries are independent and follow possibly non-identical subgaussian distributions. This paper investigates the sp…
The Rank and Singular Values of the Inhomogeneous Subgaussian Random Matrices
Guozheng Dai, Zeyan Song, Hanchao Wang
Let A be an n*n random matrix with mean zero and independent inhomogeneous non-constant subgaussian entries. We get that for any k<c\sqrt{n}, the probability of the matrix has a lo…
Sensitivity-Improved Polarization Maps at 40 GHz with CLASS and WMAP data
Rui Shi, John W. Appel, Charles L. Bennett +18
Improved polarization measurements at frequencies below 70 GHz with degree-level angular resolution are crucial for advancing our understanding of the Galactic synchrotron radiatio…