Zobrazeno 1 - 10
of 152
pro vyhledávání: '"Xu, Xiaocong"'
In this paper, we consider the rectangular random matrix $X=(x_{ij})\in \mathbb{R}^{N\times n}$ whose entries are iid with tail $\mathbb{P}(|x_{ij}|>t)\sim t^{-\alpha}$ for some $\alpha>0$. We consider the regime $N(n)/n\to \mathsf{a}>1$ as $n$ tends
Externí odkaz:
http://arxiv.org/abs/2409.01819
Approximate message passing (AMP) has emerged both as a popular class of iterative algorithms and as a powerful analytic tool in a wide range of statistical estimation problems and statistical physics models. A well established line of AMP theory pro
Externí odkaz:
http://arxiv.org/abs/2312.05911
In this paper, we study the smallest non-zero eigenvalue of the sample covariance matrices $\mathcal{S}(Y)=YY^*$, where $Y=(y_{ij})$ is an $M\times N$ matrix with iid mean $0$ variance $N^{-1}$ entries. We prove a phase transition for its distributio
Externí odkaz:
http://arxiv.org/abs/2308.09581
Autor:
Han, Qiyang, Xu, Xiaocong
The Ridgeless minimum $\ell_2$-norm interpolator in overparametrized linear regression has attracted considerable attention in recent years. While it seems to defy the conventional wisdom that overfitting leads to poor prediction, recent research rev
Externí odkaz:
http://arxiv.org/abs/2307.02044
Autor:
Bao, Zhigang, Xu, Xiaocong
In this paper, we consider the log-concave ensemble of random matrices, a class of covariance-type matrices $XX^*$ with isotropic log-concave $X$-columns. A main example is the covariance estimator of the uniform measure on isotropic convex body. Non
Externí odkaz:
http://arxiv.org/abs/2212.11634
A fundamental concept in multivariate statistics, sample correlation matrix, is often used to infer the correlation/dependence structure among random variables, when the population mean and covariance are unknown. A natural block extension of it, {\i
Externí odkaz:
http://arxiv.org/abs/2207.06107
Publikováno v:
In Applied Energy 1 July 2024 365
Publikováno v:
In ISPRS Journal of Photogrammetry and Remote Sensing October 2024 216:240-258
Publikováno v:
In Landscape and Urban Planning October 2024 250
Autor:
Shi, Qian, Qin, Xiaolei, Sun, Lingyu, Shen, Zitao, Liu, Xiaoping, Xu, Xiaocong, Tian, Jiaxin, Liu, Rong, Marinoni, Andrea
Global forest cover is critical to the provision of certain ecosystem services. With the advent of the google earth engine cloud platform, fine resolution global land cover mapping task could be accomplished in a matter of days instead of years. The
Externí odkaz:
http://arxiv.org/abs/2108.04173