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pro vyhledávání: '"Han,Yi"'
Autor:
Han, Yi
We consider the convergence of ESD for non-Hermitian random band matrices with independent entries to the circular law, where the bandwidth scales like $n^\gamma$ and $n$ is the matrix size. We prove that the circular law limit holds provided that $\
Externí odkaz:
http://arxiv.org/abs/2410.16457
Autor:
Han, Yi, Lee, Thomas C. M.
This paper introduces the novel piecewise stationary covariate-assisted ranking estimation (PS-CARE) model for analyzing time-evolving pairwise comparison data, enhancing item ranking accuracy through the integration of covariate information. By part
Externí odkaz:
http://arxiv.org/abs/2408.13642
Autor:
Han, Yi
In this work we consider general non-Hermitian square random matrices $X$ that include a wide class of random band matrices with independent entries. Whereas the existence of limiting density is largely unknown for these inhomogeneous models, we show
Externí odkaz:
http://arxiv.org/abs/2408.00567
Autor:
Han, Yi
We revisit the problem of perturbing a large, i.i.d. random matrix by a finite rank error. It is known that when elements of the i.i.d. matrix have finite fourth moment, then the outlier eigenvalues of the perturbed matrix are close to the outlier ei
Externí odkaz:
http://arxiv.org/abs/2407.21543
The balance between exploration (Er) and exploitation (Ei) determines the generalization performance of the particle swarm optimization (PSO) algorithm on different problems. Although the insufficient balance caused by global best being located near
Externí odkaz:
http://arxiv.org/abs/2406.16500
Autor:
Han, Yi
Let $A_n$ be an $n\times n$ random symmetric matrix with $(A_{ij})_{i< j}$ i.i.d. mean $0$, variance 1, following a subGaussian distribution and diagonal elements i.i.d. following a subGaussian distribution with a fixed variance. We investigate the j
Externí odkaz:
http://arxiv.org/abs/2405.04999
Opinion dynamics models are important in understanding and predicting opinion formation processes within social groups. Although the weighted-averaging opinion-update mechanism is widely adopted as the micro-foundation of opinion dynamics, it bears a
Externí odkaz:
http://arxiv.org/abs/2404.16318
We investigate the topological properties of a two-chain quantum ladder with uneven legs, i.e. the two chains differ in their periods by a factor of two. Such an uneven ladder presents rich band structures classified by the closure of either direct o
Externí odkaz:
http://arxiv.org/abs/2404.01097
Autor:
Han, Yi
Given $A_n:=\frac{1}{\sqrt{n}}(a_{ij})$ an $n\times n$ symmetric random matrix, with elements above the diagonal given by i.i.d. random variables having mean zero and unit variance. It is known that when $\lim_{x\to\infty}x^4\mathbb{P}(|a_{ij}|>x)=0$
Externí odkaz:
http://arxiv.org/abs/2402.05590
Autor:
Wang, Xiang, Wang, Renzhi, Hu, Ningzi, Wang, Pinqiang, Huo, Peng, Wang, Guihua, Wang, Huizan, Wang, Senzhang, Zhu, Junxing, Xu, Jianbo, Yin, Jun, Bao, Senliang, Luo, Ciqiang, Zu, Ziqing, Han, Yi, Zhang, Weimin, Ren, Kaijun, Deng, Kefeng, Song, Junqiang
The leading operational Global Ocean Forecasting Systems (GOFSs) use physics-driven numerical forecasting models that solve the partial differential equations with expensive computation. Recently, specifically in atmosphere weather forecasting, data-
Externí odkaz:
http://arxiv.org/abs/2402.02995