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差异性分析是生物医学研究中的一个重要问题。它旨在通过比较两组或多组样本数据之间的差异来识别影响复杂疾病或性状的基因、生物通路、微生物等。针对人类微生物组和水稻耐寒性的差异性分析问题,提出了自适应的分组聚合检验方法,给出了统计显著性的快速算法及其统计性质,利用多尺度分析方法有效地整合水稻耐寒性的两个性状,提出了群体分层校正方法并将其应用到水稻耐寒性的数据中,发现并验证了与水稻耐寒性相关联的基因COL...
We explore time-varying networks for high-dimensional locally stationary time series, using the large VAR model framework with both the transition and (error) precision matrices evolving smoothly over...
2022年12月28日,西安交通大学第八届丝绸之路青年学者研讨会数学与统计学院分论坛于线上成功召开。学院领导、系主任、相关系所教师、学生以及来自法国索邦大学、香港科技大学、匹兹堡大学、清华大学、北京大学等高校的六位青年学者出席本次论坛。论坛由院长孙建永教授主持。
This paper develops a novel method for policy choice in a dynamic setting where the available data is a multivariate time series. Building on the statistical treatment choice framework, we propose Tim...
In experimental design, a common problem seen in practice is when the result includes one binary response and multiple continuous responses. However, this problem receives scant attention. Most studie...
We propose a sequential method for implementing reconstruction regression. With a space-filling design of a small sample size, we use GP interpolation-based reconstruction regression to build initial ...
This paper is concerned with the factorization and equivalence problems of multivariate polynomial matrices. We present some new criteria for the existence of matrix factorizations for a class of mult...
在非线性期望下,随机过程与极限理论表现出了与经典概率空间完全不同的性质。比如,连续非增鞅不再是平凡过程;独立同分布随机变量序列的经验均值不再收敛到某个常数。本报告从Feynman-Kac公式出发,介绍非线性期望理论建立的动机,近期的主要进展,以及目前尚未解决的一些具有挑战性的问题。
This paper proposes a method to accelerate calculation for generalized linear models in big data. We separate the covariates of full model into several groups to build candidate models. In the process...
How to select the active variables which have significant impact on the event of interest is a very important and meaningful problem in the statistical analysis of ultrahigh-dimensional data. In many ...
Hypothesis testing on high-dimensional fixed effects is indispensable for investigating the utility of the predictors on response. In this case, the conventional frequentist methods designed for cases...
Consider to the Cauchy problem of the defocusing NLS equation with a nonzero background. With the Dbar steepest descent method and double scaling limit, we obtain Painleve asymptotics in two transitio...
Consider to the Cauchy problem of the defocusing NLS equation with a nonzero background. With the Dbar generalization of the nonlinear steepest descent method to compute the leading order approximatio...
In this talk, we will show several results for correlated nearest neighbor site percolation on Z^d. In particular, we will show that in three dimensions the strongly correlated massless harmonic cryst...
目前智能系统的应用非常广泛,智能系统包含了硬件与软件,及由各种传感器收集的各类数据,如何给系统建模与利用经典统计及数据驱动方法,有效预测及协助提高系统安全及可靠性是一个重要的实际问题。通过简单介绍一些早期可靠性与工业统计的研究及在研究生培养方面的经验,我们亦探讨有助于学生职业发展的学习研究方法,让科研及学生培养给社会做出更大的贡献。

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