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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Statistical Management Theory for Business Applications with Massive Scale
大规模 商业应用 统计管理
2023/12/11
这是一个大数据与人工智能的时代，催生了各种各样大规模商务新场景。新场景常常呈现出：大规模、大数据、大模型的特点。这些特点对统计学的理论与计算方法都提出了新挑战，也提供了新机遇。对此，我将通过三个具体的真实案例分享，希望从中能够总结典型的统计学科学问题，洞察未来可能的研究机遇。这三个案例分别来自：金融科技、视频直播、和智慧零售三个不同商务场景。其中科技金融案例将展示如何通过二维码聚合支付数据助力面向...
Exact Covariance Thresholding into Connected Components for Large-Scale Graphical Lasso
sparse inverse covariance selection sparsity graphical lasso Gaussian graphical models graph connected components concentration graph large scale covariance estimation
2015/8/21
We consider the sparse inverse covariance regularization problem or graphical lasso with regularization parameter λ. Suppose the sample covariance graph formed by thresholding the entries of the sampl...
Empirical Bayes Estimates for Large-Scale Prediction Problems
microarray prediction empirical Bayes shrunken centroids
2015/8/20
Classical prediction methods such as Fisher's linear discriminant function were designed for
small-scale problems, where the number of predictors N is much smaller than the number of
observations n....
Large-scale interval and point estimates from an empirical Bayes extension of confidence posteriors
Large-scale interval point estimates empirical Bayes
2011/1/4
The proposed approach extends the confidence posterior distribution to the semi-parametric empirical Bayes setting. Whereas the Bayesian posterior is defined in terms of a prior distribution condition...
Minimum description length methods of medium-scale simultaneous inference
Minimum description length methods medium-scale simultaneous inference
2010/12/16
Nonparametric statistical methods developed for analyzing data for high numbers of genes, SNPs, or other biological features tend to overfit data with smaller numbers of features such as proteins, met...