Conference and Summer School: Algebraic Statistics in the Alleghenies

“会议和暑期学校：阿勒格尼的代数统计”活动将于2012年6月9日至15日在宾夕法尼亚州立大学大学园区举行(网址：http://www.math.psu.edu/morton/aspsu2012/).代数统计学利用代数几何及其相关领域来解决统计学及其应用中的问题。代数统计方法已被成功地应用于许多问题，包括马尔可夫基的构造、系统发育混合模型的理论研究、生态学推理、图形模型的可辨识性问题、贝叶斯积分和奇异学习理论、社会网络和合并理论。除了代数统计学在解决统计问题上的成功之外，它的研究目标还推动了代数的理论发展。传统上，应用数学侧重于包括微分方程和分析在内的数学分支。取而代之的是，代数统计学提倡代数几何，这是一个发展成熟的古老的数学领域，作为解决统计及其应用中的问题的工具。许多统计模型具有代数变体的结构。这一观察结果在过去15年里促进了这一领域的快速增长。随着时间的推移，很明显，代数结构在统计学中无处不在。因此，来自代数的高级工具有益地解决了统计问题。这笔赠款的目的是支持2012年6月9日至15日在宾夕法尼亚州立大学阿勒格尼举行的为期七天的会议和暑期学校代数统计。预计将有100多人参加，这将使这将成为迄今为止在美国或国外举行的关于代数统计的最大规模的会议。

The event "Conference and Summer School: Algebraic Statistics in the Alleghenies" will be held at the Pennsylvania State University, University Park, PA, from June 9 to 15, 2012 (URL: http://www.math.psu.edu/morton/aspsu2012/). Algebraic statistics exploits algebraic geometry and related fields to solve problems in statistics and its applications. Methods from algebraic statistics have been successfully applied to address many problems including construction of Markov bases, theoretical study of phylogenetic mixture models, ecological inference, identifiability problems for graphical models, Bayesian integrals and singular learning theory, social networks, and coalescent theory. In addition to algebraic statistics' successes in solving statistical problems, its research objectives have driven theoretical developments in algebra.Traditionally, applied mathematics has focused on branches of mathematics including differential equations and analysis. Instead, algebraic statistics advocates algebraic geometry, a well-developed and ancient field of mathematics, as a tool for solving problems in statistics and its applications. Many statistical models have the structure of algebraic varieties. This observation catalyzed rapid growth in this area over the past fifteen years. Over this time it has become clear that algebraic structures are ubiquitous in statistics. Hence advanced tools from algebra profitably address statistical questions. The purpose of this grant is to support a seven day conference and summer school Algebraic Statistics in the Alleghenies at the Pennsylvania State University, June 9-15, 2012. More than 100 participants are anticipated, which would make this the largest meeting yet on Algebraic Statistics that had been held in the US or abroad.