Conference and Summer School: Algebraic Statistics in the Alleghenies

“会议和暑期学校：阿勒格尼地区的代数学统计”活动将于2012年6月9日至15日在宾夕法尼亚州大学公园的宾夕法尼亚州立大学举行（网址：http：//www.math.psu.edu/morton/aspsu2012/）。代数统计学利用代数几何和相关领域来解决统计及其应用中的问题。代数统计学的方法已经成功地应用于解决许多问题，包括马尔可夫基的构建，系统发育混合模型的理论研究，生态推理，可识别性问题的图形模型，贝叶斯积分和奇异学习理论，社交网络，和结合理论。除了代数统计在解决统计问题上的成功外，它的研究目标也推动了代数理论的发展。传统上，应用数学集中在数学的分支，包括微分方程和分析。 相反，代数统计提倡代数几何，一个发展良好的和古老的数学领域，作为解决统计及其应用问题的工具。 许多统计模型具有代数簇的结构。 这一发现推动了该领域在过去15年中的快速发展。 在这段时间里，代数结构在统计学中无处不在已经变得很清楚。 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在宾夕法尼亚州州立大学，2012年6月9日至15日在阿勒格尼为期七天的会议和暑期学校代数统计。预计将有100多名与会者参加，这将是迄今为止在美国或国外举行的最大的代数统计会议。

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.