EXTREEMS-QED: Computational and Statistical theory and techniques in the study of large data sets

威廉与玛丽学院提出的extreme - qed项目是一个综合项目，旨在培训、研究和教育数学专业学生，以提高他们应对计算和数据驱动科学与工程（CDS&amp；E）新挑战的能力。数据驱动和数据密集型的教学模块和材料将嵌入到线性代数、统计学、概率论和数据分析课程中。将开设复杂网络、图形模型、统计学中的矩阵和图论技术、量子图、拓扑技术和数据分析、生物学和海洋科学中的生物信息学和自组织等新课程。其中一些课程最终将被纳入正规课程。学生的研究将集中在两个领域：(i)图论、统计学、矩阵理论、运筹学和新兴网络科学的交叉；（ii）时空模式的形成、检测和识别需要微分方程、统计学、动力系统和计算拓扑的混合。新的理论结果将形成并与从医学、生态学和海洋科学研究中收集的大型数据集相关联。该计划包括一个为期八周的夏季研究部分，本科生和教师顾问组成跨学科研究团队，就各种理论和应用科学问题开展项目。为不同学科的教师举办的系列讲座和学习小组将使他们的cds&&e知识重新焕发活力，而学生研讨会、学术讨论会系列和短期课程将为学生和公众开辟cds&&e研究的新视野。计划中的活动以威廉玛丽大学数学系为中心，但也包括应用科学系、生物系、物理系和弗吉尼亚海洋科学研究所的合作者。我们将利用相关教师的专业知识和经验，通过CDS&amp；E的研究培养学生，为他们在科学和数学方面的研究生学习做好准备，或者为工业或国家实验室中需要计算和数据分析技能的专业做好准备。这些培训和教育计划将为大量数学专业的本科生提供必要的知识，以应对未来在计算和数据科学与工程领域的职业挑战。学生将接触到数据驱动计算问题的理论和实践方面，这将吸引并准备他们继续研究生学习和相关职业。新发现的成果和技术将在不同学科的会议/期刊上发表，在科学界产生持续和更广泛的影响，对医学、生态学、分子生物学和海洋科学数据集的分析将导致这些研究前沿的新进展。拟议的研讨会、讲座和课程将向公众开放，以便他们能够跟踪大数据分析的新科学进展。与弗吉尼亚东南部几所历史悠久的黑人学院和大学，包括弗吉尼亚州立大学、汉普顿大学和诺福克州立大学的合作，将把这些机构的少数民族学生和教师顾问带到威廉玛丽学院，参加拟议的活动和联合暑期研究项目，这将有助于实现奥巴马总统2010年关于促进卓越、创新、传统黑人学院和大学的可持续发展。

The proposed EXTREEMS-QED program at the College of William and Mary is an integrated program for the training, research and education of mathematics majors to enhance their ability to deal with new challenges in computational and data-enabled science and engineering (CDS&E). Data-driven and data-intensive teaching modules and material will be embedded into courses in linear algebra, statistics, probability and data analysis. New courses in complex networks, graphical models, matrix and graph theory techniques in statistics, quantum graphs, topological techniques and data analysis, bioinformatics and self-organization in biology and marine science will be developed. Some of these courses will eventually be integrated into the regular curriculum. Student research will focus on two areas:(i) the intersection of graph theory, statistics, matrix theory, operations research, and newly emerged networks science; and (ii) spatiotemporal pattern formation, detection and recognition requiring a blending of differential equations, statistics, dynamical systems, and computational topology. New theoretical results will be formulated and connected to large data sets collected from research in medical science, ecology, and marine science.The proposed program includes an eight-week summer research component in which undergraduate students and faculty advisers form interdisciplinary research teams to work on projects on various theoretical and applied scientific problems. Seminar series and study groups for faculty members from different disciplines will reinvigorate their CDS&E knowledge, and student seminars, colloquium series and short courses will open up new horizons of CDS&E research to the students and the general public. The planned activities are centered in the Department of Mathematics at William & Mary, but also involve collaborators in the departments of Applied Science, Biology, Physics and Virginia Institute of Marine Science. We will use the expertise and experience of the faculty involved to train students through research in CDS&E to prepare them for graduate study in the sciences and mathematics, or for professions which require computational and data analysis skills in industry or the national laboratories. The training and educational programs will equip a large number of undergraduate mathematics majors with knowledge necessary for future career challenges in computational and data-enabled science and engineering. Students will be exposed to the theoretical and practical aspects of data-driven computational problems, which will attract and prepare them to pursue graduate study and related careers. The new results and techniques discovered will be presented and published in conferences/journals of various disciplines to have sustained and wider impact in the science community, and the analysis of data sets from medical science, ecology, molecular biology and marine science will lead to new advances in these research frontiers. Proposed seminars, lectures, and courses will be open to the general public so they can keep track of new scientific progress in big data analysis. A partnership with several southeast Virginia historically black colleges and universities including Virginia State University, Hampton University, and Norfolk State University will bring minority students and faculty advisers from these institutions to William & Mary for the proposed activities and joint summer research program, which will help to achieve the goal of President Obama's 2010 Executive Order on Promoting Excellence, Innovation, and Sustainability at Historically Black Colleges and Universities.