Statistical and Applied Mathematical Sciences Institute

DMS 0635449首席研究员：James O.BergerSAMSI是一个国家研究所，它将通过催化创造必要的理论和方法来应对我们时代由中心数据和模型驱动的科学挑战，从而深刻影响统计和数学科学以及整个科学的未来。SAMSI将专注于统计科学、应用数学和学科科学的新综合。为了说明这一愿景，考虑一项对现代科学和技术至关重要的活动，并将与SAMSI密切合作：复杂物理过程的数值模拟。开发数值模型并评估它们与现实的逼真度需要融合来自多个学科的知识。应用数学建立在规律性理解的基础上，以构建过程确定性方面的精细数字表示；概率提供概念和洞察力来表征过程的随机元素；统计学提供将这些结构与真实世界过程的观测数据联系起来的机制。但是，尽管有多种针对具体情况的进展，目前还没有将这些学科结合在一起的通用框架，更不用说同时应用它们的正式系统了。SAMSI在这方面的努力将侧重于填补这一空白，将来自全国(和其他地区)的统计学家、数学家和模型师聚集在一起，在跨越多种应用背景的高水平上建立模型开发和验证框架。为了进行统计科学、应用数学科学和学科科学的综合，SAMSI聘请了来自学术界、工业界、国家实验室和政府的知名研究人员以及职业生涯中形成阶段的年轻研究人员(博士后和研究生)。每个研究项目持续6个月到一年，涉及一系列活动，从密集的跨学科工作组的研究到广泛的、充满活力的研讨会。对本科生、高中教师和教学机构教职员工的接触扩大了SAMSI对国家科学人力资源基础的基本发展的影响。为了能够开展成功开展SAMSI所需的广度和深度的活动，该研究所是国家科学基金会与杜克大学、北卡罗来纳州立大学、北卡罗来纳大学教堂山分校和国家统计科学研究所的联合体之间的伙伴关系。这些合作伙伴为萨姆西的国家范围提供了独特的强大基础。对SAMSI的科学投入部分来自由杰出的统计和数学家组成的国家咨询委员会。最重要的是，SAMSI将通过广泛宣传的机会，向SAMSI提出问题，或引导SAMSI关注他们，从而吸引整个统计和数学科学界的参与。

AbstractDMS 0635449Principal Investigator: James O. BergerSAMSI is a national institute that will deeply impact the futureof the statistical and mathematical sciences and, through them,science in general, by catalyzing creation of the theory andmethodology necessary to confront the central data- andmodel-driven scientific challenges of our time. SAMSI will focuson new syntheses of the statistical sciences, applied mathematicsand disciplinary science. To illustrate the vision, consider anactivity central to modern science and technology, and with whichSAMSI will be heavily engaged: numerical modeling of complexphysical processes. Developing numerical models and evaluatingtheir fidelity to reality requires merging knowledge frommultiple disciplines. Applied mathematics builds on disciplinaryunderstanding to construct a fine-detail numerical representationof the deterministic aspects of a process; probability providesconcepts and insight to characterize stochastic elements of theprocess; and statistics provides the mechanisms to relate theseconstructs to observational data on the real-world process. But,despite a multiplicity of context-specific advances, there iscurrently no general framework for combining these disciplines,much less a formal system for simultaneously applying them. TheSAMSI efforts in this direction will focus on filling this gap,by bringing together statisticians, mathematicians and modelersfrom across the country (and beyond) to establish frameworks formodel development and validation, at a high level that spansmultiple application contexts.To carry out this synthesis of the statistical sciences, appliedmathematical sciences and disciplinary sciences, SAMSI engagesestablished researchers - from academia, industry, nationallaboratories and government - as well as young researchers(postdoctoral fellows and graduate students) at the formativestages of their careers. Each research program lasts from 6months to one year, and involves a host of activities rangingfrom research by intensive interdisciplinary working groups tobroad, energizing workshops. Outreach to undergraduate students,high-school teachers and faculty from teaching institutionsextends SAMSI's impact on the essential development of thenational human resource base for science. To enable activities ofthe breadth and depth necessary for the success of SAMSI, theinstitute is a partnership between the National ScienceFoundation and the consortium of Duke University, North CarolinaState University, the University of North Carolina at Chapel Hilland the National Institute of Statistical Sciences. Thesepartners provide a uniquely strong base for SAMSI's nationalscope. Scientific input to SAMSI comes, in part, from a NationalAdvisory Council composed of eminent statistical and mathematicalscientists. Most important, SAMSI will engage the entirenationwide statistical and mathematical sciences communities, bymeans of widely publicized opportunities to bring problems toSAMSI, or direct SAMSI's attention to them.