课题基金 / 基金详情

Institute for Mathematical and Statistical Innovation

Institute for Mathematical and Statistical Innovation
数学与统计创新研究所
批准号:
1929348
负责人:
Kevin Corlette
金额:
$1550.0万
依托单位:
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
2020
资助国家:
美国
项目状态:
未结题
起止时间:
2020-08-01 至 2025-07-31

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中文摘要
翻译
数学和统计创新研究所(IMSI)将数学和统计应用于紧迫,复杂的科学和社会问题,并促进数学科学界的转型变革。该研究所旨在促进新的数学和统计方法,以进一步了解复杂的现象和具有重大社会利益的问题。作为其使命的一部分,IMSI将促进这些进展迅速和有效地传播给数学科学研究界和更广泛的受众。IMSI还将培养新一代的数学家和统计学家,通过沉浸在数学科学内外所遇到的挑战中,推动多学科研究。所有的IMSI计划将促进数学科学的多样性和包容性,并参与有影响力的推广计划。IMSI将通过建立从数学和统计的核心学科到广泛的学科和应用的管道来应对社会面临的重大挑战,这些学科和应用需要数学和统计的见解来理解数据和计算密集型现象的动态。IMSI研究分支机构将沉浸在重大项目中,围绕主题组织,由气候预测,流行病学建模,经济危机,癌症标志物识别和神经处理等社会挑战驱动。来自跨学科应用的概念和技术挑战将推动数学和统计方法的发展,这些方法是迫切需要的,以理解这些系统的原理,并沿着量化预测的不确定性来做出准确的预测。IMSI的数学科学家将系统地接触并深入参与这些重大挑战。IMSI计划将汇集数学科学家和研究人员在这些领域的工作,以促进合作的重要问题,并丰富基础数学和统计。实现这一目标的一个机制是与工业界和国家实验室发展国家和国际合作与伙伴关系。 最初的长期计划将探索分布式决策过程和不确定性对社会科学有效模型发展的影响。 此外,研讨会还将探讨计算材料科学、机器学习任务的复杂性、基因组学中的降维方法、拓扑数据分析、医疗保健中的优化决策以及验证、确认、该奖项反映了NSF的法定使命,并通过使用基金会的知识价值和更广泛的影响审查标准。
英文摘要
The Institute for Mathematical and Statistical Innovation (IMSI) will apply mathematics and statistics to urgent, complex scientific and societal problems, and spur transformational change in the mathematical sciences communities. The Institute aims to catalyze new mathematical and statistical approaches to further understanding of complex phenomena and issues of great societal interest. As part of its mission, IMSI will facilitate rapid and effective dissemination of these advances to both the mathematical sciences research community and broader audiences. IMSI will also train a new generation of mathematicians and statisticians equipped to advance multidisciplinary research through immersion in the challenges encountered within and beyond the mathematical sciences. All of the IMSI programs will foster diversity and inclusion in the mathematical sciences and engage in impactful outreach programs.IMSI will address major challenges facing society by building conduits from the core disciplines of mathematics and statistics to a broad range of disciplines and applications that need mathematical and statistical insights to understand the dynamics of data- and computation-intensive phenomena. IMSI research affiliates will immerse themselves in major projects, organized around themes, driven by societal challenges such as climate forecasting, epidemiological modeling, economic crises, cancer-marker identification, and neural processing. Conceptual and technical challenges from interdisciplinary applications will create the impetus to advance mathematical and statistical approaches that are urgently needed to understand the principles governing such systems and to make accurate predictions along with quantifying the uncertainty of the predictions. Mathematical scientists at IMSI will be systematically exposed to and deeply engaged with these grand challenges. IMSI programs will bring together mathematical scientists and researchers working in these fields to promote collaborations on important problems and to enrich fundamental mathematics and statistics. One mechanism for achieving this will be through the development of national and international collaborations and partnerships with industry and national labs. The initial long programs will explore distributed decision making processes and the impact of uncertainty in the development of effective models in the social sciences. In addition, workshops will explore topics such as computational materials science, the complexity of machine learning tasks, dimension reduction methods in genomics, topological data analysis, optimized decision making in health care, and the development of verification, validation, and uncertainty quantification methods across disciplines.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
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Collaborative Research: Conference: Mathematical Sciences Institutes Diversity Initiative
  • 批准号:
    2317571
  • 项目类别:
    Standard Grant
  • 资助金额:
    $18.26万
  • 财政年份:
    2024
  • 负责人:
    Kevin Corlette
  • 依托单位:
EMSW21-RTG: Graduate Education in Geometry and Topology at the University of Chicago
  • 批准号:
    0354270
  • 项目类别:
    Standard Grant
  • 资助金额:
    $60.0万
  • 财政年份:
    2004
  • 负责人:
    Kevin Corlette
  • 依托单位:
Ergodic Theory, Groups, and Geometry
  • 批准号:
    9988774
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $29.47万
  • 财政年份:
    2000
  • 负责人:
    Kevin Corlette
  • 依托单位:
Morse Theory, Harmonic Maps, and Poisson Structures
  • 批准号:
    9971721
  • 项目类别:
    Standard Grant
  • 资助金额:
    $15.75万
  • 财政年份:
    1999
  • 负责人:
    Kevin Corlette
  • 依托单位:
海外基金