RTG: Geometry and Statistics
RTG:几何和统计
基本信息
- 批准号:1501767
- 负责人:
- 金额:$ 191.24万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Continuing Grant
- 财政年份:2015
- 资助国家:美国
- 起止时间:2015-09-01 至 2022-08-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Statistical tools for the analysis of heterogeneous data have become increasingly important, leading both to the prominence of the new field of data science and to a need for more researchers at all levels. This project will train the next generation of leaders in the field. The Statistics and Geometry Research Training Group (RTG) will provide gateways for students at the various academic levels: The program will fund undergraduate research programs to get students excited by research so that they see themselves pursuing a graduate career in statistics. Graduate students will have the opportunity to develop their own classes in the summer, providing them with a gateway to an academic career as they see themselves becoming teachers and mentors. Three newly created postdoctoral positions will train doctoral recipients with a strong quantitative background in the emerging field of data science. The common theme linking all the participants will be the use of geometric methods in statistics and their applications to high dimensional complex data in modern biology. The program is structured to maximize mentoring and interaction opportunities, providing each participant with a broad perspective of the state of the art in statistics through highly relevant courses and working groups in statistics and geometry and their applications to biology. A salient feature of the program is that it will develop both the intellectual breadth as well as the mentoring and communication skills of the participants. The program will allow more U.S. students to supplement their interests in mathematics, applied mathematics, or computer science with involvement in data science, which is a crucial current need in many areas of information technology. The progress made in the analysis of heterogeneous data will enhance medical discovery through improved visualization and geometrical representations as well as the possibility to assess levels of uncertainty in making decisions based on images or network data. Domains of application will include computational anatomy, neuroscience, immunology, and genomics. The methods developed will extend multivariate statistics where specific metrics (such as Fisher's Information metric, Mahalanobis distance, or L1) have already provided successful projections and geometric representations. Differential geometry will provide a rigorous framework that enables the incorporation of local information. The questions raised by using statistics on non-Euclidean varieties will be addressed in collaboration with computational geometers, statisticians, and mathematicians. Creating formal initiatives in geometry, statistics, and information science will bring new energy and focus into the curriculum, with mathematically grounded students encouraged to attack applied data analytic challenges. A key component of this initiative is outreach to women and minority students. Material and tools developed by the program will include open source visualization and approximations packages written in the R programming language.
用于分析异构数据的统计工具变得越来越重要,这不仅导致了数据科学新领域的突出地位,也导致了对各级研究人员的需求。该项目将培训该领域的下一代领导者。统计与几何研究培训小组 (RTG) 将为各个学术级别的学生提供门户:该计划将资助本科生研究项目,让学生对研究感到兴奋,从而让他们看到自己在统计学领域追求研究生职业。研究生将有机会在夏季开发自己的课程,为他们提供通往学术职业的门户,因为他们认为自己成为教师和导师。三个新设立的博士后职位将培养在新兴数据科学领域具有强大定量背景的博士生。连接所有参与者的共同主题是几何方法在统计学中的使用及其在现代生物学高维复杂数据中的应用。该计划旨在最大限度地提高指导和互动机会,通过统计和几何及其在生物学中的应用的高度相关的课程和工作组,为每个参与者提供统计领域最新技术的广阔视角。该计划的一个显着特点是,它将发展参与者的知识广度以及指导和沟通技巧。该项目将允许更多的美国学生通过参与数据科学来补充他们对数学、应用数学或计算机科学的兴趣,这是当前许多信息技术领域的关键需求。异构数据分析方面取得的进展将通过改进的可视化和几何表示以及评估基于图像或网络数据决策的不确定性水平的可能性来增强医学发现。应用领域包括计算解剖学、神经科学、免疫学和基因组学。开发的方法将扩展多元统计,其中特定度量(例如费舍尔信息度量、马哈拉诺比斯距离或 L1)已经提供了成功的预测和几何表示。微分几何将提供一个严格的框架,能够合并局部信息。使用非欧几里得簇统计数据提出的问题将与计算几何学家、统计学家和数学家合作解决。在几何、统计学和信息科学方面制定正式举措将为课程带来新的活力和重点,鼓励有数学基础的学生应对应用数据分析挑战。该倡议的一个关键组成部分是对女性和少数族裔学生的宣传。该计划开发的材料和工具将包括用 R 编程语言编写的开源可视化和近似包。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Susan Holmes其他文献
Have Alternative Methods Got a Place in the Treatment of Cancer ?
替代方法在癌症治疗中占有一席之地吗?
- DOI:
- 发表时间:
1992 - 期刊:
- 影响因子:0
- 作者:
Susan Holmes - 通讯作者:
Susan Holmes
Community-wide hackathons to identify central themes in single-cell multi-omics
- DOI:
10.1186/s13059-021-02433-9 - 发表时间:
2021-08-05 - 期刊:
- 影响因子:9.400
- 作者:
Kim-Anh Lê Cao;Al J. Abadi;Emily F. Davis-Marcisak;Lauren Hsu;Arshi Arora;Alexis Coullomb;Atul Deshpande;Yuzhou Feng;Pratheepa Jeganathan;Melanie Loth;Chen Meng;Wancen Mu;Vera Pancaldi;Kris Sankaran;Dario Righelli;Amrit Singh;Joshua S. Sodicoff;Genevieve L. Stein-O’Brien;Ayshwarya Subramanian;Joshua D. Welch;Yue You;Ricard Argelaguet;Vincent J. Carey;Ruben Dries;Casey S. Greene;Susan Holmes;Michael I. Love;Matthew E. Ritchie;Guo-Cheng Yuan;Aedin C. Culhane;Elana Fertig - 通讯作者:
Elana Fertig
General nurses' perceptions of palliative care.
普通护士对姑息治疗的看法。
- DOI:
10.12968/ijpn.1997.3.2.92 - 发表时间:
1997 - 期刊:
- 影响因子:1
- 作者:
Susan Holmes;S. Pope;D. Lamond - 通讯作者:
D. Lamond
A difficult clinical problem: diagnosis, impact and clinical management of cachexia in palliative care.
一个棘手的临床问题:姑息治疗中恶病质的诊断、影响和临床管理。
- DOI:
- 发表时间:
2009 - 期刊:
- 影响因子:1
- 作者:
Susan Holmes - 通讯作者:
Susan Holmes
The effects of undernutrition in hospitalised patients.
住院患者营养不良的影响。
- DOI:
- 发表时间:
2007 - 期刊:
- 影响因子:0
- 作者:
Susan Holmes - 通讯作者:
Susan Holmes
Susan Holmes的其他文献
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{{ truncateString('Susan Holmes', 18)}}的其他基金
EMSW21-VIGRE: Vertical Integration of Mathematics, Statistics and Applied Mathematics.
EMSW21-VIGRE:数学、统计学和应用数学的垂直整合。
- 批准号:
0502385 - 财政年份:2005
- 资助金额:
$ 191.24万 - 项目类别:
Continuing Grant
Computational Statistics For Phylogenetic Trees
系统发育树的计算统计
- 批准号:
0241246 - 财政年份:2003
- 资助金额:
$ 191.24万 - 项目类别:
Continuing Grant
Probability by Surprise: Animations and Simulations
惊喜概率:动画和模拟
- 批准号:
9996235 - 财政年份:1999
- 资助金额:
$ 191.24万 - 项目类别:
Standard Grant
The Exploration of Phylogenetic Tree Space through Combinatorics, Statistics and Geometry
通过组合学、统计学和几何学探索系统发育树空间
- 批准号:
9973891 - 财政年份:1999
- 资助金额:
$ 191.24万 - 项目类别:
Standard Grant
Probability by Surprise: Animations and Simulations
惊喜概率:动画和模拟
- 批准号:
9752559 - 财政年份:1998
- 资助金额:
$ 191.24万 - 项目类别:
Standard Grant
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CBMS Conference: Topological Data Analysis: Topology, Geometry and Statistics, May 23-27, 2016; Austin, TX
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