Collaborative Research: RUI: HNDS-R: Stepping out of flatland: Complex networks, topological data analysis, and the progress of science
合作研究:RUI:HNDS-R:走出平地:复杂网络、拓扑数据分析和科学进步
基本信息
- 批准号:2318171
- 负责人:
- 金额:$ 14.31万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2023
- 资助国家:美国
- 起止时间:2023-09-01 至 2026-08-31
- 项目状态:未结题
- 来源:
- 关键词:
项目摘要
Scientific progress is measured by the number of new discoveries that scientists make. As science advances, the amount of prior knowledge that researchers must master to push the frontiers of science forward has increased dramatically. Consequently, scientific breakthroughs are harder to achieve. This project uses innovative mathematical tools to study how the changing scale and scope of knowledge and the social organization of science might be slowing the pace of scientific discovery. Being able to identify what encourages (and, conversely, stifles) scientific advances is important for making good decisions about future science policy, determining funding priorities, and figuring out how scientific work can best be organized. Because the increasing “burden of knowledge” required for scientific progress has made it more difficult for individual scientists to make new discoveries, the creation of larger and more diverse research teams of experts devoted to solving complex scientific problems has become common. This “divide and conquer” interdisciplinary approach has been very effective, but there is still much to learn about how knowledge growth slows discovery rates and what the ameliorating or exacerbating effects of changes in the social organization of science are. This project builds on the NSF-supported ExHACT project by applying mathematical tools drawn from topological data analysis to analyze large scale bibliometric data and data on grant payments from the UMETRICS project. These tools permit the examination of the topological structure and dynamics of concept networks that capture "what science knows," "what it wants to know," and "what scientists currently have the propensity to know." The project will help identify the factors that affect the rate and character of new discoveries, whether the discovery rate is affected by changes in research funding or the organization of scientific work, and how these effects vary across time and fields of inquiry.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.
科学进步是以科学家们新发现的数量来衡量的。 随着科学的进步,研究人员必须掌握的先验知识的数量急剧增加,以推动科学前沿的发展。因此,科学突破更难实现。该项目使用创新的数学工具来研究不断变化的知识规模和范围以及科学的社会组织如何减缓科学发现的步伐。能够确定什么鼓励(反之,什么扼杀)科学进步,对于制定未来科学政策的正确决策、确定资助优先事项以及弄清楚如何最好地组织科学工作非常重要。由于科学进步所需的“知识负担”日益增加,科学家个人更难做出新的发现,因此,成立更大、更多样化的专家研究团队,致力于解决复杂的科学问题,已成为一种普遍现象。 这种“分而治之”的跨学科方法非常有效,但关于知识增长如何减缓发现速度以及科学社会组织变化的改善或加剧影响,仍有很多东西需要了解。 该项目建立在NSF支持的ExHACT项目的基础上,通过应用拓扑数据分析得出的数学工具来分析UMETRICS项目的大规模文献计量数据和赠款支付数据。 这些工具允许检查概念网络的拓扑结构和动态,这些概念网络捕获“科学知道什么”,“科学想知道什么”和“科学家目前倾向于知道什么”。“该项目将有助于确定影响新发现的速度和特征的因素,发现率是否受到研究资金或科学工作组织变化的影响,以及这些影响如何随时间和调查领域而变化。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进行评估,被认为值得支持。
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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Lori Ziegelmeier其他文献
An application of persistent homology on Grassmann manifolds for the detection of signals in hyperspectral imagery
格拉斯曼流形上持久同源性的应用用于高光谱图像信号检测
- DOI:
- 发表时间:
2015 - 期刊:
- 影响因子:0
- 作者:
Sofya Chepushtanova;M. Kirby;C. Peterson;Lori Ziegelmeier - 通讯作者:
Lori Ziegelmeier
Local Versus Global Distances for Zigzag Persistence Modules
Zigzag 持久性模块的本地距离与全球距离
- DOI:
- 发表时间:
2019 - 期刊:
- 影响因子:0
- 作者:
Ellen Gasparovic;Maria Gommel;Emilie Purvine;R. Sazdanovic;Bei Wang;Yusu Wang;Lori Ziegelmeier - 通讯作者:
Lori Ziegelmeier
Local Versus Global Distances for Zigzag and Multi-Parameter Persistence Modules
Zigzag 和多参数持久性模块的本地距离与全局距离
- DOI:
- 发表时间:
2021 - 期刊:
- 影响因子:0
- 作者:
Ellen Gasparovic;Maria Gommel;Emilie Purvine;R. Sazdanovic;Bei Wang;Yusu Wang;Lori Ziegelmeier - 通讯作者:
Lori Ziegelmeier
U-match factorization: sparse homological algebra, lazy cycle representatives, and dualities in persistent (co)homology
U 匹配分解:稀疏同调代数、惰性循环代表以及持久(共)同调中的对偶性
- DOI:
- 发表时间:
2021 - 期刊:
- 影响因子:0
- 作者:
Haibin Hang;Chad Giusti;Lori Ziegelmeier;Gregory Henselman - 通讯作者:
Gregory Henselman
Persistent Homology on Grassmann Manifolds for Analysis of Hyperspectral Movies
用于高光谱电影分析的格拉斯曼流形的持久同源性
- DOI:
- 发表时间:
2016 - 期刊:
- 影响因子:0
- 作者:
Sofya Chepushtanova;M. Kirby;C. Peterson;Lori Ziegelmeier - 通讯作者:
Lori Ziegelmeier
Lori Ziegelmeier的其他文献
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{{ truncateString('Lori Ziegelmeier', 18)}}的其他基金
Collaborative Research: CDS&E-MSS: Exact Homological Algebra for Computational Topology
合作研究:CDS
- 批准号:
1854703 - 财政年份:2019
- 资助金额:
$ 14.31万 - 项目类别:
Standard Grant
CBMS Regional Research Conference on Topological Data Analysis
CBMS 拓扑数据分析区域研究会议
- 批准号:
1642637 - 财政年份:2017
- 资助金额:
$ 14.31万 - 项目类别:
Standard Grant
Workshop for Women in Computational Topology
计算拓扑学女性研讨会
- 批准号:
1619908 - 财政年份:2016
- 资助金额:
$ 14.31万 - 项目类别:
Standard Grant
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