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NSF-BSF: AF: Small: Geometric Realizations and Evolving Data

NSF-BSF：AF：小型：几何实现和不断变化的数据

基本信息

批准号：
1815073
负责人：
Michael Goodrich
金额：
$ 47.44万
依托单位：
University of California-Irvine
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2018
资助国家：
美国
起止时间：
2018-10-01 至 2022-09-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1815073&HistoricalAwards=false
关键词：
NSF BSF AF Small Geometric

项目摘要

This project involves an integrated study of geometric realizations and evolving data. Geometric realizations are structures that realize relationships combining combinatorial and geometric constraints, and evolving data captures ways in which data changes over time. Of particular interest are algorithmic challenges arising from geometric realizations and evolving data applications in society, including physics, data visualization, and on-line servicing of fast-changing data. A vital component of the project involves the involvement of students in research; hence, this project has the potential of bringing expanded educational and research opportunities for developing the next generation of information technology researchers. In addition, this project involves a collaboration between researchers in the United States and Israel, which is expected to foster further ties between these two countries.Specific topics of interest in this project include the following:* Stable-matching Voronoi diagrams, which are planar subdivisions determined by combining geometric constraints determined by distances involving a given set of points and combinatorial constraints based on matching preferences among these points.* Polyominoes, which are connected cells in an orthogonal lattice. These are often used to model percolation networks in physics.* Geometric graphs, which are representations of graphs using points for vertices and straight lines for edges.* Reactive data structures, which are efficient data representations that support data enable and disable operations along with queries.* Approximate representations, which are data configurations that provide good approximate solutions for data sets that are changing at a rate commensurate with the speed of the algorithm. For each of these and related topics, the goal of the research is to develop fast and efficient algorithms and data structures, based on exploiting methods from graph drawing, computational geometry, and theory of computation.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.

该项目涉及几何实现和不断演变的数据的综合研究。几何实现是实现组合约束和几何约束的关系的结构，不断演变的数据捕获数据随时间变化的方式。特别令人感兴趣的是几何实现和社会中不断发展的数据应用所产生的算法挑战，包括物理、数据可视化和快速变化的数据的在线服务。该项目的一个重要组成部分是让学生参与研究；因此，该项目有可能为培养下一代信息技术研究人员带来更多的教育和研究机会。此外，该项目涉及美国和以色列研究人员之间的合作，预计将促进这两个国家之间的进一步联系。该项目的具体感兴趣的主题包括：*稳定匹配Voronoi图，这是通过组合由涉及给定点集的距离确定的几何约束和基于这些点之间的匹配偏好的组合约束来确定的平面细分。*多项式，这是正交格中连接的单元。它们经常被用来在物理上模拟渗流网络。*几何图，这是使用点作为顶点和直线作为边的图形的表示。*反应式数据结构，它是支持数据启用和禁用操作以及查询的有效数据表示。*近似表示，它是为以与算法的速度相称的速度变化的数据集提供良好的近似解决方案的数据配置。对于这些主题和相关主题，研究的目标是基于图表绘制、计算几何和计算理论的开发方法，开发快速高效的算法和数据结构。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势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（11）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

Stable-matching Voronoi diagrams: Combinatorial complexity and algorithms

稳定匹配 Voronoi 图：组合复杂度和算法

DOI：
10.20382/jocg.v11i1a2
发表时间：
2020
期刊：
Journal of computational geometry
影响因子：
0.3
作者：
Gill Barequet, David Eppstein
通讯作者：
Gill Barequet, David Eppstein

Exact Learning of Multitrees and Almost-Trees Using Path Queries

DOI：
10.48550/arxiv.2208.04216
发表时间：
2022-08
期刊：
影响因子：
0
作者：
Ramtin Afshar;M. Goodrich
通讯作者：
Ramtin Afshar;M. Goodrich

Reconstructing Biological and Digital Phylogenetic Trees in Parallel

并行重建生物和数字系统发育树

DOI：
10.4230/lipics.esa.2020.3
发表时间：
2020
期刊：
ESA
影响因子：
0
作者：
Ramtin Afshar, Michael T.
通讯作者：
Ramtin Afshar, Michael T.

Diamonds are Forever in the Blockchain: Geometric Polyhedral Point-Set Pattern Matching

钻石在区块链中永远存在：几何多面体点集模式匹配

DOI：
发表时间：
2022
期刊：
Canadian Conference on Computational Geometry
影响因子：
0
作者：
Barequet, Gill;Fukuzawa, Shion;Goodrich, Michael;Mount, David;Osegueda, Martha;Ozel, Evrim
通讯作者：
Ozel, Evrim

Atomic Power in Forks: A Super-Logarithmic Lower Bound for Implementing Butterfly Networks in the Nonatomic Binary Fork-Join Model

分叉中的原子力：在非原子二元分叉连接模型中实现蝴蝶网络的超对数下界