PostDoctoral Research Fellowship

博士后研究奖学金

• 批准号: 1802902
• 负责人: Daniel Bernstein
• 金额: $ 15万
• 依托单位: Bernstein Daniel I
• 依托单位国家: 美国
• 项目类别: Fellowship Award
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-07-01 至 2022-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1802902&HistoricalAwards=false
• 关键词: PostDoctoral; Research; Fellowship

This award is made as part of the FY 2018 Mathematical Sciences Postdoctoral Research Fellowships Program. Each of the fellowships supports a research and training project at a host institution in the mathematical sciences, including applications to other disciplines, under the mentorship of a sponsoring scientist. The title of the project for this fellowship to Daniel Bernstein is "Low-rank matrix completion in the context of algebraic statistics." The host institution for the fellowship is Massachusetts Institute of Technology, and the sponsoring scientist is Caroline Uhler.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.

该奖项是作为2018财年数学科学博士后研究奖学金计划的一部分。每项研究金在一名赞助科学家的指导下，支持在东道机构开展的数学科学研究和培训项目，包括应用于其他学科。该项目的标题为这个奖学金丹尼尔伯恩斯坦是“低秩矩阵完成的背景下，代数统计。该奖学金的主办机构是马萨诸塞州理工学院，赞助科学家是Caroline Uhler。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

The algebraic matroid of the finite unit norm tight frame (funtf) variety

有限单位范数紧框架 (funtf) 簇的代数拟阵

• DOI: 10.1016/j.jpaa.2020.106351
• 发表时间: 2020
• 期刊: Journal of Pure and Applied Algebra
• 影响因子: 0.8
• 作者: Bernstein, Daniel Irving;Farnsworth, Cameron;Rodriguez, Jose Israel
• 通讯作者: Rodriguez, Jose Israel

Typical and generic ranks in matrix completion

• DOI: 10.1016/j.laa.2019.09.001
• 发表时间: 2018-02
• 期刊: Linear Algebra and its Applications
• 影响因子: 1.1
• 作者: D. Bernstein;Grigoriy Blekherman;Rainer Sinn

L-Infinity Optimization to Bergman Fans of Matroids with an Application to Phylogenetics

L-Infinity 优化对 Bergman 拟阵粉丝的影响及其在系统发育学中的应用

• DOI: 10.1137/18m1218741
• 发表时间: 2020
• 期刊: SIAM Journal on Discrete Mathematics
• 影响因子: 0.8
• 作者: Bernstein, Daniel Irving

Ordering-based causal structure learning in the presence of latent variables

存在潜在变量时基于排序的因果结构学习

• 发表时间: 2020
• 期刊: Proceedings of the Twenty Third International Conference on Artificial Intelligence and Statistics
• 作者: Daniel Irving Bernstein;Basil Saeed;Chandler Squires;Caroline Uhler
• 通讯作者: Caroline Uhler

The Tropical Cayley--Menger Variety

热带凯利--门格尔品种

• DOI: 10.1137/19m1237582
• 发表时间: 2019
• 期刊: SIAM Journal on Discrete Mathematics
• 影响因子: 0.8
• 作者: Bernstein, Daniel I.;Krone, Robert
• 通讯作者: Krone, Robert