Theoretical foundation of sublinear-time algorithms
亚线性时间算法的理论基础
基本信息
- 批准号:RGPIN-2015-03907
- 负责人:
- 金额:$ 2.48万
- 依托单位:
- 依托单位国家:加拿大
- 项目类别:Discovery Grants Program - Individual
- 财政年份:2015
- 资助国家:加拿大
- 起止时间:2015-01-01 至 2016-12-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Many areas of science are currently undergoing a dramatic transformation: with rapid advances in data collection technologies, molecular biologists can now measure the level of expression of every gene in a cell; physicists can now record the details of collisions of subatomic particles; astronomers can now obtain detailed pictures of the farthest reaches of the universe; etc. The rich datasets that can now be collected offer many exciting scientific opportunities, but they also introduce significant new computational challenges. Sublinear-time algorithms are one of the powerful tools that will help us meet these challenges. A sublinear-time algorithm is an algorithm that produces its output after inspecting only a tiny fraction of its input and executing a number of computational steps that is asymptotically smaller than the size of the input. The research described in this proposal aims to provide a solid theoretical foundation for the development and the analysis of these algorithms. This will be done by developing new algorithmic techniques for designing sublinear-time algorithms, new mathematical tools to analyze these algorithms and establish their limitations, and new connections to other areas of theoretical computer science.
许多科学领域目前正在发生巨大的变化:随着数据收集技术的迅速发展,分子生物学家现在可以测量细胞中每一个基因的表达水平;物理学家现在可以记录亚原子粒子碰撞的细节;天文学家现在可以获得宇宙最远处的详细照片;现在可以收集的丰富的数据集提供了许多令人兴奋的科学机会,但它们也引入了重大的新的计算挑战。次线性时间算法是帮助我们应对这些挑战的强大工具之一。亚线性时间算法是指只需要检测输入的一小部分,并执行一系列渐近小于输入的计算步骤就能产生输出的算法,本文的研究旨在为这些算法的开发和分析提供坚实的理论基础。这将通过开发新的算法技术来设计次线性时间算法,新的数学工具来分析这些算法并确定其局限性,以及与理论计算机科学其他领域的新联系来实现。
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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Blais, Eric其他文献
Blais, Eric的其他文献
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{{ truncateString('Blais, Eric', 18)}}的其他基金
New Methods for the Analysis of Randomized Algorithms
随机算法分析的新方法
- 批准号:
RGPIN-2022-03329 - 财政年份:2022
- 资助金额:
$ 2.48万 - 项目类别:
Discovery Grants Program - Individual
Theoretical foundation of sublinear-time algorithms
亚线性时间算法的理论基础
- 批准号:
RGPIN-2015-03907 - 财政年份:2021
- 资助金额:
$ 2.48万 - 项目类别:
Discovery Grants Program - Individual
Theoretical foundation of sublinear-time algorithms
亚线性时间算法的理论基础
- 批准号:
RGPIN-2015-03907 - 财政年份:2020
- 资助金额:
$ 2.48万 - 项目类别:
Discovery Grants Program - Individual
Theoretical foundation of sublinear-time algorithms
亚线性时间算法的理论基础
- 批准号:
RGPIN-2015-03907 - 财政年份:2019
- 资助金额:
$ 2.48万 - 项目类别:
Discovery Grants Program - Individual
Theoretical foundation of sublinear-time algorithms
亚线性时间算法的理论基础
- 批准号:
RGPIN-2015-03907 - 财政年份:2018
- 资助金额:
$ 2.48万 - 项目类别:
Discovery Grants Program - Individual
Theoretical foundation of sublinear-time algorithms
亚线性时间算法的理论基础
- 批准号:
RGPIN-2015-03907 - 财政年份:2017
- 资助金额:
$ 2.48万 - 项目类别:
Discovery Grants Program - Individual
Theoretical foundation of sublinear-time algorithms
亚线性时间算法的理论基础
- 批准号:
RGPIN-2015-03907 - 财政年份:2016
- 资助金额:
$ 2.48万 - 项目类别:
Discovery Grants Program - Individual
Using white dwarf merger simulations and observations of double degenerates to verify sub-Chandrasekhar SNIa models and explain new transients
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$ 2.48万 - 项目类别:
University Undergraduate Student Research Awards
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