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Randomized Algorithms for Matricies, Graphs, and Convex Sets

Randomized Algorithms for Matricies, Graphs, and Convex Sets
矩阵、图和凸集的随机算法
批准号:
9820850
负责人:
Ravindran Kannan
金额:
$33.07万
依托单位:
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1999
资助国家:
美国
项目状态:
已结题
起止时间:
1999-08-01 至 2003-07-31

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中文摘要
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英文摘要
This project is focused on two areas. The first is applying techniques developed for randomized algorithms to traditional matrix problems that have to be solved for very large matrices. In particular, the problem of finding an approximation to a given matrix having a fixed rank. If the matrix is the adjacency matrix of a graph, connection has been developed between such approximations and certain partitions of the vertex set of the graph. The second area is approximation algorithms for convex sets.
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Three Topics in Combinatorics with Relations to Theoretical Computer Science
  • 批准号:
    0400960
  • 项目类别:
    Standard Grant
  • 资助金额:
    $13.1万
  • 财政年份:
    2004
  • 负责人:
    Ravindran Kannan
  • 依托单位:
Collaborative Research: ITR: Models, Algorithms and Analyses for Clustering Data
  • 批准号:
    0312354
  • 项目类别:
    Standard Grant
  • 资助金额:
    $9.0万
  • 财政年份:
    2003
  • 负责人:
    Ravindran Kannan
  • 依托单位:
Sampling on the Fly From Massive Data
  • 批准号:
    0310805
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $25.0万
  • 财政年份:
    2003
  • 负责人:
    Ravindran Kannan
  • 依托单位:
Computer Science Approaches to Finance Problems: Computational Complexity and Efficient Algorithms
  • 批准号:
    0296040
  • 项目类别:
    Standard Grant
  • 资助金额:
    $30.0万
  • 财政年份:
    2001
  • 负责人:
    Ravindran Kannan
  • 依托单位:
海外基金