On a multidimensional version of the tomographic problem

被引:0
|
作者
Sudakov V.N.
机构
基金
俄罗斯基础研究基金会;
关键词
Marginal Distribution; Linear Functional; Unknown Density; Pairwise Disjoint Subset; Univariate Probability Measure;
D O I
10.1007/BF02673643
中图分类号
学科分类号
摘要
The main result: If the dimension of a Euclidean space with measure is high enough, only the first observation from a long series of observations with random independent choice of projection gives essential information on the measure. ©2000 Kluwer Academic/Plenum Publishers.
引用
收藏
页码:1197 / 1200
页数:3
相关论文
共 50 条
  • [41] On a version of the Hua problem
    Kirkoryan, A.
    Tolev, D.
    MATHEMATICAL NOTES, 2010, 88 (3-4) : 365 - 373
  • [42] Psychometric testing of the brief screening version of Multidimensional Pain Inventory (Swedish version)
    Jakobsson, Ulf
    SCANDINAVIAN JOURNAL OF CARING SCIENCES, 2009, 23 (01) : 171 - 179
  • [43] Test problem generator for the multidimensional assignment problem
    Grundel, DA
    Pardalos, PM
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2005, 30 (02) : 133 - 146
  • [44] Test Problem Generator for the Multidimensional Assignment Problem
    Don A. Grundel
    Panos M. Pardalos
    Computational Optimization and Applications, 2005, 30 : 133 - 146
  • [45] Tomographic approach for sampling multidimensional signals with finite rate of innovation
    Shukla, Pancham
    Dragotti, Pier Luigi
    2006 IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, ICIP 2006, PROCEEDINGS, 2006, : 2685 - +
  • [46] AN ITERATIVE MULTIDIMENSIONAL FEATURE RECONSTRUCTION NETWORK FOR TOMOGRAPHIC SAR IMAGING
    Ren, Yu
    Zhang, Xiaoling
    Zhan, Xu
    Shi, Jun
    Wei, Shunjun
    Zeng, Tianjiao
    IGARSS 2023 - 2023 IEEE INTERNATIONAL GEOSCIENCE AND REMOTE SENSING SYMPOSIUM, 2023, : 7929 - 7932
  • [47] Approximation and the Multidimensional Moment Problem
    Olteanu, Octav
    AXIOMS, 2025, 14 (01)
  • [48] On a Multidimensional Boundary Value Problem
    M. V. Topunov
    Differential Equations, 2005, 41 : 752 - 756
  • [49] Computation for multidimensional Cauchy problem
    Wei, T
    Hon, YC
    Cheng, J
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 42 (02) : 381 - 396
  • [50] Minimization problem in multidimensional space
    Dimitrov, V
    7TH WORLD MULTICONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL XIII, PROCEEDINGS: SYSTEMICS, CYBERNETICS AND INFORMATICS: TECHNOLOGIES AND APPLICATIONS, 2003, : 125 - 128