Representation of multivariate functions by sums of ridge functions

被引:4
|
作者
Ismailov, Vugar E. [1 ]
机构
[1] Azerbaijan Natl Acad Sci, Math & Mech Inst, AZ-1141 Baku, Azerbaijan
关键词
ridge function; path; orbit;
D O I
10.1016/j.jmaa.2006.08.076
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we find geometric means of deciding if any continuous multivariate function can be represented by sums of two continuous ridge functions. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:184 / 190
页数:7
相关论文
共 50 条
  • [1] ON THE REPRESENTATION BY SUMS OF RIDGE FUNCTIONS
    Aliev, Rashid A.
    Ismailov, Vugar E.
    Shahbalayeva, Tarana M.
    [J]. PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2015, 41 (02): : 106 - 118
  • [2] A representation problem for smooth sums of ridge functions
    Aliev, Rashid A.
    Ismailov, Vugar E.
    [J]. JOURNAL OF APPROXIMATION THEORY, 2020, 257
  • [4] On the continuity of finite sums of ridge functions
    Konyagin, S. V.
    Kuleshov, A. A.
    [J]. MATHEMATICAL NOTES, 2015, 98 (1-2) : 336 - 338
  • [5] A note on continuous sums of ridge functions
    Aliev, Rashid A.
    Asgarova, Aysel A.
    Ismailov, Vugar E.
    [J]. JOURNAL OF APPROXIMATION THEORY, 2019, 237 : 210 - 221
  • [6] On the continuity of finite sums of ridge functions
    S. V. Konyagin
    A. A. Kuleshov
    [J]. Mathematical Notes, 2015, 98 : 336 - 338
  • [7] On the Representation by Bivariate Ridge Functions
    Aliev, R. A.
    Asgarova, A. A.
    Ismailov, V. E.
    [J]. UKRAINIAN MATHEMATICAL JOURNAL, 2021, 73 (05) : 675 - 685
  • [8] On the Representation by Bivariate Ridge Functions
    R. A. Aliev
    A. A. Asgarova
    V. E. Ismailov
    [J]. Ukrainian Mathematical Journal, 2021, 73 : 675 - 685
  • [9] On some properties of smooth sums of ridge functions
    A. A. Kuleshov
    [J]. Proceedings of the Steklov Institute of Mathematics, 2016, 294 : 89 - 94
  • [10] APPROXIMATION BY SUMS OF RIDGE FUNCTIONS WITH FIXED DIRECTIONS
    Ismailov, V. E.
    [J]. ST PETERSBURG MATHEMATICAL JOURNAL, 2017, 28 (06) : 741 - 772