Statistical Search for The Global Extremum in The Criterion Space

被引：0

作者：

Balyk, V. M. ^{[1
]}

Malenkov, A. A. ^{[1
]}

机构：

[1] Natl Res Univ, Moscow Aviat Inst, Moscow, Russia

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2019年 / 58卷 / 01期

关键词：

criterion sequence; psi-transformation; the global minimum; incompatibility measure; statistical sample;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of the global extremum search for non-smooth, multi-extremal objective functions on a bounded set in the R pace still faces a number of problems, especially in multidimensional problems. In this paper we propose a new method for a global extremum search, which is the development of the known psi-transformation method. The method is based on the reduction of the extremum finding process in the criterion space and does not require the introduction of any special assumptions, in particular, information about the Lipschitz constant is not required.

引用

页码：98 / 108

页数：11

共 50 条

[11] CONVERGENCE OF A CERTAIN METHOD OF RANDOM SEARCH FOR A GLOBAL EXTREMUM OF A RANDOM FUNCTION
VAYSBORD, EM
[J]. ENGINEERING CYBERNETICS, 1969, (01): : 46 - &
[12] NON-GRADIENT RANDOM SEARCH METHOD FOR AN EXTREMUM IN A HILBERT SPACE
KULCHITS.OY
[J]. ENGINEERING CYBERNETICS, 1973, 10 (05): : 773 - 780
[13] In Search of a Global Political Space
Rosenboim, Or
[J]. POLITICS RELIGION & IDEOLOGY, 2019, 20 (02) : 253 - 257
[14] INVESTIGATION OF THE PROPERTIES OF THE EFFICIENCY CRITERION OF A HEAT-TRANSFER SYSTEM SYNTHESIS COMPLEX PROBLEM FOR THE PURPOSES OF DEVELOPMENT OF SEARCH ALGORITHMS OF ITS GLOBAL EXTREMUM
KAFAROV, VV
MESHALKIN, VP
NGUEN, NS
KOZINA, OA
[J]. DOKLADY AKADEMII NAUK SSSR, 1982, 266 (03): : 685 - 690
[15] Search for the Global Extremum Using the Correlation Indicator for Neural Networks Supervised Learning
N. Vershkov
M. Babenko
V. Kuchukov
N. Kuchukova
[J]. Programming and Computer Software, 2020, 46 : 609 - 618
[16] Search for the Global Extremum Using the Correlation Indicator for Neural Networks Supervised Learning
Vershkov, N.
Babenko, M.
Kuchukov, V.
Kuchukova, N.
[J]. PROGRAMMING AND COMPUTER SOFTWARE, 2020, 46 (08) : 609 - 618
[17] APPROXIMATION OF CONVEX-SETS BY POLYHEDRA AND ITS APPLICATION TO THE SEARCH FOR A GLOBAL EXTREMUM
VASILYEV, NS
[J]. SOVIET JOURNAL OF COMPUTER AND SYSTEMS SCIENCES, 1986, 24 (04): : 24 - 33
[18] THE PROBLEM OF GLOBAL EXTREMUM
STREKALOVSKII, AS
[J]. DOKLADY AKADEMII NAUK SSSR, 1987, 292 (05): : 1062 - 1066
[19] Global Statistical Learning in a Visual Search Task
Jones, John L.
Kaschak, Michael P.
[J]. JOURNAL OF EXPERIMENTAL PSYCHOLOGY-HUMAN PERCEPTION AND PERFORMANCE, 2012, 38 (01) : 152 - 160
[20] SMOOTHING OPERATORS IN SEARCH FOR AN EXTREMUM
VOLYNSKIY, EI
POTESHKINA, LI
FILATOV, GV
[J]. ENGINEERING CYBERNETICS, 1975, 13 (02): : 64 - 70

← 1 2 3 4 5 →