Nonlinear Optimization Models and Solving Algorithms based on Appropriate Neural Networks

被引:0
|
作者
Popoviciu, Nicolae [1 ]
机构
[1] Univ Hyper Bucharest, Bucharest, Romania
关键词
Quadratic programming; quadratic optimization; linear bound constraints; nonlinear convex optimization; nonlinear convex bounded optimization; BOUND CONSTRAINTS;
D O I
暂无
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
This work contains a complete set of algorithms for several quadratic and nonlinear optimization problems. The problem constraints are very differently. For each type of constraint an appropriate algorithm is given. The algorithms for linear bound constraints and nonlinear optimization are based on neural networks [2] [11] and uses a system of differential equations. In order to reduce the sensitivity and round off errors a preconditioning method is used. A great number of numerical applications illustrates the algorithms.
引用
收藏
页码:431 / +
页数:2
相关论文
共 50 条
  • [31] NONLINEAR ADAPTIVE DECOUPLING CONTROL BASED ON NEURAL NETWORKS AND MULTIPLE MODELS
    Fu, Yue
    Chai, Tianyou
    [J]. INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2012, 8 (3A): : 1867 - 1878
  • [32] Towards Solving Neural Networks with Optimization Trajectory Search
    Parsenadze, Lia T.
    Vargas, Danilo Vasconcellos
    Fujita, Toshiyuki
    [J]. PROCEEDINGS OF THE 2019 GENETIC AND EVOLUTIONARY COMPUTATION CONFERENCE COMPANION (GECCCO'19 COMPANION), 2019, : 75 - 76
  • [33] Research on Interlayer Recognition Based on Intelligent Optimization Algorithms and Convolutional Neural Networks
    Pan, Shaowei
    Kang, Mingzhu
    Guo, Zhi
    Luo, Haining
    [J]. APPLICATIONS AND TECHNIQUES IN INFORMATION SECURITY (ATIS 2021), 2022, 1554 : 13 - 20
  • [34] The structure optimization of radial basis probabilistic neural networks based on genetic algorithms
    Zhao, WB
    Huang, DS
    Ge, YJ
    [J]. PROCEEDING OF THE 2002 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOLS 1-3, 2002, : 1086 - 1091
  • [35] Optimization Study Based on Genetic Algorithms and Neural Networks Applied on an Ammidation Reaction
    Mocanu, Anca Mihaela
    Cernatescu, Corina
    Diaconescu, Rodica
    [J]. REVISTA DE CHIMIE, 2012, 63 (11): : 1138 - 1142
  • [36] Optimization strategy based on genetic algorithms and neural networks applied to a polymerization process
    Curteanu, Silvia
    Leon, Florin
    [J]. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2008, 108 (04) : 617 - 630
  • [37] Neural networks for optimization problem with nonlinear constraints
    Kang, Min-jae
    Kim, Ho-chan
    Khan, Farrukh Aslam
    Song, Wang-cheol
    Lee, Sang-joon
    [J]. NEURAL INFORMATION PROCESSING, PT 2, PROCEEDINGS, 2006, 4233 : 1014 - 1021
  • [38] Optimization of Artificial Neural Networks Based Models for Wave Height Prediction
    Stavarache, Gheorghe
    Ciortan, Sorin
    Rusu, Eugen
    [J]. 2020 5TH INTERNATIONAL CONFERENCE ON ADVANCES ON CLEAN ENERGY RESEARCH (ICACER 2020), 2020, 173
  • [39] Hybridized neural network and genetic algorithms for solving nonlinear integer programming
    Gen, M
    Ida, K
    Kobuchi, R
    Lee, C
    [J]. 1998 SECOND INTERNATIONAL CONFERENCE ON KNOWLEDGE-BASED INTELLIGENT ELECTRONIC SYSTEMS, KES '98, PROCEEDINGS, VOL 2, 1998, : 272 - 277
  • [40] Functional optimization of online algorithms in multilayer neural networks
    Vicente, R
    Caticha, N
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (17): : L599 - L605