A class of learning/estimation algorithms using nominal values: Asymptotic analysis and applications

被引：0
|
作者：
Yin, G [1 ]
Yin, K
Liu, B
Boukas, EK
机构：
[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
[2] Univ Minnesota, Dept Wood & Paper Sci, St Paul, MN 55108 USA
[3] Coll St Scholastica, Dept Math, Duluth, MN USA
[4] Ecole Polytech, Dept Mech Engn, Montreal, PQ H3C 3A7, Canada
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2000年 / 105卷 / 01期
基金：
加拿大自然科学与工程研究理事会; 美国国家科学基金会;
关键词：
learning; estimation; monitoring; industrial processes; kernel function; passive strategy; stochastic approximations;
D O I：
10.1023/A:1004622313930
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
A class of estimation/learning algorithms using stochastic approximation in conjunction with two kernel functions is developed. This algorithm is recursive in form and uses known nominal values and other observed quantities. Its convergence analysis is carried out, the rate of convergence is also evaluated. Applications to a nonlinear chemical engineering system are examined through simulation study. The estimates obtained will be useful in process operation and control, and in on-line monitoring and fault detection.
引用
收藏
页码：189 / 212
页数：24
相关论文
共 50 条
  • [1] A Class of Learning/Estimation Algorithms Using Nominal Values: Asymptotic Analysis and Applications
    G. Yin
    K. Yin
    B. Liu
    E. K. Boukas
    Journal of Optimization Theory and Applications, 2000, 105 : 189 - 212
  • [2] Asymptotic results for genetic algorithms with applications to nonlinear estimation
    Del Moral, P
    Miclo, L
    THEORETICAL ASPECTS OF EVOLUTIONARY COMPUTING, 2001, : 439 - 493
  • [3] The Asymptotic Behavior of Conformal Modules of Quadrilaterals with Applications to the Estimation of Resistance Values
    N. Papamichael
    N. S. Stylianopoulos
    Constructive Approximation, 1999, 15 : 109 - 134
  • [4] The asymptotic behavior of conformal modules of quadrilaterals with applications to the estimation of resistance values
    Papamichael, N
    Stylianopoulos, NS
    CONSTRUCTIVE APPROXIMATION, 1999, 15 (01) : 109 - 134
  • [5] Estimation of component values of filter design using optimization algorithms
    Nayak, Byamakesh
    Choudhury, Tanmoy Roy
    Misra, Banishree
    Mohapatra, Alivarani
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (03) : 3567 - 3579
  • [6] Non-Asymptotic Estimation for Online Systems: Finite-Time Algorithms and Applications
    Richard, Jean-Pierre
    Perruquetti, Wilfrid
    ERCIM NEWS, 2014, (97): : 30 - 31
  • [7] Nominal features-based class specific learning model for fault diagnosis in industrial applications
    Kannan, R.
    Manohar, S. Solai
    Kumaran, M. Senthil
    COMPUTERS & INDUSTRIAL ENGINEERING, 2018, 116 : 163 - 177
  • [8] A comparison of machine learning algorithms for estimation of higher heating values of biomass and fossil fuels from ultimate analysis
    Yaka, Havva
    Insel, Mert Akin
    Yucel, Ozgun
    Sadikoglu, Hasan
    FUEL, 2022, 320
  • [9] Software Defect Estimation Using Machine Learning Algorithms
    Yalciner, Burcu
    Ozdes, Merve
    2019 4TH INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND ENGINEERING (UBMK), 2019, : 487 - 491
  • [10] SOFTWARE EFFORT ESTIMATION USING MACHINE LEARNING ALGORITHMS
    Lavingia, Kruti
    Patel, Raj
    Patel, Vivek
    Lavingia, Ami
    SCALABLE COMPUTING-PRACTICE AND EXPERIENCE, 2024, 25 (02): : 1276 - 1285
12345