MODIFIED HEBBIAN LEARNING FOR CURVE AND SURFACE FITTING

被引：163
|
作者：
XU, L
OJA, E
SUEN, CY
机构：
[1] CONCORDIA UNIV,CTR PATTERN RECOGNIT & MACHINE INTELLIGENCE,MONTREAL H3G 1M8,QUEBEC,CANADA
[2] LAPPEENRANTA UNIV TECHNOL,DEPT INFORMAT TECHNOL,SF-53851 LAPPEENRANTA 85,FINLAND
来源：
NEURAL NETWORKS | 1992年 / 5卷 / 03期
关键词：
HEBBIAN LEARNING; PRINCIPAL COMPONENT ANALYSIS; MINOR COMPONENTS; CURVE AND SURFACE FITTING; TOTAL LEAST SQUARE METHOD; STOCHASTIC APPROXIMATION;
D O I：
10.1016/0893-6080(92)90006-5
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A linear neural unit with a modified anti-Hebbian learning rule is shown to be able to optimally fit curves, surfaces, and hypersurfaces by adaptively extracting the minor component (i.e., the counterpart of principal component) of the input data set. The learning rule is analyzed mathematically. The results of computer simulations are given to illustrate that this neural fitting method considerably out perform the commonly used least square fitting method in resisting both normal noise and outlier
引用
收藏
页码：441 / 457
页数：17
相关论文
共 50 条
  • [1] Neural fitting: Robustness by anti-Hebbian learning
    Oja, E
    Wang, LY
    [J]. NEUROCOMPUTING, 1996, 12 (2-3) : 155 - 170
  • [2] SIMPLIFIED PROCEDURES FOR FITTING A GOMPERTZ CURVE AND A MODIFIED EXPONENTIAL CURVE
    SHERMAN, J
    MORRISON, WJ
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1950, 45 (249) : 87 - 97
  • [3] Modified Machine Learning Techique for Curve Fitting on Regression Models for COVID-19 projections
    Andreas, Andreou
    Mavromoustalcis, Constandinos X.
    Mastorakis, George
    Mumtaz, Shahid
    Batalla, Jordi Mongay
    Pallis, Evangelos
    [J]. 2020 IEEE 25TH INTERNATIONAL WORKSHOP ON COMPUTER AIDED MODELING AND DESIGN OF COMMUNICATION LINKS AND NETWORKS (CAMAD), 2020,
  • [4] Beyond curve fitting to inferences about learning
    Liu, YT
    Mayer-Kress, G
    Newell, KM
    [J]. JOURNAL OF MOTOR BEHAVIOR, 2004, 36 (02) : 233 - 238
  • [5] MEASUREMENT OF LEARNING AND TRANSFER THROUGH CURVE FITTING
    SPEARS, WD
    [J]. HUMAN FACTORS, 1985, 27 (03) : 251 - 266
  • [6] NURBS curve and surface fitting for reverse engineering
    Ma, W
    Kruth, JP
    [J]. INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 1998, 14 (12): : 918 - 927
  • [7] Curve fitting in surface analysis and the effect of background inclusion in the fitting process
    Sherwood, PMA
    [J]. JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A-VACUUM SURFACES AND FILMS, 1996, 14 (03): : 1424 - 1432
  • [8] Curve and Surface Fitting Techniques in Computer Vision
    Brown, Kyle
    Bourbakis, Nikolaos
    [J]. INTERNATIONAL JOURNAL OF IMAGE AND GRAPHICS, 2021, 21 (04)
  • [9] Experimental fitting of the yield surface curve on the plane π
    Zhang, Lu-Yu
    Kong, Liang
    Zheng, Ying-Ren
    [J]. Rock and Soil Mechanics, 2002, 23 (04) : 406 - 410
  • [10] NURBS curve and surface fitting for reverse engineering
    W. Ma
    J. -P. Kruth
    [J]. The International Journal of Advanced Manufacturing Technology, 1998, 14 : 918 - 927
12345