Inequalities of generalization errors for layered neural networks in Bayesian learning

被引:0
|
作者
Watanabe, S [1 ]
机构
[1] Tokyo Inst Technol, Precis & Intelligence Lab, Midori Ku, Yokohama, Kanagawa 2268503, Japan
关键词
Bayesian learning; layered neural networks; generalization error;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper proves inequalities of generalization errors for layered neural networks in Bayesian learning. It is shown that, if a three layer perceptron with M input units, H hidden units, and N output units is trained to learn the true model with H-1 hidden units, the generalization error is smaller than D/(2n) where D is the number of parameters and n is the number of training samples.
引用
收藏
页码:59 / 62
页数:4
相关论文
共 50 条
  • [21] UNSUPERVISED DYNAMIC LEARNING IN LAYERED NEURAL NETWORKS
    JONKER, HJJ
    COOLEN, ACC
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (17): : 4219 - 4234
  • [22] Efficacy of Bayesian Neural Networks in Active Learning
    Rakesh, Vineeth
    Jain, Swayambhoo
    2021 IEEE/CVF CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION WORKSHOPS, CVPRW 2021, 2021, : 2601 - 2609
  • [23] Continual Learning Using Bayesian Neural Networks
    Li, Honglin
    Barnaghi, Payam
    Enshaeifare, Shirin
    Ganz, Frieder
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 32 (09) : 4243 - 4252
  • [24] Bayesian Nonparametric Federated Learning of Neural Networks
    Yurochkin, Mikhail
    Agarwal, Mayank
    Ghosh, Soumya
    Greenewald, Kristjan
    Hoang, Trong Nghia
    Khazaeni, Yasaman
    INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 97, 2019, 97
  • [25] Bayesian learning for neural networks: an algorithmic survey
    Martin Magris
    Alexandros Iosifidis
    Artificial Intelligence Review, 2023, 56 : 11773 - 11823
  • [26] Variational Learning of Bayesian Neural Networks via Bayesian Dark Knowledge
    Shen, Gehui
    Chen, Xi
    Deng, Zhihong
    PROCEEDINGS OF THE TWENTY-NINTH INTERNATIONAL JOINT CONFERENCE ON ARTIFICIAL INTELLIGENCE, 2020, : 2037 - 2043
  • [27] LEARNING NEURAL NETWORKS WITH RESPECT TO TOLERANCES TO WEIGHT ERRORS
    RUZICKA, P
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1993, 40 (05) : 331 - 342
  • [28] GENERALIZATION BY NEURAL NETWORKS
    SHEKHAR, S
    AMIN, MB
    IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING, 1992, 4 (02) : 177 - 185
  • [29] On generalization by neural networks
    Kak, SC
    INFORMATION SCIENCES, 1998, 111 (1-4) : 293 - 302
  • [30] Committee neural network potentials control generalization errors and enable active learning
    Schran, Christoph
    Brezina, Krystof
    Marsalek, Ondrej
    JOURNAL OF CHEMICAL PHYSICS, 2020, 153 (10):