An Analysis of the Fundamental Structure of Complex-Valued Neurons

被引：0
|
作者：
Tohru Nitta
机构：
[1] Electrotechnical Laboratory,
来源：
Neural Processing Letters | 2000年 / 12卷
关键词：
complex numbers; complex-valued neurons; learning; decision boundary;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper presents some results of an analysis on the decision boundaries of complex-valued neurons. The main results may be summarized as follows. (a) Weight parameters of a complex-valued neuron have a restriction which is concerned with two-dimensional motion. (b) The decision boundary of a complex-valued neuron consists of two hypersurfaces which intersect orthogonally, and divides a decision region into four equal sections.
引用
收藏
页码：239 / 246
页数：7
相关论文
共 50 条
  • [1] An analysis of the fundamental structure of complex-valued neurons
    Nitta, T
    NEURAL PROCESSING LETTERS, 2000, 12 (03) : 239 - 246
  • [2] Robust Machine Learning of the Complex-Valued Neurons
    Shukla, Manmohan
    Tripathi, B. K.
    2017 7TH INTERNATIONAL CONFERENCE ON COMMUNICATION SYSTEMS AND NETWORK TECHNOLOGIES (CSNT), 2017, : 330 - 333
  • [3] Analysis of results in complex-valued intercomparisons
    Rodriguez, M.
    2008 CONFERENCE ON PRECISION ELECTROMAGNETIC MEASUREMENTS DIGEST, 2008, : 218 - 219
  • [4] Fully coupled and feedforward neural networks with complex-valued neurons
    Zurada, Jacek M.
    Aizenberg, Igor
    ADVANCES IN INTELLIGENT AND DISTRIBUTED COMPUTING, 2008, 78 : 41 - +
  • [5] Hebbian and error-correction learning for complex-valued neurons
    Aizenberg, Igor
    SOFT COMPUTING, 2013, 17 (02) : 265 - 273
  • [6] Complex-Valued Neurons with Phase-Dependent Activation Functions
    Aizenberg, Igor
    ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING, PT II, 2010, 6114 : 3 - 10
  • [7] Hebbian and error-correction learning for complex-valued neurons
    Igor Aizenberg
    Soft Computing, 2013, 17 : 265 - 273
  • [8] Learning in Networks: Complex-valued Neurons, Pruning, and Rule Extraction
    Zurada, Jacek M.
    Aizenberg, Igor
    Mazurowski, Maciej A.
    2008 4TH INTERNATIONAL IEEE CONFERENCE INTELLIGENT SYSTEMS, VOLS 1 AND 2, 2008, : 13 - +
  • [9] Is a Complex-Valued Stepsize Advantageous in Complex-Valued Gradient Learning Algorithms?
    Zhang, Huisheng
    Mandic, Danilo P.
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2016, 27 (12) : 2730 - 2735
  • [10] Prediction of Complex-Valued Signals by Using Complex-Valued LMK Algorithm
    Menguc, Engin Cemal
    Acir, Nurettin
    2017 25TH SIGNAL PROCESSING AND COMMUNICATIONS APPLICATIONS CONFERENCE (SIU), 2017,
12345