论文标题
两种双色和一个多摩式最小成方算法
Two Bicomplex and One Multicomplex Least Mean Square algorithms
论文作者
论文摘要
我们研究并介绍了复杂和双色复合物设置中的新梯度运算符，这是受自适应线性神经元（adaline）在1960年发明的著名的最少平方（LMS）算法的启发。 这些梯度运算符将用于制定最小二平方（BLMS）算法的新学习规则，我们还将针对多姆普尔LMS算法（MLMS）制定这些学习规则。这种方法既扩展了经典的真实和复杂的LMS算法。
We study and introduce new gradient operators in the complex and bicomplex settings, inspired from the well-known Least Mean Square (LMS) algorithm invented in 1960 by Widrow and Hoff for Adaptive Linear Neuron (ADALINE). These gradient operators will be used to formulate new learning rules for the Bicomplex Least Mean Square (BLMS) algorithms and we will also formulate these learning rules will for the case of multicomplex LMS algorithms (MLMS). This approach extends both the classical real and complex LMS algorithms.
