Proceedings of Joint 11th International Conference on Soft Computing and Intelligent Systems and 21st International Symposium on Advanced Intelligent Systems, SCIS & ISIS2020 1-3 2020年12月 [査読有り]
IEEE TRANSACTIONS ON SIGNAL PROCESSING 67(15) 3985-3994 2019年8月 [査読有り]
We provide a rigorous account of the equivalence between the complex-valued widely linear estimation method and the quaternion involution widely linear estimation method with their vector-valued real linear estimation counterparts. This is achieve...
MATHEMATICAL METHODS IN THE APPLIED SCIENCES 41(11) 4170-4178 2018年7月 [査読有り]
It has been reported that training deep neural networks is more difficult than training shallow neural networks. Hinton etal. proposed deep belief networks with a learning algorithm that trains one layer at a time. A much better generalization can...
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 29(5) 1689-1702 2018年5月 [査読有り]
In this paper, we first extend the Wirtinger derivative which is defined for complex functions to hyperbolic functions, and derive the hyperbolic gradient operator yielding the steepest descent direction by using it. Next, we derive the hyperbolic...
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