Newton's Method Backpropagation for Complex-Valued Holomorphic Neural Networks: Algebraic and Analytic Properties
نویسندگان
چکیده
Newton’s Method Backpropagation for Complex-Valued Holomorphic Neural Networks: Algebraic and Analytic Properties
منابع مشابه
Complex Valued Analytic Torsion for Flat Bundles and for Holomorphic Bundles with (1,1) Connections
The work of Ray and Singer which introduced analytic torsion, a kind of determinant of the Laplacian operator in topological and holomorphic settings, is naturally generalized in both settings. The couplings are extended in a direct way in the topological setting to general flat bundles and in the holomorphic setting to bundles with (1,1) connections, which using the Newlander-Nirenberg Theorem...
متن کاملA vector matrix real time backpropagation algorithm for recurrent neural networks that approximate multi-valued periodic functions
A vector matrix real time backpropagation algorithm for recurrent neural networks that approximate multi-valued periodic functions," Received Unlike feedforward neural networks (FFNN) which can act as universal function ap-proximators, recursive, or recurrent, neural networks can act as universal approximators for multi-valued functions. In this paper, a real time recursive backpropagation (RTR...
متن کاملLearning Representations Using Complex-Valued Nets
Complex-valued neural networks (CVNNs) are an emerging field of research in neural networks due to their potential representational properties for audio, image, and physiological signals. It is common in signal processing to transform sequences of real values to the complex domain via a set of complex basis functions, such as the Fourier transform. We show how CVNNs can be used to learn complex...
متن کاملComplex - Valued Neural Network in Image Recognition : A Study on the Effectiveness of Radial Basis Function
A complex valued neural network is a neural network, which consists of complex valued input and/or weights and/or thresh olds and/or activation functions. Complex-valued neural networks have been widening the scope of applications not only in electronics and informatics, but also in social systems. One of the most important applications of the complex valued neural network is in image and visio...
متن کاملConvergence of Batch Split-Complex Backpropagation Algorithm for Complex-Valued Neural Networks
The batch split-complex backpropagation BSCBP algorithm for training complex-valued neural networks is considered. For constant learning rate, it is proved that the error function of BSCBP algorithm is monotone during the training iteration process, and the gradient of the error function tends to zero. By adding a moderate condition, the weights sequence itself is also proved to be convergent. ...
متن کامل