A novel fractional gradient-based learning algorithm for recurrent neural networks

DOI10.1007/s00034-017-0572-zzbMath1477.68271OpenAlexW2620301279MaRDI QIDQ2003208

Muhammad Moinuddin, Shujaat Khan, Imran Naseem, Jawwad Ahmad

Publication date: 16 July 2019

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00034-017-0572-z

zbMATH Keywords

recurrent neural networkfractional calculusgradient descentback-propagation through time (BPTT)Mackey-Glass chaotic time seriesminimum redundancy and maximum relevance (MRMR)

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Fractional programming (90C32)

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Cites Work

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• Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
• Fractional generalized splines and signal processing
• An approach via fractional analysis to non-linearity induced by coarse-graining in space
• Recent applications of fractional calculus to science and engineering
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Recursive prediction error identification and scaling of non-linear state space models using a restricted Black box parameterization
• Fractional Multi-models of the Frog Gastrocnemius Muscle
• Modeling the Cardiac Tissue Electrode Interface Using Fractional Calculus
• Automatic Loop Shaping in QFT Using CRONE Structures
• A Child's Garden of Fractional Derivatives
• Fractional Derivatives and Special Functions
• Advances in Fractional Calculus

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