Journal papers

  1. T. Nitta: "An Analysis of a Stochastic Resource Allocation Model with Various Utility Functions", Journal of the Operations Research Society of Japan, Vol.32, No.1, pp.1-15 (1989).

  2. T. Furuya, Y. Akiyama, T. Tanaka and T. Nitta: "Multi-layer Neural Network with Feedback Links", Transactions of Information Processing Society of Japan, Vol.32, No.9, pp.1210-1213 (1991)(in Japanese).

  3. T. Nitta and T. Furuya: "A Complex Back-propagation Learning", Transactions of Information Processing Society of Japan, Vol.32, No.10, pp.1319-1329 (1991)(in Japanese).

  4. T. Nitta and T. Furuya: "An Analysis of a Stochastic Resource Allocation Model with a Nonnegative Production Function", Journal of the Operations Research Society of Japan, Vol.35, No.1, pp.15-30 (1992)(in Japanese).

  5. T. Nitta, S. Akaho, Y. Akiyama and T. Furuya: "Structure of Weight Parameters and Decision Boundary in Complex Back-propagation Network", Transactions of Information Processing Society of Japan, Vol.33, No.11, pp. 1306-1313 (1992)(in Japanese).

  6. T. Nitta and T. Furuya: "Characteristics of Learning in the Complex Back-propagation Learning Algorithm", Transactions of Information Processing Society of Japan, Vol.34, No.1, pp.29-38 (1993)(in Japanese).

  7. T. Nitta: "Behavior of Complex BP Network Which Has Learned Rotation", Transactions of Information Processing Society of Japan, Vol.34, No.1, pp.39-51 (1993)(in Japanese).

  8. T. Nitta: "An Extension of Neural Networks to Three Dimensions", Transactions of Information Processing Society of Japan, Vol.35, No.7, pp.1300-1310 (1994)(in Japanese).

  9. T. Nitta : "An Extension of the Back-Propagation Algorithm to Complex Numbers", Neural Networks, Vol.10, No.8, pp.1391-1415 (1997).
    Text.pdf    , Figures1.pdf, Figures2.pdf, Figures3.pdf

  10. T. Nitta: "An Analysis of the Fundamental Structure of Complex-valued Neurons", Neural Processing Letters, Vol.12, No.3, pp.239-246 (2000). Text.pdf, Figures.pdf

  11. T. Nitta："The Uniqueness Theorem for Complex-valued Neural Networks and the Redundancy of the Parameters", IEICE Trans. Inf. & Syst. DII, Vol.J85-D-II, No.5 (2002) (in Japanese).

  12. T. Nitta: "Redundancy of the Parameters of the Complex-valued Neural Networks", Neurocomputing, Vol.49, Issue 1-4, pp.423-428 (2002).

  13. T. Nitta: "On the Inherent Property of the Decision Boundary in Complex-valued Neural Networks", Neurocomputing, Vol.50, Issue C, pp.291-303 (2003).

  14. T. Nitta: "Solving the XOR Problem and the Detection of Symmetry Using a Single Complex-valued Neuron", Neural Networks, Vol.16, No.8, pp.1101-1105 (2003).
  15. T. Nitta: "The Uniqueness Theorem for Complex-valued Neural Networks and the Redundancy of the Parameters", Systems and Computers in Japan, Vol.34, Issue 14, pp.54-62 (2003).

  16. T. Nitta: "Orthogonality of Decision Boundaries in Complex-Valued Neural Networks", Neural Computation, Vol.16, No.1, pp.73-97 (2004). pdf

  17. T. Nitta: "Reducibility of the Complex-valued Neural Network", Neural Information Processing - Letters and Reviews,Vol.2, No.3, pp.53-56 (2004).

  18. T. Nitta: "A Solution to the 4-bit Parity Problem with a Single Quaternary Neuron", Neural Information Processing - Letters and Reviews, Vol.5, No.2, pp.33-39 (2004). pdf

  19. T. Nitta: "Three-Dimensional Vector Valued Neural Network and its Generalization Ability", Neural Information Processing - Letters and Reviews, Vol.10, No.10, pp.237-242 (2006). pdf

  20. T. Nitta: "The Uniqueness Theorem for Complex-Valued Neural Networks with Threshold Parameters and the Redundancy of the Parameters", International Journal of Neural Systems, Vol.18, No.2, pp.123-134 (2008). pdf
    ERRATA is published in the issue Vol.19, No.2 (2009).

  21. T. Nitta: "On the Singularity of a Single Complex-Valued Neuron", IEICE Trans. Inf. & Syst. D, Vol.J93-D, No.8, pp.1614-1621 (2010)(in Japanese).

  22. T. Nitta: "Learning Transformations with Complex-Valued Neurocomputing", International Journal of Organizational and Collective Intelligence, Vol.3, No.2, pp.81-116 (2012).

  23. T. Nitta: "Construction of Neural Networks that Do Not Have Critical Points Based on Hierarchical Structures", International Journal of Advanced Computer Science and Applications, Vol.4, No.9, pp.68-73 (2013).

  24. T. Nitta: "Local Minima in Hierarchical Structures of Complex-Valued Neural Networks", Neural Networks, Vol.43, pp.1-7 (2013).

  25. T. Nitta: "A Theoretical Foundation for the Widely Linear Processing of Quaternion-Valued Data", Applied Mathematics, Vol.4, No.12, pp.1616-1620 (2013).

  26. E. Hitzer, T. Nitta, Y. Kuroe: "Applications of Clifford's Geometric Algebra", Advances in Applied Clifford Algebras, Vol.23, Issue 2, pp.377-404 (2013). (the most highly accessed article 2013-2014)

  27. T. Nitta: "Learning Dynamics of the Complex-Valued Neural Network in the Neighborhood of Singular Points", Journal of Computer and Communications, Vol.2, No.1, pp.27-32 (2014).

  28. T. Nitta: "Natural Gradient Descent for Training Stochastic Complex-Valued Neural Networks", International Journal of Advanced Computer Science and Applications, Vol.5, No.7, pp.193-198 (2014).

  29. T. Nitta: "Learning Dynamics of a Single Polar Variable Complex-Valued Neuron", Neural Computation, Vol.27, No.5, pp.1120-1141 (2015).

  30. Y. Xia, C. Jahanchahi, T. Nitta and D. P. Mandic: "Performance Bounds of Quaternion Estimators", IEEE Trans. Neural Networks and Learning Systems, Vol.26, No.12, pp.3287-3292 (2015).

  31. T. Nitta: " Complex-Valued Neurocomputing and Singular Points", Archives of Neuroscience, Vol. 2, Issue 4 (2015) (Invited paper).

  32. T. Nitta: " Resolution of Singularities Introduced by Hierarchical Structure in Deep Neural Networks", IEEE Trans. Neural Networks and Learning Systems, Vol.28, No.10, pp.2282-2293 (2017).

  33. T. Nitta and Y. Kuroe: " Hyperbolic Gradient Operator and Hyperbolic Back-Propagation Learning Algorithms", IEEE Trans. Neural Networks and Learning Systems, Vol.29, No.5, pp.1689-1702 (2018).

  34. T. Nitta: " Resolution of Singularities via Deep Complex-Valued Neural Networks", Mathematical Methods in the Applied Sciences, Vol.41, Issue 11, pp.4170-4178 (2018).

  35. T. Nitta, M. Kobayashi and D. P. Mandic: " Hypercomplex Widely Linear Estimation through the Lens of Underpinning Geometry ", IEEE Trans. Signal Processing, Vol. 67, No. 15, pp.3985-3994 (2019).

  36. T. Nitta: " Proposal of Fully Augmented Complex-Valued Neural Networks" , The open-access journal: Nonlinear Theory and Its Applications (NOLTA), IEICE, Vol. E-14-N, No. 2, pp. 175-192 (2023). New


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