論文誌


  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. 古谷立美, 秋山泰, 田中敏雄，新田徹: "フイードバック付き多層ニュ−ラルネットワ−ク", 情報処理学会論文誌, Vol.32, No.9, pp.1210-1213 (1991).

  3. 新田徹，古谷立美: "複素バックプロパゲ−ション学習", 情報処理学会論文誌, Vol.32, No.10, pp.1319-1329 (1991).

  4. 新田徹，古谷立美: "非負値生産関数を持つ資源配分モデルの解析", 日本オペレーションズリサーチ学会論文誌, Vol.35, No.1, pp.15-30 (1992).

  5. 新田徹，赤穗昭太郎，秋山泰，古谷立美: "複素バックプロパゲ−ション・ネットワークにおける重みパラメータと決定表面の構造", 情報処理学会論文誌, Vol.33, No.11, pp.1306-1313 (1992).

  6. 新田徹，古谷立美: "複素バックプロパゲーション学習アルゴリズムの学習特性"，情報処理学会論文誌, Vol.34, No.1, pp.29-38 (1993).

  7. 新田徹: "回転を学習した複素ＢＰネットワークのふるまい", 情報処理学会論文誌, Vol.34, No.1, pp.39-51 (1993).

  8. 新田徹: "ニュ−ラルネットワ−クの３次元への拡張", 情報処理学会論文誌, Vol.35, No.7, pp.1300-1310 (1994).

  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. 新田徹："複素ニューラルネットワークにおける一意性定理とパラメータの冗長性", 電子情報通信学会論文誌DII, Vol.J85-D-II, No.5, pp.796-804 (2002).

  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 が、Vol.19, No.2 (2009)に掲載されました。

  21. 新田徹："複素ニューロンの特異性について", 電子情報通信学会論文誌D, Vol.J93-D, No.8, pp.1614-1621 (2010).

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

  24. 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).

  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, and the 2nd-most article downloads 2015)

  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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