An Extension of the Back-Propagation Algorithm to Three Dimensions by Vector Product. - Tohru Nitta (ICTAI, 1993)

Ability of the complex backpropagation algorithm to learn similar transformation. - Tohru Nitta (ICNN, 1995)

A quaternary version of the back-propagation algorithm. - Tohru Nitta (ICNN, 1995)

The Supremum and the Infimum of the Encouragement Factor in the Gaussian Machine. - Tohru Nitta (ICONIP (1), 1997)

An Extension of the Back-Propagation Algorithm to Complex Numbers. - Tohru Nitta (Neural Networks, 1997)

The Stability of the Solution in Fully Connected Neural Networks with the Encouragement Factor. - Tohru Nitta (ICONIP, 1998)

Emotion Memory Model. - Kenji Nishida; Tohru Nitta; Toshio Tanaka (Applied Informatics, 1999)

An Analysis of the Fundamental Structure of Complex-Valued Neurons. - Tohru Nitta (Neural Process. Lett., 2000)

Redundancy of the parameters of the complex-valued neural network. - Tohru Nitta (Neurocomputing, 2002)

The Computational Power of Complex-Valued Neuron. - Tohru Nitta (ICANN, 2003)

On the inherent property of the decision boundary in complex-valued neural networks. - Tohru Nitta (Neurocomputing, 2003)

Solving the XOR problem and the detection of symmetry using a single complex-valued neuron. - Tohru Nitta (Neural Networks, 2003)

The uniqueness theorem for complex-valued neural networks and the redundancy of the parameters. - Tohru Nitta (Syst. Comput. Jpn., 2003)

Orthogonality of Decision Boundaries in Complex-Valued Neural Networks. - Tohru Nitta (Neural Comput., 2004)

On the decision boundaries of hyperbolic neurons. - Tohru Nitta; Sven Buchholz 001 (IJCNN, 2008)

The uniqueness Theorem for Complex-Valued Neural Networks with Threshold Parameters and the Redundancy of the Parameters. - Tohru Nitta (Int. J. Neural Syst., 2008)

Erratum: "the uniqueness Theorem for Complex-Valued Neural Networks with Threshold Parameters and the Redundancy of the Parameters". - Tohru Nitta (Int. J. Neural Syst., 2009)

Complex-Valued Neural Networks. - Tohru Nitta (Encyclopedia of Artificial Intelligence, 2009)

Widely Linear Processing of Hypercomplex Signals. - Tohru Nitta (ICONIP (1), 2011)

Learning Transformations with Complex-Valued Neurocomputing. - Tohru Nitta (Int. J. Organ. Collect. Intell., 2012)

Neural Networks with Comparatively Few Critical Points. - Tohru Nitta (KES, 2013)

Applications of Clifford's Geometric Algebra - Eckhard Hitzer; Tohru Nitta; Yasuaki Kuroe (CoRR, 2013)

Local minima in hierarchical structures of complex-valued neural networks. - Tohru Nitta (Neural Networks, 2013)

Plateau in a Polar Variable Complex-valued Neuron. - Tohru Nitta (ICAART (1), 2014)

Learning Dynamics of a Single Polar Variable Complex-Valued Neuron. - Tohru Nitta (Neural Comput., 2015)

Performance Bounds of Quaternion Estimators. - Yili Xia; Cyrus Jahanchahi; Tohru Nitta; Danilo P. Mandic (IEEE Trans. Neural Networks Learn. Syst., 2015)

On the Singularity in Deep Neural Networks. - Tohru Nitta (ICONIP (4), 2016)

Resolution of Singularities Introduced by Hierarchical Structure in Deep Neural Networks. - Tohru Nitta (IEEE Trans. Neural Networks Learn. Syst., 2017)

Weight Initialization without Local Minima in Deep Nonlinear Neural Networks. - Tohru Nitta (CoRR, 2018)

Hyperbolic Gradient Operator and Hyperbolic Back-Propagation Learning Algorithms. - Tohru Nitta; Yasuaki Kuroe (IEEE Trans. Neural Networks Learn. Syst., 2018)

Hypercomplex Widely Linear Estimation Through the Lens of Underpinning Geometry. - Tohru Nitta; Masaki Kobayashi; Danilo P. Mandic (IEEE Trans. Signal Process., 2019)

Fundamental Structure of Orthogonal Variable Commutative Quaternion Neurons. - Tohru Nitta; Hui Hu Gan (SCIS/ISIS, 2020)

Learning Properties of Feedforward Neural Networks Using Dual Numbers. - Yuto Okawa; Tohru Nitta (APSIPA ASC, 2021)

Sequential Learning on sEMGs in Short- and Long-term Situations via Self-training Semi-supervised Support Vector Machine. - Yuto Okawa; Suguru Kanoga; Takayuki Hoshino; Tohru Nitta (EMBC, 2022)

Learning Characteristics of Reverse Quaternion Neural Network. - Shogo Yamauchi; Tohru Nitta; Takaaki Ohnishi (CoRR, 2024)