Dualistic geometry of the manifold of higher-order neurons

[1]  S. Amari,et al.  Asymptotic theory of sequential estimation : Differential geometrical approach , 1991 .

[2]  Shun-ichi Amari,et al.  Mathematical foundations of neurocomputing , 1990, Proc. IEEE.

[3]  S. Amari Fisher information under restriction of Shannon information in multi-terminal situations , 1989 .

[4]  P. Vos Fundamental equations for statistical submanifolds with applications to the Bartlett correction , 1989 .

[5]  R. Kass The Geometry of Asymptotic Inference , 1989 .

[6]  Shun-ichi Amari,et al.  Statistical inference under multiterminal rate restrictions: A differential geometric approach , 1989, IEEE Trans. Inf. Theory.

[7]  S. Amari,et al.  Estimation in the Presence of Infinitely many Nuisance Parameters--Geometry of Estimating Functions , 1988 .

[8]  O. Barndorff-Nielsen Parametric statistical models and likelihood , 1988 .

[9]  Demetri Psaltis,et al.  Higher order associative memories and their optical implementations , 1988, Neural Networks.

[10]  Colin Giles,et al.  Learning, invariance, and generalization in high-order neural networks. , 1987, Applied optics.

[11]  D. Cox,et al.  The role of differential geometry in statistical theory , 1986 .

[12]  Shun-ichi Amari,et al.  Differential-geometrical methods in statistics , 1985 .

[13]  S. Amari Differential Geometry of Statistical Models , 1985 .

[14]  S. Amari,et al.  Geometrical theory of higher-order asymptotics of test, interval estimator and conditional inference , 1983, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[15]  Shun-ichi Amari,et al.  Differential geometry of statistical inference , 1983 .

[16]  S. Amari Differential Geometry of Curved Exponential Families-Curvatures and Information Loss , 1982 .

[17]  Shun-ichi Amari,et al.  A Theory of Adaptive Pattern Classifiers , 1967, IEEE Trans. Electron. Comput..