 S. Amari, On the Topological Foundations of Diakoptics and Codiakoptics. RAAG
Research Notes, 3rd Ser., No. 21, 36pp., December 1959.
 S. Amari, On the Information Contained in the Graph of a Network and Practical
Methods of Dissection in Diakoptics. RAAG Research Notes, 3rd Ser., No. 25, 51pp.,
March 1960.
 S. Amari, Topological and InformationTheoretical Foundations of Diakoptics and
Codiakoptics. Master's dissertation submitted to the University of Tokyo, March,
1960.
 S. Amari, Diakoptical Analysis of Eigenvalue Problems. RAAG Research Notes, 3rd
Ser., No. 27, 23pp., May 1960.
 K. Kondo and S. Amari, An Anholonomic Statistical Approach to SpaceTime,
Electromagnetism, Microscopic Physics and General Relativity Theory in Analogy
with Incompatibility, Plasticity and StressFunction. RAAG Research Notes, 3rd Ser.,
No. 42, 42pp., February 1961.
 M. Iri, S. Amari and M. Takata, Linear Programming with Weak Graphical
Representation. RAAG Research Notes, 3rd Ser., No. 47, 87pp., April 1961.
 S. Amari, T. Uehara and N. Oshima, A Teleparallelism Genealogy in NonRiemannian
Plasticity Theory. RAAG Research Notes, 3rd Ser., No. 49, 24pp., June 1961.
 S. Amari, A Geometrical Theory of Moving Dislocations and Anelasticity. RAAG
Research Notes, 3rd Ser., No. 52, 27pp., February 1972.
 S. Amari, Diakoptics of Information Spaces: I. A Geometrical Theory of Signal
Spaces in the Presence of Noise. RAAG Research Notes, 3rd Ser., No. 56, 41pp.,
October 1962.
 S. Amari, Diakoptics of Information Spaces. Doctoral dissertation submitted to the
University of Tokyo, March 1963.
 S. Amari, On Some Primary Structures of NonRiemannian Plasticity Theory. RAAG
Memoirs, Vol.3, DIX, pp. 99108, 1962.
 S. Amari, A Theory of Deformations and Stresses of Magnetic and Dielectric
Substances by Finsler Geometry. RAAG Memoirs, Vol.3, D XV, pp. 193214, 1962.
 S. Amari, Topological Foundations of Kron's Tearing of Electric Networks. RAAG
Memoirs, Vol.3, FVI, pp. 322350, 1962.
 S. Amari, InformationTheoretical Foundations of Diakoptics and Codiakoptics.
RAAG Memoirs, Vol.3, FVII, pp. 351371, 1962.
 K. Kondo, M. Takata and S. Amari, Analytical Structures of SpeechSounds,
Mechanical Composition and Decomposition of Phonemes and the Design Principle of
Primary Phonetical Automata. RAAG Memoirs, Vol.3, HVI, pp. 647692, 1962.
 K. Kondo, M. Iri and S. Amari, A Survey of the Recent Japanese Investigations in
Topological Network Theory and Diakoptics:I. Matrix and Tensor Quarterly, Vol.13,
No. 4, pp. 103108,1963.
 K. Kondo, M. Iri and S. Amari, A Survey of the Recent Japanese Investigations in
Topological Network Theory and Diakoptics: II. Matrix and Tensor Quarterly, Vol.14,
No. 1, pp. 1017, 1963.
 S. Amari, Diakoptics of Information Space : II. Tearing of Dimentionality of Signal
Space and ImbeddingReduction Scheme of Signal Space as the Basic Theory of
Modulation and Diversity. RAAG Research Notes, 3rd Ser., No. 60, 42pp., March
1963.
 S. Amari, Diakopties of Information Space: III. Tearing of Signal Spaces. RAAG
Research Notes, 3rd Ser., No. 74, 29pp., December 1963.
 S. Amari, On the Continuous Communication Networks Including Feedback Branches.
RAAG Research Notes., 3rd Ser., No. 75, 15pp., December 1963.
 S. Amari and K. Kagekawa, Dual Dislocations and NonRiemmannian Stress Space.
RAAG Research Notes, 3rd Ser., No. 82, 24pp., July 1963.
 S. Amari, Theory of Transformations of Signal Spaces. Int. Conf. Microwaves, Circuit
Theory and Information Theory, Tokyo, Part 3, I43, pp. 3940, 1964.
 S. Amari, Theory of Normalization in Pattern Recognition Systems. RAAG Research
Notes, 3rd Ser., No. 85, 39pp., January 1965.
 S. Amari, On the Concept of Dual Incompatibility and Dual Dislocation in Relation to
Fracture Problem. Int. Conf. Fracture, Sendai, Vol. 1, A4, pp. 1516, 1965.
 S.Amari, On Learning Decision Systems. RAAG Research Notes, No. 107, 20pp.,
January 1965.
 S. Amari, On the Concept of Dual Incompatibility and Dual Dislocation in Relation to
Fracture Problem. Proc. of First Int. Conf on Fracture, Vol. 1, pp. 6773, 1966.
 S. Amari, Theory of Adaptive Pattern Classifiers. IEEE Trans., EC16, No. 3,
pp. 299307,1967.
 S. Minagawa and S. Amari, On the Dual Yielding and Related Problems. Mechanics
of Generalized Continua. (E. Kruer ed., IUTAM Symposium, 1967), Springer,
pp. 283285,1968.
 S. Amari, A Dualistic Treatment of NonRiemannian Material Spaces. RAAG
Research Notes, 3rd Ser., No. 125, 32pp., March 1968.
 S. Amari, A Geometrical Theory of Moving Dislocations and Anelasticity. RAAG
Memoirs, Vol.4, DXVI, pp. 142152, 1968.
 S. Amari, NonRiemannian Stress Space and Dual Dislocations. RAAG Memoirs,
Vol.4, DXVII, pp. 153161, 1968.
 K. Kondo and S. Amari, A Constructive Approach to the NonRiemannian Features of
Dislocations and Spin Distributions in Terms of Finsler's Geometry and a Possible
Extension to the Spacetime Formalism. RAAG Memoirs, Vol.4, DXXIII, pp. 225238,
1968.
 K. Kondo, M. Shimbo and S. Amari, On the Standpoint of NonRiemannian Plasticity
Theory. RAAG Memoirs, Vol.4, pp. 205224, 1968.
 S. Amari, Theory of Information Spaces  A Geometrical Foundation of the
Analysis of Communication Systems. RAAG Memoirs, Vol.4, pp. 373418, 1968.
 M. Iri, S. Amari and M. Takata, Algebraical and Topological theory and Methods of
Linear Programming with Weak Graphical Representation. RAAG Memoirs, Vol.4,
GIX, pp. 420462, 1968.
 S. Amari, Invariant Structures of Signal and Feature Spaces in Pattern Recognition
Problems. RAAG Memoirs, Vol.4, III, pp. 553566, 1968.
 S. Amari, Theory of Learning Decision Systems. RAAG Memoirs, Vol.4, iHi,
pp. 567576, 1968.
 S. Amari, Characteristics of Randomly Connected ThresholdElement Networks and
Network Systems, Proc. IEEE., Vol.59, No. 1, pp. 3547, January 1971.
 S. Amari, Characteristics of Random Nets of Analog NeuronLike Elements. IEEE
Trans. Systems, Man and Cybernetics, Vol SMC2, No. 5, pp. 643657, November
1972 (also Artificial Neural Networks Theoretical Concepts, ed. Vemri, V., IEEE
Comp. Soc. 1988)
 S. Amari, Learning Patterns and Pattern Sequences by SelfOrganizing Nets of
Threshold Elements. IEEE Trans. Computers, Vol.C21, No. 11, pp. 11971206,
November 1972.
 S. Amari, A Method of Statistical Neurodynamics. Kybernetik, Vol. 14, pp. 201215,
(Heft 4) April 1974.
 S. Amari, Mathematical Theory of Nerve Nets. Advances in Biophysics (K. Kotani
ed.), Vol.6, pp. 75120, 1974.
 S. Amari, Homogeneous Nets of NeuronLike Elements. Biol. Cybernetics, Vol.17,
pp. 221235, 1975.
 S. Amari, Recent Japanese Investigations on SelfOrganizing Nerve Net Models. Brain
Theory Newsletter, Vol.1, No. 1, pp. 67, 1975.
 S. Amari, I. Lieblich and A. Karshmer, A Neural Model for the Handling of
Phenomena Associated with Trains of Light Stimuli. Brain Theory Newsletter, Vol.1,
No. 2, pp. 2023, 1975.
 S. Amari, Neural Net Theory. Brain Theory Newsletter, Vol.2, No. 3, pp. 4344, 1977.
 F. Lenherr, S. Yoshizawa and S. Amari, Models of Binocular Plasticity in Visual
Cortex. Brain Theory Newsletter, Vol.2, No. 4, pp. 6365, 1977.
 S. Amari, Neural Theory of Association and Concept Formation. Biological
Cybernetics, Vol.26, pp. 175185, 1977.
 S. Amari, K. Yoshida and K. Kanatani, A Mathematical Foundation for Statistical
Neurodynamics, SIAM J. Appl. Math., Vol.33, pp. 95126, 1977.
 S. Amari, Dynamics of Pattern Formation in LateralInhibition Type Neural Fields.
Biological Cybernetics, Vol.27, pp. 7787, 1977.
 S. Amari, A Mathematical Approach to Neural Systems. Systems Neuroscience (J.
Metzler ed.), pp. 67117, Academic Press, 1977.
 S. Amari and M. A. Arbib, Competition and Cooperation in Neural Nets. Systems
Neuroscience (J. Metzler ed.), pp. 119165, Academic Press, 1977.
 S. Amari, I. Lieblich and A. I. Karshmer, A Neural Model for the Handling of
Phenomena Associated with Trains of Light Stimuli: An Updated Version to Fit
Fusion Data. Systems Neuroscience (J. Metzler ed. ), pp. 5566, Academic Press, 1977.
 I. Lieblich and S. Amari, The Amygdaloid Kindling Phenomenon: A Tentative Model.
Systems Neuroscience (J. Metzler ed.), pp. 167182, Academic Press, 1977.
 S. Amari, Feature Spaces which Admit and Detect Invariant Signal Transformations.
Proc. 4th Int. J. Con. Pattern Recognition, Kyoto, pp. 452456, 1978.
 I. Lieblich and S. Amari, An Extended First Approximation Model for the
Amygdaloid Kindling Phenomenon. Biol. Cybernetics, Vol.28, pp. 129135, 1978.
 S. Amari and A. Takeuchi, Mathematical Theory on Formation of Category Detecting
Nerve Cells. Biol. Cybernetics, Vol.29, pp. 127136, 1978.
 S. Amari, Topographic Organization of Nerve Fields. Proc. Int. Symp. on Math.
Topics in Biol., Kyoto, pp. 102111, 1978.
 K. Kishimoto and S. Amari, Existence and Stability of Local Excitations in
Homogeneous Neural Fields. J. Math. Biology, Vol.7, pp. 303318, 1979.
 S. Amari, Topographic Organization of Nerve Fields, Neuroscience Letter,
Supplement 2, p.S20, 1979.
 A. Takeuchi and S. Amari, Formation of Topographic Maps and Columnar
Microstructures. Biol. Cybernetics, Vol.35, pp. 6372, 1979.
 S. Amari, Theory of SelfOrganizing Nerve Nets with Special Reference to
Association and Concept Formation. Proc. 6th Int.J. Con. on Artificial Intelligence,
Tokyo, pp. 1315, 1979.
 S. Amari, Theory of Information Space: A DifferentialGeometrical Foundation of
Statistics. Post RAAG Reports, No. 106, 53pp., 1980.
 S. Amari, Topographic Organization of Nerve Fields. Bull. of Math. Biology, Vol.42,
pp. 339364, 1980.
 S. Amari and A. Takeuchi, Formation of Topographic Maps and Columnar
Microstructures. Neuroscience Letters, S4, p.S23, 1980.
 S. Amari, Differential Geometry of Estimation : HigherOrder Efficiency in Curved
Exponential Families (with Appendix  aDistance and aConnection in the Function
Space of Distributions). Technical Reports, METR 811, 1981.
 S. Amari, Geometrical Theory of Asymptotic Ancillarity and Conditional Inference.
Technical Reports, METR 812, 1981.
 S. Amari and M. Kumon, Differential Geometry of Edgeworth Expansions in Curved
Exponential Family. Technical Reports, METR 817, 1981.
 S. Amari, Dualistic Theory of NonRiemannian Material Manifolds. Int. J. Engng. Sci.,
Vol.12, pp. 15811594, 1981.
 S. Amari, Mathematical Analysis of the Alopex Process for Determination of Visual
Receptive Fields. Neuroscience Letters, Vol.6, p.Sll9, 1981.
 M. Kumon and S. Amari, Geometrical Theory of HigherOrder Asymptotically Most
Powerful TwoSided Test. Technical Reports, METR 819, 1981.
 M. Kumon and S. Amari, Geometry of Interval Estimation: A HigherOrder
Asymptotic Theory. Technical Reports, METR 8110, 1981.
 S. Amari, A Mathematical Theory of SelfOrganizing Nerve Systems,
Biomathematics : Current Status and Future Perspectives (ed., L. M. Ricciardi and A.
Scott), NorthHolland, pp. 159177, 1982.
 S. Amari, A Mathematical Theory of SelfOrganizing Nerve Nets. Progress in
Cybernetics and Systems Research, Vol.9 (ed. by R. Trappl, L. Ricciardi, G. Pask),
Hemisphere, pp. 195204, 1982.
 S. Amari, Geometrical Theory of Asymprotic Ancillarity and Conditional Inference.
Biometrika, Vol.691, pp. 117, 1982.
 S. Amari, Differential Geometry of Curved Exponential Families  Curvatures and
Information Loss. Annals of Statistics, Vol.10, No. 2, pp. 357385, 1982.
 H. Nagaoka and S. Amari, Differential Geometry of Smooth Families of Probability
Distributions. METR 827, 1982.
 S. Amari, Competitive and Cooperative Aspects in Dynamics of Neural Excitation and
SelfOrganization. (ed. by S. Amari and M. A. Arbib, Competition and Cooperation in
Neural Nets, Springer Lecture Notes in Biomathematics), Vol.45, pp. 128, 1982.
 S. Amari and M. Kumon, Geometrical Theory of HigherOrder Asymptotics of Test,
Interval Estimator and Conditional Inference. METR 8349 1983.
 M. Kumon and S. Amari, Differential Geometry of Edgeworth Expansions in Curved
Exponential Family. Annals of the Institute of Statistical Mathematics, Vol.35, No. 1,
A, pp. 124, 1983.
 M. Kumon and S. Amari, Geometrical Theory of HigherOrder Asymptotics of Test,
Interval Estimator and Conditional Inference. Proc. R. Soc. Lond., A387, pp. 429458,
1983.
 M. Kumon and S. Amari, Estimation of Structural Parameter in the Presence of a
Large Number of Nuisance Parameters. METR 836, 1983.
 S. Amari, Differential Geometry of Statistical Inference. Probability Theory and
Mathematical Statistics (eds. K. Ito and J. V. Prokhorov, Springer Lecture Notes in
Math.), Vol.1021, pp. 2640, 1983.
 S. Amari, Field theory of selforganizing neural nets, IEEE Trans. Systems, Man and
Cybernetics, Vol.SMC13, NO. 9 \& 10, pp. 741748, 1983.
 S. Amari, Comparisons of Asymptotically Efficient Tests in Terms of Geometry of
Statistical Structures. Bull. Int. Statist. Inst., Proc. 44th Session, Book 2, 11901206,
Spain, 1983.
 S. Amari, Differential Geometry of Statistics  Towards New Developments. METR
841, 1984.
 M. Kumon and S. Amari, Estimation of Structural Parameter in the Presence of a
Large Number of Nuisance Parameters. Biometrika, 71, 3, pp. 445459, 1984.
 M. A. Arbib and S. Amari, SensoriMotor Transformations in the Brain (with a
Critique of the Tensor Theory of Cerebellum), J. of Theoretical Biology, Vol. 1 12, No.
1, 123155, January, 1985.
 S. Amari, Formation of Retinotopy and Columnar Microstructures by
SelfOrganization: A Mathematical Model. Models of the Visual Cortex (ed., O. Rose
and V. G. Dobson), John Wiley, pp. 157163, 1985.
 S. Amari, SelfOrganizing Capabilities of Neural Systems. Proc. Int. Symp. on
Electron Devices, Tokyo, pp. 113118, 1985.
 M. Kumon and S. Amari, Differential Geometry of Testing Hypothesis  A Higher
Order Asymptotic Theory in MultiParameter Curved Exponential Family. Technical
Reports, METR 851, 1985.
 S. Amari and M. Kumon, Optical Estimation in the Presence of Infinitely Many
Nuisance Parameters  Geometry of Estimating Functions. Technical Reports, METR
852, 1985.
 S. Amari and M. Maruyama, On the topological representation of signals in
selforganizing nerve fields. Mathematical Topics in Population Biology,
Morphogenesis and Neurosciences (eds. E. Teramoto and M. Yamaguti, Springer
Lecture Notes in Biomathematics, Vol.71), pp. 282291, 1985.
 S. Amari, Geometrical Theory on Manifolds of Linear Systems. Technical Reports,
METR 861, 1986.
 S. Amari, Differential Geometrical Method in Asymptotics of Statistical Inference.
Invited Paper, Proc. of the 1st Bernoulli Society World Congress on Mathematical
Statistics and Probability Theory, eds. Yu. Prohorov and V. V. Sazanov, vol.2, VNU
Press, pp. 195204, 1987.
 S. Amari and Te Sun Han, Statistical Inference under MultiTerminal Rate Restrictions
 A Differential Geometrical Approach. Technical Reports, METR 872, 1987.
 S. Amari, Differential Geometry in Statistical Inference. Proc. of ISI, vol.52, Book 2,
pp. 321338, Invited Paper, 6.1 46th Session of the ISI, 1987.
 S. Amari, Statistical curvature. in Encyclopedia of Statistical Sciences, Vol. 8, eds. S.
Kotz and N. L. Johnson, Wiley, pp. 642646, 1987.
 S. Amari, On mathematical methods in the theory of neural networks. Proc. 1 st IEEE
ICNN, Vol.III, pp. IU 3  Ell 10, 1987.
 M. Kumon and S. Amari, Differential geometry of testing hypothesis  a higher order
asymptotic theory in multiparameter curved exponential family. J. Fac. Eng., Univ.
Tokyo, Vol.B39, 3, pp. 241274, 1988.
 M. Maruyama and S. Amari, A theoretical study of recognition of moving objects by
monocular vision, Electronics and Communications in Japan, 68, 11, pp. 3039, 1985.
 S. Amari, Dual connections on the Hilbert Bundles of statistical models, in
Geometrization of Statistical Theory, ed. C. T. J. Dodson, ULDM Lancaster UK.,
pp. 123152, 1987.
 S. Amari, Differential geometry of a parametric family of invertible linear systems 
Riemannian metric, dual affine connections and divergence. Mathematical Systems
Theory, 20, pp. 5382, 1987.
 S. Amari, Differential Geometrical Theory of Statistics. in Differential Geometry in
Statistical Inference, IMS Monograph Series, Vol. 10, Chap.2, pp. 1994, IMS,
Heyward Cal., 1987.
 S. Amari, Neural Mechanisms of Information Processing in the Brain. Systems and
Computers in Japan, Vol. 18, No. 7, pp. 3145, 1987 (Translated from Denshi Tsushin
Gakkai Ronbunshi, Vol. 69 D, No. 8, August 1986, pp. 11331144)
 S. Amari and M. Maruyama, A theory on determination of 3D motion and 3D structure
from features. Spatial Vision, 2, 2, pp. 151168, 1987.
 S. Amari, Mathematical theory of selforganization in neural nets, in Organization of
neural networks, eds. W. von Seelen, G. Show and U. M. Leinhos, VCH Weinheim,
FRG, pp. 399413, 1988.
 S. Amari and K. Maginu, Statistical neurodynamics of associative memory. Neural
Networks, Vol. 1, No. 1, pp. 6373, 1988.
 S. Amari, Statistical neurodynamics of various versions of correlation associative
memory, Proc. 2nd ICNN, 1988.
 S. Amari, Mathematical methods of neurodynamics and selforganization, on
Biomathematics and Related Computational Problems, ed. L. M. Ricciardi, pp. 311,
Kluwer Academic, 1988.
 S. Amari, Dynamical stability of formation of cortical maps, in Dynamic Interactions
in Neural Networks: Models and Data, eds. M. A. Arbib and S. Amari, Springer
Research Notes in Neural Computation, vol. 1, pp. 1534, 1988.
 S. Amari, Statistical neurodynamics  associative memory and selforganization,
Coorperative Dynamics in Complex Physical Systems, ed. H. Takayama, pp. 239248,
SpringerVerlag, 1989.
 S. Amari, Associative memory and its statisticalneurodynamical analysis, Neural and
Synergetic Computers, ed. H. Haken, Springer, Series in Synergetics, 42, pp. 8599,
1988.
 S. Amari and M. Kumon, Estimation in the presence of infinitely many nuisance
parameters  geometry of estimating functions, Annals of Statistics, 16, pp.
10441068, 1988.
 S. Amari, Characteristics of Sparsely Encoded Associative Memory, Neural Networks,
2, No. 6, pp. 451473, 1989.
 S. Amari and T. S. Han, Statistical Inference under MultiTerminal Rate Restrictions
 a differential geometrical approach, IEEE Trans. on Information Theory, IT35, pp.
217227, 1989.
 S. Amari , Comments on The Geometry of Asymptotic Inference by E. Kass,
Statistical Science, 4, No. 3, pp. 188234, 1989.
 S. Amari , Fisher Information Under Restriction of Shannon Information in Multi 
Terminal Situations, Ann. Inst. Statist. Math. Vol. 41, No. 4, 623648 (1989).
 S. Amari , Formation of cortical cognitive map by selforganization. in Computational
neuroscience, ed. E. Schwartz, MIT Press, pp. 267277 (1990).
 I. Okamoto, S. Amari and K. Takeuchi , Asymptotic Theory of Sequential Estimation:
Differential Geometrical Approach. Annals of Statistics, 19, pp. 961981, 1991.
 H. Ito, S. Amari and K. Kobayashi , Identifiability of Hidden Markov Information
Sources and Their Minimum Degrees of Freedom, IEEE Transactions on Information
Theory, 1990.
 S. Amari, Mathematical Foundations of Neurocomputing, Proceedings of the IEEE,
Vol. 78, No. 9, pp. 14431463, September 1990.
 S. Amari , Dualistic Geometry of the Manifold of HigherOrder Neurons. Neural
Networks, 4, pp. 443451, 1991.
 S. Amari, K. Kurata and H. Nagaoka , Differential Geometry of Boltzmann Machines.
IEEE Transactions on Neural Networks, in press.
 S. Amari, Discussion to SmallSample Distributional Properties of Nonlinear
Regression Estimators (a Geometric Approach) by A. Pazman. Statistics, 21 3,
323367, 1990.
 S. Amari, Mathematical Theory of Neural Learning, New Generation Computing, 8,
281294, 1991.
 S. Amari, Neural Mechanisms of Information Processing in the Brain, Systems and
Computers in Japan, Vol. 18, No. 7, pp. 3145, 1987.
 S. Amari, Data Compression and Statistical Inference, Electronics and
Communications in Japan, Vol. 70, No. 11, pp. 1624, 1987.
 S. Amari, N. Fujita and S. Shinomoto, Four types of learning curves, Neural
Computation, 4, pp. 605618, 1992.
 S. Amari, Neural Computing (Extended Abstract), Geoinformatics, Vol. 2, No. 2, pp.
109112, 1991.
 C. Meunier, H. Yanai and S. Amari, Sparsely coded associative memories : Capacity
and dynamical properties, Network Computation in Neural Systems, vol 2. pp. 469487,
1991.
 S. Amari and N. Murata, Statistical theory of learning curves under entropic loss
criterion, Neural Computation, 5, pp. 140153, 1992.
 S. Amari, A Universal Theorem on Learning Curves, Neural Networks, vol.6, No.2,
pp. 161166, 1993.
 H. Ito, S. Amari, and K. Kobayashi, Identifiability of Hidden Markov Information
Sources and Their Minimum Degrees of Freedom, IEEE Trans. on Information Theory,
vol.38, No.2, pp. 324333, 1992.
 S. Amari, K. Kurata and H. Nagaoka, Information Geometry of Boltzmann Machines,
IEEE Trans. on Neural Networks, vol.3, No.2, pp. 260271, 1992.
 S. Amari, Information Geometry of Neural Networks, IEICE Trans., vol E75A, No. 5,
pp. 531536, 1992.
 N. Murata, S. Yoshizawa and S. Amari, A Criterion for Determining the Number of
Parameters in an Artificial Neural Network Model, in Artificial Neural Network (T.
Kohonen et al., eds.), (Holland), pp. 914, ICANN, Elsevier Science Publisher, July
1991.
 S. Amari, Learning Curves, Generalization Errors and Information Criteria, Artificial
Neural Networks, 2, 1, pp. 305311, I. Aleksander and J. Taylor (Editors), Elsevier
Science Publishers B. V., 1992.
 S. Yoshizawa, M. Morita and S. Amari, Capacity of AutocorrelationType Associative
Memory Using a NonMonotonic Neuron Model, Neural Networks, vol.6, No.2, pp.
167176, 1993.
 S. Amari, Universal Aspects on Learning Curves and Generalization Errors, Fifth
Italian Workshop, NEURAL NETS WIRN VIETRI92, vietri sul Mare, Salerno,
Edited by E. R. Caianiello, World Scientific, pp. 328, 1992.
 N. Murata, S. Yoshizawa and S. Amari, Learning Curves, Model Selection and
Complexity of Neural Networks, Neural Information Processing System 5, (S. J.
Hanson et al, eds), pp. 607614, Morgan Kaufmann Publishers, 1993.
 S. Amari, Neural Representation of Information by Sparse Encoding, Brain
Mechanisms of Perception and Memory from Neuron to Behavior, (T. Ono et al, eds),
pp. 630637, Oxford University Press, 1993.
 S. Amari, Backpropagation and Stochastic Gradient Descent Method,
Neurocomputing, vol. 5, No.45, pp. 185196. Elsevier, 1993.
 S. Amari and H. Yanai, Statistical Neurodynamics of Various Types of Associative
Nets, Associative Neural Memories Theory and implementation, pp. 169183, Edited
by Mohamad H. Hassoun, Oxford University Press, 1993.
 S. Amari, Mathematical methods of neurocomputing, Network and Chaos  Statistical
and Probabilistic Aspects, Monographs on Statistics and Applied Probability 50,
pp. 139, Edited by 0. E. BarndorffNielsen, J. L. Jensen and W. S. Kendall, Chapman
\& Hall, 1993.
 S. Amari, Differential geometry of estimating functions, Multivariate analysis :
directions 2, pp. 379383, C.M. Cuadras and C. R. Rao, editors, Elsevier Science
Publishers, 1993.
 S. Amari, Information geometry and manifolds of neural networks, in From Statistical
Physics to Statistical Inference and Back, eds. P. Grassberger and J.P. Nadal,
Kluwer Academic Publishers, pp. ll3138, 1994.
 N. Murata, S. Yoshizawa and S. Amari, Network Information Criterion  Determining
the Number of Hidden Units for an Artificial Neural Network Model, IEEE
Transactions on Neural Networks, Vol. 5, No. 6, pp. 865872, 1994.
 S. Amari, Comments on Neural Networks: A Review from a Statistical Perspective by
Bing Cheng and D. M. Titterington, Statistical Science, 9, No.1,254, pp. 3135, 1994.
 S. Amari, N. Murata and K. Ikeda, Universal properties of learning curves, Cognitive
Processing for Vision and Voice, ed. T. Ishiguro, pp. 7787, SIAM, Philadelphia,
1994.
 A. Ohara and S. Amari, Differential Geometric Structures of Stable State Feedback
Systems with Dual Connections, Kybernetika, Vol.30, No.4, pp. 369386, 1994.
 S. Amari, The EM Algorithm and Information Geometry in Neural Network Learning,
Neural Computation, Vol.7, No. 1, pp. 1318, January 1995.
 A. Fujiwara, S. Amari, Gradient Systems in View of Information Geometry, Physica
D, Vol.80, pp. 317327, 1995.
 A. Ohara, N. Suda, S. Amari, Dualistic Differential Geometry of Positive Definite
Matrices and Its Applications to Related Problems, Linear Algebra and its
Applications, 247, pp. 3153, 1996.
 S. Amari, Information geometry of the EM and em algorithms for neural networks,
Neural Networks, Vol.8, No. 9, pp. 13791408, 1995.
 S. Amari, N. Murata, K. Ikeda, Statistical Theory of Learning Curves, The Theory of
Neural Networks  The Statistics Mechanics Perspectives, ed. JohnHoon Oh, World
Scientific publishers, pp. 317, 1995.
 T. S. Han, S. Amari, Parameter Estimation with Multiterminal Data Compression,
IEEE Transactions on Information Theory, Vol. 41, No. 6, pp. 18021833, 1995.
 K. Hiraoka, S. Amari, Optimal Strategy under Unknown Stochastic Environment 
Nonparametric LobPass Problem, METR 9502, 1995.
 A. Date, K. Kurata and S. Amari, Information representation in a randomly and
symmetrically connected recurrent neural network, in Brain Processes, Theories and
Models, edited by R. MorenoDiaz and J. MiraMira, pp. 274283, The MIT Press,
1995.
 M. Kawanabe, S. Amari, Estimation of Network Parameters in Semiparametric
Stochastic Perceptron, Neural Computation, 6, pp. 12441261, 1994.
 HiroFumi Yanai and S. Amari, AutoAssociative Memory with TwoStage Dynamics
of Nonmonotonic Neurons, IEEE Trans. on Neural Networks, Vol.7, No.4, July 1996.
 S. Amari, N. Murata, K.R. Muller, M. Finke, H. Yang, Statistical Theory of
Overtraining  Is CrossValidation Asymptotically Effective?, Advances in Neural
Information Processing Systems 8, Proceedings of the 1995 Conference, edited by
David S. Touretzky, Michael C. Mozer and Michael E. Hasselmo, pp. 176182, 1996.
 K. Ikeda and S. Amari, Geometry of Admissible Parameter Region in Neural Learning,
IEICE Trans. Fundamentals, vol. E79A, No.6, 938943, 1996.
 H.F. Yanai and S. Amari, AutoAssociative Memory with TwoStage Dynamics of
Nonmonotonic Neurons, IEEE Trans. on Neural Networks, vol.7, No. 4, 803815,
1996.
 K.R Muller, M. Finke, N. Murata, K. Schulten and S. Amari, A Numerical Study on
Learning Curves in Stochastic Multilayer Feedforward Networks, Neural Computation,
8, 10851106, 1996.
 S.C. Douglas, A. Cichocki and S. Amari, FastConvergence Filtered Regressor
Algorithms for Blind Equalisation, Electronics Letters, vol.32, No.23, pp. 21142115,
1996.
 A. Cichocki, R. Thawonmas and S. Amari, Sequential Blind Signal Extraction in order
Specified by Stochastic Properties, Electronics Letters, vol.33, No.1, pp. 6465, 1997.
 S. Amari, A. Cichocki and H.H. Yang, A New Learning Algorithm for Blind Signal
Separation, Advances in Neural Information Processing Systems 8, Proceedings of the
1995 Conference NIPS, edited by David S. Touretzky, Michael C. Mozer and Michael
E. Hasselmo, pp. 757763.
 S. Amari and M. Kawanabe, Information geometry of estimating functions in semi
parametric statistical models, Bernoulli, 3(1), 2954, 1997.
 S. Amari, Information Geometry, Contemporary Mathematics, vol.203, 8195, 1997.
 S. Amari, Information Geometry, Mathematics of Neural Networks Models,
Algorithms and Applications, pp. 1523, Edited by S.W. Ellacott, J.C. Mason, I.J.
Anderson, Kluwer Academic Publishers, 1997.
 S. Amari and N. Murata, Statistical Analysis of Regularization Constant From
Bayes, MDL and NIC Points of View, Biological and Artificial Computation: From
Neuroscience to Technology (Proceedings of IWANN'97), pp. 284293, Edited by J.
Mira, R.Moreno Diaz, J. Cabestany, Springer, 1997.
 A. Cichocki, S. Amari and J. Cao, Neural Network Models for Blind Separation of
Time Delayed and Convolved Signals, IEICE Transactions on Fundamentals of
Electronics, Communications and Computer Sciences, Vol. E80A, No. 9, pp.
15951603, 1997.
 H.H. Yang and S. Amari, Adaptive Online Learninng Algorithms for Blind Separation:
Maximum Entropy and Minimum Mutual Information, Neural Computation, No. 9, pp.
14571482, 1997.
 S. Amari, N. Murata, K.R. Muller, M Finke and H. H. Yang, Asymptotic Statistical
Theory of Overtraining and CrossValidation, IEEE Transactions on Neural Networks,
Vol. 8, No. 5, pp. 985996, 1997.
 S. Amari, JF. Cardoso, Blind Source Separation  Semiparametric Statistical
Approach, IEEE Transactions on Signal Processing, Vol. 45, No. 11, pp. 26922700,
1997.
 S. Amari, TP. Chen and A. Cichocki, Stability Analysis of Learning Algorithms for
Blind Source Separation, Neural Networks, Vol. 10, No. 8, pp. 13451351, 1997.
 S. Amari, The Natural Gradient Learning Algorithm for Neural Networks, Theoretical
Aspects of Neural Computation A Multidisciplinary Perspective, Hong Kong
International Workshop (TANC'97), KwokYee Michael Wong, Irwin King, DitYan
Yeung (Eds.), Springer, pp. 115, 1998.
 S. Amari and N. Kasabov (Eds.), BrainLike Computing and Intelligent Information
Systems. Springer, 1998.
 S. Amari, Blind Source Separationn Mathematical Foundations, BrainLike
Computing and Intelligent Information Systems, S. Amari and N. Kasabov (Eds.),
Springer, pp. 153166, 1998.
 H. H. Yang, N. Murata, S. Amari, Statistical inference: learning in artificial neural
networks, Trends in Cognitive Sciences, Vol. 2, No. 1, pp. 410, 1998.
 S. Amari, Natural Gradient Works Efficiently in Learning, Neural Computation, 10, pp.
251276, 1998.
 W. Kasprzak, A. Cichocki and S. Amari, Blind Source Separation with Convolutive
Noise Cancellation, Neural Computing \& Applications, No. 6, pp. 127141, 1997.
 S. Amari and M. Kawanabe, Estimating Functions in Semiparametric Statistical
Models, IMS Selected Proceedings of the Symposium on Estimating Functions, I.V.
Basawa, V.P. Godambe and R.L. Taylor (Eds.), Vol. 32, pp. 6581, 1998.
 H. H. Yang, S. Amari and A. Cichocki, Informationtheoretic approach to blind
separation of sources in nonlinear mixture, Signal Processing, 64, pp. 291300, 1998.
 T.P. Chen, S. Amari and Q. Lin, A unified algorithm for principal and minor
components extraction, Neural Networks, Vol. 11, No. 3, pp. 385390, 1998.
 S.C. Douglas, A. Cichocki and S. Amari, Bias removal technique for blind source
separation with noisy measurements, Electronics Letters, Vol. 34, No. 14, pp.
13791380, 1998.
 S. Amari and A. Cichocki, Adaptive Blind Signal Processing Neural Network
Approaches, Proceedings of the IEEE, Vol. 86, No. 10, pp. 20262048, 1998.
 K. Hiraoka and S. Amari, Strategy Under the Unknown Stochastic Environment: the
Nonparametric LobPass Problem, Algorithmica, 22, pp. 138156, 1998.
 R. Thawonmas, A. Cichocki and S. Amari, A Cascade Neural Network for Blind
Signal Extraction without Spurious Equilibria, IEICE Transactions on Fundamentals
of Electronics, Communications and Computer Sciences, Vol. E81A, No. 9, pp.
18331846, 1998.
 M. Girolami, A. Cichocki and S. Amari, A Common NeuralNetwork Model for
Unsupervised Exploratory Data Analysis and Independent Component Analysis, IEEE
Transactions on Neural Networks, Vol. 9, No. 6, pp. 14951501, 1998.
 T.S. Han and S. Amari, Statistical Inference Under Multiterminal Data Compression,
IEEE Transactions on Information Theory, Vol. 44, No. 6, pp. 23002324, 1998.
 H.H. Yang and S. Amari, Complexity Issues in Natural Gradient Descent Method for
Training Multilayer Perceptrons, Neural Computation, 10, pp. 21372157, 1998.
 A. Cichocki, S.C. Douglas and S. Amari, Robust techniques for independent
component analysis (ICA) with noisy data, Neurocomputing, 22, pp. 113129, 1998.
 S.C. Douglas, S.Y. Kung and S. Amari, A SelfStabilized Minor Subspace Rule, IEEE
Signal Processing Letters, Vol. 5, No. 12, pp. 328330, 1998.
 M. Rattray, D. Saad and S. Amari, Natural Gradient Descent for OnLine Learning,
Physical Review Letters, Vol. 81, No. 24, pp. 54615464, 1998.
 S. Boes and S. Amari, Annealed Online Learning in Multilayer Neural Networks,
Online learning in neural networks (ed. D. Saad), Cambridge University Press, pp.
209229, 1998.
 S. C. Douglas, A. Cichocki and S. Amari, SelfWhitening Algorithms for Adaptive
Equalization and Deconvolution, IEEE Transactions on Signal Processing, Vol. 47, No.
4, pp. 11611165, 1999.
 N. Murata and S. Amari, Statistical analysis of learning dynamics, Signal Processing,
74, pp. 328, 1999.
 S. Amari, Superefficiency in Blind Source Separation, IEEE Transactions on Signal
Processing, Vol. 47, No. 4, pp. 936944, 1999.
 S. Ikeda, S. Amari and H. Nakahara, Convergence of The WakeSleep Algorithm,
Advances in Neural Information Processing Systems 11 (eds. by M. S. Kearns et al.),
The MIT Press, pp. 239245, 1999.
 KR. Muller, A. Ziehe, N. Murata and S. Amari, Online Learning in Switching and
Drifting Environments with Application to Blind Source Separation, Online Learning
in Neural Networks (ed. by D. Saad), Cambridge University Press, pp. 93110, 1999.
 S. Amari, Extraction of Independent Signals in the Brain, Recent Advances in
Biomagnetism (eds. by T. Yoshimoto et al.), Tohoku University Press, pp. 125128,
1999.
 A. Cichocki, J. Cao, S. Amari, N. Murata, T. Takeda and H. Endo, Enhancement of
Magnetoencephalographic Signals Using Independent Component Analysis, Recent
Advances in Biomagnetism (eds. by T. Yoshimoto et al.), Tohoku University Press, pp.
169172, 1999.
 O. Jahn, A. Cichocki, A. Ioannides and S. Amari, Identification and Elimination of
Artifacts from MEG Signals Using Efficient Independent Component Analysis,
Recent Advances in Biomagnetism (eds. by T. Yoshimoto et al.), Tohoku University
Press, pp. 224227, 1999.
 S. Amari and S. Wu, Improving support vector machine classifiers by modifying
kernel functions, Neural Networks, 12, pp. 783789, 1999.
 L.Q. Zhang, A. Cichocki and S. Amari, Natural Gradient for Blind Separation of
Overdetermined Mixture with Additive Noise, IEEE Signal Processing Letters, Vol. 6,
No. 11, pp. 293295, 1999.
 S. Amari, Natural Gradient Learning for Over and UnderComplete Bases in ICA,
Neural Computation, Vol. 11. No. 8, pp. 18751883, 1999.
 T.P. Chen and S. Amari, Dynamic behavior of the robust decorrelation process,
Neurocomputing, 30, pp. 143151, 2000.
 S. Amari, Estimating Functions of Independent Component Analysis for Temporally
Correlated Signals, Neural Computation, 12, pp. 11551179, 2000.
 S. Amari, T.P. Chen and A. Cichocki, Nonholonomic Orthogonal Learning Algorithms
for Blind Source Separation, Neural Computation, 12, pp. 14631484, 2000.
 S. C. Douglas and S. Amari, NaturalGradient Adaptation, Unsupervised Adaptive
Filtering, Volume I: Blind Source Separation (edited by Simon Haykin), John Wiley \&
Sons, Inc., pp. 1361, 2000.
 S. Amari, A. Cichocki and H. H. Yang, Blind Signal Separation and Extraction:Neural
and InformationTheoretic Approaches, Unsupervised Adaptive Filtering, Volume I:
Blind Source Separation (edited by Simon Haykin), John Wiley \& Sons, Inc., pp.
63138, 2000.
 M. V. Burnashev, S. Amari and T. S. Han, BSC: Testing of Hypotheses with
Information Constraints, Numbers, Information and Complexity (edited by I. Althofer
et al.), Kluwer Academic Publishers, pp. 489500, 2000.
 K. Fukumizu and S. Amari, Local minima and plateaus in hierarchical structures of
multilayer perceptrons, Neural Networks, 13, pp. 317327, 2000.
 S. Amari, HY. Park and K. Fukumizu, Adaptive Method of Realizing Natural
Gradient Learning for Multilayer Perceptrons, Neural Computation, 12, pp. 13991409,
2000.
 D. Boll? D.R.C. Dominguez and S. Amari, Mutual information of sparsely coded
associative memory with selfcontrol and ternary neurons, Neural Networks, 13, pp.
455462, 2000.
 J. Cao, N. Murata, S. Amari, A. Cichocki, T. Takeda, H. Endo and N. Harada,
SingleTrial Magnetoencephalographic Data Decomposition and Localization Based
on Independent Component Analysis Approach, IEICE Transactions on Fundamentals
of Electronics, Communications and Computer Sciences, Vol. E83A, No. 9, pp.
17571766, 2000.
 S. Amari and H. Nagaoka, Methods of Information Geometry, Translations of
Mathematical Monographs, vol. 191, Oxford University Press, 2000.
 S. Choi, A. Cichocki and S. Amari, Flexible Independent Component Analysis,
Journal of VLSI Signal Processing, 26, pp. 2538, 2000.
 H. Park, S. Amari and K. Fukumizu, Adaptive natural gradient learning algorithms for
various stochastic models, Neural Networks, 13, pp. 755764, 2000.
 S. Amari and T. Ozeki, Differential and Algebraic Geometry of Multilayer Perceptrons,
IEICE Trans. Fundamentals, Vol. E84A, No. 1, pp. 3138, 2001.
 M. V. Burnashev, S. Amari and T. S. Chan, On Some Problems of Hypothesis Testing
with Limited Available Information (in Russian), Theory of Probability and its
Applications (Russian Academy of Sciences), Vol. 45, Issue 4, pp. 625656, 2000.
 J. Takeuchi, N. Abe and S. Amari, The LobPass Problem, Journal of Computer and
Systems Sciences, 61, pp. 523557, 2000.
 T. Chen and S. Amari, Stability of Asymmetric Hopfield Networks, IEEE Transactions
on Neural Networks, Vol. 12, No. 1, pp. 159163, 2001.
 T. Chen and S. Amari, Exponential Convergence of Delayed Dynamical Systems,
Neural Computation, 13, pp. 621635, 2001.
 S. Wu, H. Nakahara and S. Amari, Population Coding with Correlation and an
Unfaithful Model, Neural Computation, 13, pp. 775797, 2001.
 T. Chen and S. Amari, New theorems on global convergence of some dynamical
systems, Neural Networks, 14, pp. 251255, 2001.
 S. Amari, S. Ikeda and H. Shimokawa, Information Geometry of aProjection in
Mean Field Approximation, Advanced Mean Field Methods: Theory and Practice
(edited by M. Opper and D. Saad), The MIT Press, pp. 241257, 2001.
 T. Chen, S. Amari and N. Murata, Sequential Extraction of Minor Components, Neural
Processing Letters, 13, pp. 195201, 2001.
 H. Nakahara, S. Wu and S. Amari, Attention Modulation of Neural Tuning Through
Peak and Base Rate, Neural Computation, 13, pp. 20312047, 2001.
 S. Amari, Information Geometry on Hierarchy of Probability Distributions, IEEE
Transactions on Information Theory, Vol.47, No. 5, pp. 17011711, 2001.
 S. Amari, H. Park and T. Ozeki, Statistical Inference in NonIdentifiable and Singular
Statistical Models, Journal of the Korean Statistical Society, Vol. 30, No. 2, pp.
179192, 2001.
 M. V. Burnashev, TS. Han and S. Amari, On some estimation problems with
information constraints (in Russian), Theory of Probability and its Applications
(Russian Academy of Sciences), Vol. 46, No. 2, pp. 233246, 2001.
 L.Q. Zhang, S. Amari and A. Cichocki, Semiparametric model and superefficiency in
blind deconvolution, Signal Processing, 81, pp. 25352553, 2001.
 T. Chen and S. Amari, Unified stabilization approach to principal and minor
components extraction algorithms, Neural Networks, 14, pp. 13771387, 2001.
 S. Wu and S. Amari, Conformal Transformation of Kernel Functions: A
DataDependent Way to Improve Support Vector Machine Classifiers, Neural
Processing Letters, 15, pp. 5967, 2002.
 S. Amari, Independent Component Analysis (ICA) and Method of Estimating
Functions, IEICE Trans. Fundamentals, Vol. E85A, No. 3, pp. 540547, 2002.
 S. A. CrucesAlvarez, A. Cichocki and S. Amari, On a new blind signal extraction
algorithm: Different criteria and stability analysis, IEEE Signal Processing Letters,
Vol. 9, pp. 233236, 2002.
 S. Amari, F. Beltrame, J. G. Bjaalie, T. Dalkara, E. D. Schutter, G. F. Egan, N. H. Goddard,
C. Gonzalez, S. Grillner, A. Herz, K.P. Hoffmann, I. Jaaskelainen, S. H. Koslow, SY. Lee,
L. Matthiessen, P. L. Miller, F. M. D. Silva, M. Novak, V. Ravindranath, R. Ritz, U. Ruotsalainen,
V. Sebestra, S. Subramaniam, Y. Tang, A. W. Toga, S. Usui, J. V. Pelt, P. Verschure, D. Willshaw and A. Wrobel,
Neuroinformatics: the integration of shared databases and tools towards integrative neuroscience,
Journal of Integrative Neuroscience, Vol. 1, No. 2, pp. 117128, 2002.
 H. Nakahara, S. Amari and O. Hikosaka, Selforganization in the basal ganglia
with modulation of reinforcement signals, Neural Computation, 14, pp. 819844, 2002.
 S. Wu, S. Amari and H. Nakahara, Population coding and decoding in a neural field:
a computational study, Neural Computation, 14, pp. 9991026, 2002.
 H. Nakahara and S. Amari, Informationgeometric measure for neural spikes, Neural
Computation, 14, pp. 22692316, 2002.
 T. Chen, W. Lu and S. Amari, Global convergence rate of recurrently connected
neural networks, Neural Computation, 14, pp. 29472957, 2002.
 H. Nakahara and S. Amari, Attention modulation of neural tuning through
peak and base rate in correlated firing, Neural Networks, Vol. 15, No. 1, pp. 4155, 2002.
 S. Choi, A. Cichocki and S. Amari, Equivariant nonstationary source separation,
Neural Networks, Vol. 15, No. 1, pp. 121130, 2002.
 J. Cao, N. Murata, S. Amari, A. Cichocki and T. Takeda, Independent component
analysis for unaveraged singletrial MEG data decomposition and singledipole source localization,
Neurocomputing, 49, pp. 255277, 2002.
 S. Wu, H. Nakahara and S. Amari, Asymptotic behaviors of population codes,
Neurocomputing, 4446, pp. 697702, 2002.
 M. V. Burnashev and S. Amari, On density estimation under relative entropy
loss criterion, Problems of Information Transmission, 38, pp. 323346, 2002.
 S. Amari and M. V. Burnashev, On some singularities in parameter estimation problems,
Problems of Information Transmission, Vol. 39, No. 4, pp. 352372, 2003.
 H. Nakahara, S. Nishimura, M. Inoue, G. Hori and S. Amari, Gene interaction
in DNA microarray data is decomposed by information geometric measure, Bioinformatics,
19, pp. 11241131, 2003.
 JT. Cao, N. Murata, S. Amari, A. Cichocki, T. Takeda, A robust approach to independent
component analysis of signals with highlevel noise measurements, IEEE Transactions on Neural
Networks, Vol. 14, No. 3, pp. 631645, 2003.
 S. Choi, A. Cichocki, LQ. Zhang and S. Amari, Approximate maximum
likelihood source separation using the natural gradient, IEICE Transactions on
Fundamentals of Electronics, Communications and Computer Sciences, 86A, pp. 198205, 2003.
 S. Amari, H. Nakahara, S. Wu and Y. Sakai, Synchronous firing and higherorder interactions
in neuron pool, Neural Computation, 15, pp. 127142, 2003.
 S. Wu, D. Chen, M. Niranjan and S. Amari, Sequential bayesian decoding with a population
of neurons, Neural Computation, 15, pp. 9931012, 2003.
 S. Watanabe and S. Amari, Learning coefficients of layered models when the true
distribution mismatches the singularities, Neural Computation, 15, pp. 10131033, 2003.
 P. Eckersley, G. F. Egan, S. Amari, F. Beltrame, R. Bennett, J. G. Bjaalie, T. Dalkara, E. D. Schutter, C. Gonzalez,
S. Grillner, A. Herz, P. K. Hoffmann, I. P. Jaaskelainen, S. H. Koslow, SY. Lee, L. Matthiessen, P. L. Miller,
F. M. D. Silva, M. Novak, V. Ravindranath, R. Ritz, U. Ruotsalainen, S. Subramaniam, A. W. Toga, S. Usui, J. V. Pelt,
P. Verschure, D. Willshaw, A. Wrobel and Y. Tang, Neuroscience data and tool sharing: A legal and policy framework
for neuroinformatics, Neuroinformatics Journal, 1, pp. 149165, 2003.
 S. Amari, T. Ozeki and HY. Park, Learning and inference in hierarchical models with
singularities, Systems and Computers in Japan, Vol. 34, No. 7, pp. 3442, 2003.
 M. Inoue, S. Nishimura, G. Hori, H. Nakahara, M. Saito, Y. Yoshihara and S. Amari,
Improved parameter estimation for variancestabilizing transformation of geneexpression
microarray data, Journal of Bioinformatics and Computational Biology, 2, pp. 669679, 2004.
 S. Amari, HY. Park, T. Ozeki and J. Antoch, Geometry of learning in multilayer perceptrons,
Proceedings in Computational Statistics, pp. 4960, 2004.
 S. Ikeda, T. Tanaka and S. Amari, Information geometry of turbo and lowdensity
paritycheck codes, IEEE Transactions on Information Theory, 50, pp. 10971114, 2004.
 LQ. Zhang, A. Cichocki and S. Amari, Multichannel blind deconvolution of
nonminimumphase systems using filter decomposition, IEEE Transactions on Signal
Processing, Vol. 52, No. 5, pp. 14301442, 2004.
 LQ. Zhang, A .Cichocki and S. Amari, Selfadaptive blind source separation
based on activation functions adaptation, IEEE Transactions on Neural Networks, Vol. 15, No. 2, pp. 233244, 2004.
 S. A. CrucesAlvarez, A. Cichocki and S. Amari, From blind signal extraction to blind
instantaneous signal separation:criteria, algorithms and stability, IEEE Transactions on
Neural Networks, Vol. 15, No. 4, pp. 859873, 2004.
 S. Wu, S. Amari and H. Nakahara, Information processing in a neuron ensemble with the
multiplicative correlation structure, Neural Networks, Vol. 17, No. 2, pp. 205214, 2004.
 HY. Park, N. Murata and S. Amari, Improving generalization performance of natural gradient
learning using optimized regularization by NIC, Neural Computation, 16, pp. 355382, 2004.
 Y. Li, A. Cichocki and S. Amari, Analysis of sparse representation and blind source separation,
Neural Computation, 16, pp. 11931234, 2004.
 S. Ikeda, T. Tanaka, S. Amari, Stochastic reasoning, free energy, and information geometry,
Neural Computation, 16, pp. 17791810, 2004.

