This page contains a chronologic list of selected publications in numerous scientific media. It is presented in various formats - and downloadable. If you do not find the electronic version of the article of your interest/choice, you may wish to request a reprint (subject to availability). Please, note that certain documents might be accessible only locally. Thank you very much for your understanding.


Downloadable List of Publications in Various Formats:

  1. S. Amari, On the Topological Foundations of Diakoptics and Codiakoptics. RAAG Research Notes, 3rd Ser., No. 21, 36pp., December 1959.
  2. 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.
  3. S. Amari, Topological and Information-Theoretical Foundations of Diakoptics and Codiakoptics. Master's dissertation submitted to the University of Tokyo, March, 1960.
  4. S. Amari, Diakoptical Analysis of Eigenvalue Problems. RAAG Research Notes, 3rd Ser., No. 27, 23pp., May 1960.
  5. K. Kondo and S. Amari, An Anholonomic Statistical Approach to Space-Time, Electromagnetism, Microscopic Physics and General Relativity Theory in Analogy with Incompatibility, Plasticity and Stress-Function. RAAG Research Notes, 3rd Ser., No. 42, 42pp., February 1961.
  6. M. Iri, S. Amari and M. Takata, Linear Programming with Weak Graphical Representation. RAAG Research Notes, 3rd Ser., No. 47, 87pp., April 1961.
  7. S. Amari, T. Uehara and N. Oshima, A Teleparallelism Genealogy in Non-Riemannian Plasticity Theory. RAAG Research Notes, 3rd Ser., No. 49, 24pp., June 1961.
  8. S. Amari, A Geometrical Theory of Moving Dislocations and Anelasticity. RAAG Research Notes, 3rd Ser., No. 52, 27pp., February 1972.
  9. 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.
  10. S. Amari, Diakoptics of Information Spaces. Doctoral dissertation submitted to the University of Tokyo, March 1963.
  11. S. Amari, On Some Primary Structures of Non-Riemannian Plasticity Theory. RAAG Memoirs, Vol.3, D-IX, pp. 99-108, 1962.
  12. S. Amari, A Theory of Deformations and Stresses of Magnetic and Dielectric Substances by Finsler Geometry. RAAG Memoirs, Vol.3, D- XV, pp. 193-214, 1962.
  13. S. Amari, Topological Foundations of Kron's Tearing of Electric Networks. RAAG Memoirs, Vol.3, F-VI, pp. 322-350, 1962.
  14. S. Amari, Information-Theoretical Foundations of Diakoptics and Codiakoptics. RAAG Memoirs, Vol.3, F-VII, pp. 351-371, 1962.
  15. K. Kondo, M. Takata and S. Amari, Analytical Structures of Speech-Sounds, Mechanical Composition and Decomposition of Phonemes and the Design Principle of Primary Phonetical Automata. RAAG Memoirs, Vol.3, H-VI, pp. 647-692, 1962.
  16. 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. 103-108,1963.
  17. 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. 10-17, 1963.
  18. S. Amari, Diakoptics of Information Space : II. Tearing of Dimentionality of Signal Space and Imbedding-Reduction Scheme of Signal Space as the Basic Theory of Modulation and Diversity. RAAG Research Notes, 3rd Ser., No. 60, 42pp., March 1963.
  19. S. Amari, Diakopties of Information Space: III. Tearing of Signal Spaces. RAAG Research Notes, 3rd Ser., No. 74, 29pp., December 1963.
  20. S. Amari, On the Continuous Communication Networks Including Feedback Branches. RAAG Research Notes., 3rd Ser., No. 75, 15pp., December 1963.
  21. S. Amari and K. Kagekawa, Dual Dislocations and Non-Riemmannian Stress Space. RAAG Research Notes, 3rd Ser., No. 82, 24pp., July 1963.
  22. S. Amari, Theory of Transformations of Signal Spaces. Int. Conf. Microwaves, Circuit Theory and Information Theory, Tokyo, Part 3, I4-3, pp. 39-40, 1964.
  23. S. Amari, Theory of Normalization in Pattern Recognition Systems. RAAG Research Notes, 3rd Ser., No. 85, 39pp., January 1965.
  24. S. Amari, On the Concept of Dual Incompatibility and Dual Dislocation in Relation to Fracture Problem. Int. Conf. Fracture, Sendai, Vol. 1, A-4, pp. 15-16, 1965.
  25. S.Amari, On Learning Decision Systems. RAAG Research Notes, No. 107, 20pp., January 1965.
  26. 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. 67-73, 1966.
  27. S. Amari, Theory of Adaptive Pattern Classifiers. IEEE Trans., EC-16, No. 3, pp. 299-307,1967.
  28. S. Minagawa and S. Amari, On the Dual Yielding and Related Problems. Mechanics of Generalized Continua. (E. Kruer ed., IUTAM Symposium, 1967), Springer, pp. 283-285,1968.
  29. S. Amari, A Dualistic Treatment of Non-Riemannian Material Spaces. RAAG Research Notes, 3rd Ser., No. 125, 32pp., March 1968.
  30. S. Amari, A Geometrical Theory of Moving Dislocations and Anelasticity. RAAG Memoirs, Vol.4, D-XVI, pp. 142-152, 1968.
  31. S. Amari, Non-Riemannian Stress Space and Dual Dislocations. RAAG Memoirs, Vol.4, D-XVII, pp. 153-161, 1968.
  32. K. Kondo and S. Amari, A Constructive Approach to the Non-Riemannian Features of Dislocations and Spin Distributions in Terms of Finsler's Geometry and a Possible Extension to the Space-time Formalism. RAAG Memoirs, Vol.4, D-XXIII, pp. 225-238, 1968.
  33. K. Kondo, M. Shimbo and S. Amari, On the Standpoint of Non-Riemannian Plasticity Theory. RAAG Memoirs, Vol.4, pp. 205-224, 1968.
  34. S. Amari, Theory of Information Spaces --- A Geometrical Foundation of the Analysis of Communication Systems. RAAG Memoirs, Vol.4, pp. 373-418, 1968.
  35. M. Iri, S. Amari and M. Takata, Algebraical and Topological theory and Methods of Linear Programming with Weak Graphical Representation. RAAG Memoirs, Vol.4, G-IX, pp. 420-462, 1968.
  36. S. Amari, Invariant Structures of Signal and Feature Spaces in Pattern Recognition Problems. RAAG Memoirs, Vol.4, I-II, pp. 553-566, 1968.
  37. S. Amari, Theory of Learning Decision Systems. RAAG Memoirs, Vol.4, i-Hi, pp. 567-576, 1968.
  38. S. Amari, Characteristics of Randomly Connected Threshold-Element Networks and Network Systems, Proc. IEEE., Vol.59, No. 1, pp. 35-47, January 1971.
  39. S. Amari, Characteristics of Random Nets of Analog Neuron-Like Elements. IEEE Trans. Systems, Man and Cybernetics, Vol SMC-2, No. 5, pp. 643-657, November 1972 (also Artificial Neural Networks Theoretical Concepts, ed. Vemri, V., IEEE Comp. Soc. 1988)
  40. S. Amari, Learning Patterns and Pattern Sequences by Self-Organizing Nets of Threshold Elements. IEEE Trans. Computers, Vol.C-21, No. 11, pp. 1197-1206, November 1972.
  41. S. Amari, A Method of Statistical Neurodynamics. Kybernetik, Vol. 14, pp. 201-215, (Heft 4) April 1974.
  42. S. Amari, Mathematical Theory of Nerve Nets. Advances in Biophysics (K. Kotani ed.), Vol.6, pp. 75-120, 1974.
  43. S. Amari, Homogeneous Nets of Neuron-Like Elements. Biol. Cybernetics, Vol.17, pp. 221-235, 1975.
  44. S. Amari, Recent Japanese Investigations on Self-Organizing Nerve Net Models. Brain Theory Newsletter, Vol.1, No. 1, pp. 6-7, 1975.
  45. 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. 20-23, 1975.
  46. S. Amari, Neural Net Theory. Brain Theory Newsletter, Vol.2, No. 3, pp. 43-44, 1977.
  47. F. Lenherr, S. Yoshizawa and S. Amari, Models of Binocular Plasticity in Visual Cortex. Brain Theory Newsletter, Vol.2, No. 4, pp. 63-65, 1977.
  48. S. Amari, Neural Theory of Association and Concept -Formation. Biological Cybernetics, Vol.26, pp. 175-185, 1977.
  49. S. Amari, K. Yoshida and K. Kanatani, A Mathematical Foundation for Statistical Neurodynamics, SIAM J. Appl. Math., Vol.33, pp. 95-126, 1977.
  50. S. Amari, Dynamics of Pattern Formation in Lateral-Inhibition Type Neural Fields. Biological Cybernetics, Vol.27, pp. 77-87, 1977.
  51. S. Amari, A Mathematical Approach to Neural Systems. Systems Neuroscience (J. Metzler ed.), pp. 67-117, Academic Press, 1977.
  52. S. Amari and M. A. Arbib, Competition and Cooperation in Neural Nets. Systems Neuroscience (J. Metzler ed.), pp. 119-165, Academic Press, 1977.
  53. 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. 55-66, Academic Press, 1977.
  54. I. Lieblich and S. Amari, The Amygdaloid Kindling Phenomenon: A Tentative Model. Systems Neuroscience (J. Metzler ed.), pp. 167-182, Academic Press, 1977.
  55. S. Amari, Feature Spaces which Admit and Detect Invariant Signal Transformations. Proc. 4th Int. J. Con. Pattern Recognition, Kyoto, pp. 452-456, 1978.
  56. I. Lieblich and S. Amari, An Extended First Approximation Model for the Amygdaloid Kindling Phenomenon. Biol. Cybernetics, Vol.28, pp. 129-135, 1978.
  57. S. Amari and A. Takeuchi, Mathematical Theory on Formation of Category Detecting Nerve Cells. Biol. Cybernetics, Vol.29, pp. 127-136, 1978.
  58. S. Amari, Topographic Organization of Nerve Fields. Proc. Int. Symp. on Math. Topics in Biol., Kyoto, pp. 102-111, 1978.
  59. K. Kishimoto and S. Amari, Existence and Stability of Local Excitations in Homogeneous Neural Fields. J. Math. Biology, Vol.7, pp. 303-318, 1979.
  60. S. Amari, Topographic Organization of Nerve Fields, Neuroscience Letter, Supplement 2, p.S-20, 1979.
  61. A. Takeuchi and S. Amari, Formation of Topographic Maps and Columnar Microstructures. Biol. Cybernetics, Vol.35, pp. 63-72, 1979.
  62. S. Amari, Theory of Self-Organizing Nerve Nets with Special Reference to Association and Concept Formation. Proc. 6th Int.J. Con. on Artificial Intelligence, Tokyo, pp. 13-15, 1979.
  63. S. Amari, Theory of Information Space: A Differential-Geometrical Foundation of Statistics. Post RAAG Reports, No. 106, 53pp., 1980.
  64. S. Amari, Topographic Organization of Nerve Fields. Bull. of Math. Biology, Vol.42, pp. 339-364, 1980.
  65. S. Amari and A. Takeuchi, Formation of Topographic Maps and Columnar Microstructures. Neuroscience Letters, S4, p.S23, 1980.
  66. S. Amari, Differential Geometry of Estimation : Higher-Order Efficiency in Curved Exponential Families (with Appendix --- a-Distance and a-Connection in the Function Space of Distributions). Technical Reports, METR 81-1, 1981.
  67. S. Amari, Geometrical Theory of Asymptotic Ancillarity and Conditional Inference. Technical Reports, METR 81-2, 1981.
  68. S. Amari and M. Kumon, Differential Geometry of Edgeworth Expansions in Curved Exponential Family. Technical Reports, METR 81-7, 1981.
  69. S. Amari, Dualistic Theory of Non-Riemannian Material Manifolds. Int. J. Engng. Sci., Vol.12, pp. 1581-1594, 1981.
  70. S. Amari, Mathematical Analysis of the Alopex Process for Determination of Visual Receptive Fields. Neuroscience Letters, Vol.6, p.Sll9, 1981.
  71. M. Kumon and S. Amari, Geometrical Theory of Higher-Order Asymptotically Most Powerful Two-Sided Test. Technical Reports, METR 81-9, 1981.
  72. M. Kumon and S. Amari, Geometry of Interval Estimation: A Higher-Order Asymptotic Theory. Technical Reports, METR 81-10, 1981.
  73. S. Amari, A Mathematical Theory of Self-Organizing Nerve Systems, Biomathematics : Current Status and Future Perspectives (ed., L. M. Ricciardi and A. Scott), North-Holland, pp. 159-177, 1982.
  74. S. Amari, A Mathematical Theory of Self-Organizing Nerve Nets. Progress in Cybernetics and Systems Research, Vol.9 (ed. by R. Trappl, L. Ricciardi, G. Pask), Hemisphere, pp. 195-204, 1982.
  75. S. Amari, Geometrical Theory of Asymprotic Ancillarity and Conditional Inference. Biometrika, Vol.69-1, pp. 1-17, 1982.
  76. S. Amari, Differential Geometry of Curved Exponential Families --- Curvatures and Information Loss. Annals of Statistics, Vol.10, No. 2, pp. 357-385, 1982.
  77. H. Nagaoka and S. Amari, Differential Geometry of Smooth Families of Probability Distributions. METR 82-7, 1982.
  78. S. Amari, Competitive and Cooperative Aspects in Dynamics of Neural Excitation and Self-Organization. (ed. by S. Amari and M. A. Arbib, Competition and Cooperation in Neural Nets, Springer Lecture Notes in Biomathematics), Vol.45, pp. 1-28, 1982.
  79. S. Amari and M. Kumon, Geometrical Theory of Higher-Order Asymptotics of Test, Interval Estimator and Conditional Inference. METR 83-49 1983.
  80. 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. 1-24, 1983.
  81. M. Kumon and S. Amari, Geometrical Theory of Higher-Order Asymptotics of Test, Interval Estimator and Conditional Inference. Proc. R. Soc. Lond., A387, pp. 429-458, 1983.
  82. M. Kumon and S. Amari, Estimation of Structural Parameter in the Presence of a Large Number of Nuisance Parameters. METR 83-6, 1983.
  83. 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. 26-40, 1983.
  84. S. Amari, Field theory of self-organizing neural nets, IEEE Trans. Systems, Man and Cybernetics, Vol.SMC-13, NO. 9 \& 10, pp. 741-748, 1983.
  85. S. Amari, Comparisons of Asymptotically Efficient Tests in Terms of Geometry of Statistical Structures. Bull. Int. Statist. Inst., Proc. 44th Session, Book 2, 1190-1206, Spain, 1983.
  86. S. Amari, Differential Geometry of Statistics --- Towards New Developments. METR 84-1, 1984.
  87. M. Kumon and S. Amari, Estimation of Structural Parameter in the Presence of a Large Number of Nuisance Parameters. Biometrika, 71, 3, pp. 445-459, 1984.
  88. M. A. Arbib and S. Amari, Sensori-Motor Transformations in the Brain (with a Critique of the Tensor Theory of Cerebellum), J. of Theoretical Biology, Vol. 1 12, No. 1, 123-155, January, 1985.
  89. S. Amari, Formation of Retinotopy and Columnar Microstructures by Self-Organization: A Mathematical Model. Models of the Visual Cortex (ed., O. Rose and V. G. Dobson), John Wiley, pp. 157-163, 1985.
  90. S. Amari, Self-Organizing Capabilities of Neural Systems. Proc. Int. Symp. on Electron Devices, Tokyo, pp. 113-118, 1985.
  91. M. Kumon and S. Amari, Differential Geometry of Testing Hypothesis - A Higher Order Asymptotic Theory in Multi-Parameter Curved Exponential Family. Technical Reports, METR 85-1, 1985.
  92. S. Amari and M. Kumon, Optical Estimation in the Presence of Infinitely Many Nuisance Parameters - Geometry of Estimating Functions. Technical Reports, METR 85-2, 1985.
  93. S. Amari and M. Maruyama, On the topological representation of signals in self-organizing nerve fields. Mathematical Topics in Population Biology, Morphogenesis and Neurosciences (eds. E. Teramoto and M. Yamaguti, Springer Lecture Notes in Biomathematics, Vol.71), pp. 282-291, 1985.
  94. S. Amari, Geometrical Theory on Manifolds of Linear Systems. Technical Reports, METR 86-1, 1986.
  95. 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. 195-204, 1987.
  96. S. Amari and Te Sun Han, Statistical Inference under Multi-Terminal Rate Restrictions --- A Differential Geometrical Approach. Technical Reports, METR 87-2, 1987.
  97. S. Amari, Differential Geometry in Statistical Inference. Proc. of ISI, vol.52, Book 2, pp. 321-338, Invited Paper, 6.1 46th Session of the ISI, 1987.
  98. S. Amari, Statistical curvature. in Encyclopedia of Statistical Sciences, Vol. 8, eds. S. Kotz and N. L. Johnson, Wiley, pp. 642-646, 1987.
  99. S. Amari, On mathematical methods in the theory of neural networks. Proc. 1 st IEEE ICNN, Vol.III, pp. IU 3 - Ell 10, 1987.
  100. 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.B-39, 3, pp. 241-274, 1988.
  101. M. Maruyama and S. Amari, A theoretical study of recognition of moving objects by monocular vision, Electronics and Communications in Japan, 68, 11, pp. 30-39, 1985.
  102. 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. 123-152, 1987.
  103. S. Amari, Differential geometry of a parametric family of invertible linear systems - Riemannian metric, dual affine connections and divergence. Mathematical Systems Theory, 20, pp. 53-82, 1987.
  104. S. Amari, Differential Geometrical Theory of Statistics. in Differential Geometry in Statistical Inference, IMS Monograph Series, Vol. 10, Chap.2, pp. 19-94, IMS, Heyward Cal., 1987.
  105. S. Amari, Neural Mechanisms of Information Processing in the Brain. Systems and Computers in Japan, Vol. 18, No. 7, pp. 31-45, 1987 (Translated from Denshi Tsushin Gakkai Ronbunshi, Vol. 69 -D, No. 8, August 1986, pp. 1133-1144)
  106. S. Amari and M. Maruyama, A theory on determination of 3D motion and 3D structure from features. Spatial Vision, 2, 2, pp. 151-168, 1987.
  107. S. Amari, Mathematical theory of self-organization in neural nets, in Organization of neural networks, eds. W. von Seelen, G. Show and U. M. Leinhos, VCH Weinheim, FRG, pp. 399-413, 1988.
  108. S. Amari and K. Maginu, Statistical neurodynamics of associative memory. Neural Networks, Vol. 1, No. 1, pp. 63-73, 1988.
  109. S. Amari, Statistical neurodynamics of various versions of correlation associative memory, Proc. 2nd ICNN, 1988.
  110. S. Amari, Mathematical methods of neurodynamics and self-organization, on Biomathematics and Related Computational Problems, ed. L. M. Ricciardi, pp. 3-11, Kluwer Academic, 1988.
  111. 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. 15-34, 1988.
  112. S. Amari, Statistical neurodynamics - associative memory and self-organization, Coorperative Dynamics in Complex Physical Systems, ed. H. Takayama, pp. 239-248, Springer-Verlag, 1989.
  113. S. Amari, Associative memory and its statistical-neurodynamical analysis, Neural and Synergetic Computers, ed. H. Haken, Springer, Series in Synergetics, 42, pp. 85-99, 1988.
  114. S. Amari and M. Kumon, Estimation in the presence of infinitely many nuisance parameters --- geometry of estimating functions, Annals of Statistics, 16, pp. 1044-1068, 1988.
  115. S. Amari, Characteristics of Sparsely Encoded Associative Memory, Neural Networks, 2, No. 6, pp. 451-473, 1989.
  116. S. Amari and T. S. Han, Statistical Inference under Multi-Terminal Rate Restrictions --- a differential geometrical approach, IEEE Trans. on Information Theory, IT-35, pp. 217-227, 1989.
  117. S. Amari , Comments on The Geometry of Asymptotic Inference by E. Kass, Statistical Science, 4, No. 3, pp. 188-234, 1989.
  118. S. Amari , Fisher Information Under Restriction of Shannon Information in Multi - Terminal Situations, Ann. Inst. Statist. Math. Vol. 41, No. 4, 623-648 (1989).
  119. S. Amari , Formation of cortical cognitive map by self-organization. in Computational neuroscience, ed. E. Schwartz, MIT Press, pp. 267-277 (1990).
  120. I. Okamoto, S. Amari and K. Takeuchi , Asymptotic Theory of Sequential Estimation: Differential Geometrical Approach. Annals of Statistics, 19, pp. 961-981, 1991.
  121. 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.
  122. S. Amari, Mathematical Foundations of Neurocomputing, Proceedings of the IEEE, Vol. 78, No. 9, pp. 1443-1463, September 1990.
  123. S. Amari , Dualistic Geometry of the Manifold of Higher-Order Neurons. Neural Networks, 4, pp. 443-451, 1991.
  124. S. Amari, K. Kurata and H. Nagaoka , Differential Geometry of Boltzmann Machines. IEEE Transactions on Neural Networks, in press.
  125. S. Amari, Discussion to Small-Sample Distributional Properties of Nonlinear Regression Estimators (a Geometric Approach) by A. Pazman. Statistics, 21 3, 323-367, 1990.
  126. S. Amari, Mathematical Theory of Neural Learning, New Generation Computing, 8, 281-294, 1991.
  127. S. Amari, Neural Mechanisms of Information Processing in the Brain, Systems and Computers in Japan, Vol. 18, No. 7, pp. 31-45, 1987.
  128. S. Amari, Data Compression and Statistical Inference, Electronics and Communications in Japan, Vol. 70, No. 11, pp. 16-24, 1987.
  129. S. Amari, N. Fujita and S. Shinomoto, Four types of learning curves, Neural Computation, 4, pp. 605-618, 1992.
  130. S. Amari, Neural Computing (Extended Abstract), Geoinformatics, Vol. 2, No. 2, pp. 109-112, 1991.
  131. C. Meunier, H. Yanai and S. Amari, Sparsely coded associative memories : Capacity and dynamical properties, Network Computation in Neural Systems, vol 2. pp. 469-487, 1991.
  132. S. Amari and N. Murata, Statistical theory of learning curves under entropic loss criterion, Neural Computation, 5, pp. 140-153, 1992.
  133. S. Amari, A Universal Theorem on Learning Curves, Neural Networks, vol.6, No.2, pp. 161-166, 1993.
  134. 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. 324-333, 1992.
  135. S. Amari, K. Kurata and H. Nagaoka, Information Geometry of Boltzmann Machines, IEEE Trans. on Neural Networks, vol.3, No.2, pp. 260-271, 1992.
  136. S. Amari, Information Geometry of Neural Networks, IEICE Trans., vol E75-A, No. 5, pp. 531-536, 1992.
  137. 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. 9-14, ICANN, Elsevier Science Publisher, July 1991.
  138. S. Amari, Learning Curves, Generalization Errors and Information Criteria, Artificial Neural Networks, 2, 1, pp. 305-311, I. Aleksander and J. Taylor (Editors), Elsevier Science Publishers B. V., 1992.
  139. S. Yoshizawa, M. Morita and S. Amari, Capacity of Autocorrelation-Type Associative Memory Using a Non-Monotonic Neuron Model, Neural Networks, vol.6, No.2, pp. 167-176, 1993.
  140. S. Amari, Universal Aspects on Learning Curves and Generalization Errors, Fifth Italian Workshop, NEURAL NETS WIRN VIETRI-92, vietri sul Mare, Salerno, Edited by E. R. Caianiello, World Scientific, pp. 3-28, 1992.
  141. 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. 607-614, Morgan Kaufmann Publishers, 1993.
  142. 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. 630-637, Oxford University Press, 1993.
  143. S. Amari, Backpropagation and Stochastic Gradient Descent Method, Neurocomputing, vol. 5, No.4-5, pp. 185-196. Elsevier, 1993.
  144. S. Amari and H. Yanai, Statistical Neurodynamics of Various Types of Associative Nets, Associative Neural Memories Theory and implementation, pp. 169-183, Edited by Mohamad H. Hassoun, Oxford University Press, 1993.
  145. S. Amari, Mathematical methods of neurocomputing, Network and Chaos - Statistical and Probabilistic Aspects, Monographs on Statistics and Applied Probability 50, pp. 1-39, Edited by 0. E. Barndorff-Nielsen, J. L. Jensen and W. S. Kendall, Chapman \& Hall, 1993.
  146. S. Amari, Differential geometry of estimating functions, Multivariate analysis : directions 2, pp. 379--383, C.M. Cuadras and C. R. Rao, editors, Elsevier Science Publishers, 1993.
  147. 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. ll3-138, 1994.
  148. 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. 865-872, 1994.
  149. S. Amari, Comments on Neural Networks: A Review from a Statistical Perspective by Bing Cheng and D. M. Titterington, Statistical Science, 9, No.1,2-54, pp. 31-35, 1994.
  150. S. Amari, N. Murata and K. Ikeda, Universal properties of learning curves, Cognitive Processing for Vision and Voice, ed. T. Ishiguro, pp. 77-87, SIAM, Philadelphia, 1994.
  151. A. Ohara and S. Amari, Differential Geometric Structures of Stable State Feedback Systems with Dual Connections, Kybernetika, Vol.30, No.4, pp. 369-386, 1994.
  152. S. Amari, The EM Algorithm and Information Geometry in Neural Network Learning, Neural Computation, Vol.7, No. 1, pp. 13-18, January 1995.
  153. A. Fujiwara, S. Amari, Gradient Systems in View of Information Geometry, Physica D, Vol.80, pp. 317-327, 1995.
  154. 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. 31-53, 1996.
  155. S. Amari, Information geometry of the EM and em algorithms for neural networks, Neural Networks, Vol.8, No. 9, pp. 1379-1408, 1995.
  156. S. Amari, N. Murata, K. Ikeda, Statistical Theory of Learning Curves, The Theory of Neural Networks - The Statistics Mechanics Perspectives, ed. John-Hoon Oh, World Scientific publishers, pp. 3-17, 1995.
  157. T. S. Han, S. Amari, Parameter Estimation with Multiterminal Data Compression, IEEE Transactions on Information Theory, Vol. 41, No. 6, pp. 1802-1833, 1995.
  158. K. Hiraoka, S. Amari, Optimal Strategy under Unknown Stochastic Environment --- Nonparametric Lob-Pass Problem, METR 95-02, 1995.
  159. 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. Moreno-Diaz and J. Mira-Mira, pp. 274-283, The MIT Press, 1995.
  160. M. Kawanabe, S. Amari, Estimation of Network Parameters in Semiparametric Stochastic Perceptron, Neural Computation, 6, pp. 1244-1261, 1994.
  161. Hiro-Fumi Yanai and S. Amari, Auto-Associative Memory with Two-Stage Dynamics of Nonmonotonic Neurons, IEEE Trans. on Neural Networks, Vol.7, No.4, July 1996.
  162. S. Amari, N. Murata, K.-R. Muller, M. Finke, H. Yang, Statistical Theory of Overtraining --- Is Cross-Validation 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. 176-182, 1996.
  163. K. Ikeda and S. Amari, Geometry of Admissible Parameter Region in Neural Learning, IEICE Trans. Fundamentals, vol. E79-A, No.6, 938-943, 1996.
  164. H.-F. Yanai and S. Amari, Auto-Associative Memory with Two-Stage Dynamics of Nonmonotonic Neurons, IEEE Trans. on Neural Networks, vol.7, No. 4, 803-815, 1996.
  165. 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, 1085-1106, 1996.
  166. S.C. Douglas, A. Cichocki and S. Amari, Fast-Convergence Filtered Regressor Algorithms for Blind Equalisation, Electronics Letters, vol.32, No.23, pp. 2114-2115, 1996.
  167. A. Cichocki, R. Thawonmas and S. Amari, Sequential Blind Signal Extraction in order Specified by Stochastic Properties, Electronics Letters, vol.33, No.1, pp. 64-65, 1997.
  168. 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. 757-763.
  169. S. Amari and M. Kawanabe, Information geometry of estimating functions in semi parametric statistical models, Bernoulli, 3(1), 29-54, 1997.
  170. S. Amari, Information Geometry, Contemporary Mathematics, vol.203, 81-95, 1997.
  171. S. Amari, Information Geometry, Mathematics of Neural Networks ---Models, Algorithms and Applications, pp. 15-23, Edited by S.W. Ellacott, J.C. Mason, I.J. Anderson, Kluwer Academic Publishers, 1997.
  172. 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. 284-293, Edited by J. Mira, R.Moreno- Diaz, J. Cabestany, Springer, 1997.
  173. 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. E80-A, No. 9, pp. 1595-1603, 1997.
  174. H.H. Yang and S. Amari, Adaptive Online Learninng Algorithms for Blind Separation: Maximum Entropy and Minimum Mutual Information, Neural Computation, No. 9, pp. 1457-1482, 1997.
  175. S. Amari, N. Murata, K.-R. Muller, M Finke and H. H. Yang, Asymptotic Statistical Theory of Overtraining and Cross-Validation, IEEE Transactions on Neural Networks, Vol. 8, No. 5, pp. 985-996, 1997.
  176. S. Amari, J-F. Cardoso, Blind Source Separation --- Semiparametric Statistical Approach, IEEE Transactions on Signal Processing, Vol. 45, No. 11, pp. 2692-2700, 1997.
  177. S. Amari, T-P. Chen and A. Cichocki, Stability Analysis of Learning Algorithms for Blind Source Separation, Neural Networks, Vol. 10, No. 8, pp. 1345-1351, 1997.
  178. S. Amari, The Natural Gradient Learning Algorithm for Neural Networks, Theoretical Aspects of Neural Computation ---A Multidisciplinary Perspective, Hong Kong International Workshop (TANC'97), Kwok-Yee Michael Wong, Irwin King, Dit-Yan Yeung (Eds.), Springer, pp. 1-15, 1998.
  179. S. Amari and N. Kasabov (Eds.), Brain-Like Computing and Intelligent Information Systems. Springer, 1998.
  180. S. Amari, Blind Source Separationn ---Mathematical Foundations, Brain-Like Computing and Intelligent Information Systems, S. Amari and N. Kasabov (Eds.), Springer, pp. 153-166, 1998.
  181. H. H. Yang, N. Murata, S. Amari, Statistical inference: learning in artificial neural networks, Trends in Cognitive Sciences, Vol. 2, No. 1, pp. 4-10, 1998.
  182. S. Amari, Natural Gradient Works Efficiently in Learning, Neural Computation, 10, pp. 251-276, 1998.
  183. W. Kasprzak, A. Cichocki and S. Amari, Blind Source Separation with Convolutive Noise Cancellation, Neural Computing \& Applications, No. 6, pp. 127-141, 1997.
  184. 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. 65-81, 1998.
  185. H. H. Yang, S. Amari and A. Cichocki, Information-theoretic approach to blind separation of sources in non-linear mixture, Signal Processing, 64, pp. 291-300, 1998.
  186. T.P. Chen, S. Amari and Q. Lin, A unified algorithm for principal and minor components extraction, Neural Networks, Vol. 11, No. 3, pp. 385-390, 1998.
  187. 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. 1379-1380, 1998.
  188. S. Amari and A. Cichocki, Adaptive Blind Signal Processing ---Neural Network Approaches, Proceedings of the IEEE, Vol. 86, No. 10, pp. 2026-2048, 1998.
  189. K. Hiraoka and S. Amari, Strategy Under the Unknown Stochastic Environment: the Nonparametric Lob-Pass Problem, Algorithmica, 22, pp. 138-156, 1998.
  190. 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. E81-A, No. 9, pp. 1833-1846, 1998.
  191. M. Girolami, A. Cichocki and S. Amari, A Common Neural-Network Model for Unsupervised Exploratory Data Analysis and Independent Component Analysis, IEEE Transactions on Neural Networks, Vol. 9, No. 6, pp. 1495-1501, 1998.
  192. T.S. Han and S. Amari, Statistical Inference Under Multiterminal Data Compression, IEEE Transactions on Information Theory, Vol. 44, No. 6, pp. 2300-2324, 1998.
  193. H.H. Yang and S. Amari, Complexity Issues in Natural Gradient Descent Method for Training Multilayer Perceptrons, Neural Computation, 10, pp. 2137-2157, 1998.
  194. A. Cichocki, S.C. Douglas and S. Amari, Robust techniques for independent component analysis (ICA) with noisy data, Neurocomputing, 22, pp. 113-129, 1998.
  195. S.C. Douglas, S.-Y. Kung and S. Amari, A Self-Stabilized Minor Subspace Rule, IEEE Signal Processing Letters, Vol. 5, No. 12, pp. 328-330, 1998.
  196. M. Rattray, D. Saad and S. Amari, Natural Gradient Descent for On-Line Learning, Physical Review Letters, Vol. 81, No. 24, pp. 5461-5464, 1998.
  197. S. Boes and S. Amari, Annealed Online Learning in Multilayer Neural Networks, On-line learning in neural networks (ed. D. Saad), Cambridge University Press, pp. 209-229, 1998.
  198. S. C. Douglas, A. Cichocki and S. Amari, Self-Whitening Algorithms for Adaptive Equalization and Deconvolution, IEEE Transactions on Signal Processing, Vol. 47, No. 4, pp. 1161-1165, 1999.
  199. N. Murata and S. Amari, Statistical analysis of learning dynamics, Signal Processing, 74, pp. 3-28, 1999.
  200. S. Amari, Superefficiency in Blind Source Separation, IEEE Transactions on Signal Processing, Vol. 47, No. 4, pp. 936-944, 1999.
  201. S. Ikeda, S. Amari and H. Nakahara, Convergence of The Wake-Sleep Algorithm, Advances in Neural Information Processing Systems 11 (eds. by M. S. Kearns et al.), The MIT Press, pp. 239-245, 1999.
  202. K-R. Muller, A. Ziehe, N. Murata and S. Amari, On-line Learning in Switching and Drifting Environments with Application to Blind Source Separation, On-line Learning in Neural Networks (ed. by D. Saad), Cambridge University Press, pp. 93-110, 1999.
  203. S. Amari, Extraction of Independent Signals in the Brain, Recent Advances in Biomagnetism (eds. by T. Yoshimoto et al.), Tohoku University Press, pp. 125-128, 1999.
  204. 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. 169-172, 1999.
  205. 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. 224-227, 1999.
  206. S. Amari and S. Wu, Improving support vector machine classifiers by modifying kernel functions, Neural Networks, 12, pp. 783-789, 1999.
  207. 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. 293-295, 1999.
  208. S. Amari, Natural Gradient Learning for Over- and Under-Complete Bases in ICA, Neural Computation, Vol. 11. No. 8, pp. 1875-1883, 1999.
  209. T.P. Chen and S. Amari, Dynamic behavior of the robust decorrelation process, Neurocomputing, 30, pp. 143-151, 2000.
  210. S. Amari, Estimating Functions of Independent Component Analysis for Temporally Correlated Signals, Neural Computation, 12, pp. 1155-1179, 2000.
  211. S. Amari, T.P. Chen and A. Cichocki, Nonholonomic Orthogonal Learning Algorithms for Blind Source Separation, Neural Computation, 12, pp. 1463-1484, 2000.
  212. S. C. Douglas and S. Amari, Natural-Gradient Adaptation, Unsupervised Adaptive Filtering, Volume I: Blind Source Separation (edited by Simon Haykin), John Wiley \& Sons, Inc., pp. 13-61, 2000.
  213. S. Amari, A. Cichocki and H. H. Yang, Blind Signal Separation and Extraction:Neural and Information-Theoretic Approaches, Unsupervised Adaptive Filtering, Volume I: Blind Source Separation (edited by Simon Haykin), John Wiley \& Sons, Inc., pp. 63-138, 2000.
  214. 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. 489-500, 2000.
  215. K. Fukumizu and S. Amari, Local minima and plateaus in hierarchical structures of multilayer perceptrons, Neural Networks, 13, pp. 317-327, 2000.
  216. S. Amari, H-Y. Park and K. Fukumizu, Adaptive Method of Realizing Natural Gradient Learning for Multilayer Perceptrons, Neural Computation, 12, pp. 1399-1409, 2000.
  217. D. Boll? D.R.C. Dominguez and S. Amari, Mutual information of sparsely coded associative memory with self-control and ternary neurons, Neural Networks, 13, pp. 455-462, 2000.
  218. J. Cao, N. Murata, S. Amari, A. Cichocki, T. Takeda, H. Endo and N. Harada, Single-Trial Magnetoencephalographic Data Decomposition and Localization Based on Independent Component Analysis Approach, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E83-A, No. 9, pp. 1757-1766, 2000.
  219. S. Amari and H. Nagaoka, Methods of Information Geometry, Translations of Mathematical Monographs, vol. 191, Oxford University Press, 2000.
  220. S. Choi, A. Cichocki and S. Amari, Flexible Independent Component Analysis, Journal of VLSI Signal Processing, 26, pp. 25-38, 2000.
  221. H. Park, S. Amari and K. Fukumizu, Adaptive natural gradient learning algorithms for various stochastic models, Neural Networks, 13, pp. 755-764, 2000.
  222. S. Amari and T. Ozeki, Differential and Algebraic Geometry of Multilayer Perceptrons, IEICE Trans. Fundamentals, Vol. E84-A, No. 1, pp. 31-38, 2001.
  223. 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. 625-656, 2000.
  224. J. Takeuchi, N. Abe and S. Amari, The Lob-Pass Problem, Journal of Computer and Systems Sciences, 61, pp. 523-557, 2000.
  225. T. Chen and S. Amari, Stability of Asymmetric Hopfield Networks, IEEE Transactions on Neural Networks, Vol. 12, No. 1, pp. 159-163, 2001.
  226. T. Chen and S. Amari, Exponential Convergence of Delayed Dynamical Systems, Neural Computation, 13, pp. 621-635, 2001.
  227. S. Wu, H. Nakahara and S. Amari, Population Coding with Correlation and an Unfaithful Model, Neural Computation, 13, pp. 775-797, 2001.
  228. T. Chen and S. Amari, New theorems on global convergence of some dynamical systems, Neural Networks, 14, pp. 251-255, 2001.
  229. S. Amari, S. Ikeda and H. Shimokawa, Information Geometry of a-Projection in Mean Field Approximation, Advanced Mean Field Methods: Theory and Practice (edited by M. Opper and D. Saad), The MIT Press, pp. 241-257, 2001.
  230. T. Chen, S. Amari and N. Murata, Sequential Extraction of Minor Components, Neural Processing Letters, 13, pp. 195-201, 2001.
  231. H. Nakahara, S. Wu and S. Amari, Attention Modulation of Neural Tuning Through Peak and Base Rate, Neural Computation, 13, pp. 2031-2047, 2001.
  232. S. Amari, Information Geometry on Hierarchy of Probability Distributions, IEEE Transactions on Information Theory, Vol.47, No. 5, pp. 1701-1711, 2001.
  233. S. Amari, H. Park and T. Ozeki, Statistical Inference in Non-Identifiable and Singular Statistical Models, Journal of the Korean Statistical Society, Vol. 30, No. 2, pp. 179-192, 2001.
  234. M. V. Burnashev, T-S. 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. 233-246, 2001.
  235. L.-Q. Zhang, S. Amari and A. Cichocki, Semiparametric model and superefficiency in blind deconvolution, Signal Processing, 81, pp. 2535-2553, 2001.
  236. T. Chen and S. Amari, Unified stabilization approach to principal and minor components extraction algorithms, Neural Networks, 14, pp. 1377-1387, 2001.
  237. S. Wu and S. Amari, Conformal Transformation of Kernel Functions: A Data-Dependent Way to Improve Support Vector Machine Classifiers, Neural Processing Letters, 15, pp. 59-67, 2002.
  238. S. Amari, Independent Component Analysis (ICA) and Method of Estimating Functions, IEICE Trans. Fundamentals, Vol. E85-A, No. 3, pp. 540-547, 2002.
  239. S. A. Cruces-Alvarez, A. Cichocki and S. Amari, On a new blind signal extraction algorithm: Different criteria and stability analysis, IEEE Signal Processing Letters, Vol. 9, pp. 233-236, 2002.
  240. 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, S-Y. 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. 117-128, 2002.
  241. H. Nakahara, S. Amari and O. Hikosaka, Self-organization in the basal ganglia with modulation of reinforcement signals, Neural Computation, 14, pp. 819-844, 2002.
  242. S. Wu, S. Amari and H. Nakahara, Population coding and decoding in a neural field: a computational study, Neural Computation, 14, pp. 999-1026, 2002.
  243. H. Nakahara and S. Amari, Information-geometric measure for neural spikes, Neural Computation, 14, pp. 2269-2316, 2002.
  244. T. Chen, W. Lu and S. Amari, Global convergence rate of recurrently connected neural networks, Neural Computation, 14, pp. 2947-2957, 2002.
  245. 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. 41-55, 2002.
  246. S. Choi, A. Cichocki and S. Amari, Equivariant nonstationary source separation, Neural Networks, Vol. 15, No. 1, pp. 121-130, 2002.
  247. J. Cao, N. Murata, S. Amari, A. Cichocki and T. Takeda, Independent component analysis for unaveraged single-trial MEG data decomposition and single-dipole source localization, Neurocomputing, 49, pp. 255-277, 2002.
  248. S. Wu, H. Nakahara and S. Amari, Asymptotic behaviors of population codes, Neurocomputing, 44-46, pp. 697-702, 2002.
  249. M. V. Burnashev and S. Amari, On density estimation under relative entropy loss criterion, Problems of Information Transmission, 38, pp. 323-346, 2002.
  250. S. Amari and M. V. Burnashev, On some singularities in parameter estimation problems, Problems of Information Transmission, Vol. 39, No. 4, pp. 352-372, 2003.
  251. 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. 1124-1131, 2003.
  252. J-T. Cao, N. Murata, S. Amari, A. Cichocki, T. Takeda, A robust approach to independent component analysis of signals with high-level noise measurements, IEEE Transactions on Neural Networks, Vol. 14, No. 3, pp. 631-645, 2003.
  253. S. Choi, A. Cichocki, L-Q. Zhang and S. Amari, Approximate maximum likelihood source separation using the natural gradient, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 86-A, pp. 198-205, 2003.
  254. S. Amari, H. Nakahara, S. Wu and Y. Sakai, Synchronous firing and higher-order interactions in neuron pool, Neural Computation, 15, pp. 127-142, 2003.
  255. S. Wu, D. Chen, M. Niranjan and S. Amari, Sequential bayesian decoding with a population of neurons, Neural Computation, 15, pp. 993-1012, 2003.
  256. S. Watanabe and S. Amari, Learning coefficients of layered models when the true distribution mismatches the singularities, Neural Computation, 15, pp. 1013-1033, 2003.
  257. 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, S-Y. 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. 149-165, 2003.
  258. S. Amari, T. Ozeki and H-Y. Park, Learning and inference in hierarchical models with singularities, Systems and Computers in Japan, Vol. 34, No. 7, pp. 34-42, 2003.
  259. M. Inoue, S. Nishimura, G. Hori, H. Nakahara, M. Saito, Y. Yoshihara and S. Amari, Improved parameter estimation for variance-stabilizing transformation of gene-expression microarray data, Journal of Bioinformatics and Computational Biology, 2, pp. 669-679, 2004.
  260. S. Amari, H-Y. Park, T. Ozeki and J. Antoch, Geometry of learning in multilayer perceptrons, Proceedings in Computational Statistics, pp. 49-60, 2004.
  261. S. Ikeda, T. Tanaka and S. Amari, Information geometry of turbo and low-density parity-check codes, IEEE Transactions on Information Theory, 50, pp. 1097-1114, 2004.
  262. L-Q. Zhang, A. Cichocki and S. Amari, Multichannel blind deconvolution of nonminimum-phase systems using filter decomposition, IEEE Transactions on Signal Processing, Vol. 52, No. 5, pp. 1430-1442, 2004.
  263. L-Q. Zhang, A .Cichocki and S. Amari, Self-adaptive blind source separation based on activation functions adaptation, IEEE Transactions on Neural Networks, Vol. 15, No. 2, pp. 233-244, 2004.
  264. S. A. Cruces-Alvarez, 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. 859-873, 2004.
  265. 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. 205-214, 2004.
  266. H-Y. Park, N. Murata and S. Amari, Improving generalization performance of natural gradient learning using optimized regularization by NIC, Neural Computation, 16, pp. 355-382, 2004.
  267. Y. Li, A. Cichocki and S. Amari, Analysis of sparse representation and blind source separation, Neural Computation, 16, pp. 1193-1234, 2004.
  268. S. Ikeda, T. Tanaka, S. Amari, Stochastic reasoning, free energy, and information geometry, Neural Computation, 16, pp. 1779-1810, 2004.


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