Shun-ichi Amari

Articles in Scholarly Journals [Incomplete List]

  1. Preface
    Annals of the Institute of Statistical Mathematics, vol. 59, no. 1, pp. 1–2, 2007
  2. The AIC Criterion and Symmetrizing the Kullback–Leibler Divergence
    IEEE Transactions on Neural Networks, vol. 18, no. 1, pp. 97–106, 2007
  3. BMC Bioinformatics, vol. 8, no. 1, p. 5, 2007
  4. Removal of Ballistocardiogram Artifacts From Simultaneously Recorded EEG and fMRI Data Using Independent Component Analysis
    IEEE Transactions on Biomedical Engineering, vol. 53, no. 7, pp. 1294–1308, 2006
  5. Estimating Spiking Irregularities Under Changing Environments
    Neural Computation, vol. 18, no. 10, pp. 2359–2386, 2006
  6. Correlation and Independence in the Neural Code
    Neural Computation, vol. 18, no. 6, pp. 1259–1267, 2006
  7. Blind Estimation of Channel Parameters and Source Components for EEG Signals: A Sparse Factorization Approach
    IEEE Transactions on Neural Networks, vol. 17, no. 2, pp. 419–431, 2006
  8. Global Exponential Stability of Multitime Scale Competitive Neural Networks With Nonsmooth Functions
    IEEE Transactions on Neural Networks, vol. 17, no. 5, pp. 1152–1164, 2006
  9. Underdetermined Blind Source Separation Based on Sparse Representation
    IEEE Transactions on Signal Processing, vol. 54, no. 2, pp. 423–437, 2006
  10. Probability Estimation for Recoverability Analysis of Blind Source Separation Based on Sparse Representation
    IEEE Transactions on Information Theory, vol. 52, no. 7, pp. 3139–3152, 2006
  11. Equiaffine structures on statistical manifolds and Bayesian statistics
    Differential Geometry and its Applications, vol. 24, no. 6, pp. 567–578, 2006
  12. Fisher Information for Spike-Based Population Decoding
    Physical Review Letters, vol. 97, no. 9, 2006
  13. Geometrical methods in neural networks and learning
    Neurocomputing, vol. 67, pp. 1–7, 2005
  14. <tex>$alpha$</tex>-Parallel Prior and its Properties
    IEEE Transactions on Information Theory, vol. 51, no. 3, pp. 1011–1023, 2005
  15. Difficulty of Singularity in Population Coding
    Neural Computation, vol. 17, no. 4, pp. 839–858, 2005
  16. Computing with Continuous Attractors: Stability and Online Aspects
    Neural Computation, vol. 17, no. 10, pp. 2215–2239, 2005
  17. Journal of Bioinformatics and Computational Biology, vol. 2, no. 4, p. 669, 2004
  18. Stochastic Reasoning, Free Energy, and Information Geometry
    Neural Computation, vol. 16, no. 9, pp. 1779–1810, 2004
  19. Improving Generalization Performance of Natural Gradient Learning Using Optimized Regularization by NIC
    Neural Computation, vol. 16, no. 2, pp. 355–382, 2004
  20. Analysis of Sparse Representation and Blind Source Separation
    Neural Computation, vol. 16, no. 6, pp. 1193–1234, 2004
  21. 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
  22. Multichannel Blind Deconvolution of Nonminimum-Phase Systems Using Filter Decomposition
    IEEE Transactions on Signal Processing, vol. 52, no. 5, pp. 1430–1442, 2004
  23. Self-Adaptive Blind Source Separation Based on Activation Functions Adaptation
    IEEE Transactions on Neural Networks, vol. 15, no. 2, pp. 233–244, 2004
  24. Information Geometry of Turbo and Low-Density Parity-Check Codes
    IEEE Transactions on Information Theory, vol. 50, no. 6, pp. 1097–1114, 2004
  25. Gradient Adaptive Paraunitary Filter Banks for Spatio-Temporal Subspace Analysis and Multichannel Blind Deconvolution
    The Journal of VLSI Signal Processing-Systems for Signal, Image, and Video Technology, vol. 37, no. 2/3, pp. 247–261, 2004
  26. Information processing in a neuron ensemble with the multiplicative correlation structure
    Neural Networks, vol. 17, no. 2, pp. 205–214, 2004
  27. Information geometry for turbo decoding
    Systems and Computers in Japan, vol. 36, no. 1, pp. 79–87, 2004
  28. Introduction
    Neural Networks, vol. 16, no. 9, pp. 1235–1236, 2003
  29. Learning and inference in hierarchical models with singularities
    Systems and Computers in Japan, vol. 34, no. 7, pp. 34–42, 2003
  30. Neuroscience data and tool sharing
    Neuroinformatics, vol. 1, no. 2, pp. 149–165, 2003
  31. Gene interaction in DNA microarray data is decomposed by information geometric measure
    Bioinformatics, vol. 19, no. 9, pp. 1124–1131, 2003
  32. 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
  33. Synchronous Firing and Higher-Order Interactions in Neuron Pool
    Neural Computation, vol. 15, no. 1, pp. 127–142, 2003
  34. Sequential Bayesian Decoding with a Population of Neurons
    Neural Computation, vol. 15, no. 5, pp. 993–1012, 2003
  35. Learning Coefficients of Layered Models When the True Distribution Mismatches the Singularities
    Neural Computation, vol. 15, no. 5, pp. 1013–1033, 2003
  36. Self-Organization in the Basal Ganglia with Modulation of Reinforcement Signals
    Neural Computation, vol. 14, no. 4, pp. 819–844, 2002
  37. Population Coding and Decoding in a Neural Field: A Computational Study
    Neural Computation, vol. 14, no. 5, pp. 999–1026, 2002
  38. Global Convergence Rate of Recurrently Connected Neural Networks
    Neural Computation, vol. 14, no. 12, pp. 2947–2957, 2002
  39. Journal of Integrative Neuroscience, vol. 1, no. 2, p. 117, 2002
  40. The Journal of VLSI Signal Processing, vol. 31, no. 1, pp. 31–44, 2002
  41. On a new blind signal extraction algorithm: different criteria and stability analysis
    IEEE Signal Processing Letters, vol. 9, no. 8, pp. 233–236, 2002
  42. Information-Geometric Measure for Neural Spikes
    Neural Computation, vol. 14, no. 10, pp. 2269–2316, 2002
  43. Neural Processing Letters, vol. 15, no. 1, pp. 59–67, 2002
  44. Equivariant nonstationary source separation
    Neural Networks, vol. 15, no. 1, pp. 121–130, 2002
  45. Attention modulation of neural tuning through peak and base rate in correlated firing
    Neural Networks, vol. 15, no. 1, pp. 41–55, 2002
  46. Asymptotic behaviors of population codes
    Neurocomputing, vol. 44-46, no. 1-4, pp. 697–702, 2002
  47. Blind signal separation and independent component analysis
    Neurocomputing, vol. 49, no. 1-4, pp. 1–5, 2002
  48. Independent component analysis for unaveraged single-trial MEG data decomposition and single-dipole source localization
    Neurocomputing, vol. 49, no. 1-4, pp. 255–277, 2002
  49. On-line learning in changing environments with applications in supervised and unsupervised learning
    Neural Networks, vol. 15, no. 4-6, pp. 743–760, 2002
  50. New theorems on global convergence of some dynamical systems
    Neural Networks, vol. 14, no. 3, pp. 251–255, 2001
  51. Semiparametric model and superefficiency in blind deconvolution
    Signal Processing, vol. 81, no. 12, pp. 2535–2553, 2001
  52. Unified stabilization approach to principal and minor components extraction algorithms
    Neural Networks, vol. 14, no. 10, pp. 1377–1387, 2001
  53. Stability of asymmetric Hopfield networks
    IEEE Transactions on Neural Networks, vol. 12, no. 1, pp. 159–163, 2001
  54. Neural Processing Letters, vol. 13, no. 3, pp. 195–201, 2001
  55. Exponential Convergence of Delayed Dynamical Systems
    Neural Computation, vol. 13, no. 3, pp. 621–635, 2001
  56. Attention Modulation of Neural Tuning Through Peak and Base Rate
    Neural Computation, vol. 13, no. 9, pp. 2031–2047, 2001
  57. Population Coding with Correlation and an Unfaithful Model
    Neural Computation, vol. 13, no. 4, pp. 775–797, 2001
  58. Information geometry on hierarchy of probability distributions
    IEEE Transactions on Information Theory, vol. 47, no. 5, pp. 1701–1711, 2001
  59. On gradient adaptation with unit-norm constraints
    IEEE Transactions on Signal Processing, vol. 48, no. 6, pp. 1843–1847, 2000
  60. Estimating Functions of Independent Component Analysis for Temporally Correlated Signals
    Neural Computation, vol. 12, no. 9, pp. 2083–2107, 2000
  61. Adaptive Method of Realizing Natural Gradient Learning for Multilayer Perceptrons
    Neural Computation, vol. 12, no. 6, pp. 1399–1409, 2000
  62. Nonholonomic Orthogonal Learning Algorithms for Blind Source Separation
    Neural Computation, vol. 12, no. 6, pp. 1463–1484, 2000
  63. Special topic section on advances in statistical signal processing for medicine
    IEEE Transactions on Biomedical Engineering, vol. 47, no. 5, pp. 565–566, 2000
  64. Mutual information of sparsely coded associative memory with self-control and ternary neurons
    Neural Networks, vol. 13, no. 4-5, pp. 455–462, 2000
  65. The Journal of VLSI Signal Processing, vol. 26, no. 1/2, pp. 25–38, 2000
  66. Dynamic behavior of the robust decorrelation process
    Neurocomputing, vol. 30, no. 1-4, pp. 143–151, 2000
  67. Local minima and plateaus in hierarchical structures of multilayer perceptrons
    Neural Networks, vol. 13, no. 3, pp. 317–327, 2000
  68. Adaptive natural gradient learning algorithms for various stochastic models
    Neural Networks, vol. 13, no. 7, pp. 755–764, 2000
  69. The Lob–Pass Problem
    Journal of Computer and System Sciences, vol. 61, no. 3, pp. 523–557, 2000
  70. Statistical analysis of learning dynamics
    Signal Processing, vol. 74, no. 1, pp. 3–28, 1999
  71. Improving support vector machine classifiers by modifying kernel functions
    Neural Networks, vol. 12, no. 6, pp. 783–789, 1999
  72. Blind separation of uniformly distributed signals: a general approach
    IEEE Transactions on Neural Networks, vol. 10, no. 5, pp. 1173–1185, 1999
  73. Natural gradient algorithm for blind separation of overdetermined mixture with additive noise
    IEEE Signal Processing Letters, vol. 6, no. 11, pp. 293–295, 1999
  74. Superefficiency in blind source separation
    IEEE Transactions on Signal Processing, vol. 47, no. 4, pp. 936–944, 1999
  75. Self-whitening algorithms for adaptive equalization and deconvolution
    IEEE Transactions on Signal Processing, vol. 47, no. 4, pp. 1161–1165, 1999
  76. Natural Gradient Learning for Over- and Under-Complete Bases in ICA
    Neural Computation, vol. 11, no. 8, pp. 1875–1883, 1999
  77. Blind Separation of a Mixture of Uniformly Distributed Source Signals: A Novel Approach
    Neural Computation, vol. 11, no. 4, pp. 1011–1034, 1999
  78. Complexity Issues in Natural Gradient Descent Method for Training Multilayer Perceptrons
    Neural Computation, vol. 10, no. 8, pp. 2137–2157, 1998
  79. Natural Gradient Works Efficiently in Learning
    Neural Computation, vol. 10, no. 2, pp. 251–276, 1998
  80. Statistical inference under multiterminal data compression
    IEEE Transactions on Information Theory, vol. 44, no. 6, pp. 2300–2324, 1998
  81. Bias removal technique for blind source separation with noisy measurements
    Electronics Letters, vol. 34, no. 14, p. 1379, 1998
  82. 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
  83. Adaptive blind signal processing-neural network approaches
    Proceedings of the IEEE, vol. 86, no. 10, pp. 2026–2048, 1998
  84. A self-stabilized minor subspace rule
    IEEE Signal Processing Letters, vol. 5, no. 12, pp. 328–330, 1998
  85. A unified algorithm for principal and minor components extraction
    Neural Networks, vol. 11, no. 3, pp. 385–390, 1998
  86. Statistical inference: learning in artificial neural networks
    Trends in Cognitive Sciences, vol. 2, no. 1, pp. 4–10, 1998
  87. Natural Gradient Descent for On-Line Learning
    Physical Review Letters, vol. 81, no. 24, pp. 5461–5464, 1998
  88. Learned parametric mixture based ICA algorithm
    Neurocomputing, vol. 22, no. 1-3, pp. 69–80, 1998
  89. Robust techniques for independent component analysis (ICA) with noisy data
    Neurocomputing, vol. 22, no. 1-3, pp. 113–129, 1998
  90. Information-theoretic approach to blind separation of sources in non-linear mixture
    Signal Processing, vol. 64, no. 3, pp. 291–300, 1998
  91. Strategy Under the Unknown Stochastic Environment: the Nonparametric Lob—Pass Problem
    Algorithmica, vol. 22, no. 1-2, pp. 138–156, 1998
  92. Blind source separation with convolutive noise cancellation
    Neural Computing & Applications, vol. 6, no. 3, pp. 127–141, 1997
  93. Stability Analysis of Learning Algorithms for Blind Source Separation
    Neural Networks, vol. 10, no. 8, pp. 1345–1351, 1997
  94. Sequential blind signal extraction in order specified by stochastic properties
    Electronics Letters, vol. 33, no. 1, p. 64, 1997
  95. Asymptotic statistical theory of overtraining and cross-validation
    IEEE Transactions on Neural Networks, vol. 8, no. 5, pp. 985–996, 1997
  96. Blind source separation-semiparametric statistical approach
    IEEE Transactions on Signal Processing, vol. 45, no. 11, pp. 2692–2700, 1997
  97. Adaptive Online Learning Algorithms for Blind Separation: Maximum Entropy and Minimum Mutual Information
    Neural Computation, vol. 9, no. 7, pp. 1457–1482, 1997
  98. Dualistic differential geometry of positive definite matrices and its applications to related problems
    Linear Algebra and its Applications, vol. 247, pp. 31–53, 1996
  99. Auto-associative memory with two-stage dynamics of nonmonotonic neurons
    IEEE Transactions on Neural Networks, vol. 7, no. 4, pp. 803–815, 1996
  100. Fast-convergence filtered regressor algorithms for blind equalisation
    Electronics Letters, vol. 32, no. 23, p. 2114, 1996
  101. Parameter estimation with multiterminal data compression
    IEEE Transactions on Information Theory, vol. 41, no. 6, pp. 1802–1833, 1995
  102. Information geometry of the EM and em algorithms for neural networks
    Neural Networks, vol. 8, no. 9, pp. 1379–1408, 1995
  103. 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
  104. Piecewise-linear division of region by neural networks with maximum detectors
    Systems and Computers in Japan, vol. 25, no. 6, pp. 73–79, 1994
  105. A universal theorem on learning curves
    Neural Networks, vol. 6, no. 2, pp. 161–166, 1993
  106. Capacity of associative memory using a nonmonotonic neuron model
    Neural Networks, vol. 6, no. 2, pp. 167–176, 1993
  107. Backpropagation and stochastic gradient descent method
    Neurocomputing, vol. 5, no. 4-5, pp. 185–196, 1993
  108. Identifiability of hidden Markov information sources and their minimum degrees of freedom
    IEEE Transactions on Information Theory, vol. 38, no. 2, pp. 324–333, 1992
  109. Information geometry of Boltzmann machines
    IEEE Transactions on Neural Networks, vol. 3, no. 2, pp. 260–271, 1992
  110. Equivalence of hidden Markov models
    Electronics and Communications in Japan (Part III: Fundamental Electronic Science), vol. 74, no. 7, pp. 85–94, 1991
  111. Identifiability of hidden markov processes and their minimum degrees of freedom
    Electronics and Communications in Japan (Part III: Fundamental Electronic Science), vol. 74, no. 7, pp. 77–84, 1991
  112. Dualistic geometry of the manifold of higher-order neurons
    Neural Networks, vol. 4, no. 4, pp. 443–451, 1991
  113. Mathematical foundations of neurocomputing
    Proceedings of the IEEE, vol. 78, no. 9, pp. 1443–1463, 1990
  114. Characteristics of sparsely encoded associative memory
    Neural Networks, vol. 2, no. 6, pp. 451–457, 1989
  115. Fisher information under restriction of Shannon information in multi-terminal situations
    Annals of the Institute of Statistical Mathematics, vol. 41, no. 4, pp. 623–648, 1989
  116. Statistical inference under multiterminal rate restrictions: a differential geometric approach
    IEEE Transactions on Information Theory, vol. 35, no. 2, pp. 217–227, 1989
  117. Differential geometry of a parametric family of invertible linear systems—Riemannian metric, dual affine connections, and divergence
    Mathematical Systems Theory, vol. 20, no. 1, pp. 53–82, 1987
  118. Neural mechanisms of information processing in the brain
    Systems and Computers in Japan, vol. 18, no. 7, pp. 31–45, 1987
  119. Data compression and statistical inference
    Electronics and Communications in Japan (Part I: Communications), vol. 70, no. 11, pp. 16–24, 1987
  120. A theoretical study of recognition of moving objects by monocular vision
    Electronics and Communications in Japan (Part I: Communications), vol. 68, no. 11, pp. 30–39, 1985
  121. A foundation of information geometry
    Electronics & Communications in Japan, vol. 66, no. 6, pp. 1–10, 1983
  122. Dualistic theory of non-Riemannian material manifolds
    International Journal of Engineering Science, vol. 19, no. 12, pp. 1581–1594, 1981
  123. Existence and stability of local excitations in homogeneous neural fields
    Journal of Mathematical Biology, vol. 7, no. 4, pp. 303–318, 1979
  124. Formation of topographic maps and columnar microstructures in nerve fields
    Biological Cybernetics, vol. 35, no. 2, pp. 63–72, 1979
  125. Mathematical theory on formation of category detecting nerve cells
    Biological Cybernetics, vol. 29, no. 3, pp. 127–136, 1978
  126. An extended first approximation model for the amygdaloid kindling phenomenon
    Biological Cybernetics, vol. 28, no. 3, pp. 129–135, 1978
  127. Dynamics of pattern formation in lateral-inhibition type neural fields
    Biological Cybernetics, vol. 27, no. 2, pp. 77–87, 1977
  128. Neural theory of association and concept-formation
    Biological Cybernetics, vol. 26, no. 3, pp. 175–185, 1977
  129. Homogeneous nets of neuron-like elements
    Biological Cybernetics, vol. 17, no. 4, pp. 211–220, 1975
  130. Learning Patterns and Pattern Sequences by Self-Organizing Nets of Threshold Elements
    IEEE Transactions on Computers, vol. C-21, no. 11, pp. 1197–1206, 1972