Amari Shunnichi

Researcher Information

Affiliation

Advanced Comprehensive Research Organization (ACRO) Specially Appointed Professor

URL

https://jglobal.jst.go.jp/detail?JGLOBAL_ID=201101003887631048

J-Global ID

• 201101003887631048

Profile

• 情報幾何、数理脳科学など、数理工学（数理科学）の研究に取り組んでいる。

Research Interests

• mathematical engineering, mathematical neuroscience, information geometry、eeplearning   

Research Areas

• Natural sciences / Applied mathematics and statistics
• Informatics / Mathematical informatics

Academic & Professional Experience

• 2021/04 - Today  Teikyo UniversityAdvanced Comprehensive Research Organization
• 1981/04 - 2017/03  RIKENBrain Science Institute
• 1982/10 - 1998/03  Graduate School of the University of TokyoThe Faculty of Engineering Department of Mathematical Engineering and Information Physics
• 1967/04 - 1982  University of TokyoThe Faculty of Engineering Department of Mathematical Engineering and Information Physics
• 1963/04 - 1967/03  Kyushu University

Education

• 1954/04 - 1958/03  The University of Tokyo

Research Activity Information

Published Papers

• 私にとって科学とは

  現代化学 650 28 - 30 2025/05 [Invited]
  
• Information geometry of Wasserstein statistics on shapes and affine deformations

  Shun-ichi Amari; Takeru Matsuda

  Information Geometry Springer Science and Business Media LLC 2511-2481 2024/07
• Deep learning in random neural fields: Numerical experiments via neural tangent kernel

  Kaito Watanabe; Kotaro Sakamoto; Ryo Karakida; Sho Sonoda; Shun-ichi Amari

  Neural Networks Elsevier BV 0893-6080 2023/01
• 深層学習と認知・理解

  甘利俊一

  認知科学 29 (1) 5 - 13 2022/03 [Refereed][Invited]
  
• Wasserstein statistics in one-dimensional location scale models

  Shun-ichi Amari; Takeru Matsuda

  Annals of the Institute of Statistical Mathematics Springer Science and Business Media LLC 74 (1) 33 - 47 0020-3157 2022/02 [Refereed]
  
• Optimal transportation plans with escort entropy regularization

  Takashi Kurose; Shintaro Yoshizawa; Shun-ichi Amari

  Information Geometry Springer Science and Business Media LLC 3 (2) 2511-2481 2021/11 [Refereed]
  
• Information Geometry

  Shun‐ichi Amari

  International Statistical Review Wiley 89 (2) 250 - 273 0306-7734 2021/08 [Refereed][Invited]
  
• Pathological Spectra of the Fisher Information Metric and Its Variants in Deep Neural Networks

  Ryo Karakida; Shotaro Akaho; Shun-ichi Amari

  Neural Computation 33 (8) 2274 - 2307 0899-7667 2021/07
• Wasserstein Statistics in One-Dimensional Location-Scale Models

  Shun-ichi Amari; Takeru Matsuda

  Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) Springer Science and Business Media Deutschland GmbH 12829 499 - 506 1611-3349 2021
• Information geometry

  Shun-ichi Amari

  Japanese Journal of Mathematics Springer Science and Business Media LLC 16 (1) 1 - 48 0289-2316 2021/01 [Refereed][Invited]
  
• Any target function exists in a neighborhood of any sufficiently wide random networks: A geometric perspective

  Shun-ichi Amari

  Neural Computation 32 (8) 1413 - 1447 2021 [Refereed]
  
• Universal statistics of Fisher information in deep neural networks: mean field approach*

  Ryo Karakida; Shotaro Akaho; Shun-ichi Amari

  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT 2020 (12) 1742-5468 2020/12
• Unified framework for the entropy production and the stochastic interaction based on information geometry

  S. Ito; M. Oizumi; S. Amari

  Physical Review Research 2 33 - 48 2020 [Refereed]
  
• Information Geometry for Regularized Optimal Transport and Barycenters of Patterns.

  Shun-Ichi Amari; Ryo Karakida; Masafumi Oizumi; Marco Cuturi

  Neural computation 31 (5) 827 - 848 2019/05
• Fisher Information and Natural Gradient Learning of Random Deep Networks

  Shun-ichi Amari; Ryo Karakida; Masafumi Oizumi

  AISTATS2019 89 694 - 702 2640-3498 2019/04 [Refereed]
  
• Statistical mechanical analysis of learning dynamics of two-layer perceptron with multiple output units

  Yuki Yoshida; Ryo Karakida; Masato Okada; Shun-ichi Amari

  Journal of Physics A: Mathematical and Theoretical 52 (18) 184002  1751-8113 2019/04 [Refereed]
  
• The Normalization Method for Alleviating Pathological Sharpness in Wide Neural Networks

  Ryo Karakida; Shotaro Akaho; Shun-ichi Amari

  ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 32 (NIPS 2019) 32 1049-5258 2019
• Statistical Neurodynamics of Deep Networks: Geometry of Signal Spaces

  Shun-ichi Amari; Ryo Karakida; Masafumi Oizumi

  NOLTA2019 10 (4) 322 - 336 2185-4106 2018/08 [Refereed]
  
• Computational Neuroscience: Mathematical and Statistical Perspectives

  Robert E. Kass; Shun-Ichi Amari; Kensuke Arai; Emery N. Brown; Casey O. Diekman; Markus Diesmann; Brent Doiron; Uri T. Eden; Adrienne L. Fairhall; Grant M. Fiddyment; Tomoki Fukai; Sonja Grün; Matthew T. Harrison; Moritz Helias; Hiroyuki Nakahara; Jun-Nosuke Teramae; Peter J. Thomas; Mark Reimers; Jordan Rodu; Horacio G. Rotstein; Eric Shea-Brown; Hideaki Shimazaki; Shigeru Shinomoto; Byron M. Yu; Mark A. Kramer

  Annual Review of Statistics and Its Application Annual Reviews Inc. 5 183 - 214 2326-831X 2018/03 [Refereed]
  
• Geometry of information integration

  Shun-Ichi Amari; Naotsugu Tsuchiya; Masafumi Oizumi

  Springer Proceedings in Mathematics and Statistics Springer New York LLC 252 3 - 17 2194-1017 2018
• Universal Statistics of Fisher Information in Deep Neural Networks: Mean Field Approach.

  Ryo Karakida; Shotaro Akaho; Shun-ichi Amari

  CoRR abs/1806.01316 2640-3498 2018 [Refereed]
  
• Dynamics of learning in MLP: Natural gradient and singularity revisited

  Shun-Ichi Amari; Tomoko Ozeki; Ryo Karakida; Yuki Yoshida; Masato Okada

  Neural Computation MIT Press Journals 30 (1) 1 - 33 1530-888X 2018/01 [Refereed]
  
• Statistical Mechanical Analysis of Online Learning with Weight Normalization in Single Layer Perceptron

  Yuki Yoshida; Ryo Karakida; Masato Okada; Shun-ichi Amari

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 86 (4) 044002  0031-9015 2017/04 [Refereed]
  
• Information geometry of wasserstein divergence

  Ryo Karakida; Shun-Ichi Amari

  Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 10589 119 - 126 1611-3349 2017 [Refereed]
  
• Unified framework for information integration based on information geometry

  Masafumi Oizumi; Naotsugu Tsuchiya; Shun-ichi Amari

  PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA 113 (51) 14817 - 14822 0027-8424 2016/12 [Refereed]
  
• Dynamical analysis of contrastive divergence learning: Restricted Boltzmann machines with Gaussian visible units

  Ryo Karakida; Masato Okada; Shun-ichi Amari

  NEURAL NETWORKS 79 78 - 87 0893-6080 2016/07 [Refereed]
  
• Bayesian Robust Tensor Factorization for Incomplete Multiway Data

  Qibin Zhao; Guoxu Zhou; Liqing Zhang; Andrzej Cichocki; Shun-Ichi Amari

  IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 27 (4) 736 - 748 2162-237X 2016/04 [Refereed]
  
• Representation of higher-order statistical structures in natural scenes via spatial phase distributions

  HaDi MaBouDi; Hideaki Shimazaki; Shun-ichi Amari; Hamid Soltanian-Zadeh

  Vision Research Elsevier Ltd 120 61 - 73 1878-5646 2016/03 [Refereed]
  
• Gaussian-Bernoulli RBMにおける最尤学習を効率化する直交制約

  唐木田 亮; 岡田 真人; 甘利 俊一

  人工知能学会全国大会論文集 一般社団法人 人工知能学会 JSAI2016 4H42in2 - 4H42in2 2016
• Maximum likelihood learning of RBMs with Gaussian visible units on the Stiefel manifold

  Ryo Karakida; Masato Okada; Shun-Ichi Amari

  ESANN 2016 - 24th European Symposium on Artificial Neural Networks i6doc.com publication 159 - 164 2016
• l(p)-Regularized Least Squares (0 < p < 1) and Critical Path

  Masahiro Yukawa; Shun-Ichi Amari

  IEEE TRANSACTIONS ON INFORMATION THEORY 62 (1) 488 - 502 0018-9448 2016/01
• Measuring Integrated Information from the Decoding Perspective

  Masafumi Oizumi; Shun-ichi Amari; Toru Yanagawa; Naotaka Fujii; Naotsugu Tsuchiya

  PLOS COMPUTATIONAL BIOLOGY 12 (1) e1004654  1553-734X 2016/01 [Refereed]
  
• 22aBT-6 Maximum likelihood learning in Gaussian RBMs with orthogonal constraints

  Karakida R.; Okada M.; Amari S.

  Meeting Abstracts of the Physical Society of Japan The Physical Society of Japan (JPS) 71 3094 - 3094 2189-079X 2016
• Statistical Mechanical Analysis of Online Learning with Radial Parameters in Single Layer Perceptron.

  Yoshida Yuki; Karakida Ryo; Okada Masato; Amari Shun-ichi

  Meeting Abstracts of the Physical Society of Japan The Physical Society of Japan 71 2753 - 2753 2016
• Adaptive Natural Gradient Learning Algorithms for Unnormalized Statistical Models

  Ryo Karakida; Masato Okada; Shun-ichi Amari

  ARTIFICIAL NEURAL NETWORKS AND MACHINE LEARNING - ICANN 2016, PT I 9886 427 - 434 0302-9743 2016 [Refereed]
  
• 22aBL-4 Equilibrium Analysis of Contrastive Divergence Learning in Gaussian RBMs

  Karakida R.; Okada M.; Amari S.

  Meeting Abstracts of the Physical Society of Japan The Physical Society of Japan (JPS) 70 2992 - 2992 2189-079X 2015
• Can Critical-Point Paths Under l(p)-Regularization (0 < p < 1) Reach the Sparsest Least Squares Solutions?

  Kwangjin Jeong; Masahiro Yukawa; Shun-ichi Amari

  IEEE TRANSACTIONS ON INFORMATION THEORY 60 (5) 2960 - 2968 0018-9448 2014/05
• Robust Bayesian Tensor Factorization for Incomplete Multiway Data.

  Qibin Zhao; Guoxu Zhou; Liqing Zhang; Andrzej Cichocki; Shun-ichi Amari

  CoRR abs/1410.2386 2014 [Refereed]
  
• Minkovskian Gradient for Sparse Optimization

  Shun-ichi Amari; Masahiro Yukawa

  IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING 7 (4) 576 - 585 1932-4553 2013/08
• State-Space Analysis of Time-Varying Higher-Order Spike Correlation for Multiple Neural Spike Train Data

  Hideaki Shimazaki; Shun-ichi Amari; Emery N. Brown; Sonja Gruen

  PLOS COMPUTATIONAL BIOLOGY 8 (3) e1002385  1553-734X 2012/03 [Refereed]
  
• l(p)-Constrained Least Squares (0 < p < 1) and Its Critical Path

  Masahiro Yukawa; Shun-ichi Amari

  2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT) 2012
• Information loss associated with imperfect observation and mismatched decoding

  Masafumi Oizumi; Masato Okada; Shun-Ichi Amari

  FRONTIERS IN COMPUTATIONAL NEUROSCIENCE 5 9  1662-5188 2011/03 [Refereed]
  
• On extensions of LARS by information geometry: Convex objectives and ̀p-norm

  Masahiro Yukawa; Shun-Ichi Amari

  APSIPA ASC 2011 - Asia-Pacific Signal and Information Processing Association Annual Summit and Conference 2011 326 - 331 2011
• Dynamics of Learning In Hierarchical Models - Singularity and Milnor Attractor

  Shun-ichi Amari; Tomoko Ozeki; Florent Cousseau; Haikun Wei

  ADVANCES IN COGNITIVE NEURODYNAMICS (II) 3 - 9 2011
• Families of alpha- beta- and gamma- divergences: Flexible and robust measures of Similarities

  Andrzej Cichocki; Shun-ichi Amari

  Entropy MDPI AG 12 (6) 1532 - 1568 1099-4300 2010
• State-space analysis on time-varying correlations in parallel spike sequences

  Hideaki Shimazaki; Shun-Ichi Amari; Emery N. Brown; Sonja Grün

  ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings 3501 - 3504 1520-6149 2009 [Refereed]
  
• Dynamics of learning in multilayer perceptrons near singularities.

  Florent Cousseau; Tomoko Ozeki; Shun-Ichi Amari

  IEEE transactions on neural networks 19 (8) 1313 - 28 2008/08
• Dynamics and computation of continuous attractors

  Si Wu; Kosuke Hamaguchi; Shun-ichi Amari

  NEURAL COMPUTATION 20 (4) 994 - 1025 0899-7667 2008/04 [Refereed]
  
• Dynamics of learning near singularities in layered networks.

  Haikun Wei; Jun Zhang; Florent Cousseau; Tomoko Ozeki; Shun-Ichi Amari

  Neural computation 20 (3) 813 - 43 0899-7667 2008/03
• Hierarchical ALS algorithms for nonnegative matrix and 3D tensor factorization

  Andrzej Cichocki; Rafal Zdunek; Shun-Ichi Amari

  Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) Springer Verlag 4666 169 - 176 1611-3349 2007
• The tracking speed of continuous attractors

  Si Wu; Kosuke Hamaguchi; Shun-ichi Amari

  ADVANCES IN NEURAL NETWORKS - ISNN 2007, PT 1, PROCEEDINGS 4491 926 - + 0302-9743 2007 [Refereed]
  
• Estimating spiking irregularities under changing environments

  Keiji Miura; Masato Okada; Shun-ichi Amari

  NEURAL COMPUTATION 18 (10) 2359 - 2386 0899-7667 2006/10 [Refereed]
  
• Correlation and independence in the neural code

  S Amari; H Nakahara

  NEURAL COMPUTATION 18 (6) 1259 - 1267 0899-7667 2006/06 [Refereed]
  
• Singularities affect dynamics of learning in neuromanifolds.

  Shun-ichi Amari; Hyeyoung Park; Tomoko Ozeki

  Neural computation 18 (5) 1007 - 65 0899-7667 2006/05
• Online learning dynamics of radial basis function neural networks near the singularity

  Haikun Wei; Shun-Ichi Amari

  IEEE International Conference on Neural Networks - Conference Proceedings 4770 - 4776 1098-7576 2006
• New algorithms for non-negative matrix factorization in applications to blind source separation

  Andrzej Cichocki; Rafal Zdunek; Shun-Ichi Amari

  ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings 5 V621 - V624 1520-6149 2006
• Csiszár's Divergences for Non-negative Matrix Factorization: Family of New Algorithms

  Andrzej Cichocki; Rafal Zdunek; Shun-Ichi Amari

  Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 3889 32 - 39 0302-9743 2006
• Extended SMART algorithms for non-negative matrix factorization invited paper

  Andrzej Cichocki; Shun Ichi Amari; Rafal Zdunek; Raul Kompass; Gen Hori; Zhaohui He

  Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 4029 LNAI 548 - 562 0302-9743 2006 [Refereed]
  
• Estimating spiking irregularities under changing environments

  Keiji Miura; Masato Okada; Shun-ichi Amari

  NEUROSCIENCE RESEARCH 55 (10) S142 - S142 0168-0102 2006 [Refereed]
  
• Difficulty of singularity in population coding

  S Amari; H Nakahara

  NEURAL COMPUTATION 17 (4) 839 - 858 0899-7667 2005/04 [Refereed]
  
• Unbiased Estimator of Shape Parameter for Spiking Irregularities under Changing Environments.

  Keiji Miura; Masato Okada; Shun-ichi Amari

  Advances in Neural Information Processing Systems 18 [Neural Information Processing Systems, NIPS 2005, December 5-8, 2005, Vancouver, British Columbia, Canada] 891 - 898 2005 [Refereed]
  
• Information geometry for turbo decoding

  Shiro Ikeda; Toshiyuki Tanaka; Shun Ichi Amari

  Systems and Computers in Japan 36 (1) 79 - 87 0882-1666 2005/01 [Refereed]
  
• Improved parameter estimation for variance-stabilizing transformation of gene-expression microarray data

  Masato Inoue; Shin Ichi Nishimura; Gen Hori; Hiroyuki Nakahara; Michiko Saito; Yoshihiro Yoshihara; Shun Ichi Amari

  Journal of Bioinformatics and Computational Biology 2 (4) 669 - 679 0219-7200 2004/12 [Refereed]
  
• Stochastic reasoning, free energy, and information geometry

  Shiro Ikeda; Toshiyuki Tanaka; Shun Ichi Amari

  Neural Computation 16 (9) 1779 - 1810 0899-7667 2004/09 [Refereed]
  
• Information geometry of turbo and low-density parity-check codes

  Shiro Ikeda; Toshiyuki Tanaka; Shun Ichi Amari

  IEEE Transactions on Information Theory 50 (6) 1097 - 1114 0018-9448 2004/06 [Refereed]
  
• Information processing in a neuron ensemble with the multiplicative correlation structure

  S Wu; S Amari; H Nakahara

  NEURAL NETWORKS 17 (2) 205 - 214 0893-6080 2004/03 [Refereed]
  
• Improving generalization performance of natural gradient learning using optimized regularization by NIC

  H Park; N Murata; S Amari

  NEURAL COMPUTATION 16 (2) 355 - 382 0899-7667 2004/02 [Refereed]
  
• Information Geometry of Belief Propagation

  Ikeda Shiro; Tanaka Toshiyuki; Amari Shun-ichi

  Bulletin of the Japan Society for Industrial and Applied Mathematics The Japan Society for Industrial and Applied Mathematics 14 (3) 236 - 247 0917-2270 2004
• Gene interaction in DNA microarray data is decomposed by information geometric measure

  Hiroyuki Nakahara; Shin Ichi Nishimura; Masato Inoue; Gen Hori; Shun Ichi Amari

  Bioinformatics 19 (9) 1124 - 1131 1367-4803 2003/06 [Refereed]
  
• A robust approach to independent component analysis of signals with high-level noise measurements

  J Cao; N Murata; S Amari; A Cichocki; T Takeda

  IEEE TRANSACTIONS ON NEURAL NETWORKS 14 (3) 631 - 645 1045-9227 2003/05 [Refereed]
  
• Critical lines in symmetry of mixture models and its application to component splitting

  Kenji Fukumizu; Shotaro Akaho; Shun-Ichi Amari

  Advances in Neural Information Processing Systems Neural information processing systems foundation 1049-5258 2003
• Approximate maximum likelihood source separation using the natural gradient

  Seungjin Choi; Andrzej Cichocki; Liqing Zhang; Shun-Ichi Amari

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Institute of Electronics, Information and Communication, Engineers, IEICE E86-A (1) 198 - 205 0916-8508 2003
• Learning and inference in hierarchical models with singularities.

  Shun-ichi Amari; Tomoko Ozeki; Hyeyoung Park

  Systems and Computers in Japan 34 (7) 34 - 42 2003
• Synchronous firing and higher-order interactions in neuron pool

  S Amari; H Nakahara; S Wu; Y Sakai

  NEURAL COMPUTATION 15 (1) 127 - 142 0899-7667 2003/01 [Refereed]
  
• Independent component analysis for unaveraged single-trial MEG data decomposition and single-dipole source localization

  JT Cao; N Murata; S Amari; A Cichocki; T Takeda

  NEUROCOMPUTING 49 (“1-4”) 255 - 277 0925-2312 2002/12 [Refereed]
  
• Information-geometric measure for neural spikes

  H Nakahara; S Amari

  NEURAL COMPUTATION 14 (10) 2269 - 2316 0899-7667 2002/10 [Refereed]
  
• On-line learning in changing environments with applications in supervised and unsupervised learning

  N Murata; M Kawanabe; A Ziehe; KR Muller; S Amari

  NEURAL NETWORKS 15 (4-6) 743 - 760 0893-6080 2002/06 [Refereed]
  
• Asymptotic behaviors of population codes

  S Wu; S Amari; H Nakahara

  NEUROCOMPUTING 44 (46) 697 - 702 0925-2312 2002/06
• Population coding and decoding in a neural field: A computational study

  S Wu; S Amari; H Nakahara

  NEURAL COMPUTATION 14 (5) 999 - 1026 0899-7667 2002/05 [Refereed]
  
• Self-organization in the basal ganglia with modulation of reinforcement signals

  H Nakahara; S Amari; O Hikosaka

  NEURAL COMPUTATION 14 (4) 819 - 844 0899-7667 2002/04 [Refereed]
  
• TLS and its improvements by semiparametric approach

  S Amari; M Kawanabe

  TOTAL LEAST SQUARES AND ERRORS-IN-VARIABLES MODELING 15 - 24 2002 [Refereed]
  
• Neural implementation of Bayesian inference in population codes

  Si Wu; Shun-Ichi Amari

  Advances in Neural Information Processing Systems Neural information processing systems foundation 1049-5258 2002
• Information-geometric decomposition in spike analysis

  H Nakahara; S Amari

  ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 14, VOLS 1 AND 2 14 253 - 260 1049-5258 2002 [Refereed]
  
• Information-geometrical significance of sparsity in gallager codes

  Toshiyuki Tanaka; Shiro Ikeda; Shun Ichi Amari

  Advances in Neural Information Processing Systems 1049-5258 2002 [Refereed]
  
• Information geometrical framework for analyzing belief propagation decoder

  Shiro Ikeda; Toshiyuki Tanaka; Shun Ichi Amari

  Advances in Neural Information Processing Systems 1049-5258 2002 [Refereed]
  
• Belief propagation and turbo code: Information geometrical view

  Shiro Ikeda; Toshiyuki Tanaka; Shun-ichi Amari

  8TH International Conference on Neural Information Processing, Vol 1-3, PROCEEDING 41 - 46 2001/11 [Refereed]
  
• Attention modulation of neural tuning through peak and base rate

  H Nakahara; S Wu; S Amari

  NEURAL COMPUTATION 13 (9) 2031 - 2047 0899-7667 2001/09
• Population coding with correlation and an unfaithful model

  S Wu; H Nakahara; S Amari

  NEURAL COMPUTATION 13 (4) 775 - 797 0899-7667 2001/04
• Population Coding with Correlation and an Unfaithful Model

  Si Wu; Hiroyuki Nakahara; Shun-ichi Amari

  Neural Computation 13 (4) 775 - 797 0899-7667 2001/04 [Refereed]
  
• Geometrical Singularities in the Neuromanifold of Multilayer Perceptrons.

  Shun-ichi Amari; Hyeyoung Park; Tomoko Ozeki

  Advances in Neural Information Processing Systems 14 [Neural Information Processing Systems: Natural and Synthetic, NIPS 2001, December 3-8, 2001, Vancouver, British Columbia, Canada](NIPS) MIT Press 343 - 350 2001
• Generalization Error and Training Error at Singularities of Multilayer Perceptrons.

  Shun-ichi Amari; Tomoko Ozeki; Hyeyoung Park

  Connectionist Models of Neurons, Learning Processes and Artificial Intelligence, 6th International Work-Conference on Artificial and Natural Neural Networks Springer 325 - 332 2001
• Single-trial magnetoencephalographic data decomposition and localization based on independent component analysis approach

  JT Cao; N Murata; S Amari; A Cichocki; T Takeda; H Endo; N Harada

  IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES E83A (9) 1757 - 1766 0916-8508 2000/09 [Refereed]
  
• Unfaithful population decoding

  Si Wu; Danmei Chen; Shun ichi Amari

  Proceedings of the International Joint Conference on Neural Networks IEEE 2 199 - 204 2000
• Information geometry of adaptive systems

  S. Amari; T. Ozeki; H. Park

  IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium, AS-SPCC 2000 12 - 17 2000
• Population decoding based on an unfaithful model

  S Wu; H Nakahara; N Murata; S Amari

  ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 12 12 192 - 198 1049-5258 2000 [Refereed]
  
• Statistical analysis of learning dynamics

  N Murata; S Amari

  SIGNAL PROCESSING 74 (1) 3 - 28 0165-1684 1999/04 [Refereed]
  
• Information-geometrical method for improving the performance of support vector machine classifiers

  Shun ichi Amari; Si Wu

  IEE Conference Publication IEE 1 (470) 85 - 90 0537-9989 1999
• Convergence of the wake-sleep algorithm

  Shiro Ikeda; Shun Ichi Amari; Hiroyuki Nakahara

  Advances in Neural Information Processing Systems 239 - 245 1049-5258 1999 [Refereed]
  
• Adaptive blind signal processing - Neural network approaches

  Shun-Ichi Amari; Andrzej Cichocki

  Proceedings of the IEEE Institute of Electrical and Electronics Engineers Inc. 86 (10) 2026 - 2048 0018-9219 1998
• Statistical inference: learning in artificial neural networks

  HH Yang; N Murata; S Amari

  TRENDS IN COGNITIVE SCIENCES 2 (1) 4 - 10 1364-6613 1998/01 [Refereed]
  
• Asymptotic statistical theory of overtraining and cross-validation

  S Amari; N Murata; KR Muller; M Finke; HH Yang

  IEEE TRANSACTIONS ON NEURAL NETWORKS 8 (5) 985 - 996 1045-9227 1997/09 [Refereed]
  
• Information geometry of estimating functions in semi-parametric statistical models

  S Amari; M Kawanabe

  BERNOULLI 3 (1) 29 - 54 1350-7265 1997/03 [Refereed]
  
• Adaptive on-line learning in changing environments

  Noboru Murata; Klaus-Robert Müller; Andreas Ziehe; Shun-Ichi Amari

  Advances in Neural Information Processing Systems Neural information processing systems foundation 599 - 605 1049-5258 1997
• Statistical analysis of regularization constant - From Bayes, MDL and NIC points of view

  S Amari; N Murata

  BIOLOGICAL AND ARTIFICIAL COMPUTATION: FROM NEUROSCIENCE TO TECHNOLOGY 1240 284 - 293 0302-9743 1997 [Refereed]
  
• A numerical study on learning curves in stochastic multilayer feedforward networks

  KR Muller; M Finke; N Murata; K Schulten; S Amari

  NEURAL COMPUTATION 8 (5) 1085 - 1106 0899-7667 1996/07 [Refereed]
  
• Geometry of admissible parameter region in neural learning

  Kazushi Ikeda; Shun Ichi Amari

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Inst of Electronics, Inf & Commun Engineers of Japan E79-A (6) 938 - 943 0916-8508 1996/06
• Statistical theory of overtraining - Is cross-validation asymptotically effective?

  S Amari; N Murata; KR Muller; M Finke; H Yang

  ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 8 8 176 - 182 1049-5258 1996
• Number of Equilibrium States in a Randomly and Symmetrically Connected Recurrent Neural Network with a Variable Threshold

  Date Akira; Kurata Koji; Amari Shun-ichi

  Transactions of the Japan Society for Industrial and Applied Mathematics The Japan Society for Industrial and Applied Mathematics 6 (1) 15 - 28 0917-2246 1996
• Gradient systems in view of information geometry

  Akio Fujiwara; Shun-ichi Amari

  Physica D: Nonlinear Phenomena Elsevier BV 80 (3) 317 - 327 0167-2789 1995/01 [Refereed]
  
• NETWORK INFORMATION CRITERION - DETERMINING THE NUMBER OF HIDDEN UNITS FOR AN ARTIFICIAL NEURAL-NETWORK MODEL

  N MURATA; S YOSHIZAWA; S AMARI

  IEEE TRANSACTIONS ON NEURAL NETWORKS 5 (6) 865 - 872 1045-9227 1994/11 [Refereed]
  
• ESTIMATION AND LEARNING OF NETWORK PARAMETERS IN SEMIPARAMETRIC STOCHASTIC PERCEPTRON

  M KAWANABE; S AMARI

  1994 IEEE INTERNATIONAL CONFERENCE ON NEURAL NETWORKS, VOL 1-7 787 - 790 1994 [Refereed]
  
• UNIVERSAL PROPERTIES OF LEARNING-CURVES

  S AMARI; N MURATA; K IKEDA

  COGNITIVE PROCESSING FOR VISION & VOICE 77 - 87 1994 [Refereed]
  
• PREDICTION ERROR OF STOCHASTIC LEARNING MACHINE

  K IKEDA; N MURATA; S AMARI

  1994 IEEE INTERNATIONAL CONFERENCE ON NEURAL NETWORKS, VOL 1-7 2 1159 - 1162 1994 [Refereed]
  
• PREDICTION ERROR AND CONSISTENT PARAMETER AREA IN NEURAL LEARNING

  K IKEDA; S AMARI; S YOSHIZAWA

  IJCNN '93-NAGOYA : PROCEEDINGS OF 1993 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOLS 1-3 2 1633 - 1636 1993 [Refereed]
  
• STATISTICAL-THEORY OF LEARNING-CURVES UNDER ENTROPIC LOSS CRITERION

  S AMARI; N MURATA

  NEURAL COMPUTATION 5 (1) 140 - 153 0899-7667 1993/01
• A CRITERION FOR DETERMINING THE NUMBER OF PARAMETERS IN AN ARTIFICIAL NEURAL NETWORK MODEL

  N MURATA; S YOSHIZAWA; S AMARI

  ARTIFICIAL NEURAL NETWORKS, VOLS 1 AND 2 9 - 14 1991 [Refereed]
  

Books etc

• AIとヒューマニズム

  甘利俊一; 城戸隆; 後藤玲子; 羽生佐和子 (Editor第一章人工知能は新しい文明をもたらすか)帝京大学出版会 2026/09
• 増補新版 深層学習と統計神経力学

  甘利俊一; 渡辺澄夫 (Joint work)2026/08
• AIと人のこころの近未来

  芋阪直行; 甘利俊一; 新井紀子; 岩井克人; 宮下保司 (第一章 AIと人間―これからの文明社会はどうなるのか)大阪大学出版会 2026/08 9784872596526
• めくるめく数理の世界 : 情報幾何学・人工知能・神経回路網理論

  甘利, 俊一 サイエンス社 2024/10 9784781916118 vi, 319p
• 神経回路網の数理

  甘利俊一 ちくま学術文庫 2024/01 9784480512291
• 未来を拓く「自分流」研究 : がんの制圧から人工知能まで

  帝京大学先端総合研究機構; 浅島, 誠; 岡ノ谷, 一夫 (Joint work人工知能とこれからの社会)帝京大学出版会,星雲社(発売) 2023/12 9784434331732 343p
• Linear Algebra

  Shun-ichi Amari; Ken-ichi Kanatani 筑摩書房 2023/06
• Deep Learning and Statistical Neurodynamics

  Shun-ichi Amari サイエンス社 2023/06
• Multiterminal Statistical Inference: An Unsolved Problem

  Amari; Shun-ichi (Contributor)Springer 2023/05 9783031122439
• Multiterminal Statistical Inference: An unsolved problem

  J-M Morel; B. Teissier (ContributorPart IV Information Theory)Springer Lecture Notes in Mathematics 2023/04
• AI新世

  小林涼太; 篠本滋 (Supervisor)文春新書、文芸春秋社 2022/08
• 情報幾何学の新展開

  甘利, 俊一 サイエンス社 2019/11 9784781914633 vii, 224p
• 脳・心・人工知能 : 数理で脳を解き明かす

  甘利, 俊一 講談社 2016/05 9784062579681 235p
• Information geometry and its applications

  Amari; Shun-ichi Springer 2016 9784431559771 xiii, 374 p.

Conference Activities & Talks

• 数理工学を考究してー幸運なる我が人生

  甘利俊一

  FIT26  2026/09
• AIの歴史、現状、未来社会の展望

  甘利俊一

  工学アカデミー公開シンポジューム：生成AIと倫理  2026/03
• AIの歴史と現状:気がるべき文明社会

  甘利俊一

  知の協奏：AIｘ物理  2026/03
• 情報幾何と統計学

  甘利俊一

  日本統計学会春季集会  2026/03
• AIの歴史、現状そして未来文明の展望

  甘利俊一

  計測自動制御学会大会  2025/11
• 幸運なるわが人生

  甘利俊一

  第４０回京都賞先端科学部門受賞記念講演会  2025/11
• 数理工学を考究してーー来運なるわが人生

  甘利俊一

  帝京大学特別記念講演  2025/10
• AIと人間――これからの文明社会はどうなるのか？

  甘利俊一

  日本学士院「脳と心の宇宙を探る」研究会シンポジューム  2025/08
• Dazzling World of Mathematical Engineering

  Shun-ichi Amari

  International Conference on Nonlinear Science and Medicine 2025  2025/08
• 日本における生成AIと脳科学の研究

  甘利俊一

  71回日府展市民講座  2024/05
• 情報幾何講義

  甘利俊一

  筑波大物理やのための機械学習講義  2024/05
• Wasserstein statistics

  Shun-ichi Amari

  ISNSM 2024  2024/03
• 脳と人工知能―新しい文明と社会を求めて

  甘利俊一

  ビジョン技術実用化ワークショップーView-2023  2023/12
• 科学と芸術の新しい挨拶

  甘利俊一

  日府展オープンシンポジューム  2023/05
• Wasserstein Statitics

  Shun-ichi Amari

  Workshop OT 2023  2023/03
• 情報幾何学とその応用

  甘利俊一

  Math Power  2022/09
• 数理工学と私ーー幸せなわが人生

  甘利俊一

  九州大学マスフォアイノベーション学府発足記念シンポジューム  2022/06
• 脳とAI-ーAI社会をどう築くか

  甘利俊一

  アート脳ー創造性教育のシンポジューム  2022/06
• 人工知能と数理脳科学

  甘利俊一

  群馬大学数理データ科学教育研究センター講演会  2022/03
• 数理工学を考究してー幸運なるわが人生

  甘利俊一

  第４０回京都賞受賞記念講演会

MISC

• Learning Complex Representations from Spatial Phase Statistics of Natural Scene

  MaBouDi H; Shimazaki H; Soltanian-Zadeh H; Amari S  bioRxiv  2017/03
• 日本神経回路学会創立20周年記念パネルディスカッション

  平井 有三; 甘利 俊一; 福島 邦彦; 我妻 広明; 山崎 匡; 岡田 真人; 小池 康晴  日本神経回路学会誌 = The Brain & neural networks  17-  (1)  12  -23  2010/03
• Second bilateral German-Japanese Workshop on Computational Neuroscience 報告

  臼井 支朗; 深井 朋樹; 甘利 俊一  日本神経回路学会誌 = The Brain & neural networks  17-  (1)  39  -42  2010/03
• Singular Point and Learning in Neuromanifold.

  甘利 俊一; 尾関 智子; 朴 慧暎  The Brain & Neural Networks  10-  (4)  189  -200  2003/12
• Information geometry of turbo codes

  Shiro Ikeda; Toshiyuki Tanaka; Shun Ichi Amari  IEEE International Symposium on Information Theory - Proceedings  114  2002  [Refereed]
  
• Adaptive method of realizing natural gradient learning for multilayer perceptrons

  S Amari; H Park; K Fukumizu  NEURAL COMPUTATION  12-  (6)  1399  -1409  2000/06

Awards & Honors

• 2025/11 Technical University of Berlin Honorary Doctorate
   

  受賞者: 甘利俊一
• 2025/11 稲盛財団 京都賞先端技術部門
   

  受賞者: 甘利俊一
• 2025 IEEE Signal Processing Society 2025 IEEE Signal Processing Magazine Best Column Award
   

  受賞者: R. Zudnek;A. Cichocki;S. Amai
• 2019/11 日本政府 文化勲章
   情報幾何学と数理の科学に対する貢献 

  受賞者: 甘利俊一
• 2012/11 日本政府 文化功労者
   数理脳科学と情報幾何学 

  受賞者: 甘利俊一
• 1995 日本学士院 学士院賞
   神経回路網の数学理論 

  受賞者: 甘利俊一