Shun-ichi Amari

发表

Information Geometry and Its Applications

Shun-ichi Amari, S. Amari, 2016 .

Interpolating between Optimal Transport and MMD using Sinkhorn Divergences

Alain Trouvé, Shun-ichi Amari, François-Xavier Vialard, 2018, AISTATS.

Statistical Neurodynamics of Deep Networks: Geometry of Signal Spaces pdf

Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi, 2018, Nonlinear Theory and Its Applications, IEICE.

Information Geometry of Positive Measures and Positive-Definite Matrices: Decomposable Dually Flat Structure

Shun-ichi Amari, 2014, Entropy.

Equivalence Probability and Sparsity of Two Sparse Solutions in Sparse Representation

Yuanqing Li, Cuntai Guan, Andrzej Cichocki, 2008, IEEE Transactions on Neural Networks.

Improving Generalization Performance of Natural Gradient Learning Using Optimized Regularization by NIC

Shun-ichi Amari, Noboru Murata, Hyeyoung Park, 2004, Neural Computation.

Minkovskian Gradient for Sparse Optimization

Shun-ichi Amari, Masahiro Yukawa, S. Amari, 2013, IEEE Journal of Selected Topics in Signal Processing.

Log-Determinant Divergences Revisited: Alpha-Beta and Gamma Log-Det Divergences pdf

Sergio Cruces, Andrzej Cichocki, Shun-ichi Amari, 2014, Entropy.

On Conformal Divergences and Their Population Minimizers

Frank Nielsen, Richard Nock, Shun-ichi Amari, 2013, IEEE Transactions on Information Theory.

The Minimum Entropy and Cumulants Based Contrast Functions for Blind Source Extraction

Sergio Cruces, Andrzej Cichocki, Shun-ichi Amari, 2001, IWANN.

Dual cascade networks for blind signal extraction

Shun-ichi Amari, Andrzej Cichocki, Ruck Thawonmas, 1997, Proceedings of International Conference on Neural Networks (ICNN'97).

Unfaithful population decoding

Si Wu, Shun-ichi Amari, Danmei Chen, 2000, Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium.

Analysis of Sparse Representation and Blind Source Separation

Yuanqing Li, Andrzej Cichocki, Shun-ichi Amari, 2004, Neural Computation.

Belief propagation and turbo code: Information geometrical view

Shun-ichi Amari, Toshiyuki Tanaka, Shiro Ikeda, 2001 .

Stochastic Reasoning, Free Energy, and Information Geometry

Shun-ichi Amari, Toshiyuki Tanaka, Shiro Ikeda, 2004, Neural Computation.

ℓp-constrained least squares (0 < p < 1) and its critical path

Shun-ichi Amari, Masahiro Yukawa, 2012, 2012 IEEE International Symposium on Information Theory Proceedings.

Csiszár's Divergences for Non-negative Matrix Factorization: Family of New Algorithms

Andrzej Cichocki, Shun-ichi Amari, Rafal Zdunek, 2006, ICA.

Sequential Extraction of Minor Components

Shun-ichi Amari, Tianping Chen, Noboru Murata, 2001, Neural Processing Letters.

Information Geometry and Its Applications: Survey

Shun-ichi Amari, S. Amari, 2013, GSI.

Learned parametric mixture based ICA algorithm

Shun-ichi Amari, Lei Xu, Chi Chiu Cheung, 1998, Neurocomputing.

Measure of Correlation Orthogonal to Change in Firing Rate

Shun-ichi Amari, S. Amari, 2009, Neural Computation.

Information geometry for turbo decoding

Shun-ichi Amari, Toshiyuki Tanaka, Shiro Ikeda, 2005, Systems and Computers in Japan.

Piecewise-linear division of region by neural networks with maximum detectors

Shun-ichi Amari, Jian Zhuang, 1994, Systems and Computers in Japan.

Learning Coefficients of Layered Models When the True Distribution Mismatches the Singularities

Shun-ichi Amari, Sumio Watanabe, 2003, Neural Computation.

Shape Retrieval Using Hierarchical Total Bregman Soft Clustering

Frank Nielsen, Shun-ichi Amari, Baba C. Vemuri, 2012, IEEE Transactions on Pattern Analysis and Machine Intelligence.

Statistical Theory of Learning Curves under Entropic Loss Criterion

Shun-ichi Amari, Noboru Murata, S. Amari, 1993, Neural Computation.

Sparse Representation for Brain Signal Processing: A tutorial on methods and applications

Yong Xu, Yuanqing Li, Shun-ichi Amari, 2014, IEEE Signal Processing Magazine.

Measuring Integrated Information from the Decoding Perspective

Toru Yanagawa, Naotaka Fujii, Shun-ichi Amari, 2015, PLoS Comput. Biol..

Blind source separation with convolutive noise cancellation

Andrzej Cichocki, Shun-ichi Amari, Wlodzimierz Kasprzak, 1997, Neural Computing & Applications.

Dynamical analysis of contrastive divergence learning: Restricted Boltzmann machines with Gaussian visible units

Masato Okada, Shun-ichi Amari, Ryo Karakida, 2016, Neural Networks.

Dynamics and Computation of Continuous Attractors

Si Wu, Shun-ichi Amari, Kosuke Hamaguchi, 2008, Neural Computation.

Information geometry of turbo codes

Shun-ichi Amari, Toshiyuki Tanaka, Shiro Ikeda, 2002, Proceedings IEEE International Symposium on Information Theory,.

Information geometry connecting Wasserstein distance and Kullback–Leibler divergence via the entropy-relaxed transportation problem

Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi, 2017, Information Geometry.

Natural gradient descent for on-line learning

Magnus Rattray, Shun-ichi Amari, David Saad, 1998 .

Sparse Representation and Its Applications in Blind Source Separation

Yuanqing Li, Andrzej Cichocki, Shun-ichi Amari, 2003, NIPS.

Sparse Super Symmetric Tensor Factorization

Andrzej Cichocki, Shun-ichi Amari, Rafal Zdunek, 2007, ICONIP.

Information Geometry of Loopy BP

Shun-ichi Amari, Toshiyuki Tanaka, Shiro Ikeda, 2003 .

Identification of Directed Influence: Granger Causality, Kullback-Leibler Divergence, and Complexity

Shun-ichi Amari, Abd-Krim Seghouane, S. Amari, 2012, Neural Computation.

A universal theorem on learning curves

Shun-ichi Amari, S. Amari, 1993, Neural Networks.

A robust approach to independent component analysis of signals with high-level noise measurements

Andrzej Cichocki, Shun-ichi Amari, Noboru Murata, 2003, IEEE Trans. Neural Networks.

ℓp-Regularized Least Squares (0

Shun-ichi Amari, Masahiro Yukawa, S. Amari, 2016, IEEE Transactions on Information Theory.

Conformal Transformation of Kernel Functions: A Data-Dependent Way to Improve Support Vector Machine Classifiers

Si Wu, Shun-ichi Amari, S. Amari, 2002, Neural Processing Letters.

Adaptive paraunitary filter banks for principal and minor subspace analysis

Sun-Yuan Kung, Shun-ichi Amari, Scott C. Douglas, 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

Information geometry of the EM and em algorithms for neural networks

Shun-ichi Amari, S. Amari, 1995, Neural Networks.

Kalman filter and state-space approach to blind deconvolution

Shun-ichi Amari, Andrzej Cichocki, L.-Q. Zhang, 2000, Neural Networks for Signal Processing X. Proceedings of the 2000 IEEE Signal Processing Society Workshop (Cat. No.00TH8501).

Information-theoretic approach to blind separation of sources in non-linear mixture

Andrzej Cichocki, Shun-ichi Amari, Howard Hua Yang, 1998, Signal Process..

H1.1 Mathematical theories of neural networks

Shun-ichi Amari, S. Amari, 1997 .

Postnonlinear Overcomplete Blind Source Separation Using Sparse Sources

Fabian J. Theis, Shun-ichi Amari, Fabian J Theis, 2004, ICA.

Mutual information of sparsely coded associative memory with self-control and ternary neurons

Shun-ichi Amari, Désiré Bollé, David Renato C. Dominguez-Carreta, 2000, Neural Networks.

This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. 1 Total Bregman Divergence and its Applications to DTI Analysis

Frank Nielsen, Shun-ichi Amari, Baba C. Vemuri, 2022 .

Information Geometry and Neural Networks

Shun-ichi Amari, S. Amari, 1998 .

Sequential blind signal extraction in order specified by stochastic properties

Shun-ichi Amari, Andrzej Cichocki, Ruck Thawonmas, 1997 .

Two spatio-temporal decorrelation learning algorithms and their application to multichannel blind deconvolution

Andrzej Cichocki, Shun-ichi Amari, Seungjin Choi, 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

Divergence, Optimization and Geometry

Shun-ichi Amari, S. Amari, 2009, ICONIP.

Natural gradient learning for second-order nonstationary source separation

Shun-ichi Amari, Seungjin Choi, Andrzej Cichocki, 2002, Proceedings of the 2002 International Joint Conference on Neural Networks. IJCNN'02 (Cat. No.02CH37290).

Natural Gradient Learning Algorithms for Decorrelation

Andrzej Cichocki, Shun-ichi Amari, Seungjin Choi, 1997, ICONIP.

Non-Holonomic Constraints in Learning Blind Source Separation

Andrzej Cichocki, Shun-ichi Amari, Ta Chen, 1997, International Conference on Neural Information Processing.

Information Geometry of Turbo Code And Gallager Code.

Shun-ichi Amari, Toshiyuki Tanaka, Shiro Ikeda, 2001 .

Comparison of ICA/BSS algorithms for noisy data

Shun-ichi Amari, Seungjin Choi, Soo-Young Lee, 2000 .

Geometrical methods in neural networks and learning

Shun-ichi Amari, Simone G. O. Fiori, S. Amari, 2005, Neurocomputing.

Dynamics of Learning Near Singularities in Layered Networks

Shun-ichi Amari, Haikun Wei, Florent Cousseau, 2008, Neural Computation.

Field theory of self-organizing neural nets

Shun-ichi Amari, S. Amari, 1983, IEEE Transactions on Systems, Man, and Cybernetics.

Information Geometry and the EM Algorithm

Shun-ichi Amari, 1994 .

Attention modulation of neural tuning through peak and base rate in correlated firing

Shun-ichi Amari, Hiroyuki Nakahara, S. Amari, 2002, Neural Networks.

Eigenvalue Analysis on Singularity in RBF networks

Shun-ichi Amari, Haikun Wei, S. Amari, 2007, 2007 International Joint Conference on Neural Networks.

On-line adaptive algorithms in non-stationary environments using a modified conjugate gradient approach

Shun-ichi Amari, Andrzej Cichocki, B. Orsier, 1997, Neural Networks for Signal Processing VII. Proceedings of the 1997 IEEE Signal Processing Society Workshop.

Modeling Basal Ganglia for Understanding Parkinsonian Reaching Movements

Shun-ichi Amari, Balaraman Ravindran, V. Srinivasa Chakravarthy, 2010, Neural Computation.

Underdetermined blind source separation based on sparse representation

Daniel W. C. Ho, Yuanqing Li, Andrzej Cichocki, 2006, IEEE Transactions on Signal Processing.

Information Geometry and Its Applications: Convex Function and Dually Flat Manifold

Shun-ichi Amari, S. Amari, 2009, ETVC.

Statistical Theory of Overtraining - Is Cross-Validation Asymptotically Effective?

Klaus-Robert Müller, Shun-ichi Amari, Noboru Murata, 1995, NIPS.

Stability Analysis of Learning Algorithms for Blind Source Separation

Andrzej Cichocki, Shun-ichi Amari, Tianping Chen, 1997, Neural Networks.

Statistical Analysis of Regularization Constant - From Bayes, MDL and NIC Points of View

Shun-ichi Amari, Noboru Murata, 1997, IWANN.

Non-Negative Tensor Factorization using Alpha and Beta Divergences

Andrzej Cichocki, Shun-ichi Amari, Seungjin Choi, 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

Neural Information Processing

Shun-ichi Amari, S. Amari, 1987 .

From blind signal extraction to blind instantaneous signal separation: criteria, algorithms, and stability

Sergio Cruces, Andrzej Cichocki, Shun-ichi Amari, 2004, IEEE Transactions on Neural Networks.

Hierarchical ALS Algorithms for Nonnegative Matrix and 3D Tensor Factorization

Andrzej Cichocki, Shun-ichi Amari, Rafal Zdunek, 2007, ICA.

Critical Lines in Symmetry of Mixture Models and its Application to Component Splitting

Kenji Fukumizu, Shun-ichi Amari, Shotaro Akaho, 2002, NIPS.

Combining Classifiers and Learning Mixture-of-Experts

Shun-ichi Amari, Lei Xu, S. Amari, 2009, Encyclopedia of Artificial Intelligence.

Equi-convergence Algorithm for Blind Separation of Sources with Arbitrary Distributions

Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari, 2001, IWANN.

Dynamic behavior of the robust decorrelation process

Shun-ichi Amari, Tianping Chen, S. Amari, 2000, Neurocomputing.

Natural gradient algorithm for blind separation of overdetermined mixture with additive noise

Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari, 1999, IEEE Signal Processing Letters.

Semiparametric model and superefficiency in blind deconvolution

Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari, 2001, Signal Process..

Gene Interaction in DNA Microarray Data Is Decomposed by Information Geometric Measure

Masato Inoue, Shun-ichi Amari, Gen Hori, 2003, Bioinform..

On gradient adaptation with unit-norm constraints

Sun-Yuan Kung, Shun-ichi Amari, Scott C. Douglas, 2000, IEEE Trans. Signal Process..

Dynamics of learning near singularities in radial basis function networks

Shun-ichi Amari, Haikun Wei, S. Amari, 2008, Neural Networks.

Information Geometrical Framework for Analyzing Belief Propagation Decoder

Shun-ichi Amari, Toshiyuki Tanaka, Shiro Ikeda, 2001, NIPS.

Global Convergence Rate of Recurrently Connected Neural Networks

Shun-ichi Amari, Tianping Chen, Wenlian Lu, 2002, Neural Computation.

Prediction error of stochastic learning machine

Shun-ichi Amari, Noboru Murata, K. Ikeda, 1994, Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN'94).

Parameter estimation with multiterminal data compression

Shun-ichi Amari, Te Sun Han, S. Amari, 1995, IEEE Trans. Inf. Theory.

Families of Alpha- Beta- and Gamma- Divergences: Flexible and Robust Measures of Similarities

Andrzej Cichocki, Shun-ichi Amari, S. Amari, 2010, Entropy.

Asymptotic statistical theory of overtraining and cross-validation

Klaus-Robert Müller, Shun-ichi Amari, Noboru Murata, 1997, IEEE Trans. Neural Networks.

Blind estimation of channel parameters and source components for EEG signals: a sparse factorization approach

Yuanqing Li, Andrzej Cichocki, Shun-ichi Amari, 2006, IEEE Transactions on Neural Networks.

Mathematical foundations of neurocomputing

Shun-ichi Amari, S. Amari, S. Amari, 1990, Proc. IEEE.

Information geometry of neural learning and belief propagation

Shun-ichi Amari, 2002, Proceedings of the 9th International Conference on Neural Information Processing, 2002. ICONIP '02..

Information geometry of turbo and low-density parity-check codes

Shun-ichi Amari, Toshiyuki Tanaka, Shiro Ikeda, 2004, IEEE Transactions on Information Theory.

A common neural-network model for unsupervised exploratory data analysis and independent component analysis

Andrzej Cichocki, Shun-ichi Amari, Mark A. Girolami, 1998, IEEE Trans. Neural Networks.

Information geometry of statistical inference - an overview

Shun-ichi Amari, 2002, Proceedings of the IEEE Information Theory Workshop.

Generalization Error and Training Error at Singularities of Multilayer Perceptrons

Shun-ichi Amari, Hyeyoung Park, Tomoko Ozeki, 2001, IWANN.

Robust techniques for independent component analysis (ICA) with noisy data

Andrzej Cichocki, Shun-ichi Amari, Scott C. Douglas, 1998, Neurocomputing.

The Efficiency and the Robustness of Natural Gradient Descent Learning Rule

Shun-ichi Amari, Howard Hua Yang, S. Amari, 1997, NIPS.

Learning and statistical inference

Shun-ichi Amari, S. Amari, 1998 .

The Normalization Method for Alleviating Pathological Sharpness in Wide Neural Networks

Shun-ichi Amari, Shotaro Akaho, Ryo Karakida, 2019, NeurIPS.

Multichannel blind deconvolution of nonminimum-phase systems using filter decomposition

Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari, 2004, IEEE Transactions on Signal Processing.

Exponential Convergence of Delayed Dynamical Systems

Shun-ichi Amari, Tianping Chen, S. Amari, 2001, Neural Computation.

Modeling Memory Transfer and Saving in Cerebellar Motor Learning

Shun-ichi Amari, Naoki Masuda, S. Amari, 2005, NIPS.

Characteristics of randomly connected threshold-element networks and network systems

Shun-ichi Amari, S. Amari, S. Amari, 1971 .

Dually flat structure with escort probability and its application to alpha-Voronoi diagrams pdf

Shun-ichi Amari, Hiroshi Matsuzoe, Atsumi Ohara, 2010, ArXiv.

Extended SMART Algorithms for Non-negative Matrix Factorization

Zhaoshui He, Andrzej Cichocki, Shun-ichi Amari, 2006, ICAISC.

Adaptive Natural Gradient Learning Algorithms for Unnormalized Statistical Models

Masato Okada, Shun-ichi Amari, Ryo Karakida, 2016, ICANN.

Population Coding, Bayesian Inference and Information Geometry

Shun-ichi Amari, 2005, ISNN.

Adaptive blind signal processing-neural network approaches

Shun-ichi Amari, Andrzej Cichocki, S. Amari, 1998, Proc. IEEE.

Global Exponential Stability of Multitime Scale Competitive Neural Networks With Nonsmooth Functions

Hongtao Lu, Shun-ichi Amari, S. Amari, 2006, IEEE Transactions on Neural Networks.

Data compression in multiterminal statistical inference —linear-threshold encoding

Shun-ichi Amari, 2011, 2011 IEEE International Symposium on Information Theory Proceedings.

Geometrical Singularities in the Neuromanifold of Multilayer Perceptrons

Shun-ichi Amari, Hyeyoung Park, Tomoko Ozeki, 2001, NIPS.

Learning and inference in hierarchical models with singularities

Shun-ichi Amari, Hyeyoung Park, Tomoko Ozeki, 2003, Systems and Computers in Japan.

Population Coding and Decoding in a Neural Field: A Computational Study

Si Wu, Shun-ichi Amari, Hiroyuki Nakahara, 2002, Neural Computation.

Gradient Adaptive Paraunitary Filter Banks for Spatio-Temporal Subspace Analysis and Multichannel Blind Deconvolution

Sun-Yuan Kung, Shun-ichi Amari, Scott C. Douglas, 2004, J. VLSI Signal Process..

Online Learning Dynamics of Radial Basis Function Neural Networks near the Singularity

Shun-ichi Amari, Haikun Wei, S. Amari, 2006, The 2006 IEEE International Joint Conference on Neural Network Proceedings.

Information Geometry for Regularized Optimal Transport and Barycenters of Patterns

Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi, 2019, Neural Computation.

Complexity Issues in Natural Gradient Descent Method for Training Multilayer Perceptrons

Shun-ichi Amari, Howard Hua Yang, S. Amari, 1998, Neural Computation.

Local minima and plateaus in hierarchical structures of multilayer perceptrons

Kenji Fukumizu, Shun-ichi Amari, S. Amari, 2000, Neural Networks.

Neural network approach to blind separation and enhancement of images

Andrzej Cichocki, Shun-ichi Amari, Wlodzimierz Kasprzak, 1996, 1996 8th European Signal Processing Conference (EUSIPCO 1996).

On Some Singularities in Parameter Estimation Problems

Shun-ichi Amari, Marat V. Burnashev, 2003, Probl. Inf. Transm..

Population Coding with Correlation and an Unfaithful Model

Si Wu, Shun-ichi Amari, Hiroyuki Nakahara, 2001, Neural Computation.

Estimating Spiking Irregularities Under Changing Environments

Masato Okada, Shun-ichi Amari, Keiji Miura, 2006, Neural Computation.

Strategy Under the Unknown Stochastic Environment: the Nonparametric Lob—Pass Problem

Shun-ichi Amari, K. Hiraoka, S. Amari, 1998, Algorithmica.

Independent component analysis by the information-theoretic approach with mixture of densities

Shun-ichi Amari, Lei Xu, Chi Chiu Cheung, 1997, Proceedings of International Conference on Neural Networks (ICNN'97).

A Novel Approach to Canonical Divergences within Information Geometry

Shun-ichi Amari, Nihat Ay, S. Amari, 2015, Entropy.

Training error, generalization error and learning curves in neural learning

Shun-ichi Amari, S. Amari, 1995, Proceedings 1995 Second New Zealand International Two-Stream Conference on Artificial Neural Networks and Expert Systems.

Mathematical theories of neural networks

Shun-ichi Amari, S. Amari, 1997 .

Unified framework for information integration based on information geometry

Shun-ichi Amari, Masafumi Oizumi, Naotsugu Tsuchiya, 2015, Proceedings of the National Academy of Sciences.

Blind source separation-semiparametric statistical approach

Shun-ichi Amari, Jean-François Cardoso, S. Amari, 1997, IEEE Trans. Signal Process..

Adaptive Online Learning Algorithms for Blind Separation: Maximum Entropy and Minimum Mutual Information

Shun-ichi Amari, Howard Hua Yang, S. Amari, 1997, Neural Computation.

Stability Analysis Of Adaptive Blind Source Separation

Shun-ichi Amari, Tianping Chen, Andrez Cichocki, 1997 .

The brain and computer

Shun-ichi Amari, 1993, Proceedings of 1993 International Conference on Neural Networks (IJCNN-93-Nagoya, Japan).

Correlation and Independence in the Neural Code

Shun-ichi Amari, Hiroyuki Nakahara, 2006, Neural Computation.

Singularities Affect Dynamics of Learning in Neuromanifolds

Shun-ichi Amari, Hyeyoung Park, Tomoko Ozeki, 2006, Neural Comput..

Statistical analysis of learning dynamics

Shun-ichi Amari, Noboru Murata, S. Amari, 1999, Signal Process..

Nonlinearity and separation capability: further justification for the ICA algorithm with mixture of densities

Shun-ichi Amari, Jiong Ruan, Lei Xu, 1997, ESANN.

Learning Curves, Model Selection and Complexity of Neural Networks

Shun-ichi Amari, Noboru Murata, Shuji Yoshizawa, 1992, NIPS.

Natural Gradient Learning for Over- and Under-Complete Bases in ICA

Shun-ichi Amari, S. Amari, 1999, Neural Computation.

Statistical neurodynamics of associative memory

Shun-ichi Amari, Kenjiro Maginu, S. Amari, 1988, Neural Networks.

Analysis of Feasible Solutions of the ICA Problem Under the One-Bit-Matching Condition

Jinwen Ma, Shun-ichi Amari, Zhe Chen, 2006, ICA.

Robust Bayesian Tensor Factorization for Incomplete Multiway Data pdf

Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari, 2014, ArXiv.

Differential geometry of a parametric family of invertible linear systems—Riemannian metric, dual affine connections, and divergence

Shun-ichi Amari, S. Amari, 1987, Mathematical systems theory.

A Theory of Pattern Recognition

Shun-ichi Amari, S. Amari, 1968 .

Blind Separation of a Mixture of Uniformly Distributed Source Signals: A Novel Approach

Shun-ichi Amari, Jayanta Basak, S. Amari, 1999, Neural Computation.

Special topic section on advances in statistical signal processing for medicine

Shun-ichi Amari, José Carlos Príncipe, Sergio Cerutti, 2000, IEEE Trans. Biomed. Eng..

Adaptive On-line Learning in Changing Environments

Andreas Ziehe, Klaus-Robert Müller, Shun-ichi Amari, 1996, NIPS.

Modified Kohonen's self-organizing feature map and its application to automatic sleep cycle recognition

Shun-ichi Amari, S. Yoshizawa, M. Blanchet, 1993, Proceedings of 1993 International Conference on Neural Networks (IJCNN-93-Nagoya, Japan).

On-line learning in changing environments with applications in supervised and unsupervised learning

Motoaki Kawanabe, Andreas Ziehe, Klaus-Robert Müller, 2002, Neural Networks.

Introduction to Special Issue on Independent Components Analysis

Erkki Oja, Shun-ichi Amari, Te-Won Lee, 2003, J. Mach. Learn. Res..

The Lob-Pass Problem

Shun-ichi Amari, Naoki Abe, Jun'ichi Takeuchi, 2000, J. Comput. Syst. Sci..

Self-adaptive blind source separation based on activation functions adaptation

Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari, 2004, IEEE Transactions on Neural Networks.

Adaptive approach to blind source separation with cancellation of additive and convolutional noise

Shun-ichi Amari, Andrzej Cichocki, Włodzimierz Kasprzak, 1996, Proceedings of Third International Conference on Signal Processing (ICSP'96).

Multi-Layer Neural Networks with a Local Adaptive Learning Rule for Blind Separation of Source Signa

Shun-ichi Amari, Andrzej Cichocki, Włodzimierz Kasprzak, 1995 .

Probability estimation for recoverability analysis of blind source separation based on sparse representation

Yuanqing Li, Cuntai Guan, Andrzej Cichocki, 2006, IEEE Transactions on Information Theory.

Blind signal separation and independent component analysis

Aapo Hyvärinen, Shun-ichi Amari, Te-Won Lee, 2002, Neurocomputing.

State-space analysis on time-varying correlations in parallel spike sequences

Emery N. Brown, Sonja Grün, Shun-ichi Amari, 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

Information Geometry of Stochastic Multilayer Perceptron

Shun-ichi Amari, S. Amari, 1994 .

Synchronous Firing and Higher-Order Interactions in Neuron Pool

Yutaka Sakai, Si Wu, Shun-ichi Amari, 2003, Neural Computation.

Information geometry on hierarchy of probability distributions

Shun-ichi Amari, S. Amari, 2001, IEEE Trans. Inf. Theory.

Discrimination with Spike Times and ISI Distributions

Shun-ichi Amari, Kukjin Kang, S. Amari, 2008, Neural Computation.

Neural mechanisms of information processing in the brain

Shun-ichi Amari, S. Amari, 1987, Systems and Computers in Japan.

Data Compression in Multiterminal Statistical Inference

Shun-ichi Amari, Linear-Threshold Encoding, S. Amari, 2011 .

Blind equalization of SIMO channels via spatio-temporal anti-Hebbian learning rule

Shun-ichi Amari, Seungjin Choi, Andrzej Cichocki, 1998, Neural Networks for Signal Processing VIII. Proceedings of the 1998 IEEE Signal Processing Society Workshop (Cat. No.98TH8378).

Stability of asymmetric Hopfield networks

Shun-ichi Amari, Tianping Chen, S. Amari, 2001, IEEE Trans. Neural Networks.

Neuroscience data and tool sharing

Ulla Ruotsalainen, Arthur W. Toga, Gary F. Egan, 2003, Neuroinformatics.

Dualistic geometry of the manifold of higher-order neurons

Shun-ichi Amari, S. Amari, 1991, Neural Networks.

A New Learning Algorithm for Blind Signal Separation

Andrzej Cichocki, Shun-ichi Amari, Howard Hua Yang, 1995, NIPS.

Equivariant Nonstationary Source Separation

Andrzej Cichocki, Shun-ichi Amari, Seungjin Choi, 2002 .

Single-Trial Magnetoencephalographic Data Decomposition and Localization Based on Independent Component Analysis Approach

Tsunehiro Takeda, Andrzej Cichocki, Shun-ichi Amari, 2000 .

On Density Estimation under Relative Entropy Loss Criterion

Shun-ichi Amari, Marat V. Burnashev, 2002, Probl. Inf. Transm..

Adaptive Blind Deconvolution and Equalization with Self-Adaptive Nonlinearities: An Information-theoretic Approach

Andrzej Cichocki, Shun-ichi Amari, Seungjin Choi, 1997, ICONIP.

Self-whitening algorithms for adaptive equalization and deconvolution

Andrzej Cichocki, Shun-ichi Amari, Scott C. Douglas, 1999, IEEE Trans. Signal Process..

Semi-Blind Signal Processing and Identification

Andrzej Cichocki, Shun-ichi Amari, 2001 .

Novel Multi-layer Non-negative Tensor Factorization with Sparsity Constraints

Andrzej Cichocki, Shun-ichi Amari, Seungjin Choi, 2007, ICANNGA.

Information Geometry of Wasserstein Divergence

Shun-ichi Amari, Ryo Karakida, 2017, GSI.

The EM Algorithm and Information Geometry in Neural Network Learning

Shun-ichi Amari, S. Amari, 1995, Neural Computation.

A Theory of Adaptive Pattern Classifiers

Shun-ichi Amari, S. Amari, 1967, IEEE Trans. Electron. Comput..

Self-Organization in the Basal Ganglia with Modulation of Reinforcement Signals

Shun-ichi Amari, Hiroyuki Nakahara, Okihide Hikosaka, 2002, Neural Computation.

On different ensembles of kernel machines

Shun-ichi Amari, Massimiliano Pontil, Hiroyuki Nakahara, 2003, ESANN.

Adaptive natural gradient learning algorithms for various stochastic models

Kenji Fukumizu, Shun-ichi Amari, Hyeyoung Park, 2000, Neural Networks.

Adaptive blind signal and image processing

Andrzej Cichocki, Shun-ichi Amari, S. Amari, 2002 .

On Clustering Histograms with k-Means by Using Mixed α-Divergences

Frank Nielsen, Richard Nock, Shun-ichi Amari, 2014, Entropy.

Iterative design of regularizers based on data by minimizing generalization errors

Shun-ichi Amari, Masumi Ishikawa, Hirohito Shimada, 2000, Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium.

Blind signal separation: mathematical foundations of ICA, sparse component analysis, and other techniques

Shun-ichi Amari, S. Amari, 2005, SPIE Defense + Commercial Sensing.

Fisher Information and Natural Gradient Learning of Random Deep Networks

Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi, 2018, AISTATS.

A Comparison of Descriptive Models of a Single Spike Train by Information-Geometric Measure

Shun-ichi Amari, Barry J. Richmond, Hiroyuki Nakahara, 2006, Neural Computation.

Removal of ballistocardiogram artifacts from simultaneously recorded EEG and fMRI data using independent component analysis

Andrzej Cichocki, Shun-ichi Amari, Kimitaka Anami, 2006, IEEE Transactions on Biomedical Engineering.

Fisher information for spike-based population decoding.

Kazuyuki Aihara, Shun-ichi Amari, Taro Toyoizumi, 2006, Physical review letters.

Dynamics of Learning in Multilayer Perceptrons Near Singularities

Shun-ichi Amari, Florent Cousseau, Tomoko Ozeki, 2008, IEEE Transactions on Neural Networks.

Information Loss Associated with Imperfect Observation and Mismatched Decoding

Masato Okada, Shun-ichi Amari, Masafumi Oizumi, 2011, Front. Comput. Neurosci..

Signal Processing and Optimization

Shun-ichi Amari, S. Amari, 2016 .

Difficulty of Singularity in Population Coding

Shun-ichi Amari, Hiroyuki Nakahara, S. Amari, 2005, Neural Computation.

Two Gradient Descent Algorithms for Blind Signal Separation

Shun-ichi Amari, Howard Hua Yang, S. Amari, 1996, ICANN.

Four Types of Learning Curves

Shun-ichi Amari, Shigeru Shinomoto, Naotake Fujita, 1992, Neural Computation.

Theory of Self-Organizing Nerve Nets with Special Reference to Association and Concept Formation

Shun-ichi Amari, S. Amari, 1979, IJCAI.

$\alpha$ -Divergence Is Unique, Belonging to Both $f$-Divergence and Bregman Divergence Classes

Shun-ichi Amari, S. Amari, 2009, IEEE Transactions on Information Theory.

Learning Patterns and Pattern Sequences by Self-Organizing Nets of Threshold Elements

Shun-ichi Amari, S. Amari, 1972, IEEE Transactions on Computers.

Part 1: Tutorial series on brain-inspired computing

Shun-ichi Amari, S. Amari, 2005, New Generation Computing.

Statistical Inference Under Multiterminal Data Compression

Shun-ichi Amari, Te Sun Han, S. Amari, 1998, IEEE Trans. Inf. Theory.

Differential geometric structures of stable state feedback systems with dual connections

Shun-ichi Amari, Atsumi Ohara, S. Amari, 1992, Kybernetika.

Neural Network Models for Blind Separation of Time Delayed and Convolved Signals

Shun-ichi Amari, Jianting Cao, Andrzej Cichocki, 1997 .

Theoretical Study of Oscillator Neurons in Recurrent Neural Networks

Zhang Yi, Shun-ichi Amari, Lei Zhang, 2018, IEEE Transactions on Neural Networks and Learning Systems.

Mathematical Methods of Neurodynamics and Self-Organization

Shun-ichi Amari, S. Amari, 1988 .

Why natural gradient?

Shun-ichi Amari, Scott C. Douglas, S. Amari, 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

Statistical inference under multiterminal rate restrictions: A differential geometric approach

Shun-ichi Amari, Te Sun Han, S. Amari, 1989, IEEE Trans. Inf. Theory.

BSC: Testing of Hypotheses with Information Constraints

Shun-ichi Amari, Te Sun Han, Marat Valievich Burnashev, 2000 .

/spl alpha/-parallel prior and its properties

Shun-ichi Amari, Jun'ichi Takeuchi, S. Amari, 2005, IEEE Transactions on Information Theory.

Attention Modulation of Neural Tuning Through Peak and Base Rate

Si Wu, Shun-ichi Amari, Hiroyuki Nakahara, 2001, Neural Computation.

Spontaneous Motion on Two-Dimensional Continuous Attractors

Shun-ichi Amari, C. C. Alan Fung, 2015, Neural Computation.

Auto-associative memory with two-stage dynamics of nonmonotonic neurons

Shun-ichi Amari, Hiro-Fumi Yanai, S. Amari, 1996, IEEE Trans. Neural Networks.

Bayesian Robust Tensor Factorization for Incomplete Multiway Data

Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari, 2014, IEEE Transactions on Neural Networks and Learning Systems.

Geometry of Information Integration pdf

Shun-ichi Amari, Masafumi Oizumi, Naotsugu Tsuchiya, 2017, ArXiv.

Differential-geometrical methods in statistics

Shun-ichi Amari, S. Amari, 1985 .

Blind separation of uniformly distributed signals: a general approach

Shun-ichi Amari, Jayanta Basak, S. Amari, 1999, IEEE Trans. Neural Networks.

Information geometry for turbo decoding

Shun-ichi Amari, Toshiyuki Tanaka, Shiro Ikeda, 2005 .

Information-Geometrical Significance of Sparsity in Gallager Codes

Shun-ichi Amari, Toshiyuki Tanaka, Shiro Ikeda, 2001, NIPS.

Recurrent Neural Networks For Blind Separation of Sources

Shun-ichi Amari, Andrzej Cichocki, Howard Hua Yang, 1995 .

On-Line Learning in Neural Networks: Annealed On-line Learning in Multilayer Neural Networks

Shun-ichi Amari, Siegfried Bös, S. Amari, 1999 .

Standard Divergence in Manifold of Dual Affine Connections

Shun-ichi Amari, Nihat Ay, 2015, GSI.

Improved Parameter Estimation for Variance-stabilizing Transformation of Gene-expression Microarray Data

Masato Inoue, Shun-ichi Amari, Gen Hori, 2004, J. Bioinform. Comput. Biol..

Unbiased Estimator of Shape Parameter for Spiking Irregularities under Changing Environments

Masato Okada, Shun-ichi Amari, Keiji Miura, 2005, NIPS.

Neural Learning in Structured Parameter Spaces - Natural Riemannian Gradient

Shun-ichi Amari, S. Amari, 1996, NIPS.

Neural Computing* (Extended Abstract)

Shun-ichi Amari, S. Amari, 1991 .

Mathematical Approach to Information and Brain

Shun-ichi Amari, S. Amari, 2007 .

Information-Geometric Measures as Robust Estimators of Connection Strengths and External Inputs

Shun-ichi Amari, Jean-Marc Fellous, Masami Tatsuno, 2009, Neural Computation.

Two Conditions for Equivalence of 0-Norm Solution and 1-Norm Solution in Sparse Representation

Yuanqing Li, Shun-ichi Amari, 2010, IEEE Transactions on Neural Networks.

Generalized Alpha-Beta Divergences and Their Application to Robust Nonnegative Matrix Factorization

Sergio Cruces, Andrzej Cichocki, Shun-ichi Amari, 2011, Entropy.

Novel On-Line Adaptive Learning Algorithms for Blind Deconvolution Using the Natural Gradient Approach

Shun-ichi Amari, Scott C. Douglas, Andrzej Cichocki, 1997 .

Independent component analysis for unaveraged single-trial MEG data decomposition and single-dipole source localization

Andrzej Cichocki, Shun-ichi Amari, Noboru Murata, 2002, Neurocomputing.

On the condition for fast neural computation

Si Wu, Shun-ichi Amari, 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

Associative Memory and Its Statistical Neurodynamical Analysis

Shun-ichi Amari, 1988 .

Statistical neurodynamics of various types of associative nets

Shun-ichi Amari, Hiro-Fumi Yanai, S. Amari, 1993 .

A new discriminant NMF algorithm and its application to the extraction of subtle emotional differences in speech

Shun-ichi Amari, Soo-Young Lee, Hyun-Ah Song, 2012, Cognitive Neurodynamics.

Semiparametric Approach to Multichannel Blind Deconvolution of Nonminimum Phase Systems

Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari, 1999, NIPS.

Maximum likelihood learning of RBMs with Gaussian visible units on the Stiefel manifold

Masato Okada, Shun-ichi Amari, Ryo Karakida, 2016, ESANN.

Dynamics of Learning in MLP: Natural Gradient and Singularity Revisited

Masato Okada, Shun-ichi Amari, Ryo Karakida, 2018, Neural Computation.

Information-Geometric Measure for Neural Spikes

Shun-ichi Amari, Hiroyuki Nakahara, S. Amari, 2002, Neural Computation.

Blind signal extraction using self-adaptive nonlinear Hebbian learning rule

Shun-ichi Amari, Andrzej Cichocki, Ruck Thawonmas, 1996 .

Independent Component Analysis (ICA) and Method of Estimating Functions (5th Workshop on Stochastic Numerics)

Shun-ichi Amari, S. Amari, 2001 .

New Consideration on Criteria of Model Selection

Shun-ichi Amari, 2003 .

Flexible Independent Component Analysis

Andrzej Cichocki, Shun-ichi Amari, Seungjin Choi, 2000, J. VLSI Signal Process..

Information processing in a neuron ensemble with the multiplicative correlation structure

Si Wu, Shun-ichi Amari, Hiroyuki Nakahara, 2004, Neural Networks.

Annealed online learning in multilayer neural networks

Shun-ichi Amari, Siegfried Bös, 1999 .

Total Bregman divergence and its applications to shape retrieval

Frank Nielsen, Shun-ichi Amari, Baba C. Vemuri, 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

Nonholonomic Orthogonal Learning Algorithms for Blind Source Separation

Andrzej Cichocki, Shun-ichi Amari, Tianping Chen, 2000, Neural Computation.

Semiparametric Approach to Blind Deconvolution

Liqing Zhang, Shun-ichi Amari, Jianting Cao, 1999 .

New theorems on global convergence of some dynamical systems

Shun-ichi Amari, Tianping Chen, S. Amari, 2001, Neural Networks.

Competitive and Cooperative Aspects in Dynamics of Neural Excitation and Self-Organization

Shun-ichi Amari, S. Amari, 1982 .

Information geometry of Boltzmann machines

Shun-ichi Amari, Koji Kurata, Hiroshi Nagaoka, 1992, IEEE Trans. Neural Networks.

Representative and Discriminant Feature Extraction Based on NMF for Emotion Recognition in Speech

Shun-ichi Amari, Soo-Young Lee, Dami Kim, 2009, ICONIP.

New Algorithms for Non-Negative Matrix Factorization in Applications to Blind Source Separation

Andrzej Cichocki, Shun-ichi Amari, Rafal Zdunek, 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

Future Research in Neural Computation

Shun-ichi Amari, James Anderson, Jacob M. Taylor, 1996 .

Self-adaptive neural networks for blind separation of sources

Shun-ichi Amari, Andrzej Cichocki, Włodzimierz Kasprzak, 1996, 1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96.

Discovering biomarkers from gene expression data for predicting cancer subgroups using neural networks and relational fuzzy clustering

Nikhil R. Pal, Shun-ichi Amari, Animesh Sharma, 2007, BMC Bioinformatics.

Information-Geometric Decomposition in Spike Analysis

Shun-ichi Amari, Hiroyuki Nakahara, 2001, NIPS.

Universal statistics of Fisher information in deep neural networks: mean field approach

Shun-ichi Amari, Shotaro Akaho, Ryo Karakida, 2018, AISTATS.

Network information criterion-determining the number of hidden units for an artificial neural network model

Shun-ichi Amari, Noboru Murata, Shuji Yoshizawa, 1994, IEEE Trans. Neural Networks.

On Optimal Data Compression in Multiterminal Statistical Inference

Shun-ichi Amari, 2011, IEEE Transactions on Information Theory.

Asymptotic behaviors of population codes

Si Wu, Shun-ichi Amari, Hiroyuki Nakahara, 2002, Neurocomputing.

Improving support vector machine classifiers by modifying kernel functions

Si Wu, Shun-ichi Amari, S. Amari, 1999, Neural Networks.

A unified algorithm for principal and minor components extraction

Qin Lin, Shun-ichi Amari, Tianping Chen, 1998, Neural Networks.

The Ideal Noisy Environment for Fast Neural Computation

Jianfeng Feng, Si Wu, Shun-ichi Amari, 2006, ISNN.

Convergence of the Wake-Sleep Algorithm

Shun-ichi Amari, Shiro Ikeda, Hiroyuki Nakahara, 1998, NIPS.

Computations Inspired from the Brain

Shun-ichi Amari, 2010, UC.

Information Geometry as Applied to Neural Spike Data

Shun-ichi Amari, S. Amari, 2014, Encyclopedia of Computational Neuroscience.

The Tracking Speed of Continuous Attractors

Si Wu, Shun-ichi Amari, Kosuke Hamaguchi, 2007, ISNN.

Beyond ICA: robust sparse signal representations

Yuanqing Li, Andrzej Cichocki, Shun-ichi Amari, 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

Information Geometry of Neural Networks

Shun-ichi Amari, S. Amari, 2000, PRICAI.

Information geometry of neural network—an overview

Shun-ichi Amari, S. Amari, 1997 .

The AIC Criterion and Symmetrizing the Kullback–Leibler Divergence

Shun-ichi Amari, Abd-Krim Seghouane, S. Amari, 2007, IEEE Transactions on Neural Networks.

Sequential Bayesian Decoding with a Population of Neurons

Si Wu, Shun-ichi Amari, Mahesan Niranjan, 2003, Neural Computation.

The Effect of Singularities in a Learning Machine when the True Parameters Do Not Lie on such Singularities

Shun-ichi Amari, Sumio Watanabe, 2002, NIPS.

Can Critical-Point Paths Under ℓp-Regularization (0

Shun-ichi Amari, Masahiro Yukawa, Kwangjin Jeong, 2014, IEEE Trans. Inf. Theory.

Conditional Mixture Model for Correlated Neuronal Spikes

Shun-ichi Amari, S. Amari, 2010, Neural Computation.

Estimating Functions of Independent Component Analysis for Temporally Correlated Signals

Shun-ichi Amari, S. Amari, 2000, Neural Computation.

Backpropagation and stochastic gradient descent method

Shun-ichi Amari, S. Amari, 1993, Neurocomputing.

On Some Extensions Of The Natural Gradient Algorithm

Shun-ichi Amari, Andrzej Cichocki, Pando G. Georgiev, 2001 .

Traveling Bumps and Their Collisions in a Two-Dimensional Neural Field

Yao Lu, Shun-ichi Amari, Yuzuru Sato, 2011, Neural Computation.

Unified stabilization approach to principal and minor components extraction algorithms

Shun-ichi Amari, Tianping Chen, S. Amari, 2001, Neural Networks.

Mathematical theory of neural learning

Shun-ichi Amari, S. Amari, 1991, New Generation Computing.

Neural Implementation of Bayesian Inference in Population Codes

Si Wu, Shun-ichi Amari, S. Amari, 2001, NIPS.

Independent Component Analysis (ICA) and Method of Estimating Functions

Shun-ichi Amari, 2002 .

Dreaming of mathematical neuroscience for half a century

Shun-ichi Amari, S. Amari, 2013, Neural Networks.

A Mathematical Approach to Neural Systems

Shun-ichi Amari, S. Amari, 1977 .

Geometry of q-Exponential Family of Probability Distributions

Shun-ichi Amari, Atsumi Ohara, S. Amari, 2011, Entropy.

Mathematical Theory of Neural Networks: A Personal and Historical Survey

Shun-ichi Amari, 2013 .

An Efficient Learning Algorithm Using Naturla Gradient and Second Order Information of Error Surface

Kenji Fukumizu, Shun-ichi Amari, Hyeyoung Park, 2000, PRICAI.

Independent Component Analysis in Multimedia Modeling

Lars Kai Hansen, Shun-ichi Amari, Jan Larsen, 2003 .

Information Geometry and Manifolds of Neural Networks

Shun-ichi Amari, 1994 .

A Numerical Study on Learning Curves in Stochastic Multilayer Feedforward Networks

Klaus Schulten, Klaus-Robert Müller, Shun-ichi Amari, 1996, Neural Computation.

A computational study of synaptic mechanisms of partial memory transfer in cerebellar vestibulo-ocular-reflex learning

Shun-ichi Amari, Naoki Masuda, S. Amari, 2008, Journal of Computational Neuroscience.

On-line learning in switching and drifting environments with application to blind source separation

Andreas Ziehe, Klaus-Robert Müller, Shun-ichi Amari, 1999 .

A One-Bit-Matching Learning Algorithm for Independent Component Analysis

Fei Ge, Jinwen Ma, Shun-ichi Amari, 2006, ICA.

Adaptive Blind Signal and Image Processing - Learning Algorithms and Applications

Andrzej Cichocki, Shun-ichi Amari, S. Amari, 2002 .

Information Geometry of Neuro-Manifolds

Shun-ichi Amari, S. Amari, 1998, International Conference on Neural Information Processing.

Neuroinformatics - Introduction

Michael A. Arbib, Shun-ichi Amari, Rolf Kötter, 2003, Neural Networks.

Population Decoding Based on an Unfaithful Model

Si Wu, Shun-ichi Amari, Noboru Murata, 1999, NIPS.

Identifiability of hidden Markov information sources and their minimum degrees of freedom

Shun-ichi Amari, Hisashi Ito, Kingo Kobayashi, 1992, IEEE Trans. Inf. Theory.

Future Perspective of 'Creating Brain' Program

Shun-ichi Amari, 1998, ICONIP.

Information Geometry of Belief Propagation

Shun-ichi Amari, Toshiyuki Tanaka, Shiro Ikeda, 2004 .

Self-Consistent Learning of the Environment

Shun-ichi Amari, Kukjin Kang, S. Amari, 2012, Neural Computation.

Computing with Continuous Attractors: Stability and Online Aspects

Si Wu, Shun-ichi Amari, S. Amari, 2005, Neural Computation.

Superefficiency in blind source separation

Shun-ichi Amari, S. Amari, 1999, IEEE Trans. Signal Process..

Local stability analysis of flexible independent component analysis algorithm

Andrzej Cichocki, Shun-ichi Amari, Seungjin Choi, 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

Pathological Spectra of the Fisher Information Metric and Its Variants in Deep Neural Networks

Shun-ichi Amari, Shotaro Akaho, Ryo Karakida, 2019, Neural Computation.

When Does Preconditioning Help or Hurt Generalization? pdf

Shun-ichi Amari, Jimmy Ba, Denny Wu, 2021, ICLR.

Wasserstein statistics in one-dimensional location scale models

Shun-ichi Amari, Takeru Matsuda, S. Amari, 2021, Annals of the Institute of Statistical Mathematics.

Dynamics of Learning In Hierarchical Models – Singularity and Milnor Attractor

Shun-ichi Amari, Haikun Wei, Florent Cousseau, 2011 .

$\ell _{p}$

-Regularized Least Squares

$(0

and Critical Path