S. Amari

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).

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

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

Integration of Stochastic Models by Minimizing -Divergence

S. Amari, 2007, Neural Computation.

Stability Analysis Of Adaptive Blind Source Separation

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

Recurrent Neural Networks For Blind Separation of Sources

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

Improving support vector machine classifiers by modifying kernel functions

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

Four Types of Learning Curves

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

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.

Singularities Affect Dynamics of Learning in Neuromanifolds

S. Amari, Hyeyoung Park, T. Ozeki, 2006, Neural Computation.

Blind equalization of switching channels by ICA and learning of learning rate

S. Amari, H. Yang, 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

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

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

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

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

SPARSE COMPONENT ANALYSIS FOR BLIND SOURCE SEPARATION WITH LESS SENSORS THAN SOURCES

S. Amari, A. Cichocki, Yuanqing Li, 2003 .

Asymptotic Theory of Estimation

S. Amari, 1985 .

A Cascade Neural Network for Blind Signal Extraction without Spurious Equilibria

S. Amari, A. Cichocki, R. Thawonmas, 1998 .

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

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

Robust Bayesian Tensor Factorization for Incomplete Multiway Data pdf

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

Nonnegative Matrix and Tensor Factorization [Lecture Notes]

S. Amari, A. Cichocki, R. Zdunek, 2008, IEEE Signal Processing Magazine.

Estimation of Network Parameters in Semiparametric Stochastic Perceptron

Motoaki Kawanabe, Shun-ichi Amari, S. Amari, 1994, Neural Computation.

Di erential Geometry of Estimating functions in Semiparametric Statistical Models

S. Amari, M. Kawanabe, Metr, 1993 .

Capacity of associative memory using a nonmonotonic neuron model

Masahiko Morita, Shuji Yoshizawa, Shun-ichi Amari, 1993, Neural Networks.

Statistical Neurodynamics

S. Amari, 1989, IEEE/CAM Information Theory Workshop at Cornell.

Sparsely coded associative memories: capacity and dynamical properties

S. Amari, C. Meunier, H. Yanai, 1991 .

Characteristics of sparsely encoded associative memory

Shun-ichi Amari, S. Amari, 1989, Neural Networks.

Characteristics of randomly connected threshold-element networks and network systems

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

Information geometry on hierarchy of probability distributions

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

Dualistic differential geometry of positive definite matrices and its applications to related problems

S. Amari, A. Ohara, N. Suda, 1996 .

When Does Preconditioning Help or Hurt Generalization? pdf

Taiji Suzuki, Roger B. Grosse, Ji Xu, 2020, ICLR.

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).

Semiparametric model and superefficiency in blind deconvolution

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

Geometrical structures of FIR manifold and their application to multichannel blind deconvolution

S. Amari, A. Cichocki, A. Cichocki, 1999, Neural Networks for Signal Processing IX: Proceedings of the 1999 IEEE Signal Processing Society Workshop (Cat. No.98TH8468).

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 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 on Hierarchical Decomposition of Stochastic Interactions

S. Amari, 2007 .

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

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

Unified stabilization approach to principal and minor components extraction algorithms

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

A self-stabilized minor subspace rule

S. Amari, S. Douglas, S. Kung, 1998, IEEE Signal Processing Letters.

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

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

A Numerical Study on Learning Curves in Stochastic Multilayer Feedforward Networks

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

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.

New theorems on global convergence of some dynamical systems

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

Identifiability of hidden markov processes and their minimum degrees of freedom

S. Amari, Hisashi Ito, Kingo Kobayashi, 1991 .

A method of statistical neurodynamics

Shun-ichi Amari, S. Amari, 1974, Kybernetik.

Learned parametric mixture based ICA algorithm

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

Training Multi-Layer Perceptrons by Natural Gradient Descent

S. Amari, H. H. Yang, H. H. Yang, 1997, ICONIP.

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

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

Curvature of Hessian manifolds

S. Amari, J. Armstrong, 2014 .

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

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

Information Geometry of α-Projection in Mean Field Approximation

S. Amari, S. Ikeda, H. Shimokawa, 2004 .

Dynamics of Learning Near Singularities in Layered Networks

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

Dynamics of Learning in Multilayer Perceptrons

S. Amari, T. Ozeki, F. Cousseau, 2008 .

Differential and Algebraic Geometry of Multilayer Perceptrons

S. Amari, T. Ozeki, 2001 .

Differential geometric structures of stable state feedback systems with dual connections

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

Adaptive blind signal and image processing

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

Gradient adaptation under unit-norm constraints

S. Amari, S. Douglas, S. Kung, 1998, Ninth IEEE Signal Processing Workshop on Statistical Signal and Array Processing (Cat. No.98TH8381).

Estimating function approach to multichannel blind deconvolution

S. Amari, A. Cichocki, A. Cichocki, 2000, IEEE APCCAS 2000. 2000 IEEE Asia-Pacific Conference on Circuits and Systems. Electronic Communication Systems. (Cat. No.00EX394).

CRITERIA FOR THE SIMULTANEOUS BLIND EXTRACTION OF ARBITRARY GROUPS OF SOURCES

S. Amari, A. Cichocki, S. Cruces, 2001 .

Statistical neurodynamics of associative memory

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

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

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

Dynamics of learning near singularities in radial basis function networks

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

S. Amari, A. Cichocki, R. Zdunek, 2009 .

Flexible Independent Component Analysis

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

Topographic organization of nerve fields

Shun-Ichi Amari, S. Amari, 1979, Neuroscience Letters.

Hierarchical ALS Algorithms for Nonnegative Matrix and 3D Tensor Factorization

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

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.

Mathematical theory on formation of category detecting nerve cells

S. Amari, A. Takeuchi, 1978, Biological Cybernetics.

Dynamic Interactions in Neural Networks: Models and Data

S. Amari, M. Arbib, 1988, Research Notes in Neural Computing.

Stochastic Reasoning, Free Energy, and Information Geometry

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

Information geometry

S. Amari, 2021, Japanese Journal of Mathematics.

Neural Implementation of Bayesian Inference in Population Codes

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

Approximate maximum likelihood source separation using the natural gradient

S. Amari, A. Cichocki, Liqing Zhang, 2001, 2001 IEEE Third Workshop on Signal Processing Advances in Wireless Communications (SPAWC'01). Workshop Proceedings (Cat. No.01EX471).

Multichannel blind deconvolution of nonminimum-phase systems using filter decomposition

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

Synchronous Firing and Higher-Order Interactions in Neuron Pool

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

Estimating Spiking Irregularities Under Changing Environments

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

Singularities Affect Dynamics of Learning in Neuromanifolds

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

A Novel Approach to Canonical Divergences within Information Geometry

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

Geometrical methods in neural networks and learning

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

Geometry of q-Exponential Family of Probability Distributions

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

Self-Consistent Learning of the Environment

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

Characteristics of Random Nets of Analog Neuron-Like Elements

Shun-ichi Amari, S. Amari, 1988, IEEE Trans. Syst. Man Cybern..

Exponential Convergence of Delayed Dynamical Systems

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

Bayesian Robust Tensor Factorization for Incomplete Multiway Data

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

Mathematical Methods of Neurodynamics and Self-Organization

Shun-ichi Amari, S. Amari, 1988 .

Information Geometry and Its Applications

Shun-ichi Amari, S. Amari, 2016 .

Sequential blind signal extraction in order specified by stochastic properties

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

Asymptotic behaviors of population codes

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

Neural Information Processing

Shun-ichi Amari, S. Amari, 1987 .

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.

Information Loss Associated with Imperfect Observation and Mismatched Decoding

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

Non-Holonomic Constraints in Learning Blind Source Separation

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

Population Coding with Correlation and an Unfaithful Model

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

Information Geometrical Framework for Analyzing Belief Propagation Decoder

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

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).

Sparse Representation and Its Applications in Blind Source Separation

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

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

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

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

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

Representation of higher-order statistical structures in natural scenes via spatial phase distributions

S. Amari, H. Soltanian-Zadeh, Hadi Maboudi, 2016, Vision Research.

Appendix A: Mathematical Preliminaries

S. Amari, A. Cichocki, 2002 .

Error bound of hypothesis testing with data compression

S. Amari, T. Han, H. Shimokawa, 1994, Proceedings of 1994 IEEE International Symposium on Information Theory.

State concentration exponent as a measure of quickness in Kauffman-type networks.

S. Amari, T. Toyoizumi, N. Masuda, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

Chapter 4: Statistical Manifolds

Calyampudi R. Rao, S. Amari, S. Lauritzen, 1987 .

1 Introduction – Problem Statements and Models

S. Amari, A. Phan, 2022 .

Information geometry of Boltzmann machines

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

Information Geometry of Multiple Spike Trains

S. Amari, 2010 .

Forty Years of Perceptrons

S. Amari, 2001 .

Information geometry of adaptive systems

S. Amari, Hyeyoung Park, T. Ozeki, 2000, Proceedings of the IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium (Cat. No.00EX373).

Information Geometry of Neural Networks | New Bayesian Duality Theory |

S. Amari, 1996 .

Gradient Learning in Structured Parameter Spaces: Adaptive Blind Separation of Signal Sources

S. Amari, Riken Riken Frontier, 1996 .

Geometrical theory of higher-order asymptotics of test, interval estimator and conditional inference

S. Amari, M. Kumon, 1983, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

Estimation in the Presence of Infinitely many Nuisance Parameters--Geometry of Estimating Functions

S. Amari, M. Kumon, 1988 .

Formation of topographic maps and columnar microstructures in nerve fields

S. Amari, A. Takeuchi, Akikazu Takeuchi, 1979, Biological Cybernetics.

On a new blind signal extraction algorithm: different criteria and stability analysis

Sergio Cruces, Andrzej Cichocki, Shun-ichi Amari, 2002, IEEE Signal Processing Letters.

Statistical learning by natural gradient descent

H. H. Yang, S. Amari, 2002 .

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

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

DIVERGENCE FUNCTION , INFORMATION MONOTONICITY AND INFORMATION GEOMETRY

Shun-ichi Amari, S. Amari, 2009 .

Semiparametric Approach to Blind Deconvolution

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

Mathematical Approach to Information and Brain

Shun-ichi Amari, S. Amari, 2007 .

Information Geometry of Belief Propagation

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

Statistical Theory of Learning Curves

S. Amari, 2007 .

Can Critical-Point Paths Under ℓp-Regularization (0

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

Information Geometry of Stochastic Multilayer Perceptron

Shun-ichi Amari, S. Amari, 1994 .

Mathematical theories of neural networks

Shun-ichi Amari, S. Amari, 1997 .

Information Geometry of Neuro-Manifolds

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

Extended SMART Algorithms for Non-negative

S. Amari, A. Cichocki, R. Zdunek, 2006 .

Neural Computing* (Extended Abstract)

Shun-ichi Amari, S. Amari, 1991 .

Future Research in Neural Computation

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

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

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

Comparison of ICA/BSS algorithms for noisy data

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

ℓp-Regularized Least Squares (0

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

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

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

A dually flat structure on the space of escort distributions

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

TLS and Its Improvements by Semiparametric Approach

S. Amari, M. Kawanabe, 2002 .

Estimation and learning of network parameters in semiparametric stochastic perceptron

S. Amari, M. Kawanabe, 1994, Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN'94).

Differential geometrical theory of statistics

Shun-ichi Amari, S. Amari, 1987 .

Supereciency in Blind Source Separation

S. Amari, 2022 .

Mutual Information of Three-State Low Activity Diluted Neural Networks with Self-Control

S. Amari, D. Bollé, D. Dominguez, 1998 .

Data Compression in Multiterminal Statistical Inference

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

Geometrical Structures of FIR Manifold and Multichannel Blind Deconvolution

Andrzej Cichocki, Shun-ichi Amari, Liqing Zhang, 2002 .

Self-Whitening Adaptive Equalization andDeconvolution

S. Amari, A. Cichocki, A. Douglas, 1998 .

MULTICHANNEL BLIND SEPARATION ANDDECONVOLUTION OF SOURCES WITHARBITRARY

S. Amari, A. Cichocki, DISTRIBUTIONSScott C. Douglas, 1997 .

Information Geometry of Turbo Code And Gallager Code.

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

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

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

Part 1: Tutorial series on brain-inspired computing

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

Relationships between instantaneous blind source separation and multichannel blind deconvolution

Andrzej Cichocki, S. Amari, A. Cichocki, 1998, 1998 IEEE International Joint Conference on Neural Networks Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36227).

Natural Gradient Learning Algorithms for Decorrelation

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

Natural Gradient Learning for Spatio-temporal Decorrelation : Recurrent Network

S. Amari, A. Cichocki, Shunichi AMARI, 2001 .

Wasserstein statistics in one-dimensional location scale models

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

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

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

Neuroinformatics - Introduction

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

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

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

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

Shun-ichi Amari, S. Amari, 2001 .

Information Geometry and Neural Networks

Shun-ichi Amari, S. Amari, 1998 .

Can Critical-Point Paths Under ${\ell}_{{p}}$ -Regularization $(0

S. Amari, M. Yukawa, Kwangjin Jeong, 2014, IEEE Transactions on Information Theory.

Curvature of Hessian Manfiolds

S. Amari, J. Armstrong, 2013, 1312.1103.

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

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

Microscopic instability in recurrent neural networks.

S. Amari, S. Shinomoto, Yuzuru Yamanaka, 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

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Statistical mechanical analysis of learning dynamics of two-layer perceptron with multiple output units

Masato Okada, Yuki Yoshida, Ryo Karakida, 2019, Journal of Physics A: Mathematical and Theoretical.

$\ell _{p}$

-Regularized Least Squares

$(0

and Critical Path

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

Singularities in Learning Models : Gaussian Random Field Approach

S. Amari, T. Ozeki, Hyeyoung, 2007 .

On Some Estimation Problems with Information Constraints

M. V. Burnashev, Te Sun Han, S. Amari, 2002 .

On Some Testing of Hypothesis Problems with Information Constraints

S. Amari, T. Han, M. Burnashev, 2001 .

Singularities in neural networks make Bayes generalization errors smaller even if they do not contain the true

S. Amari, Sumio Watanabe, S. Watanabe, 2002, Proceedings of the 9th International Conference on Neural Information Processing, 2002. ICONIP '02..

Stochastic Perceptron and Semiparametric Statistical Inference

S. Amari, M. Kawanabe, Metr, 1993 .

Introduction – Problem Statements and Models

S. Amari, A. Cichocki, R. Zdunek, 2009 .

Neuroscience data and tool sharing - A legal and policy framework for neuroinformatics

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

Statistical neurodynamics of various types of associative nets

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

of Statistics and Its Application Computational Neuroscience : Mathematical and Statistical Perspectives

Emery N. Brown, Sonja Grün, Tomoki Fukai, 2018 .

Achieving precise mechanical control in intrinsically noisy systems

S. Amari, Jianfeng Feng, Wenlian Lu, 2013, 1304.7955.

Integration of Stochastic Models by Minimizing alpha-Divergence

Shun-ichi Amari, S. Amari, 2007, Neural Comput..

Information Geometry

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S. Amari, 2018 .

Neuroinformatics: the integration of shared databases and tools towards integrative neuroscience.

Ulla Ruotsalainen, David Willshaw, Carmen Gonzalez, 2002, Journal of integrative neuroscience.

Alternating Least Squares and Related Algorithms for NMF and SCA Problems

Andrzej Cichocki, Anh Huy Phan, Rafal Zdunek, 2009 .

Blind Decorrelation and SOS for Robust Blind Identification

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

21aWB-2 Dynamics of Learning in Multilayer Perceptrons near the Singularity

Shun-ichi Amari, Tomoko Ozeki, Florent Cousseaul, 2007 .

An Experimental Study on Asymptotic Learning Curves

Klaus Schulten, Noboru Murata, Michael Finke, 1995 .

Bayes factor analysis for detection of time-dependent higher-order spike correlations

S. Amari, S. Grün, E. Brown, 2009, BMC Neuroscience.

An extended first approximation model for the amygdaloid kindling phenomenon

S. Amari, I. Lieblich, 1978, Biological Cybernetics.

Introduction to Blind Signal Processing: Problems and Applications

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

On different ensembles of kernel machines

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

I T ] 7 S ep 2 01 7 Geometry of Information Integration

S. Amari, Masafumi Oizumi, N. Tsuchiya, 2018 .

Information geometry

S. Amari, 2021, Japanese Journal of Mathematics.

Formation of cortical cognitive map by self-organization

S. Amari, 1993 .

Chapter 2: Differential Geometrical Theory of Statistics

R. E. Kass, Calyampudi R. Rao, C. R. Rao, 1987 .

Estimation of a structural parameter in the presence of a large number of nuisance parameters

S. Amari, M. Kumon, 1984 .

Deep Learning in Random Neural Fields: Numerical Experiments via Neural Tangent Kernel

S. Amari, Ryo Karakida, Sho Sonoda, 2022, Neural Networks.

Learning Complex Representations from Spatial Phase Statistics of Natural Scenes

Hamid Soltanian-Zadeh, Shun-ichi Amari, HaDi MaBouDi, 2017, bioRxiv.

Analysis of Sparse Representation and Blind Source Separation

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

Heaviside World: Excitation and Self-Organization of Neural Fields

Shun-ichi Amari, S. Amari, 2014 .

Dreaming of mathematical neuroscience for half a century

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

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

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

Mathematical methods of neurocomputing

Shun-Ichi Amari, S. Amari, 1993 .

Neural mechanisms of information processing in the brain

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

Chapter XIV A Mathematical Theory of Self-Organizing Nerve Systems

Shun-ichi Amari, S. Amari, 1982 .

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

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

/spl alpha/-parallel prior and its properties

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

Information backpropagation for blind separation of sources in nonlinear mixture

H. H. Yang, A. Cichocki, H. H. Yang, 1997, Proceedings of International Conference on Neural Networks (ICNN'97).

Nonnegative Matrix and Tensor Factorization T

Andrzej Cichocki, Anh Huy Phan, Rafal Zdunek, 2007 .

State-Space Analysis of Time-Varying Higher-Order Spike Correlation for Multiple Neural Spike Train Data

Emery N. Brown, Sonja Grün, Shun-ichi Amari, 2012, PLoS Comput. Biol..

Dynamics of Learning in MLP: Natural Gradient and Singularity Revisited

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

Dynamics of Learning In Hierarchical Models – Singularity and Milnor Attractor

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

Dynamics of Learning in Multilayer Perceptrons Near Singularities

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

Eigenvalue Analysis on Singularity in RBF networks

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

Difficulty of Singularity in Population Coding

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

Geometric Approach to Multilayer Perceptrons

Shun-ichi Amari, Hyeyoung Park, Tomoko Ozeki, 2005 .

Geometry of Learning in Multilayer Perceptrons

Shun-ichi Amari, Hyeyoung Park, Tomoko Ozeki, 2004 .

Learning and inference in hierarchical models with singularities

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

On Conformal Divergences and Their Population Minimizers

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

Discrimination with Spike Times and ISI Distributions

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

The AIC Criterion and Symmetrizing the Kullback–Leibler Divergence

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

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.

Divergence, Optimization and Geometry

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

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..

Sequential Extraction of Minor Components

Shun-ichi Amari, Tianping Chen, Noboru Murata, 2001, 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).

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

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

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

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

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.

Self-adaptive blind source separation based on activation functions adaptation

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

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

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

Equivariant Nonstationary Source Separation

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

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

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

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

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

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).

On gradient adaptation with unit-norm constraints

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

Dynamic behavior of the robust decorrelation process

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

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).

Bias removal technique for blind source separation with noisy measurements

Andrzej Cichocki, Scott C. Douglas, S. Amari, 1998 .

A stochastic natural gradient descent algorithm for blind signal separation

H. H. Yang, S. Amari, S. Amari, 1996, Neural Networks for Signal Processing VI. Proceedings of the 1996 IEEE Signal Processing Society Workshop.

Two Gradient Descent Algorithms for Blind Signal Separation

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

Modeling Memory Transfer and Saving in Cerebellar Motor Learning

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

Interpolating between Optimal Transport and MMD using Sinkhorn Divergences

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

CONFORMAL GEOMETRY OF ESCORT PROBABILITY AND ITS APPLICATIONS

Shun-ichi Amari, Hiroshi Matsuzoe, Atsumi Ohara, 2012 .

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

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

Independent Component Analysis in Multimedia Modeling

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

Blind source separation with convolutive noise cancellation

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

Self-whitening algorithms for adaptive equalization and deconvolution

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

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).

Blind signal extraction using self-adaptive nonlinear Hebbian learning rule

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

Neural population representation hypothesis of visual flow and its illusory after effect in the brain: psychophysics, neurophysiology and computational approaches

S. Amari, H. Saito, E. Hida, 2012, Cognitive Neurodynamics.

Combining Classifiers and Learning Mixture-of-Experts

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

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

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

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.

Computational Neuroscience: Mathematical and Statistical Perspectives.

Sonja Grün, Tomoki Fukai, Eric Shea-Brown, 2018, Annual review of statistics and its application.

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.

Global Convergence Rate of Recurrently Connected Neural Networks

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

Stability of asymmetric Hopfield networks

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

H1.1 Mathematical theories of neural networks

Shun-ichi Amari, S. Amari, 1997 .

Mathematical foundations of neurocomputing

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

The Amygdaloid Kindling Phenomenon: A Tentative Model

S. Amari, I. Lieblich, 1977 .

Unified framework for information integration based on information geometry

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

Information-Geometric Measure for Neural Spikes

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

A Performance Measure for Classification with Ambiguous Data

Thomas P. Trappenberg, Andrew D. Back, Shun-Ichi Amari, 1999 .

Information Geometry and Its Applications: Survey

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

Modeling Basal Ganglia for Understanding Parkinsonian Reaching Movements

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

Unified framework for the entropy production and the stochastic interaction based on information geometry

S. Amari, Masafumi Oizumi, Sosuke Ito, 2018 .

Parameter estimation with multiterminal data compression

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

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.

Conditional Mixture Model for Correlated Neuronal Spikes

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

Sequential Blind Signal Extraction

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

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

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

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.

Comparison of single spike train descriptive models by information geometric measure

Shun-ichi Amari, Barry J. Richmond, Hiroyuki Nakahara, 2005 .

VARIANTS OF THE KULLBACK-LEIBLER DIVERGENCE AND THEIR ROLE IN MODEL SELECTION

S. Amari, A. Seghouane, 2006 .

Neuroscience data and tool sharing

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

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

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

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

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

Extended SMART Algorithms for Non-negative Matrix Factorization

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

Convergence of the Wake-Sleep Algorithm

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

New Developments of Theory of Neural Networks

Shunichi Amari, S. Amari, 1994 .

The EM algorithm and information geometry in neural networks

S. Amari, S. Amari, 1995 .

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.

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.

Unbiased Estimator of Shape Parameter for Spiking Irregularities under Changing Environments

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

Semiparametric Approach to Multichannel Blind Deconvolution of Nonminimum Phase Systems

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

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

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

The Normalization Method for Alleviating Pathological Sharpness in Wide Neural Networks

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

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

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

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

S. Amari, Soo-Young Lee, H. Song, 2012, Cognitive Neurodynamics.

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.

Information-Geometrical Significance of Sparsity in Gallager Codes

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

Dual cascade networks for blind signal extraction

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

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

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

Adaptive Blind Signal and Image Processing - Learning Algorithms and Applications

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

Fisher information for spike-based population decoding.

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

Sequential Bayesian Decoding with a Population of Neurons

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

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.

Statistical Neurodynamics of Deep Networks: Geometry of Signal Spaces pdf

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

Fisher Information and Natural Gradient Learning of Random Deep Networks

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

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.

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

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

Equivalence of hidden Markov models

Shun-ichi Amari, S. Amari, Hisashi Ito, 1991 .

Measuring Integrated Information from the Decoding Perspective

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

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.

Statistical Inference Under Multiterminal Data Compression

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

Mathematical theory of neural learning

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

On a Theory of Precise Neural Control in a Noisy System

David Waxman, Wenlian Lu, Jianfeng Feng, 2013 .

Dynamics and Computation of Continuous Attractors

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

Information Geometry of Wasserstein Statistics on Shapes and Affine Deformations

S. Amari, T. Matsuda, 2023, 2307.12508.

Underdetermined blind source separation based on sparse representation

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

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

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

Any Target Function Exists in a Neighborhood of Any Sufficiently Wide Random Network: A Geometrical Perspective

S. Amari, 2020, Neural Computation.

Total Bregman Divergence and Its Applications to DTI Analysis

Frank Nielsen, Shun-ichi Amari, Baba C. Vemuri, 2011, IEEE Transactions on Medical Imaging.

Brain-like Computing and Intelligent Information Systems

Nikola Kasabov, Shun-Ichi Amari, S. Amari, 1998 .

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

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

Information geometry

S. Amari, 2021, Japanese Journal of Mathematics.

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

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

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

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

Total Bregman Divergence and Its Applications to DTI Analysis

S. Amari, B. Vemuri, F. Nielsen, 2011 .

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

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

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.

Geometrical Theory on Estimation of Structural Parameter in the Presence of Infinitely Many Nuisance Parameters

S. Amari, M. Kumon, 1983 .

Nonnegative Matrix and Tensor Factorizations - Applications to Exploratory Multi-way Data Analysis and Blind Source Separation

S. Amari, A. Cichocki, R. Zdunek, 2009 .

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

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

Field theory of self-organizing neural nets

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

Information Geometry for Regularized Optimal Transport and Barycenters of Patterns

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

Computing with Continuous Attractors: Stability and Online Aspects

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

Information processing in a neuron ensemble with the multiplicative correlation structure

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

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

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

Attention Modulation of Neural Tuning Through Peak and Base Rate

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

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.

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

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

State-Space Analysis of Time-Varying Higher-Order Spike Correlation for Multiple Neural Spike Train Data

S. Amari, S. Grün, E. Brown, 2012, PLoS Comput. Biol..

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.

Measure of Correlation Orthogonal to Change in Firing Rate

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

Information Geometry as Applied to Neural Spike Data

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

Signal Processing and Optimization

Shun-ichi Amari, S. Amari, 2016 .

Lp-Regularized Least Squares (0

S. Amari, M. Yukawa, 2013, ArXiv.

On Extensions of LARS by Information Geometry : Convex Objectives and ' p -Norm

Shun-ichi Amari, Masahiro Yukawa, S. Amari, 2011 .

$\ell _{p}$

-Regularized Least Squares

$(0

and Critical Path

S. Amari, M. Yukawa, 2016, IEEE Transactions on Information Theory.

C. R. Rao's century

D. Rubin, S. Amari, B. Efron, 2020, Significance.

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

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

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).

Quasi‐Newton Algorithms for Nonnegative Matrix Factorization

S. Amari, A. Cichocki, R. Zdunek, 2009 .

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

S. Amari, A. Cichocki, Jianting Cao, 2003, IEEE Trans. Neural Networks.

Equivariant nonstationary source separation

S. Amari, A. Cichocki, Seungjin Choi, 2002, Neural Networks.

Minkovskian Gradient for Sparse Optimization

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

Information Geometry of Wasserstein Statistics on Shapes and Affine Deformations

S. Amari, T. Matsuda, 2023, 2307.12508.

Characteristics of Random Nets of Analog Neuron-Like Elements

S. Amari, Shun-Ichi Amarimber, 1972, IEEE Trans. Syst. Man Cybern..

Dualistic theory of non-Riemannian material manifolds

S. Amari, 1981 .

On the Dual Yielding and Related Problems

S. Amari, S. Minagawa, 1968 .

Population Decoding Based on an Unfaithful Model

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

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).

Adaptive blind signal and image processing

S. Amari, A. Cichocki, 2002 .

Postnonlinear Overcomplete Blind Source Separation Using Sparse Sources

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

Multichannel blind deconvolution of non-minimum phase systems using information backpropagation

Andrzej Cichocki, Liqing Zhang, S. Amari, 1999, ICONIP'99. ANZIIS'99 & ANNES'99 & ACNN'99. 6th International Conference on Neural Information Processing. Proceedings (Cat. No.99EX378).

On Some Extensions Of The Natural Gradient Algorithm

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

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

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

Principal/Minor Component Analysis and Related Problems

S. Amari, A. Cichocki, 2002 .