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List of works by Shun'ichi Amari

A New Learning Algorithm for Blind Signal Separation ⬇️

scientific article published in January 1996

A comparison of descriptive models of a single spike train by information-geometric measure

scientific article published in March 2006

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

scientific article published on 7 July 2007

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

scientific article

Adaptive On-line Learning in Changing Environments ⬇️

scientific article published in January 1997

Analysis of Source Sparsity and Recoverability for SCA Based Blind Source Separation

Analysis of Sparse Representation and Blind Source Separation

scientific article published on 01 June 2004

Bayesian Robust Tensor Factorization for Incomplete Multiway Data ⬇️

scientific article

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

scientific article published in March 2006

Computing with continuous attractors: stability and online aspects

scientific article published in October 2005

Conditional mixture model for correlated neuronal spikes

scientific article published in July 2010

Convergence of the Wake-Sleep Algorithm ⬇️

Correlation and independence in the neural code

scientific article published on June 2006

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

scientific article published in January 2003

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

Difficulty of singularity in population coding

scientific article published in April 2005

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

scientific article

Discrimination with Spike Times and ISI Distributions

scientific article published in June 2008

Dreaming of mathematical neuroscience for half a century

scientific article published on 3 October 2012

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

scientific article

Dynamics and computation of continuous attractors

scientific article published in April 2008

Dynamics of Learning in MLP: Natural Gradient and Singularity Revisited

scientific article published on 24 October 2017

Dynamics of learning in multilayer perceptrons near singularities

scientific article published in August 2008

Dynamics of learning near singularities in radial basis function networks

scientific article

Equivalence probability and sparsity of two sparse solutions in sparse representation

scientific article published in December 2008

Extended SMART Algorithms for Non-negative Matrix Factorization

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

Fisher information for spike-based population decoding.

scientific article published on 30 August 2006

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

scientific article published in July 2004

Gene interaction in DNA microarray data is decomposed by information geometric measure

scientific article

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

Geometrical Singularities in the Neuromanifold of Multilayer Perceptrons ⬇️

Global convergence rate of recurrently connected neural networks

scientific article published on 01 December 2002

Global exponential stability of multitime scale competitive neural networks with nonsmooth functions

scientific article published in September 2006

Identification of directed influence: Granger causality, Kullback-Leibler divergence, and complexity

scientific article published on 19 March 2012

Improved parameter estimation for variance-stabilizing transformation of gene-expression microarray data

scientific article

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

Information Geometrical Framework for Analyzing Belief Propagation Decoder ⬇️

Information geometry for turbo decoding

Information loss associated with imperfect observation and mismatched decoding

scientific article published on 2 March 2011

Information processing in a neuron ensemble with the multiplicative correlation structure

scientific article published on 01 March 2004

Information-Geometric Decomposition in Spike Analysis ⬇️

scientific article published in January 2002

Information-Geometrical Significance of Sparsity in Gallager Codes ⬇️

Information-geometric measure for neural spikes

scientific article published in October 2002

Integration of stochastic models by minimizing alpha-divergence

scientific article published on 01 October 2007

Learning Curves, Model Selection and Complexity of Neural Networks ⬇️

scientific article published in January 1993

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

Measure of correlation orthogonal to change in firing rate

scientific article published in April 2009

Measuring Integrated Information from the Decoding Perspective ⬇️

scientific article published on 21 January 2016

Microscopic instability in recurrent neural networks ⬇️

scientific article published on 23 March 2015

Modeling Basal Ganglia for Understanding Parkinsonian Reaching Movements ⬇️

scientific article published on November 24, 2010

Modeling Memory Transfer and Saving in Cerebellar Motor Learning ⬇️

scientific article published in January 2006

Natural Gradient Descent for On-Line Learning

scientific article published in Physical Review Letters

Natural Gradient Works Efficiently in Learning

scientific article published in February 1998

Neural Implementation of Bayesian Inference in Population Codes ⬇️

Neural Learning in Structured Parameter Spaces - Natural Riemannian Gradient ⬇️

scientific article published in January 1997

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

scientific article published on 13 January 2012

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

scientific article published on December 2002

Neuroscience data and tool sharing: a legal and policy framework for neuroinformatics

scientific article

Non-Negative Tensor Factorization using Alpha and Beta Divergences

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

scientific article

Population Decoding Based on an Unfaithful Model ⬇️

Population coding and decoding in a neural field: a computational study

scientific article (publication date: May 2002)

Preface

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

scientific article

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

scientific article published on 13 August 2015

Response

scientific article published on 01 March 1999

Self-adaptive blind source separation based on activation functions adaptation.

scientific article published in March 2004

Self-consistent learning of the environment

scientific article published on 12 September 2012

Semiparametric Approach to Multichannel Blind Deconvolution of Nonminimum Phase Systems ⬇️

Sequential Bayesian decoding with a population of neurons

scientific article published in May 2003

Shape retrieval using hierarchical total Bregman soft clustering

scientific article published on December 2012

Singularities affect dynamics of learning in neuromanifolds

scientific article published in May 2006

Sparse Representation and Its Applications in Blind Source Separation ⬇️

scientific article published in January 2004

Sparse Super Symmetric Tensor Factorization

Stability Analysis of Learning Algorithms for Blind Source Separation

scientific article published in November 1997

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

scientific article published on 21 February 2013

State-space analysis of time-varying higher-order spike correlation for multiple neural spike train data

scientific article (publication date: 2012)

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

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

scientific article published in January 1996

Stochastic reasoning, free energy, and information geometry.

scientific article published in September 2004

Synchronous firing and higher-order interactions in neuron pool

scientific article published in January 2003

The AIC criterion and symmetrizing the Kullback-Leibler divergence

scientific article published in January 2007

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

scientific article published in January 2003

The Efficiency and the Robustness of Natural Gradient Descent Learning Rule ⬇️

scientific article published in January 1998

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

The Normalization Method for Alleviating Pathological Sharpness in Wide Neural Networks ⬇️

Total Bregman Divergence and its Applications to Shape Retrieval

scientific article published on January 2010

Total Bregman divergence and its applications to DTI analysis

scientific article

Traveling bumps and their collisions in a two-dimensional neural field.

scientific article published on 7 February 2011

Two conditions for equivalence of 0-norm solution and 1-norm solution in sparse representation

scientific article

Unbiased Estimator of Shape Parameter for Spiking Irregularities under Changing Environments ⬇️

scientific article published in January 2006

Unified framework for information integration based on information geometry ⬇️

scientific article published on 06 December 2016

[Bioinformatics from the point of view of neuroscience]

scientific article published on 01 June 2004

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