Shun-ichi Amari

ORCID

Publication Activity (10 Years)

Years Active: 1967-2023
Publications (10 Years): 30

Top Venues

Publications

Kaito Watanabe, Kotaro Sakamoto, Ryo Karakida, Sho Sonoda, Shun-ichi Amari
Deep learning in random neural fields: Numerical experiments via neural tangent kernel. Neural Networks 160 (2023)
Kaito Watanabe, Kotaro Sakamoto, Ryo Karakida, Sho Sonoda, Shun-ichi Amari
Deep Learning in Random Neural Fields: Numerical Experiments via Neural Tangent Kernel. CoRR (2022)
Shun-ichi Amari, Takeru Matsuda
Wasserstein Statistics in One-Dimensional Location-Scale Models. GSI (2021)
Shun-ichi Amari, Jimmy Ba, Roger Baker Grosse, Xuechen Li, Atsushi Nitanda, Taiji Suzuki, Denny Wu, Ji Xu
When does preconditioning help or hurt generalization? ICLR (2021)
Ryo Karakida, Shotaro Akaho, Shun-ichi Amari
Pathological Spectra of the Fisher Information Metric and Its Variants in Deep Neural Networks. Neural Comput. 33 (8) (2021)
Shun-ichi Amari, Jimmy Ba, Roger B. Grosse, Xuechen Li, Atsushi Nitanda, Taiji Suzuki, Denny Wu, Ji Xu
When Does Preconditioning Help or Hurt Generalization? CoRR (2020)
Shun-ichi Amari
Any Target Function Exists in a Neighborhood of Any Sufficiently Wide Random Network: A Geometrical Perspective. Neural Comput. 32 (8) (2020)
Shun-ichi Amari
Any Target Function Exists in a Neighborhood of Any Sufficiently Wide Random Network: A Geometrical Perspective. CoRR (2020)
Ryo Karakida, Shotaro Akaho, Shun-ichi Amari
Pathological spectra of the Fisher information metric and its variants in deep neural networks. CoRR (2019)
Ryo Karakida, Shotaro Akaho, Shun-ichi Amari
The Normalization Method for Alleviating Pathological Sharpness in Wide Neural Networks. NeurIPS (2019)
Ryo Karakida, Shotaro Akaho, Shun-ichi Amari
Universal Statistics of Fisher Information in Deep Neural Networks: Mean Field Approach. AISTATS (2019)
Ryo Karakida, Shotaro Akaho, Shun-ichi Amari
The Normalization Method for Alleviating Pathological Sharpness in Wide Neural Networks. CoRR (2019)
Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi, Marco Cuturi
Information Geometry for Regularized Optimal Transport and Barycenters of Patterns. Neural Comput. 31 (5) (2019)
Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi
Fisher Information and Natural Gradient Learning in Random Deep Networks. AISTATS (2019)
Jean Feydy, Thibault Séjourné, François-Xavier Vialard, Shun-ichi Amari, Alain Trouvé, Gabriel Peyré
Interpolating between Optimal Transport and MMD using Sinkhorn Divergences. AISTATS (2019)
Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi
Fisher Information and Natural Gradient Learning of Random Deep Networks. CoRR (2018)
Ryo Karakida, Shotaro Akaho, Shun-ichi Amari
Universal Statistics of Fisher Information in Deep Neural Networks: Mean Field Approach. CoRR (2018)
Shun-ichi Amari, Tomoko Ozeki, Ryo Karakida, Yuki Yoshida, Masato Okada
Dynamics of Learning in MLP: Natural Gradient and Singularity Revisited. Neural Comput. 30 (1) (2018)
Lei Zhang, Zhang Yi, Shun-ichi Amari
Theoretical Study of Oscillator Neurons in Recurrent Neural Networks. IEEE Trans. Neural Networks Learn. Syst. 29 (11) (2018)
Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi
Statistical Neurodynamics of Deep Networks: Geometry of Signal Spaces. CoRR (2018)
Ryo Karakida, Shun-ichi Amari
Information Geometry of Wasserstein Divergence. GSI (2017)
Shun-ichi Amari, Naotsugu Tsuchiya, Masafumi Oizumi
Geometry of Information Integration. CoRR (2017)
Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi
Information Geometry Connecting Wasserstein Distance and Kullback-Leibler Divergence via the Entropy-Relaxed Transportation Problem. CoRR (2017)
Masahiro Yukawa, Shun-ichi Amari
-Regularized Least Squares (0<p<1) and Critical Path. IEEE Trans. Inf. Theory 62 (1) (2016)
Masafumi Oizumi, Shun-ichi Amari, Toru Yanagawa, Naotaka Fujii, Naotsugu Tsuchiya
Measuring Integrated Information from the Decoding Perspective. PLoS Comput. Biol. 12 (1) (2016)
Richard Nock, Frank Nielsen, Shun-ichi Amari
On Conformal Divergences and Their Population Minimizers. IEEE Trans. Inf. Theory 62 (1) (2016)
Ryo Karakida, Masato Okada, Shun-ichi Amari
Maximum likelihood learning of RBMs with Gaussian visible units on the Stiefel manifold. ESANN (2016)
Ryo Karakida, Masato Okada, Shun-ichi Amari
Adaptive Natural Gradient Learning Algorithms for Unnormalized Statistical Models. ICANN (1) (2016)
Ryo Karakida, Masato Okada, Shun-ichi Amari
Dynamical analysis of contrastive divergence learning: Restricted Boltzmann machines with Gaussian visible units. Neural Networks 79 (2016)
Qibin Zhao, Guoxu Zhou, Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari
Bayesian Robust Tensor Factorization for Incomplete Multiway Data. IEEE Trans. Neural Networks Learn. Syst. 27 (4) (2016)
Andrzej Cichocki, Sergio Cruces, Shun-ichi Amari
Log-Determinant Divergences Revisited: Alpha-Beta and Gamma Log-Det Divergences. Entropy 17 (5) (2015)
Nihat Ay, Shun-ichi Amari
A Novel Approach to Canonical Divergences within Information Geometry. Entropy 17 (12) (2015)
C. C. Alan Fung, Shun-ichi Amari
Spontaneous Motion on Two-Dimensional Continuous Attractors. Neural Comput. 27 (3) (2015)
Shun-ichi Amari, Nihat Ay
Standard Divergence in Manifold of Dual Affine Connections. GSI (2015)
Masafumi Oizumi, Shun-ichi Amari, Toru Yanagawa, Naotaka Fujii, Naotsugu Tsuchiya
Measuring integrated information from the decoding perspective. CoRR (2015)
John Armstrong, Shun-ichi Amari
The Pontryagin Forms of Hessian Manifolds. GSI (2015)
Masafumi Oizumi, Naotsugu Tsuchiya, Shun-ichi Amari
A unified framework for information integration based on information geometry. CoRR (2015)
Andrzej Cichocki, Sergio Cruces, Shun-ichi Amari
Log-Determinant Divergences Revisited: Alpha-Beta and Gamma Log-Det Divergences. CoRR (2014)
Shun-ichi Amari
Information Geometry of Positive Measures and Positive-Definite Matrices: Decomposable Dually Flat Structure. Entropy 16 (4) (2014)
Qibin Zhao, Guoxu Zhou, Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari
Robust Bayesian Tensor Factorization for Incomplete Multiway Data. CoRR (2014)
Kwangjin Jeong, Masahiro Yukawa, Shun-ichi Amari
-Regularization (0<p<1) Reach the Sparsest Least Squares Solutions? IEEE Trans. Inf. Theory 60 (5) (2014)
Frank Nielsen, Richard Nock, Shun-ichi Amari
-Means by Using Mixed α-Divergences. Entropy 16 (6) (2014)
Yuanqing Li, Zhuliang Yu, Ning Bi, Yong Xu, Zhenghui Gu, Shun-ichi Amari
Sparse Representation for Brain Signal Processing: A tutorial on methods and applications. IEEE Signal Process. Mag. 31 (3) (2014)
Shun-ichi Amari
Information Geometry and Its Applications: Survey. GSI (2013)
Shun-ichi Amari
Dreaming of mathematical neuroscience for half a century. Neural Networks 37 (2013)
Shun-ichi Amari, Masahiro Yukawa
Minkovskian Gradient for Sparse Optimization. IEEE J. Sel. Top. Signal Process. 7 (4) (2013)
Masahiro Yukawa, Shun-ichi Amari
Lp-Regularized Least Squares (0<p<1) and Critical Path CoRR (2013)
Richard Nock, Frank Nielsen, Shun-ichi Amari
On conformal divergences and their population minimizers. CoRR (2013)
Meizhu Liu, Baba C. Vemuri, Shun-ichi Amari, Frank Nielsen
Shape Retrieval Using Hierarchical Total Bregman Soft Clustering. IEEE Trans. Pattern Anal. Mach. Intell. 34 (12) (2012)
Hideaki Shimazaki, Shun-ichi Amari, Emery N. Brown, Sonja Grün
State-Space Analysis of Time-Varying Higher-Order Spike Correlation for Multiple Neural Spike Train Data. PLoS Comput. Biol. 8 (3) (2012)
Kukjin Kang, Shun-ichi Amari
Self-Consistent Learning of the Environment. Neural Comput. 24 (12) (2012)
Masahiro Yukawa, Shun-ichi Amari
ℓp-constrained least squares (0 < p < 1) and its critical path. ISIT (2012)
Abd-Krim Seghouane, Shun-ichi Amari
Identification of Directed Influence: Granger Causality, Kullback-Leibler Divergence, and Complexity. Neural Comput. 24 (7) (2012)
Shun-ichi Amari
On Optimal Data Compression in Multiterminal Statistical Inference. IEEE Trans. Inf. Theory 57 (9) (2011)
K. N. Magdoom, Deepak Subramanian, V. Srinivasa Chakravarthy, Balaraman Ravindran, Shun-ichi Amari, N. Meenakshisundaram
Modeling Basal Ganglia for Understanding Parkinsonian Reaching Movements. Neural Comput. 23 (2) (2011)
Baba C. Vemuri, Meizhu Liu, Shun-ichi Amari, Frank Nielsen
Total Bregman Divergence and Its Applications to DTI Analysis. IEEE Trans. Medical Imaging 30 (2) (2011)
Shun-ichi Amari, Atsumi Ohara
-Exponential Family of Probability Distributions. Entropy 13 (6) (2011)
Masafumi Oizumi, Masato Okada, Shun-ichi Amari
Information Loss Associated with Imperfect Observation and Mismatched Decoding. Frontiers Comput. Neurosci. 5 (2011)
Yao Lu, Yuzuru Sato, Shun-ichi Amari
Traveling Bumps and Their Collisions in a Two-Dimensional Neural Field. Neural Comput. 23 (5) (2011)
Andrzej Cichocki, Sergio Cruces, Shun-ichi Amari
Generalized Alpha-Beta Divergences and Their Application to Robust Nonnegative Matrix Factorization. Entropy 13 (1) (2011)
Shun-ichi Amari
Data compression in multiterminal statistical inference - linear-threshold encoding. ISIT (2011)
Yuanqing Li, Shun-ichi Amari
Two conditions for equivalence of 0-norm solution and 1-norm solution in sparse representation. IEEE Trans. Neural Networks 21 (7) (2010)
Meizhu Liu, Baba C. Vemuri, Shun-ichi Amari, Frank Nielsen
Total Bregman divergence and its applications to shape retrieval. CVPR (2010)
Shun-ichi Amari
Computations Inspired from the Brain. UC (2010)
Shun-ichi Amari
Conditional Mixture Model for Correlated Neuronal Spikes. Neural Comput. 22 (7) (2010)
Andrzej Cichocki, Shun-ichi Amari
Families of Alpha- Beta- and Gamma- Divergences: Flexible and Robust Measures of Similarities. Entropy 12 (6) (2010)
Atsumi Ohara, Hiroshi Matsuzoe, Shun-ichi Amari
Dually flat structure with escort probability and its application to alpha-Voronoi diagrams CoRR (2010)
Shun-ichi Amari
Measure of Correlation Orthogonal to Change in Firing Rate. Neural Comput. 21 (4) (2009)
Shun-ichi Amari
alpha-divergence is unique, belonging to both f-divergence and Bregman divergence classes. IEEE Trans. Inf. Theory 55 (11) (2009)
Si Wu, Shun-ichi Amari
On the condition for fast neural computation. CDC (2009)
Masami Tatsuno, Jean-Marc Fellous, Shun-ichi Amari
Information-Geometric Measures as Robust Estimators of Connection Strengths and External Inputs. Neural Comput. 21 (8) (2009)
Hideaki Shimazaki, Shun-ichi Amari, Emery N. Brown, Sonja Grün
State-space analysis on time-varying correlations in parallel spike sequences. ICASSP (2009)
Shun-ichi Amari
Divergence, Optimization and Geometry. ICONIP (1) (2009)
Dami Kim, Soo-Young Lee, Shun-ichi Amari
Representative and Discriminant Feature Extraction Based on NMF for Emotion Recognition in Speech. ICONIP (1) (2009)
Haikun Wei, Jun Zhang, Florent Cousseau, Tomoko Ozeki, Shun-ichi Amari
Dynamics of Learning Near Singularities in Layered Networks. Neural Comput. 20 (3) (2008)
Si Wu, Kosuke Hamaguchi, Shun-ichi Amari
Dynamics and Computation of Continuous Attractors. Neural Comput. 20 (4) (2008)
Haikun Wei, Shun-ichi Amari
Dynamics of learning near singularities in radial basis function networks. Neural Networks 21 (7) (2008)
Florent Cousseau, Tomoko Ozeki, Shun-ichi Amari
Dynamics of Learning in Multilayer Perceptrons Near Singularities. IEEE Trans. Neural Networks 19 (8) (2008)
Kukjin Kang, Shun-ichi Amari
Discrimination with Spike Times and ISI Distributions. Neural Comput. 20 (6) (2008)
Yuanqing Li, Andrzej Cichocki, Shun-ichi Amari, Shengli Xie, Cuntai Guan
Equivalence Probability and Sparsity of Two Sparse Solutions in Sparse Representation. IEEE Trans. Neural Networks 19 (12) (2008)
Shun-ichi Amari
Information Geometry and Its Applications: Convex Function and Dually Flat Manifold. ETVC (2008)
Andrzej Cichocki, Rafal Zdunek, Shun-ichi Amari
Nonnegative Matrix and Tensor Factorization [Lecture Notes]. IEEE Signal Process. Mag. 25 (1) (2008)
Naoki Masuda, Shun-ichi Amari
A computational study of synaptic mechanisms of partial memory transfer in cerebellar vestibulo-ocular-reflex learning. J. Comput. Neurosci. 24 (2) (2008)
Andrzej Cichocki, Rafal Zdunek, Seungjin Choi, Robert J. Plemmons, Shun-ichi Amari
Non-Negative Tensor Factorization using Alpha and Beta Divergences. ICASSP (3) (2007)
Abd-Krim Seghouane, Shun-ichi Amari
The AIC Criterion and Symmetrizing the Kullback-Leibler Divergence. IEEE Trans. Neural Networks 18 (1) (2007)
Haikun Wei, Shun-ichi Amari
Eigenvalue Analysis on Singularity in RBF networks. IJCNN (2007)
Andrzej Cichocki, Marko Jankovic, Rafal Zdunek, Shun-ichi Amari
Sparse Super Symmetric Tensor Factorization. ICONIP (1) (2007)
Andrzej Cichocki, Rafal Zdunek, Shun-ichi Amari
Hierarchical ALS Algorithms for Nonnegative Matrix and 3D Tensor Factorization. ICA (2007)
Si Wu, Kosuke Hamaguchi, Shun-ichi Amari
The Tracking Speed of Continuous Attractors. ISNN (1) (2007)
Shun-ichi Amari
-Divergence. Neural Comput. 19 (10) (2007)
Andrzej Cichocki, Rafal Zdunek, Seungjin Choi, Robert J. Plemmons, Shun-ichi Amari
Novel Multi-layer Non-negative Tensor Factorization with Sparsity Constraints. ICANNGA (2) (2007)
Nikhil R. Pal, Kripamoy Aguan, Animesh Sharma, Shun-ichi Amari
Discovering biomarkers from gene expression data for predicting cancer subgroups using neural networks and relational fuzzy clustering. BMC Bioinform. 8 (2007)
Shun-ichi Amari, Hiroyuki Nakahara
Correlation and Independence in the Neural Code. Neural Comput. 18 (6) (2006)
Yuanqing Li, Shun-ichi Amari, Andrzej Cichocki, Daniel W. C. Ho, Shengli Xie
Underdetermined blind source separation based on sparse representation. IEEE Trans. Signal Process. 54 (2) (2006)
Yuanqing Li, Andrzej Cichocki, Shun-ichi Amari, Cuntai Guan
Analysis of Source Sparsity and Recoverability for SCA Based Blind Source Separation. ICA (2006)
Hiroyuki Nakahara, Shun-ichi Amari, Barry J. Richmond
A Comparison of Descriptive Models of a Single Spike Train by Information-Geometric Measure. Neural Comput. 18 (3) (2006)
Jinwen Ma, Dengpan Gao, Fei Ge, Shun-ichi Amari
A One-Bit-Matching Learning Algorithm for Independent Component Analysis. ICA (2006)
Wakako Nakamura, Kimitaka Anami, Takeyuki Mori, Osamu Saitoh, Andrzej Cichocki, Shun-ichi Amari
Removal of ballistocardiogram artifacts from simultaneously recorded EEG and fMRI data using independent component analysis. IEEE Trans. Biomed. Eng. 53 (7) (2006)
Yuanqing Li, Shun-ichi Amari, Andrzej Cichocki, Cuntai Guan
Probability Estimation for Recoverability Analysis of Blind Source Separation Based on Sparse Representation. IEEE Trans. Inf. Theory 52 (7) (2006)
Andrzej Cichocki, Rafal Zdunek, Shun-ichi Amari
Csiszár's Divergences for Non-negative Matrix Factorization: Family of New Algorithms. ICA (2006)

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Publication Activity (10 Years)

Top Topics

Top Venues

Shun-ichi Amari