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Shun-ichi Amari
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- affiliation: RIKEN CBS, Wako-shi, Japan
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Books and Theses
- 2009
- [b2]Andrzej Cichocki, Rafal Zdunek, Anh Huy Phan, Shun-ichi Amari:
Nonnegative Matrix and Tensor Factorizations - Applications to Exploratory Multi-way Data Analysis and Blind Source Separation. Wiley 2009, ISBN 978-0-470-74666-0 - 2002
- [b1]Andrzej Cichocki, Shun-ichi Amari:
Adaptive Blind Signal and Image Processing - Learning Algorithms and Applications. Wiley 2002, ISBN 978-0-471-60791-5, pp. I-XXXI, 1-554
Journal Articles
- 2023
- [j172]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: 148-163 (2023) - 2021
- [j171]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): 2274-2307 (2021) - 2020
- [j170]Shun-ichi Amari:
Any Target Function Exists in a Neighborhood of Any Sufficiently Wide Random Network: A Geometrical Perspective. Neural Comput. 32(8): 1431-1447 (2020) - 2019
- [j169]Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi, Marco Cuturi:
Information Geometry for Regularized Optimal Transport and Barycenters of Patterns. Neural Comput. 31(5): 827-848 (2019) - 2018
- [j168]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) - [j167]Lei Zhang, Zhang Yi, Shun-ichi Amari:
Theoretical Study of Oscillator Neurons in Recurrent Neural Networks. IEEE Trans. Neural Networks Learn. Syst. 29(11): 5242-5248 (2018) - 2016
- [j166]Ryo Karakida, Masato Okada, Shun-ichi Amari:
Dynamical analysis of contrastive divergence learning: Restricted Boltzmann machines with Gaussian visible units. Neural Networks 79: 78-87 (2016) - [j165]Masafumi Oizumi, Shun-ichi Amari, Toru Yanagawa, Naotaka Fujii, Naotsugu Tsuchiya:
Measuring Integrated Information from the Decoding Perspective. PLoS Comput. Biol. 12(1) (2016) - [j164]Masahiro Yukawa, Shun-ichi Amari:
ℓp-Regularized Least Squares (0<p<1) and Critical Path. IEEE Trans. Inf. Theory 62(1): 488-502 (2016) - [j163]Richard Nock, Frank Nielsen, Shun-ichi Amari:
On Conformal Divergences and Their Population Minimizers. IEEE Trans. Inf. Theory 62(1): 527-538 (2016) - [j162]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): 736-748 (2016) - 2015
- [j161]Andrzej Cichocki, Sergio Cruces, Shun-ichi Amari:
Log-Determinant Divergences Revisited: Alpha-Beta and Gamma Log-Det Divergences. Entropy 17(5): 2988-3034 (2015) - [j160]Nihat Ay, Shun-ichi Amari:
A Novel Approach to Canonical Divergences within Information Geometry. Entropy 17(12): 8111-8129 (2015) - [j159]C. C. Alan Fung, Shun-ichi Amari:
Spontaneous Motion on Two-Dimensional Continuous Attractors. Neural Comput. 27(3): 507-547 (2015) - 2014
- [j158]Shun-ichi Amari:
Information Geometry of Positive Measures and Positive-Definite Matrices: Decomposable Dually Flat Structure. Entropy 16(4): 2131-2145 (2014) - [j157]Frank Nielsen, Richard Nock, Shun-ichi Amari:
On Clustering Histograms with k-Means by Using Mixed α-Divergences. Entropy 16(6): 3273-3301 (2014) - [j156]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): 96-106 (2014) - [j155]Kwangjin Jeong, Masahiro Yukawa, Shun-ichi Amari:
Can Critical-Point Paths Under ℓp-Regularization (0<p<1) Reach the Sparsest Least Squares Solutions? IEEE Trans. Inf. Theory 60(5): 2960-2968 (2014) - 2013
- [j154]Shun-ichi Amari, Masahiro Yukawa:
Minkovskian Gradient for Sparse Optimization. IEEE J. Sel. Top. Signal Process. 7(4): 576-585 (2013) - [j153]Shun-ichi Amari:
Dreaming of mathematical neuroscience for half a century. Neural Networks 37: 48-51 (2013) - 2012
- [j152]Abd-Krim Seghouane, Shun-ichi Amari:
Identification of Directed Influence: Granger Causality, Kullback-Leibler Divergence, and Complexity. Neural Comput. 24(7): 1722-1739 (2012) - [j151]Kukjin Kang, Shun-ichi Amari:
Self-Consistent Learning of the Environment. Neural Comput. 24(12): 3191-3212 (2012) - [j150]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): 2407-2419 (2012) - [j149]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) - 2011
- [j148]Andrzej Cichocki, Sergio Cruces, Shun-ichi Amari:
Generalized Alpha-Beta Divergences and Their Application to Robust Nonnegative Matrix Factorization. Entropy 13(1): 134-170 (2011) - [j147]Shun-ichi Amari, Atsumi Ohara:
Geometry of q-Exponential Family of Probability Distributions. Entropy 13(6): 1170-1185 (2011) - [j146]Masafumi Oizumi, Masato Okada, Shun-ichi Amari:
Information Loss Associated with Imperfect Observation and Mismatched Decoding. Frontiers Comput. Neurosci. 5: 9 (2011) - [j145]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): 477-516 (2011) - [j144]Yao Lu, Yuzuru Sato, Shun-ichi Amari:
Traveling Bumps and Their Collisions in a Two-Dimensional Neural Field. Neural Comput. 23(5): 1248-1260 (2011) - [j143]Shun-ichi Amari:
On Optimal Data Compression in Multiterminal Statistical Inference. IEEE Trans. Inf. Theory 57(9): 5577-5587 (2011) - [j142]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): 475-483 (2011) - 2010
- [j141]Andrzej Cichocki, Shun-ichi Amari:
Families of Alpha- Beta- and Gamma- Divergences: Flexible and Robust Measures of Similarities. Entropy 12(6): 1532-1568 (2010) - [j140]Shun-ichi Amari:
Conditional Mixture Model for Correlated Neuronal Spikes. Neural Comput. 22(7): 1718-1736 (2010) - [j139]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): 1189-1196 (2010) - 2009
- [j138]Shun-ichi Amari:
Measure of Correlation Orthogonal to Change in Firing Rate. Neural Comput. 21(4): 960-972 (2009) - [j137]Masami Tatsuno, Jean-Marc Fellous, Shun-ichi Amari:
Information-Geometric Measures as Robust Estimators of Connection Strengths and External Inputs. Neural Comput. 21(8): 2309-2335 (2009) - [j136]Shun-ichi Amari:
alpha-divergence is unique, belonging to both f-divergence and Bregman divergence classes. IEEE Trans. Inf. Theory 55(11): 4925-4931 (2009) - 2008
- [j135]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): 137-156 (2008) - [j134]Haikun Wei, Jun Zhang, Florent Cousseau, Tomoko Ozeki, Shun-ichi Amari:
Dynamics of Learning Near Singularities in Layered Networks. Neural Comput. 20(3): 813-843 (2008) - [j133]Si Wu, Kosuke Hamaguchi, Shun-ichi Amari:
Dynamics and Computation of Continuous Attractors. Neural Comput. 20(4): 994-1025 (2008) - [j132]Kukjin Kang, Shun-ichi Amari:
Discrimination with Spike Times and ISI Distributions. Neural Comput. 20(6): 1411-1426 (2008) - [j131]Haikun Wei, Shun-ichi Amari:
Dynamics of learning near singularities in radial basis function networks. Neural Networks 21(7): 989-1005 (2008) - [j130]Andrzej Cichocki, Rafal Zdunek, Shun-ichi Amari:
Nonnegative Matrix and Tensor Factorization [Lecture Notes]. IEEE Signal Process. Mag. 25(1): 142-145 (2008) - [j129]Florent Cousseau, Tomoko Ozeki, Shun-ichi Amari:
Dynamics of Learning in Multilayer Perceptrons Near Singularities. IEEE Trans. Neural Networks 19(8): 1313-1328 (2008) - [j128]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): 2009-2021 (2008) - 2007
- [j127]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) - [j126]Shun-ichi Amari:
Integration of Stochastic Models by Minimizing alpha-Divergence. Neural Comput. 19(10): 2780-2796 (2007) - [j125]Abd-Krim Seghouane, Shun-ichi Amari:
The AIC Criterion and Symmetrizing the Kullback-Leibler Divergence. IEEE Trans. Neural Networks 18(1): 97-106 (2007) - 2006
- [j124]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): 545-568 (2006) - [j123]Shun-ichi Amari, Hyeyoung Park, Tomoko Ozeki:
Singularities Affect Dynamics of Learning in Neuromanifolds. Neural Comput. 18(5): 1007-1065 (2006) - [j122]Shun-ichi Amari, Hiroyuki Nakahara:
Correlation and Independence in the Neural Code. Neural Comput. 18(6): 1259-1267 (2006) - [j121]Keiji Miura, Masato Okada, Shun-ichi Amari:
Estimating Spiking Irregularities Under Changing Environments. Neural Comput. 18(10): 2359-2386 (2006) - [j120]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): 1294-1308 (2006) - [j119]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): 3139-3152 (2006) - [j118]Yuanqing Li, Andrzej Cichocki, Shun-ichi Amari:
Blind estimation of channel parameters and source components for EEG signals: a sparse factorization approach. IEEE Trans. Neural Networks 17(2): 419-431 (2006) - [j117]Hongtao Lu, Shun-ichi Amari:
Global Exponential Stability of Multitime Scale Competitive Neural Networks With Nonsmooth Functions. IEEE Trans. Neural Networks 17(5): 1152-1164 (2006) - [j116]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): 423-437 (2006) - 2005
- [j115]Simone G. O. Fiori, Shun-ichi Amari:
Geometrical methods in neural networks and learning. Neurocomputing 67: 1-7 (2005) - [j114]Shun-ichi Amari, Hiroyuki Nakahara:
Difficulty of Singularity in Population Coding. Neural Comput. 17(4): 839-858 (2005) - [j113]Si Wu, Shun-ichi Amari:
Computing with Continuous Attractors: Stability and Online Aspects. Neural Comput. 17(10): 2215-2239 (2005) - [j112]Shun-ichi Amari:
Part 1: Tutorial Series on Brain-Inspired Computing. New Gener. Comput. 23(4): 357-359 (2005) - [j111]Shiro Ikeda, Toshiyuki Tanaka, Shun-ichi Amari:
Information geometry for turbo decoding. Syst. Comput. Jpn. 36(1): 79-87 (2005) - [j110]Jun'ichi Takeuchi, Shun-ichi Amari:
α-parallel prior and its properties. IEEE Trans. Inf. Theory 51(3): 1011-1023 (2005) - 2004
- [j109]Masato Inoue, Shin-ichi Nishimura, Gen Hori, Hiroyuki Nakahara, Michiko Saito, Yoshihiro Yoshihara, Shun-ichi Amari:
Improved Parameter Estimation for Variance-stabilizing Transformation of Gene-expression Microarray Data. J. Bioinform. Comput. Biol. 2(4): 669-680 (2004) - [j108]Hyeyoung Park, Noboru Murata, Shun-ichi Amari:
Improving Generalization Performance of Natural Gradient Learning Using Optimized Regularization by NIC. Neural Comput. 16(2): 355-382 (2004) - [j107]Yuanqing Li, Andrzej Cichocki, Shun-ichi Amari:
Analysis of Sparse Representation and Blind Source Separation. Neural Comput. 16(6): 1193-1234 (2004) - [j106]Shiro Ikeda, Toshiyuki Tanaka, Shun-ichi Amari:
Stochastic Reasoning, Free Energy, and Information Geometry. Neural Comput. 16(9): 1779-1810 (2004) - [j105]Si Wu, Shun-ichi Amari, Hiroyuki Nakahara:
Information processing in a neuron ensemble with the multiplicative correlation structure. Neural Networks 17(2): 205-214 (2004) - [j104]Shiro Ikeda, Toshiyuki Tanaka, Shun-ichi Amari:
Information Geometry of Turbo and Low-Density Parity-Check Codes. IEEE Trans. Inf. Theory 50(6): 1097-1114 (2004) - [j103]Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari:
Self-adaptive blind source separation based on activation functions adaptation. IEEE Trans. Neural Networks 15(2): 233-244 (2004) - [j102]Sergio Antonio Cruces-Alvarez, Andrzej Cichocki, Shun-ichi Amari:
From blind signal extraction to blind instantaneous signal separation: criteria, algorithms, and stability. IEEE Trans. Neural Networks 15(4): 859-873 (2004) - [j101]Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari:
Multichannel blind deconvolution of nonminimum-phase systems using filter decomposition. IEEE Trans. Signal Process. 52(5): 1430-1442 (2004) - [j100]Scott C. Douglas, Shun-ichi Amari, Sun-Yuan Kung:
Gradient Adaptive Paraunitary Filter Banks for Spatio-Temporal Subspace Analysis and Multichannel Blind Deconvolution. J. VLSI Signal Process. 37(2-3): 247-261 (2004) - 2003
- [j99]Hiroyuki Nakahara, Shin-ichi Nishimura, Masato Inoue, Gen Hori, Shun-ichi Amari:
Gene Interaction in DNA Microarray Data Is Decomposed by Information Geometric Measure. Bioinform. 19(9): 1124-113 (2003) - [j98]Seungjin Choi, Andrzej Cichocki, Liqing Zhang, Shun-ichi Amari:
Approximate Maximum Likelihood Source Separation Using the Natural Gradient. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 86-A(1): 198-205 (2003) - [j97]Te-Won Lee, Jean-François Cardoso, Erkki Oja, Shun-ichi Amari:
Introduction to Special Issue on Independent Components Analysis. J. Mach. Learn. Res. 4: 1175-1176 (2003) - [j96]Shun-ichi Amari, Hiroyuki Nakahara, Si Wu, Yutaka Sakai:
Synchronous Firing and Higher-Order Interactions in Neuron Pool. Neural Comput. 15(1): 127-142 (2003) - [j95]Si Wu, Danmei Chen, Mahesan Niranjan, Shun-ichi Amari:
Sequential Bayesian Decoding with a Population of Neurons. Neural Comput. 15(5): 993-1012 (2003) - [j94]Sumio Watanabe, Shun-ichi Amari:
Learning Coefficients of Layered Models When the True Distribution Mismatches the Singularities. Neural Comput. 15(5): 1013-1033 (2003) - [j93]Peter Eckersley, Gary F. Egan, Erik De Schutter, Yiyuan Tang, Mirko Novak, Václav Sebesta, Line Matthiessen, Iiro P. Jääskeläinen, Ulla Ruotsalainen, Andreas V. M. Herz, K. Peter Hoffmann, Raphael Ritz, Viji Ravindranath, Francesco Beltrame, Shun-ichi Amari, Shiro Usui, Soo-Young Lee, Jaap van Pelt, Jan G. Bjaalie, Andrzej Wróbel, Fernando Mira da Silva, Carmen González, Sten Grillner, Paul F. M. J. Verschure, Turgay Dalkara, Robert Bennett, David Willshaw, Stephen H. Koslow, Perry L. Miller, Shankar Subramaniam, Arthur W. Toga:
Neuroscience data and tool sharing - A legal and policy framework for neuroinformatics. Neuroinformatics 1(2): 149-165 (2003) - [j92]Shun-ichi Amari, Michael A. Arbib, Rolf Kötter:
Neuroinformatics - Introduction. Neural Networks 16(9): 1235-1236 (2003) - [j91]Shun-ichi Amari, Marat V. Burnashev:
On Some Singularities in Parameter Estimation Problems. Probl. Inf. Transm. 39(4): 352-372 (2003) - [j90]Shun-ichi Amari, Tomoko Ozeki, Hyeyoung Park:
Learning and inference in hierarchical models with singularities. Syst. Comput. Jpn. 34(7): 34-42 (2003) - [j89]Jianting Cao, Noboru Murata, Shun-ichi Amari, Andrzej Cichocki, Tsunehiro Takeda:
A robust approach to independent component analysis of signals with high-level noise measurements. IEEE Trans. Neural Networks 14(3): 631-645 (2003) - 2002
- [j88]Shun-ichi Amari:
Independent Component Analysis (ICA) and Method of Estimating Functions. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 85-A(3): 540-547 (2002) - [j87]Si Wu, Shun-ichi Amari, Hiroyuki Nakahara:
Asymptotic behaviors of population codes. Neurocomputing 44-46: 697-702 (2002) - [j86]Shun-ichi Amari, Aapo Hyvärinen, Soo-Young Lee, Te-Won Lee, V. David Sánchez A.:
Blind signal separation and independent component analysis. Neurocomputing 49(1-4): 1-5 (2002) - [j85]Jianting Cao, Noboru Murata, Shun-ichi Amari, Andrzej Cichocki, Tsunehiro Takeda:
Independent component analysis for unaveraged single-trial MEG data decomposition and single-dipole source localization. Neurocomputing 49(1-4): 255-277 (2002) - [j84]Hiroyuki Nakahara, Shun-ichi Amari, Okihide Hikosaka:
Self-Organization in the Basal Ganglia with Modulation of Reinforcement Signals. Neural Comput. 14(4): 819-844 (2002) - [j83]Si Wu, Shun-ichi Amari, Hiroyuki Nakahara:
Population Coding and Decoding in a Neural Field: A Computational Study. Neural Comput. 14(5): 999-1026 (2002) - [j82]Hiroyuki Nakahara, Shun-ichi Amari:
Information-Geometric Measure for Neural Spikes. Neural Comput. 14(10): 2269-2316 (2002) - [j81]Tianping Chen, Wenlian Lu, Shun-ichi Amari:
Global Convergence Rate of Recurrently Connected Neural Networks. Neural Comput. 14(12): 2947-2957 (2002) - [j80]Hiroyuki Nakahara, Shun-ichi Amari:
Attention modulation of neural tuning through peak and base rate in correlated firing. Neural Networks 15(1): 41-55 (2002) - [j79]Seungjin Choi, Andrzej Cichocki, Shun-ichi Amari:
Equivariant nonstationary source separation. Neural Networks 15(1): 121-130 (2002) - [j78]Noboru Murata, Motoaki Kawanabe, Andreas Ziehe, Klaus-Robert Müller, Shun-ichi Amari:
On-line learning in changing environments with applications in supervised and unsupervised learning. Neural Networks 15(4-6): 743-760 (2002) - [j77]Si Wu, Shun-ichi Amari:
Conformal Transformation of Kernel Functions A Data Dependent Way to Improve Support Vector Machine Classifiers. Neural Process. Lett. 15(1): 59-67 (2002) - [j76]Marat V. Burnashev, Shun-ichi Amari:
On Density Estimation under Relative Entropy Loss Criterion. Probl. Inf. Transm. 38(4): 323-346 (2002) - [j75]Sergio Antonio Cruces-Alvarez, Andrzej Cichocki, Shun-ichi Amari:
On a new blind signal extraction algorithm: different criteria and stability analysis. IEEE Signal Process. Lett. 9(8): 233-236 (2002) - 2001
- [j74]Tianping Chen, Shun-ichi Amari:
Exponential Convergence of Delayed Dynamical Systems. Neural Comput. 13(3): 621-635 (2001) - [j73]Si Wu, Hiroyuki Nakahara, Shun-ichi Amari:
Population Coding with Correlation and an Unfaithful Model. Neural Comput. 13(4): 775-797 (2001) - [j72]Hiroyuki Nakahara, Si Wu, Shun-ichi Amari:
Attention Modulation of Neural Tuning Through Peak and Base Rate. Neural Comput. 13(9): 2031-2047 (2001) - [j71]Tianping Chen, Shun-ichi Amari:
New theorems on global convergence of some dynamical systems. Neural Networks 14(3): 251-255 (2001) - [j70]Tianping Chen, Shun-ichi Amari:
Unified stabilization approach to principal and minor components extraction algorithms. Neural Networks 14(10): 1377-1387 (2001) - [j69]Tianping Chen, Shun-ichi Amari, Noboru Murata:
Sequential Extraction of Minor Components. Neural Process. Lett. 13(3): 195-201 (2001) - [j68]Liqing Zhang, Shun-ichi Amari, Andrzej Cichocki:
Semiparametric model and superefficiency in blind deconvolution. Signal Process. 81(12): 2535-2553 (2001) - [j67]Shun-ichi Amari:
Information geometry on hierarchy of probability distributions. IEEE Trans. Inf. Theory 47(5): 1701-1711 (2001) - [j66]Tianping Chen, Shun-ichi Amari:
Stability of asymmetric Hopfield networks. IEEE Trans. Neural Networks 12(1): 159-163 (2001) - 2000
- [j65]Tianping Chen, Shun-ichi Amari:
Dynamic behavior of the robust decorrelation process. Neurocomputing 30(1-4): 143-151 (2000) - [j64]Jun'ichi Takeuchi, Naoki Abe, Shun-ichi Amari:
The Lob-Pass Problem. J. Comput. Syst. Sci. 61(3): 523-557 (2000) - [j63]Shun-ichi Amari, Hyeyoung Park, Kenji Fukumizu:
Adaptive Method of Realizing Natural Gradient Learning for Multilayer Perceptrons. Neural Comput. 12(6): 1399-1409 (2000) - [j62]Shun-ichi Amari, Tianping Chen, Andrzej Cichocki:
Nonholonomic Orthogonal Learning Algorithms for Blind Source Separation. Neural Comput. 12(6): 1463-1484 (2000) - [j61]Shun-ichi Amari:
Estimating Functions of Independent Component Analysis for Temporally Correlated Signals. Neural Comput. 12(9): 2083-2107 (2000) - [j60]Kenji Fukumizu, Shun-ichi Amari:
Local minima and plateaus in hierarchical structures of multilayer perceptrons. Neural Networks 13(3): 317-327 (2000) - [j59]Désiré Bollé, David Renato C. Dominguez-Carreta, Shun-ichi Amari:
Mutual information of sparsely coded associative memory with self-control and ternary neurons. Neural Networks 13(4-5): 455-462 (2000) - [j58]Hyeyoung Park, Shun-ichi Amari, Kenji Fukumizu:
Adaptive natural gradient learning algorithms for various stochastic models. Neural Networks 13(7): 755-764 (2000) - [j57]José C. Príncipe, Sergio Cerutti, Shun-ichi Amari:
Special topic section on advances in statistical signal processing for medicine. IEEE Trans. Biomed. Eng. 47(5): 565-566 (2000) - [j56]Scott C. Douglas, Shun-ichi Amari, Sun-Yuan Kung:
On gradient adaptation with unit-norm constraints. IEEE Trans. Signal Process. 48(6): 1843-1847 (2000) - [j55]Seungjin Choi, Andrzej Cichocki, Shun-ichi Amari:
Flexible Independent Component Analysis. J. VLSI Signal Process. 26(1-2): 25-38 (2000) - 1999
- [j54]Jayanta Basak, Shun-ichi Amari:
Blind Separation of a Mixture of Uniformly Distributed Source Signals: A Novel Approach. Neural Comput. 11(4): 1011-1034 (1999) - [j53]Shun-ichi Amari:
Natural Gradient Learning for Over- and Under-Complete Bases in ICA. Neural Comput. 11(8): 1875-1883 (1999) - [j52]Tianping Chen, Shun-ichi Amari:
Response. Neural Networks 12(2): 395- (1999) - [j51]Shun-ichi Amari, Si Wu:
Improving support vector machine classifiers by modifying kernel functions. Neural Networks 12(6): 783-789 (1999) - [j50]Noboru Murata, Shun-ichi Amari:
Statistical analysis of learning dynamics. Signal Process. 74(1): 3-28 (1999) - [j49]Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari:
Natural gradient algorithm for blind separation of overdetermined mixture with additive noise. IEEE Signal Process. Lett. 6(11): 293-295 (1999) - [j48]Jayanta Basak, Shun-ichi Amari:
Blind separation of uniformly distributed signals: a general approach. IEEE Trans. Neural Networks 10(5): 1173-1185 (1999) - [j47]Shun-ichi Amari:
Superefficiency in blind source separation. IEEE Trans. Signal Process. 47(4): 936-944 (1999) - [j46]Scott C. Douglas, Andrzej Cichocki, Shun-ichi Amari:
Self-whitening algorithms for adaptive equalization and deconvolution. IEEE Trans. Signal Process. 47(4): 1161-1165 (1999) - 1998
- [j45]K. Hiraoka, Shun-ichi Amari:
Strategy Under the Unknown Stochastic Environment: The Nonparametric Lob-Pass Problem. Algorithmica 22(1/2): 138-156 (1998) - [j44]Lei Xu, Chi Chiu Cheung, Shun-ichi Amari:
Learned parametric mixture based ICA algorithm. Neurocomputing 22(1-3): 69-80 (1998) - [j43]Andrzej Cichocki, Scott C. Douglas, Shun-ichi Amari:
Robust techniques for independent component analysis (ICA) with noisy data. Neurocomputing 22(1-3): 113-129 (1998) - [j42]Shun-ichi Amari:
Natural Gradient Works Efficiently in Learning. Neural Comput. 10(2): 251-276 (1998) - [j41]Howard Hua Yang, Shun-ichi Amari:
Complexity Issues in Natural Gradient Descent Method for Training Multi-Layer Perceptrons. Neural Comput. 10(8): 2137-2157 (1998) - [j40]Tianping Chen, Shun-ichi Amari, Qin Lin:
A unified algorithm for principal and minor components extraction. Neural Networks 11(3): 385-390 (1998) - [j39]Shun-ichi Amari, Andrzej Cichocki:
Adaptive blind signal processing-neural network approaches. Proc. IEEE 86(9): 2026-2048 (1998) - [j38]Howard Hua Yang, Shun-ichi Amari, Andrzej Cichocki:
Information-theoretic approach to blind separation of sources in non-linear mixture. Signal Process. 64(3): 291-300 (1998) - [j37]Scott C. Douglas, Sun-Yuan Kung, Shun-ichi Amari:
A self-stabilized minor subspace rule. IEEE Signal Process. Lett. 5(12): 328-330 (1998) - [j36]Te Sun Han, Shun-ichi Amari:
Statistical Inference Under Multiterminal Data Compression. IEEE Trans. Inf. Theory 44(6): 2300-2324 (1998) - [j35]Mark A. Girolami, Andrzej Cichocki, Shun-ichi Amari:
A common neural-network model for unsupervised exploratory data analysis and independent component analysis. IEEE Trans. Neural Networks 9(6): 1495-1501 (1998) - 1997
- [j34]Wlodzimierz Kasprzak, Andrzej Cichocki, Shun-ichi Amari:
Blind Source Separation with Convolutive Noise Cancellation. Neural Comput. Appl. 6(3): 127-141 (1997) - [j33]Howard Hua Yang, Shun-ichi Amari:
Adaptive On-line Learning Algorithms for Blind Separation-Maximization Entropy and Minimum Mutual Information. Neural Comput. 9(7): 1457-1482 (1997) - [j32]Shun-ichi Amari, Tianping Chen, Andrzej Cichocki:
Stability Analysis of Learning Algorithms for Blind Source Separation. Neural Networks 10(8): 1345-1351 (1997) - [j31]Shun-ichi Amari, Noboru Murata, Klaus-Robert Müller, Michael Finke, Howard Hua Yang:
Asymptotic statistical theory of overtraining and cross-validation. IEEE Trans. Neural Networks 8(5): 985-996 (1997) - [j30]Shun-ichi Amari, Jean-François Cardoso:
Blind source separation-semiparametric statistical approach. IEEE Trans. Signal Process. 45(11): 2692-2700 (1997) - 1996
- [j29]Klaus-Robert Müller, Michael Finke, Noboru Murata, Klaus Schulten, Shun-ichi Amari:
A Numerical Study on Learning Curves in Stochastic Multilayer Feedforward Networks. Neural Comput. 8(5): 1085-1106 (1996) - [j28]Hiro-Fumi Yanai, Shun-ichi Amari:
Auto-associative memory with two-stage dynamics of nonmonotonic neurons. IEEE Trans. Neural Networks 7(4): 803-815 (1996) - 1995
- [j27]Shun-ichi Amari:
The EM Algorithm and Information Geometry in Neural Network Learning. Neural Comput. 7(1): 13-18 (1995) - [j26]Shun-ichi Amari:
Information geometry of the EM and em algorithms for neural networks. Neural Networks 8(9): 1379-1408 (1995) - [j25]Te Sun Han, Shun-ichi Amari:
Parameter estimation with multiterminal data compression. IEEE Trans. Inf. Theory 41(6): 1802-1833 (1995) - 1994
- [j24]Atsumi Ohara, Shun-ichi Amari:
Differential geometric structures of stable state feedback systems with dual connections. Kybernetika 30(4): 369-386 (1994) - [j23]Motoaki Kawanabe, Shun-ichi Amari:
Estimation of Network Parameters in Semiparametric Stochastic Perceptron. Neural Comput. 6(6): 1244-1261 (1994) - [j22]Jian Zhuang, Shun-ichi Amari:
Piecewise-linear division of region by neural networks with maximum detectors. Syst. Comput. Jpn. 25(6): 73-79 (1994) - [j21]Noboru Murata, Shuji Yoshizawa, Shun-ichi Amari:
Network information criterion-determining the number of hidden units for an artificial neural network model. IEEE Trans. Neural Networks 5(6): 865-872 (1994) - 1993
- [j20]Shun-ichi Amari:
Backpropagation and stochastic gradient descent method. Neurocomputing 5(3): 185-196 (1993) - [j19]Shun-ichi Amari, Noboru Murata:
Statistical Theory of Learning Curves under Entropic Loss Criterion. Neural Comput. 5(1): 140-153 (1993) - [j18]Shun-ichi Amari:
A universal theorem on learning curves. Neural Networks 6(2): 161-166 (1993) - [j17]Shuji Yoshizawa, Masahiko Morita, Shun-ichi Amari:
Capacity of associative memory using a nonmonotonic neuron model. Neural Networks 6(2): 167-176 (1993) - 1992
- [j16]Shun-ichi Amari, Naotake Fujita, Shigeru Shinomoto:
Four Types of Learning Curves. Neural Comput. 4(4): 605-618 (1992) - [j15]Shun-ichi Amari, Stephen Grossberg, John G. Taylor:
Editorial. Neural Networks 5(1): 1 (1992) - [j14]Hisashi Ito, Shun-ichi Amari, Kingo Kobayashi:
Identifiability of hidden Markov information sources and their minimum degrees of freedom. IEEE Trans. Inf. Theory 38(2): 324-333 (1992) - [j13]Shun-ichi Amari, Koji Kurata, Hiroshi Nagaoka:
Information geometry of Boltzmann machines. IEEE Trans. Neural Networks 3(2): 260-271 (1992) - 1991
- [j12]Shun-ichi Amari:
Mathematical Theory of Neural Learning. New Gener. Comput. 8(4): 281-294 (1991) - [j11]Shun-ichi Amari:
Dualistic geometry of the manifold of higher-order neurons. Neural Networks 4(4): 443-451 (1991) - 1990
- [j10]Shun-ichi Amari:
Mathematical foundations of neurocomputing. Proc. IEEE 78(9): 1443-1463 (1990) - 1989
- [j9]Shun-ichi Amari:
Characteristics of sparsely encoded associative memory. Neural Networks 2(6): 451-457 (1989) - [j8]Shun-ichi Amari, Te Sun Han:
Statistical inference under multiterminal rate restrictions: A differential geometric approach. IEEE Trans. Inf. Theory 35(2): 217-227 (1989) - 1988
- [j7]Shun-ichi Amari, Kenjiro Maginu:
Statistical neurodynamics of associative memory. Neural Networks 1(1): 63-73 (1988) - 1987
- [j6]Shun-ichi Amari:
Differential Geometry of a Parametric Family of Invertible Linear Systems - Riemannian Metric, Dual Affine Connections, and Divergence. Math. Syst. Theory 20(1): 53-82 (1987) - [j5]Shun-ichi Amari:
Neural mechanisms of information processing in the brain. Syst. Comput. Jpn. 18(7): 31-45 (1987) - 1983
- [j4]Shun-ichi Amari:
Field theory of self-organizing neural nets. IEEE Trans. Syst. Man Cybern. 13(5): 741-748 (1983) - 1972
- [j3]Shun-ichi Amari:
Learning Patterns and Pattern Sequences by Self-Organizing Nets of Threshold Elements. IEEE Trans. Computers 21(11): 1197-1206 (1972) - [j2]Shun-ichi Amari:
Characteristics of Random Nets of Analog Neuron-Like Elements. IEEE Trans. Syst. Man Cybern. 2(5): 643-657 (1972) - 1967
- [j1]Shun-ichi Amari:
A Theory of Adaptive Pattern Classifiers. IEEE Trans. Electron. Comput. 16(3): 299-307 (1967)
Conference and Workshop Papers
- 2021
- [c92]Shun-ichi Amari, Takeru Matsuda:
Wasserstein Statistics in One-Dimensional Location-Scale Models. GSI 2021: 499-506 - [c91]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 - 2019
- [c90]Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi:
Fisher Information and Natural Gradient Learning in Random Deep Networks. AISTATS 2019: 694-702 - [c89]Ryo Karakida, Shotaro Akaho, Shun-ichi Amari:
Universal Statistics of Fisher Information in Deep Neural Networks: Mean Field Approach. AISTATS 2019: 1032-1041 - [c88]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: 2681-2690 - [c87]Ryo Karakida, Shotaro Akaho, Shun-ichi Amari:
The Normalization Method for Alleviating Pathological Sharpness in Wide Neural Networks. NeurIPS 2019: 6403-6413 - 2017
- [c86]Ryo Karakida, Shun-ichi Amari:
Information Geometry of Wasserstein Divergence. GSI 2017: 119-126 - 2016
- [c85]Ryo Karakida, Masato Okada, Shun-ichi Amari:
Maximum likelihood learning of RBMs with Gaussian visible units on the Stiefel manifold. ESANN 2016 - [c84]Ryo Karakida, Masato Okada, Shun-ichi Amari:
Adaptive Natural Gradient Learning Algorithms for Unnormalized Statistical Models. ICANN (1) 2016: 427-434 - 2015
- [c83]John Armstrong, Shun-ichi Amari:
The Pontryagin Forms of Hessian Manifolds. GSI 2015: 240-247 - [c82]Shun-ichi Amari, Nihat Ay:
Standard Divergence in Manifold of Dual Affine Connections. GSI 2015: 320-325 - 2013
- [c81]Shun-ichi Amari:
Information Geometry and Its Applications: Survey. GSI 2013: 3 - 2012
- [c80]Masahiro Yukawa, Shun-ichi Amari:
ℓp-constrained least squares (0 < p < 1) and its critical path. ISIT 2012: 2221-2225 - 2011
- [c79]Shun-ichi Amari:
Data compression in multiterminal statistical inference - linear-threshold encoding. ISIT 2011: 1126-1130 - 2010
- [c78]Meizhu Liu, Baba C. Vemuri, Shun-ichi Amari, Frank Nielsen:
Total Bregman divergence and its applications to shape retrieval. CVPR 2010: 3463-3468 - [c77]Shun-ichi Amari:
Computations Inspired from the Brain. UC 2010: 1 - 2009
- [c76]Si Wu, Shun-ichi Amari:
On the condition for fast neural computation. CDC 2009: 4487-4492 - [c75]Hideaki Shimazaki, Shun-ichi Amari, Emery N. Brown, Sonja Grün:
State-space analysis on time-varying correlations in parallel spike sequences. ICASSP 2009: 3501-3504 - [c74]Shun-ichi Amari:
Divergence, Optimization and Geometry. ICONIP (1) 2009: 185-193 - [c73]Dami Kim, Soo-Young Lee, Shun-ichi Amari:
Representative and Discriminant Feature Extraction Based on NMF for Emotion Recognition in Speech. ICONIP (1) 2009: 649-656 - 2008
- [c72]Shun-ichi Amari:
Information Geometry and Its Applications: Convex Function and Dually Flat Manifold. ETVC 2008: 75-102 - 2007
- [c71]Andrzej Cichocki, Rafal Zdunek, Shun-ichi Amari:
Hierarchical ALS Algorithms for Nonnegative Matrix and 3D Tensor Factorization. ICA 2007: 169-176 - [c70]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: 271-280 - [c69]Andrzej Cichocki, Rafal Zdunek, Seungjin Choi, Robert J. Plemmons, Shun-ichi Amari:
Non-Negative Tensor Factorization using Alpha and Beta Divergences. ICASSP (3) 2007: 1393-1396 - [c68]Andrzej Cichocki, Marko Jankovic, Rafal Zdunek, Shun-ichi Amari:
Sparse Super Symmetric Tensor Factorization. ICONIP (1) 2007: 781-790 - [c67]Haikun Wei, Shun-ichi Amari:
Eigenvalue Analysis on Singularity in RBF networks. IJCNN 2007: 690-695 - [c66]Si Wu, Kosuke Hamaguchi, Shun-ichi Amari:
The Tracking Speed of Continuous Attractors. ISNN (1) 2007: 926-934 - 2006
- [c65]Andrzej Cichocki, Rafal Zdunek, Shun-ichi Amari:
Csiszár's Divergences for Non-negative Matrix Factorization: Family of New Algorithms. ICA 2006: 32-39 - [c64]Jinwen Ma, Dengpan Gao, Fei Ge, Shun-ichi Amari:
A One-Bit-Matching Learning Algorithm for Independent Component Analysis. ICA 2006: 173-180 - [c63]Yuanqing Li, Andrzej Cichocki, Shun-ichi Amari, Cuntai Guan:
Analysis of Source Sparsity and Recoverability for SCA Based Blind Source Separation. ICA 2006: 831-837 - [c62]Jinwen Ma, Zhe Chen, Shun-ichi Amari:
Analysis of Feasible Solutions of the ICA Problem Under the One-Bit-Matching Condition. ICA 2006: 838-845 - [c61]Andrzej Cichocki, Shun-ichi Amari, Rafal Zdunek, Raul Kompass, Gen Hori, Zhaoshui He:
Extended SMART Algorithms for Non-negative Matrix Factorization . ICAISC 2006: 548-562 - [c60]Andrzej Cichocki, Rafal Zdunek, Shun-ichi Amari:
New Algorithms for Non-Negative Matrix Factorization in Applications to Blind Source Separation. ICASSP (5) 2006: 621-624 - [c59]Haikun Wei, Shun-ichi Amari:
Online Learning Dynamics of Radial Basis Function Neural Networks near the Singularity. IJCNN 2006: 4770-4776 - [c58]Si Wu, Jianfeng Feng, Shun-ichi Amari:
The Ideal Noisy Environment for Fast Neural Computation. ISNN (1) 2006: 1-6 - 2005
- [c57]Shun-ichi Amari:
Population Coding, Bayesian Inference and Information Geometry. ISNN (1) 2005: 1-4 - [c56]Naoki Masuda, Shun-ichi Amari:
Modeling Memory Transfer and Saving in Cerebellar Motor Learning. NIPS 2005: 859-866 - [c55]Keiji Miura, Masato Okada, Shun-ichi Amari:
Unbiased Estimator of Shape Parameter for Spiking Irregularities under Changing Environments. NIPS 2005: 891-898 - 2004
- [c54]Fabian J. Theis, Shun-ichi Amari:
Postnonlinear Overcomplete Blind Source Separation Using Sparse Sources. ICA 2004: 718-725 - [c53]Andrzej Cichocki, Yuanqing Li, Pando G. Georgiev, Shun-ichi Amari:
Beyond ICA: robust sparse signal representations. ISCAS (5) 2004: 684-687 - 2003
- [c52]Michiko Yamana, Hiroyuki Nakahara, Massimiliano Pontil, Shun-ichi Amari:
On different ensembles of kernel machines. ESANN 2003: 197-201 - [c51]Yuanqing Li, Andrzej Cichocki, Shun-ichi Amari, Sergei L. Shishkin, Jianting Cao, Fanji Gu:
Sparse Representation and Its Applications in Blind Source Separation. NIPS 2003: 241-248 - 2002
- [c50]Shun-ichi Amari:
Information Geometry of Neural Learning and Belief Propagation. FSKD 2002: 4 - [c49]Shun-ichi Amari:
Information geometry of statistical inference - an overview. ITW 2002: 86-89 - [c48]Sumio Watanabe, Shun-ichi Amari:
The Effect of Singularities in a Learning Machine when the True Parameters Do Not Lie on such Singularities. NIPS 2002: 391-398 - [c47]Kenji Fukumizu, Shotaro Akaho, Shun-ichi Amari:
Critical Lines in Symmetry of Mixture Models and its Application to Component Splitting. NIPS 2002: 865-872 - 2001
- [c46]Shun-ichi Amari, Tomoko Ozeki, Hyeyoung Park:
Generalization Error and Training Error at Singularities of Multilayer Perceptrons. IWANN (1) 2001: 325-332 - [c45]Sergio Cruces, Andrzej Cichocki, Shun-ichi Amari:
The Minimum Entropy and Cumulants Based Contrast Functions for Blind Source Extraction. IWANN (2) 2001: 786-793 - [c44]Liqing Zhang, Shun-ichi Amari, Andrzej Cichocki:
Equi-convergence Algorithm for Blind Separation of Sources with Arbitrary Distributions. IWANN (2) 2001: 826-833 - [c43]Hiroyuki Nakahara, Shun-ichi Amari:
Information-Geometric Decomposition in Spike Analysis. NIPS 2001: 253-260 - [c42]Si Wu, Shun-ichi Amari:
Neural Implementation of Bayesian Inference in Population Codes. NIPS 2001: 317-323 - [c41]Shun-ichi Amari, Hyeyoung Park, Tomoko Ozeki:
Geometrical Singularities in the Neuromanifold of Multilayer Perceptrons. NIPS 2001: 343-350 - [c40]Shiro Ikeda, Toshiyuki Tanaka, Shun-ichi Amari:
Information Geometrical Framework for Analyzing Belief Propagation Decoder. NIPS 2001: 407-414 - [c39]Toshiyuki Tanaka, Shiro Ikeda, Shun-ichi Amari:
Information-Geometrical Significance of Sparsity in Gallager Codes. NIPS 2001: 527-534 - 2000
- [c38]Seungjin Choi, Andrzej Cichocki, Shun-ichi Amari:
Local stability analysis of flexible independent component analysis algorithm. ICASSP 2000: 3426-3429 - [c37]Masumi Ishikawa, Hirohito Shimada, Shun-ichi Amari:
Iterative Design of Regularizers Based on Data by Minimizing Generalization Errors. IJCNN (1) 2000: 3-8 - [c36]Si Wu, Danmei Chen, Shun-ichi Amari:
Unfaithful Population Decoding. IJCNN (2) 2000: 199-204 - [c35]Shun-ichi Amari:
Information Geometry of Neural Networks. PRICAI 2000: 2 - [c34]Hyeyoung Park, Kenji Fukumizu, Shun-ichi Amari, Yillbyung Lee:
An Efficient Learning Algorithm Using Naturla Gradient and Second Order Information of Error Surface. PRICAI 2000: 199-207 - 1999
- [c33]Seungjin Choi, Andrzej Cichocki, Shun-ichi Amari:
Two spatio-temporal decorrelation learning algorithms and their application to multichannel blind deconvolution. ICASSP 1999: 1085-1088 - [c32]Scott C. Douglas, Shun-ichi Amari, Sun-Yuan Kung:
Adaptive paraunitary filter banks for principal and minor subspace analysis. ICASSP 1999: 1089-1092 - [c31]Si Wu, Hiroyuki Nakahara, Noboru Murata, Shun-ichi Amari:
Population Decoding Based on an Unfaithful Model. NIPS 1999: 192-198 - [c30]Liqing Zhang, Shun-ichi Amari, Andrzej Cichocki:
Semiparametric Approach to Multichannel Blind Deconvolution of Nonminimum Phase Systems. NIPS 1999: 363-369 - 1998
- [c29]Shun-ichi Amari, Scott C. Douglas:
Why natural gradient? ICASSP 1998: 1213-1216 - [c28]Shun-ichi Amari:
Future Perspective of 'Creating Brain' Program. ICONIP 1998: 7 - [c27]Shun-ichi Amari:
Information Geometry of Neuro-Manifolds. ICONIP 1998: 591-593 - [c26]Shiro Ikeda, Shun-ichi Amari, Hiroyuki Nakahara:
Convergence of the Wake-Sleep Algorithm. NIPS 1998: 239-245 - 1997
- [c25]Lei Xu, Chi Chiu Cheung, Jiong Ruan, Shun-ichi Amari:
Nonlinearity and separation capability: further justification for the ICA algorithm with mixture of densities. ESANN 1997 - [c24]Howard Hua Yang, Shun-ichi Amari:
Blind equalization of switching channels by ICA and learning of learning rate. ICASSP 1997: 1849-1852 - [c23]Lei Xu, Chi Chiu Cheung, Howard Hua Yang, Shun-ichi Amari:
Independent component analysis by the information-theoretic approach with mixture of densities. ICNN 1997: 1821-1826 - [c22]Andrzej Cichocki, Ruck Thawonmas, Shun-ichi Amari:
Dual cascade networks for blind signal extraction. ICNN 1997: 2135-2140 - [c21]Howard Hua Yang, Shun-ichi Amari, Andrzej Cichocki:
Information backpropagation for blind separation of sources in nonlinear mixture. ICNN 1997: 2141-2146 - [c20]H. H. Yang, Shun-ichi Amari:
Training Multi-Layer Perceptrons by Natural Gradient Descent. ICONIP (1) 1997: 211-214 - [c19]S. Bos, Shun-ichi Amari:
Annealed On-Line Learning in a Nonlinear Neural Net. ICONIP (1) 1997: 318-321 - [c18]Shun-ichi Amari, Ta Chen, Andrzej Cichocki:
Non-Holonomic Constraints in Learning Blind Source Separation. ICONIP (1) 1997: 633-636 - [c17]Seungjin Choi, Andrzej Cichocki, Shun-ichi Amari:
Adaptive Blind Deconvolution and Equalization with Self-Adaptive Nonlinearities: An Information-theoretic Approach. ICONIP (1) 1997: 641-644 - [c16]Seungjin Choi, Shun-ichi Amari, Andrzej Cichocki:
Natural Gradient Learning Algorithms for Decorrelation. ICONIP (1) 1997: 645-648 - [c15]Shun-ichi Amari, Noboru Murata:
Statistical Analysis of Regularization Constant - From Bayes, MDL and NIC Points of View. IWANN 1997: 284-293 - [c14]Howard Hua Yang, Shun-ichi Amari:
The Efficiency and the Robustness of Natural Gradient Descent Learning Rule. NIPS 1997: 385-391 - 1996
- [c13]Andrzej Cichocki, Wlodzimierz Kasprzak, Shun-ichi Amari:
Neural network approach to blind separation and enhancement of images. EUSIPCO 1996: 1-4 - [c12]Howard Hua Yang, Shun-ichi Amari:
Two Gradient Descent Algorithms for Blind Signal Separation. ICANN 1996: 287-292 - [c11]Shun-ichi Amari:
Neural Learning in Structured Parameter Spaces - Natural Riemannian Gradient. NIPS 1996: 127-133 - [c10]Noboru Murata, Klaus-Robert Müller, Andreas Ziehe, Shun-ichi Amari:
Adaptive On-line Learning in Changing Environments. NIPS 1996: 599-605 - 1995
- [c9]Shun-ichi Amari:
Training Error, Generalization Error and Learning Curves in Neural Learning. ANNES 1995: 4-5 - [c8]Shun-ichi Amari, Noboru Murata, Klaus-Robert Müller, Michael Finke, Howard Hua Yang:
Statistical Theory of Overtraining - Is Cross-Validation Asymptotically Effective? NIPS 1995: 176-182 - [c7]Shun-ichi Amari, Andrzej Cichocki, Howard Hua Yang:
A New Learning Algorithm for Blind Signal Separation. NIPS 1995: 757-763 - 1993
- [c6]Hiro-Fumi Yanai, Shun-ichi Amari:
A theory on a neural net with nonmonotone neurons. ICNN 1993: 1385-1390 - 1992
- [c5]Noboru Murata, Shuji Yoshizawa, Shun-ichi Amari:
Learning Curves, Model Selection and Complexity of Neural Networks. NIPS 1992: 607-614 - 1990
- [c4]Shun-ichi Amari:
Mathematical Theory of Neural Learning. ALT 1990: 3-20 - [c3]Shotaro Akaho, Shun-ichi Amari:
On the capacity of three-layer networks. IJCNN 1990: 1-6 - 1988
- [c2]Shun-ichi Amari:
Statistical neurodynamics of various versions of correlation associative memory. ICNN 1988: 633-640 - 1979
- [c1]Shun-ichi Amari:
Theory of Self-Organizing Nerve Nets with Special Reference to Association and Concept Formation. IJCAI 1979: 13-15
Reference Works
- 2014
- [r2]Shun-ichi Amari:
Information Geometry as Applied to Neural Spike Data. Encyclopedia of Computational Neuroscience 2014 - 2009
- [r1]Lei Xu, Shun-ichi Amari:
Combining Classifiers and Learning Mixture-of-Experts. Encyclopedia of Artificial Intelligence 2009: 318-326
Informal and Other Publications
- 2022
- [i17]Kaito Watanabe, Kotaro Sakamoto, Ryo Karakida, Sho Sonoda, Shun-ichi Amari:
Deep Learning in Random Neural Fields: Numerical Experiments via Neural Tangent Kernel. CoRR abs/2202.05254 (2022) - 2020
- [i16]Shun-ichi Amari:
Any Target Function Exists in a Neighborhood of Any Sufficiently Wide Random Network: A Geometrical Perspective. CoRR abs/2001.06931 (2020) - [i15]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 abs/2006.10732 (2020) - 2019
- [i14]Ryo Karakida, Shotaro Akaho, Shun-ichi Amari:
The Normalization Method for Alleviating Pathological Sharpness in Wide Neural Networks. CoRR abs/1906.02926 (2019) - [i13]Ryo Karakida, Shotaro Akaho, Shun-ichi Amari:
Pathological spectra of the Fisher information metric and its variants in deep neural networks. CoRR abs/1910.05992 (2019) - 2018
- [i12]Ryo Karakida, Shotaro Akaho, Shun-ichi Amari:
Universal Statistics of Fisher Information in Deep Neural Networks: Mean Field Approach. CoRR abs/1806.01316 (2018) - [i11]Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi:
Statistical Neurodynamics of Deep Networks: Geometry of Signal Spaces. CoRR abs/1808.07169 (2018) - [i10]Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi:
Fisher Information and Natural Gradient Learning of Random Deep Networks. CoRR abs/1808.07172 (2018) - 2017
- [i9]Shun-ichi Amari, Naotsugu Tsuchiya, Masafumi Oizumi:
Geometry of Information Integration. CoRR abs/1709.02050 (2017) - [i8]Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi:
Information Geometry Connecting Wasserstein Distance and Kullback-Leibler Divergence via the Entropy-Relaxed Transportation Problem. CoRR abs/1709.10219 (2017) - 2015
- [i7]Masafumi Oizumi, Shun-ichi Amari, Toru Yanagawa, Naotaka Fujii, Naotsugu Tsuchiya:
Measuring integrated information from the decoding perspective. CoRR abs/1505.04368 (2015) - [i6]Masafumi Oizumi, Naotsugu Tsuchiya, Shun-ichi Amari:
A unified framework for information integration based on information geometry. CoRR abs/1510.04455 (2015) - 2014
- [i5]Qibin Zhao, Guoxu Zhou, Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari:
Robust Bayesian Tensor Factorization for Incomplete Multiway Data. CoRR abs/1410.2386 (2014) - [i4]Andrzej Cichocki, Sergio Cruces, Shun-ichi Amari:
Log-Determinant Divergences Revisited: Alpha-Beta and Gamma Log-Det Divergences. CoRR abs/1412.7146 (2014) - 2013
- [i3]Masahiro Yukawa, Shun-ichi Amari:
Lp-Regularized Least Squares (0<p<1) and Critical Path. CoRR abs/1304.6591 (2013) - [i2]Richard Nock, Frank Nielsen, Shun-ichi Amari:
On conformal divergences and their population minimizers. CoRR abs/1311.5125 (2013) - 2010
- [i1]Atsumi Ohara, Hiroshi Matsuzoe, Shun-ichi Amari:
Dually flat structure with escort probability and its application to alpha-Voronoi diagrams. CoRR abs/1010.4965 (2010)
Coauthor Index
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