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ORCIDShun-ichi Amari
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- affiliation: RIKEN CBS, Wako-shi, Japan
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2020 – today
- 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)- 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) - 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) - [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 - 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) - [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)
2010 – 2019
- 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) - [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 - [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
- [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) - [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
- [c86]Ryo Karakida, Shun-ichi Amari:
Information Geometry of Wasserstein Divergence. GSI 2017: 119-126 - [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) - 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) - [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
- [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) - [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 - [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
- [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) - [r2]Shun-ichi Amari:
Information Geometry as Applied to Neural Spike Data. Encyclopedia of Computational Neuroscience 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
- [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) - [c81]Shun-ichi Amari:
Information Geometry and Its Applications: Survey. GSI 2013: 3 - [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) - 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) - [c80]Masahiro Yukawa, Shun-ichi Amari:
ℓp-constrained least squares (0 < p < 1) and its critical path. ISIT 2012: 2221-2225 - 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) - [c79]Shun-ichi Amari:
Data compression in multiterminal statistical inference - linear-threshold encoding. ISIT 2011: 1126-1130 - 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) - [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 - [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)
2000 – 2009
- 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 - [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) - [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 - [r1]Lei Xu, Shun-ichi Amari:
Combining Classifiers and Learning Mixture-of-Experts. Encyclopedia of Artificial Intelligence 2009: 318-326 - 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) - [c72]Shun-ichi Amari:
Information Geometry and Its Applications: Convex Function and Dually Flat Manifold. ETVC 2008: 75-102 - 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) - [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
- [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) - [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
- [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]