Shun-ichi Amari - Publications


101 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Amari SI. Any Target Function Exists in a Neighborhood of Any Sufficiently Wide Random Network: A Geometrical Perspective. Neural Computation. 1-17. PMID 32521215 DOI: 10.1162/neco_a_01295  0.341
2020 Ito S, Oizumi M, Amari S. Unified framework for the entropy production and the stochastic interaction based on information geometry Physical Review Research. 2. DOI: 10.1103/Physrevresearch.2.033048  0.687
2019 Amari SI, Karakida R, Oizumi M, Cuturi M. Information Geometry for Regularized Optimal Transport and Barycenters of Patterns. Neural Computation. 1-22. PMID 30883281 DOI: 10.1162/Neco_A_01178  0.684
2019 Amari S, Karakida R, Oizumi M. Statistical neurodynamics of deep networks: geometry of signal spaces Nonlinear Theory and Its Applications, Ieice. 10: 322-336. DOI: 10.1587/Nolta.10.322  0.676
2019 Yoshida Y, Karakida R, Okada M, Amari S. Statistical mechanical analysis of learning dynamics of two-layer perceptron with multiple output units Journal of Physics a: Mathematical and Theoretical. 52: 184002. DOI: 10.1088/1751-8121/AB0669  0.436
2018 Kass RE, Amari SI, Arai K, Brown EN, Diekman CO, Diesmann M, Doiron B, Eden UT, Fairhall AL, Fiddyment GM, Fukai T, Grün S, Harrison MT, Helias M, Nakahara H, et al. Computational Neuroscience: Mathematical and Statistical Perspectives. Annual Review of Statistics and Its Application. 5: 183-214. PMID 30976604 DOI: 10.1146/annurev-statistics-041715-033733  0.669
2018 Zhang L, Yi Z, Amari SI. Theoretical Study of Oscillator Neurons in Recurrent Neural Networks. Ieee Transactions On Neural Networks and Learning Systems. PMID 29994374 DOI: 10.1109/TNNLS.2018.2793911  0.302
2018 Amari S, Karakida R, Oizumi M. Information geometry connecting Wasserstein distance and Kullback–Leibler divergence via the entropy-relaxed transportation problem Information Geometry. 1: 13-37. DOI: 10.1007/s41884-018-0002-8  0.662
2017 Amari SI, Ozeki T, Karakida R, Yoshida Y, Okada M. Dynamics of Learning in MLP: Natural Gradient and Singularity Revisited. Neural Computation. 1-33. PMID 29064781 DOI: 10.1162/neco_a_01029  0.479
2017 Yoshida Y, Karakida R, Okada M, Amari S. Statistical Mechanical Analysis of Online Learning with Weight Normalization in Single Layer Perceptron Journal of the Physical Society of Japan. 86: 044002. DOI: 10.7566/JPSJ.86.044002  0.469
2016 Oizumi M, Tsuchiya N, Amari SI. Unified framework for information integration based on information geometry. Proceedings of the National Academy of Sciences of the United States of America. PMID 27930289 DOI: 10.1073/Pnas.1603583113  0.726
2016 Karakida R, Okada M, Amari SI. Dynamical analysis of contrastive divergence learning: Restricted Boltzmann machines with Gaussian visible units. Neural Networks : the Official Journal of the International Neural Network Society. 79: 78-87. PMID 27131468 DOI: 10.1016/j.neunet.2016.03.013  0.45
2016 Oizumi M, Amari S, Yanagawa T, Fujii N, Tsuchiya N. Measuring Integrated Information from the Decoding Perspective. Plos Computational Biology. 12: e1004654. PMID 26796119 DOI: 10.1371/Journal.Pcbi.1004654  0.736
2015 MaBouDi H, Shimazaki H, Amari SI, Soltanian-Zadeh H. Representation of higher-order statistical structures in natural scenes via spatial phase distributions. Vision Research. PMID 26278166 DOI: 10.1016/J.Visres.2015.06.009  0.741
2015 Zhao Q, Zhou G, Zhang L, Cichocki A, Amari SI. Bayesian Robust Tensor Factorization for Incomplete Multiway Data. Ieee Transactions On Neural Networks and Learning Systems. PMID 26068876 DOI: 10.1109/Tnnls.2015.2423694  0.372
2015 Yamanaka Y, Amari S, Shinomoto S. Microscopic instability in recurrent neural networks. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 91: 032921. PMID 25871186 DOI: 10.1103/Physreve.91.032921  0.617
2014 Amari SI. Information geometry of positive measures and positive-definite matrices: Decomposable dually flat structure Entropy. 16: 2131-2145. DOI: 10.3390/e16042131  0.311
2013 Amari S, Ando H, Toyoizumi T, Masuda N. State concentration exponent as a measure of quickness in Kauffman-type networks. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 87: 022814. PMID 23496575 DOI: 10.1103/Physreve.87.022814  0.608
2013 Amari SI, Yukawa M. Minkovskian gradient for sparse optimization Ieee Journal On Selected Topics in Signal Processing. 7: 576-585. DOI: 10.1109/JSTSP.2013.2241014  0.306
2012 Kang K, Amari S. Self-consistent learning of the environment. Neural Computation. 24: 3191-212. PMID 22970868 DOI: 10.1162/NECO_a_00371  0.312
2012 Shimazaki H, Amari S, Brown EN, Grün S. State-space analysis of time-varying higher-order spike correlation for multiple neural spike train data. Plos Computational Biology. 8: e1002385. PMID 22412358 DOI: 10.1371/Journal.Pcbi.1002385  0.567
2011 Oizumi M, Okada M, Amari S. Information loss associated with imperfect observation and mismatched decoding. Frontiers in Computational Neuroscience. 5: 9. PMID 21629857 DOI: 10.3389/Fncom.2011.00009  0.739
2010 Amari S. Conditional mixture model for correlated neuronal spikes. Neural Computation. 22: 1718-36. PMID 20141479 DOI: 10.1162/neco.2010.04-08-766  0.332
2010 Amari Si. Information geometry in optimization, machine learning and statistical inference Frontiers of Electrical and Electronic Engineering in China. 5: 241-260. DOI: 10.1007/s11460-010-0101-3  0.347
2009 Tatsuno M, Fellous JM, Amari S. Information-geometric measures as robust estimators of connection strengths and external inputs. Neural Computation. 21: 2309-35. PMID 19538092 DOI: 10.1162/Neco.2009.04-08-748  0.626
2009 Amari S. Measure of correlation orthogonal to change in firing rate. Neural Computation. 21: 960-72. PMID 19018699 DOI: 10.1162/neco.2008.03-08-729  0.326
2009 Shimazaki H, Amari S, Brown EN, Grün S. Bayes factor analysis for detection of time-dependent higher-order spike correlations Bmc Neuroscience. 10. DOI: 10.1186/1471-2202-10-S1-P99  0.576
2009 Shimazaki H, Amari SI, Brown EN, Grün S. State-space analysis on time-varying correlations in parallel spike sequences Icassp, Ieee International Conference On Acoustics, Speech and Signal Processing - Proceedings. 3501-3504. DOI: 10.1109/ICASSP.2009.4960380  0.434
2009 Wu S, Amari SI. On the condition for fast neural computation Proceedings of the Ieee Conference On Decision and Control. 4487-4492. DOI: 10.1109/CDC.2009.5399682  0.367
2008 Li Y, Cichocki A, Amari S, Xie S, Guan C. Equivalence probability and sparsity of two sparse solutions in sparse representation. Ieee Transactions On Neural Networks / a Publication of the Ieee Neural Networks Council. 19: 2009-21. PMID 19054726 DOI: 10.1109/Tnn.2008.2003980  0.323
2008 Wei H, Amari S. Dynamics of learning near singularities in radial basis function networks. Neural Networks : the Official Journal of the International Neural Network Society. 21: 989-1005. PMID 18693082 DOI: 10.1016/j.neunet.2008.06.017  0.338
2008 Kang K, Amari S. Discrimination with Spike Times and ISI Distributions. Neural Computation. 20: 1411-26. PMID 18194107 DOI: 10.1162/neco.2007.07-07-561  0.324
2008 Wu S, Hamaguchi K, Amari S. Dynamics and computation of continuous attractors. Neural Computation. 20: 994-1025. PMID 18085986 DOI: 10.1162/Neco.2008.10-06-378  0.658
2008 Wei H, Zhang J, Cousseau F, Ozeki T, Amari S. Dynamics of learning near singularities in layered networks. Neural Computation. 20: 813-43. PMID 18045020 DOI: 10.1162/neco.2007.12-06-414  0.344
2006 Toyoizumi T, Aihara K, Amari S. Fisher information for spike-based population decoding. Physical Review Letters. 97: 098102. PMID 17026405 DOI: 10.1103/Physrevlett.97.098102  0.644
2006 Miura K, Okada M, Amari S. Estimating spiking irregularities under changing environments. Neural Computation. 18: 2359-86. PMID 16907630 DOI: 10.1162/Neco.2006.18.10.2359  0.738
2006 Nakamura W, Anami K, Mori T, Saitoh O, Cichocki A, Amari S. Removal of ballistocardiogram artifacts from simultaneously recorded EEG and fMRI data using independent component analysis. Ieee Transactions On Bio-Medical Engineering. 53: 1294-308. PMID 16830934 DOI: 10.1109/Tbme.2006.875718  0.463
2006 Amari S, Nakahara H. Correlation and independence in the neural code. Neural Computation. 18: 1259-67. PMID 16764504 DOI: 10.1162/neco.2006.18.6.1259  0.333
2006 Amari S, Park H, Ozeki T. Singularities affect dynamics of learning in neuromanifolds. Neural Computation. 18: 1007-65. PMID 16595057 DOI: 10.1162/089976606776241002  0.391
2006 Nakahara H, Amari S, Richmond BJ. A comparison of descriptive models of a single spike train by information-geometric measure. Neural Computation. 18: 545-68. PMID 16483407 DOI: 10.1162/089976606775623289  0.34
2006 Seghouane A, Amari S. VARIANTS OF THE KULLBACK-LEIBLER DIVERGENCE AND THEIR ROLE IN MODEL SELECTION Ifac Proceedings Volumes. 39: 826-831. DOI: 10.3182/20060329-3-AU-2901.00130  0.331
2006 Li Y, Amari S, Cichocki A, Ho DWC, Xie S. Underdetermined blind source separation based on sparse representation Ieee Transactions On Signal Processing. 54: 423-437. DOI: 10.1109/Tsp.2005.861743  0.303
2005 Wu S, Amari S. Computing with continuous attractors: stability and online aspects. Neural Computation. 17: 2215-39. PMID 16105223 DOI: 10.1162/0899766054615626  0.54
2005 Amari S, Nakahara H. Difficulty of singularity in population coding. Neural Computation. 17: 839-58. PMID 15829091 DOI: 10.1162/0899766053429426  0.365
2005 Fiori S, Amari S. Geometrical methods in neural networks and learning Neurocomputing. 67: 1-7. DOI: 10.1016/j.neucom.2005.02.010  0.311
2004 Zhang L, Cichocki A, Amari S. Self-adaptive blind source separation based on activation functions adaptation. Ieee Transactions On Neural Networks / a Publication of the Ieee Neural Networks Council. 15: 233-44. PMID 15384517 DOI: 10.1109/Tnn.2004.824420  0.348
2004 Ikeda S, Tanaka T, Amari S. Stochastic reasoning, free energy, and information geometry. Neural Computation. 16: 1779-810. PMID 15265322 DOI: 10.1162/0899766041336477  0.369
2004 Wu S, Amari S, Nakahara H. Information processing in a neuron ensemble with the multiplicative correlation structure. Neural Networks : the Official Journal of the International Neural Network Society. 17: 205-14. PMID 15036338 DOI: 10.1016/J.Neunet.2003.10.003  0.534
2004 Park H, Murata N, Amari S. Improving generalization performance of natural gradient learning using optimized regularization by NIC. Neural Computation. 16: 355-82. PMID 15006100 DOI: 10.1162/089976604322742065  0.351
2004 Ikeda S, Tanaka T, Amari S. Information geometry for turbo decoding Systems and Computers in Japan. 36: 79-87. DOI: 10.1002/scj.10359  0.32
2003 Wu S, Chen D, Niranjan M, Amari S. Sequential Bayesian decoding with a population of neurons. Neural Computation. 15: 993-1012. PMID 12803954 DOI: 10.1162/089976603765202631  0.526
2003 Amari S, Nakahara H, Wu S, Sakai Y. Synchronous firing and higher-order interactions in neuron pool. Neural Computation. 15: 127-42. PMID 12590822 DOI: 10.1162/089976603321043720  0.474
2003 Watanabe S, Amari S. Learning Coefficients of Layered Models When the True Distribution Mismatches the Singularities Neural Computation. 15: 1013-1033. DOI: 10.1162/089976603765202640  0.358
2003 Amari S, Ozeki T, Park H. Learning and inference in hierarchical models with singularities Systems and Computers in Japan. 34: 34-42. DOI: 10.1002/scj.10353  0.327
2002 Chen T, Lu W, Amari S. Global convergence rate of recurrently connected neural networks. Neural Computation. 14: 2947-57. PMID 12487799 DOI: 10.1162/089976602760805359  0.303
2002 Nakahara H, Amari S. Information-geometric measure for neural spikes. Neural Computation. 14: 2269-316. PMID 12396564 DOI: 10.1162/08997660260293238  0.369
2002 Wu S, Amari S, Nakahara H. Population coding and decoding in a neural field: a computational study. Neural Computation. 14: 999-1026. PMID 11972905 DOI: 10.1162/089976602753633367  0.546
2002 Choi S, Cichocki A, Amari S. Equivariant nonstationary source separation. Neural Networks : the Official Journal of the International Neural Network Society. 15: 121-30. PMID 11958485 DOI: 10.1016/S0893-6080(01)00137-X  0.34
2002 Wu S, Amari SI. Conformal transformation of kernel functions: A data-dependent way to improve support vector machine classifiers Neural Processing Letters. 15: 59-67. DOI: 10.1023/A:1013848912046  0.46
2002 Wu S, Amari S, Nakahara H. Asymptotic behaviors of population codes Neurocomputing. 44: 697-702. DOI: 10.1016/S0925-2312(02)00460-5  0.317
2002 Wu S, Amari SI. Neural implementation of Bayesian inference in population codes Advances in Neural Information Processing Systems 0.425
2001 Nakahara H, Wu S, Amari S. Attention modulation of neural tuning through peak and base rate. Neural Computation. 13: 2031-47. PMID 11516356 DOI: 10.1162/089976601750399290  0.468
2001 Wu S, Nakahara H, Amari S. Population coding with correlation and an unfaithful model. Neural Computation. 13: 775-97. PMID 11255569 DOI: 10.1162/089976601300014349  0.509
2001 Zhang L, Amari S, Cichocki A. Semiparametric model and superefficiency in blind deconvolution Signal Processing. 81: 2535-2553. DOI: 10.1016/S0165-1684(01)00146-3  0.312
2000 Amari S. Estimating functions of independent component analysis for temporally correlated signals. Neural Computation. 12: 2083-107. PMID 10976140 DOI: 10.1162/089976600300015079  0.339
2000 Fukumizu K, Amari S. Local minima and plateaus in hierarchical structures of multilayer perceptrons. Neural Networks : the Official Journal of the International Neural Network Society. 13: 317-27. PMID 10937965 DOI: 10.1016/S0893-6080(00)00009-5  0.337
2000 Amari S, Chen TP, Cichocki A. Nonholonomic orthogonal learning algorithms for blind source separation. Neural Computation. 12: 1463-84. PMID 10935723 DOI: 10.1162/089976600300015466  0.304
2000 Amari S, Park H, Fukumizu K. Adaptive method of realizing natural gradient learning for multilayer perceptrons. Neural Computation. 12: 1399-409. PMID 10935719 DOI: 10.1162/089976600300015420  0.315
1999 Basak J, Amari S. Blind separation of uniformly distributed signals: a general approach. Ieee Transactions On Neural Networks / a Publication of the Ieee Neural Networks Council. 10: 1173-85. PMID 18252618 DOI: 10.1109/72.788656  0.302
1999 Amari S, Wu S. Improving support vector machine classifiers by modifying kernel functions. Neural Networks : the Official Journal of the International Neural Network Society. 12: 783-789. PMID 12662656 DOI: 10.1016/S0893-6080(99)00032-5  0.458
1998 Amari SI. Natural Gradient Works Efficiently in Learning Neural Computation. 10: 251-276. DOI: 10.1162/089976698300017746  0.346
1998 Amari S. Information Geometry and Neural Networks Genome Informatics. 9: 217-217. DOI: 10.11234/Gi1990.9.217  0.347
1998 Rattray M, Saad D, Amari S. Natural Gradient Descent for On-Line Learning Physical Review Letters. 81: 5461-5464. DOI: 10.1103/PHYSREVLETT.81.5461  0.317
1998 Cichocki A, Douglas SC, Amari S. Robust techniques for independent component analysis (ICA) with noisy data Neurocomputing. 22: 113-129. DOI: 10.1016/S0925-2312(98)00052-6  0.311
1998 Xu L, Chiu Cheung C, Amari S. Learned parametric mixture based ICA algorithm Neurocomputing. 22: 69-80. DOI: 10.1016/S0925-2312(98)00050-2  0.315
1998 Yang HH, Amari S, Cichocki A. Information–theoretic approach to blind separation of sources in non-linear mixture Signal Processing. 64: 291-300. DOI: 10.1016/S0165-1684(97)00196-5  0.337
1997 Yang HH, Amari SI. Adaptive Online Learning Algorithms for Blind Separation: Maximum Entropy and Minimum Mutual Information Neural Computation. 9: 1457-1482. DOI: 10.1162/Neco.1997.9.7.1457  0.375
1997 Amari SI. Superefficiency in blind source separation Ieee Transactions On Signal Processing. 45: 1901. DOI: 10.1109/78.752592  0.341
1997 Amari S, Cardoso J-. Blind source separation-semiparametric statistical approach Ieee Transactions On Signal Processing. 45: 2692-2700. DOI: 10.1109/78.650095  0.327
1997 Cardoso J, Amari S. Maximum Likelihood Source Separation: Equivariance and Adaptivity Ifac Proceedings Volumes. 30: 1013-1018. DOI: 10.1016/S1474-6670(17)42973-9  0.337
1995 Amari S. The EM Algorithm and Information Geometry in Neural Network Learning Neural Computation. 7: 13-18. DOI: 10.1162/neco.1995.7.1.13  0.326
1995 Amari Si. Information geometry of the EM and em algorithms for neural networks Neural Networks. 8: 1379-1408. DOI: 10.1016/0893-6080(95)00003-8  0.363
1995 Fujiwara A, Amari Si. Gradient systems in view of information geometry Physica D: Nonlinear Phenomena. 80: 317-327. DOI: 10.1016/0167-2789(94)00175-P  0.303
1994 Murata N, Yoshizawa S, Amari S. Network information criterion-determining the number of hidden units for an artificial neural network model. Ieee Transactions On Neural Networks / a Publication of the Ieee Neural Networks Council. 5: 865-72. PMID 18267861 DOI: 10.1109/72.329683  0.363
1994 Kawanabe M, Amari S. Estimation of network parameters in semiparametric stochastic perceptron Neural Computation. 6: 1244-1261. DOI: 10.1162/Neco.1994.6.6.1244  0.331
1994 Zhuang J, Amari S. Piecewise-linear division of region by neural networks with maximum detectors Systems and Computers in Japan. 25: 73-79. DOI: 10.1002/scj.4690250608  0.309
1993 Amari Si. Backpropagation and stochastic gradient descent method Neurocomputing. 5: 185-196. DOI: 10.1016/0925-2312(93)90006-O  0.368
1992 Amari S, Fujita N, Shinomoto S. Four Types of Learning Curves Neural Computation. 4: 605-618. DOI: 10.1162/Neco.1992.4.4.605  0.591
1991 Meunier C, Yanai HF, Amari SI. Sparsely coded associative memories: Capacity and dynamical properties Network: Computation in Neural Systems. 2: 469-487. DOI: 10.1088/0954-898X_2_4_009  0.309
1991 Amari Si. Dualistic geometry of the manifold of higher-order neurons Neural Networks. 4: 443-451. DOI: 10.1016/0893-6080(91)90040-C  0.352
1991 Kabayashi K, Amari S, Ito H. Equivalence of hidden Markov models Electronics and Communications in Japan (Part Iii: Fundamental Electronic Science). 74: 85-94. DOI: 10.1002/ECJC.4430740709  0.301
1991 Ito H, Amari S, Kobayashi K. Identifiability of hidden markov processes and their minimum degrees of freedom Electronics and Communications in Japan (Part Iii: Fundamental Electronic Science). 74: 77-84. DOI: 10.1002/ECJC.4430740708  0.31
1989 Amari Si. Fisher information under restriction of Shannon information in multi-terminal situations Annals of the Institute of Statistical Mathematics. 41: 623-648. DOI: 10.1007/BF00057730  0.362
1987 AMARI S. Neural Information Processing Journal of the Society of Mechanical Engineers. 90: 758-759. DOI: 10.1299/jsmemag.90.823_758  0.329
1987 Amari S. Neural mechanisms of information processing in the brain Systems and Computers in Japan. 18: 31-45. DOI: 10.1002/scj.4690180704  0.369
1987 Amari S. Data compression and statistical inference Electronics and Communications in Japan (Part I: Communications). 70: 16-24. DOI: 10.1002/ECJA.4410701102  0.354
1985 Arbib MA, Amari S. Sensori-motor transformations in the brain (with a critique of the tensor theory of cerebellum). Journal of Theoretical Biology. 112: 123-55. PMID 3974260 DOI: 10.1016/S0022-5193(85)80120-X  0.305
1984 Kumon M, Amari S. Estimation of a structural parameter in the presence of a large number of nuisance parameters Biometrika. 71: 445-459. DOI: 10.1093/Biomet/71.3.445  0.341
1983 Amari S, Kumon M. Differential Geometry of Edgeworth Expansions in curved Exponential Family Annals of the Institute of Statistical Mathematics. 35: 1-24. DOI: 10.1007/Bf02480959  0.307
1983 Amari S. A foundation of information geometry Electronics and Communications in Japan Part I-Communications. 66: 1-10. DOI: 10.1002/Ecja.4400660602  0.375
1982 Amari S. Differential Geometry of Curved Exponential Families-Curvatures and Information Loss Annals of Statistics. 10: 357-385. DOI: 10.1214/Aos/1176345779  0.348
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