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 |
0.682 |
|
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 |
0.68 |
|
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 |
0.672 |
|
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 |
0.434 |
|
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 |
0.667 |
|
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 |
0.301 |
|
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 |
0.657 |
|
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 |
0.477 |
|
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 |
0.467 |
|
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 |
0.723 |
|
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 |
0.448 |
|
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 |
0.733 |
|
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 |
0.615 |
|
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 |
0.602 |
|
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 |
0.735 |
|
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 |
0.359 |
|
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 |
0.655 |
|
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 |
0.638 |
|
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 |
0.736 |
|
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 |
0.332 |
|
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 |
0.535 |
|
2005 |
Amari S, Nakahara H. Difficulty of singularity in population coding. Neural Computation. 17: 839-58. PMID 15829091 DOI: 10.1162/0899766053429426 |
0.364 |
|
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 |
0.349 |
|
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 |
0.368 |
|
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 |
0.529 |
|
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 |
0.521 |
|
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 |
0.469 |
|
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 |
0.302 |
|
2002 |
Nakahara H, Amari S. Information-geometric measure for neural spikes. Neural Computation. 14: 2269-316. PMID 12396564 DOI: 10.1162/08997660260293238 |
0.368 |
|
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 |
0.541 |
|
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 |
0.454 |
|
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. |
0.418 |
|
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 |
0.462 |
|
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 |
0.503 |
|
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 |
0.313 |
|
2000 |
Amari S. Estimating functions of independent component analysis for temporally correlated signals. Neural Computation. 12: 2083-107. PMID 10976140 DOI: 10.1162/089976600300015079 |
0.34 |
|
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 |
0.452 |
|
1998 |
Amari SI. Natural Gradient Works Efficiently in Learning Neural Computation. 10: 251-276. DOI: 10.1162/089976698300017746 |
0.347 |
|
1998 |
Amari S. Information Geometry and Neural Networks Genome Informatics. 9: 217-217. DOI: 10.11234/Gi1990.9.217 |
0.346 |
|
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 |
0.316 |
|
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 |
0.342 |
|
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 |
0.362 |
|
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 |
0.308 |
|
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 |
0.59 |
|
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 |
0.361 |
|
1987 |
AMARI S. Neural Information Processing Journal of the Society of Mechanical Engineers. 90: 758-759. DOI: 10.1299/jsmemag.90.823_758 |
0.328 |
|
1987 |
Amari S. Neural mechanisms of information processing in the brain Systems and Computers in Japan. 18: 31-45. DOI: 10.1002/scj.4690180704 |
0.368 |
|
1987 |
Amari S. Data compression and statistical inference Electronics and Communications in Japan (Part I: Communications). 70: 16-24. DOI: 10.1002/ECJA.4410701102 |
0.353 |
|
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 |
0.308 |
|
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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