## Neural Computation

 Short Title: Neural Comput. Publisher: MIT Press, Cambridge, MA ISSN: 0899-7667; 1530-888X/e Online: http://www.mitpressjournals.org/loi/neco Comments: Published electronic only as of Vol. 27, No. 1 (2015).
 Documents Indexed: 2,192 Publications (since 1994) References Indexed: 2,095 Publications with 77,302 References.
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### Authors

 36 Amari, Shun-ichi 31 Sugiyama, Masashi 27 Sejnowski, Terrence J. 22 Elliott, Terry 16 Aihara, Kazuyuki 15 Maass, Wolfgang 14 Bengio, Yoshua 13 Lin, Chih-Jen 13 Murata, Noboru 13 Okada, Masato 12 Hoshino, Osamu 12 Hyvärinen, Aapo 11 Brown, Emery N. 11 Eden, Uri T. 11 Eguchi, Shinto 11 Friston, Karl J. 11 Kanamori, Takafumi 11 Paninski, Liam 11 Tiňo, Peter 10 Chen, Tianping 10 Diesmann, Markus 10 Douglas, Rodney J. 10 Gerstner, Wulfram 10 Nakahara, Hiroyuki 10 Ventura, Valérie 10 Wu, Si 9 Chan, Laiwan 9 Cichocki, Andrzej 9 Hansen, Lars Kai 9 Hino, Hideitsu 9 Kass, Robert E. 9 Pipa, Gordon 9 Príncipe, José Carlos 9 von der Malsburg, Christoph 8 Aertsen, Ad 8 Dayan, Peter 8 Eliasmith, Chris 8 Goodhill, Geoffrey J. 8 Hammer, Barbara 8 Hinton, Geoffrey Everest 8 Keerthi, S. Sathiya 8 Lánský, Petr 8 Longtin, André 8 Masuda, Naoki 8 Niebur, Ernst 8 Porr, Bernd 8 Samengo, Inés 8 Takeuchi, Ichiro 8 Van Hulle, Marc M. 8 van Rossum, Mark C. W. 8 Wiskott, Laurenz 8 Wörgötter, Florentin 7 Abarbanel, Henry D. I. 7 Akaho, Shotaro 7 Bogacz, Rafal 7 Chklovskii, Dmitri B. 7 Destexhe, Alain 7 Herz, Andreas V. M. 7 Kawanabe, Motoaki 7 Schmidhuber, Jürgen 7 Senn, Walter 7 Seung, H. Sebastian 7 Šíma, Jiří 7 Takenouchi, Takashi 7 Tang, Huajin 6 Aoyagi, Toshio 6 Becker, Suzanna 6 Berger, Theodore W. 6 Chen, Zhe 6 Fiori, Simone 6 Hansel, David 6 Holmes, Philip J. 6 Isomura, Takuya 6 Jacobs, Robert A. 6 Kanamaru, Takashi 6 Kappen, Hilbert J. 6 Koch, Christof 6 Lainscsek, Claudia S. M. 6 Liu, Shihchii 6 Lücke, Jörg 6 Miller, David John 6 Müller, Klaus-Robert 6 Nie, Feiping 6 Niu, Gang 6 Pan, Linqiang 6 Panzeri, Stefano 6 Parr, Thomas 6 Pillow, Jonathan W. 6 Rotter, Stefan 6 Schrauwen, Benjamin 6 Sharpee, Tatyana O. 6 Shea-Brown, Eric 6 Simoncelli, Eero P. 6 Slotine, Jean-Jacques E. 6 Sompolinsky, Haim 6 Song, Dong 6 Suzuki, Taiji 6 Tiesinga, Paul H. E. 6 Toyoizumi, Taro 6 Xia, Youshen ...and 3,583 more Authors
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### Fields

 1,189 Biology and other natural sciences (92-XX) 965 Computer science (68-XX) 388 Statistics (62-XX) 199 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 115 Probability theory and stochastic processes (60-XX) 115 Numerical analysis (65-XX) 100 Information and communication theory, circuits (94-XX) 58 Systems theory; control (93-XX) 50 Dynamical systems and ergodic theory (37-XX) 50 Operations research, mathematical programming (90-XX) 23 Combinatorics (05-XX) 22 Ordinary differential equations (34-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 16 Partial differential equations (35-XX) 9 Functional analysis (46-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Statistical mechanics, structure of matter (82-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 Approximations and expansions (41-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

1,427 Publications have been cited 10,927 times in 6,729 Documents Cited by Year
Laplacian eigenmaps for dimensionality reduction and data representation. Zbl 1085.68119
Belkin, Mikhail; Niyogi, Partha
2003
A fast learning algorithm for deep belief nets. Zbl 1106.68094
Hinton, Geoffrey E.; Osindero, Simon; Teh, Yee-Whye
2006
Real-time computing without stable states: A new framework for neural computation based on perturbations. Zbl 1057.68618
Maass, Wolfgang; Natschläger, Thomas; Markram, Henry
2002
Training products of experts by minimizing contrastive divergence. Zbl 1010.68111
Hinton, Geoffrey E.
2002
Projected gradient methods for nonnegative matrix factorization. Zbl 1173.90583
Lin, Chih-Jen
2007
On the phase reduction and response dynamics of neural oscillator population. Zbl 1054.92006
Brown, Eric; Moehlis, Jeff; Holmes, Philip
2004
Estimating the support of a high-dimensional distribution. Zbl 1009.62029
Schölkopf, Bernhard; Platt, John C.; Shawe-Taylor, John; Smola, Alex J.; Williamson, Robert C.
2001
The concave-convex procedure. Zbl 1022.68112
Yuille, A. L.; Rangarajan, Anand
2003
Estimation of entropy and mutual information. Zbl 1052.62003
Paninski, Liam
2003
Canonical correlation analysis: An overview with application to learning methods. Zbl 1062.68134
Hardoon, David R.; Szedmak, Sandor; Shawe-Taylor, John
2004
The time-rescaling theorem and its application to neural spike train data analysis. Zbl 0989.62060
Brown, Emery N.; Barbieri, Riccardo; Ventura, Valérie; Kass, Robert E.; Frank, Loren M.
2002
Improvements to Platt’s SMO algorithm for SVM classifier design. Zbl 1085.68629
Keerthi, S. S.; Shevade, S. K.; Bhattacharyya, C.; Murthy, K. R. K.
2001
Polychronization: computation with spikes. Zbl 1090.92006
Izhikevich, Eugen M.
2006
Dynamics of the firing probability of noisy integrate-and-fire neurons. Zbl 1009.92007
Fourcaud, Nicolas; Brunel, Nicolas
2002
Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Zbl 1085.68615
Börgers, Christoph; Kopell, Nancy
2003
The diffusion decision model: Theory and data for two-choice decision tasks. Zbl 1147.68720
Ratcliff, Roger; McKoon, Gail
2008
Asymptotic behaviors of support vector machines with Gaussian kernel. Zbl 1086.68569
Keerthi, S. Sathiya; Lin, Chih-Jen
2003
Stationary bumps in networks of spiking neurons. Zbl 0978.92004
Laing, Carlo R.; Chow, Carson C.
2001
SVM soft margin classifiers: linear programming versus quadratic programming. Zbl 1108.90324
Wu, Qiang; Zhou, Ding-Xuan
2005
On learning vector-valued functions. Zbl 1092.93045
Micchelli, Charles A.; Pontil, Massimiliano
2005
Slow feature analysis: Unsupervised learning of invariances. Zbl 0994.68591
Wiskott, Laurenz; Sejnowski, Terrence J.
2002
Memorization and association on a realistic neural model. Zbl 1089.68612
Valiant, Leslie G.
2005
Bayesian framework for least-squares support vector machine classifiers, Gaussian processes, and kernel Fisher discriminant analysis. Zbl 1003.68146
Van Gestel, T.; Suykens, J. A. K.; Lanckriet, G.; Lambrechts, A.; De Moor, B.; Vandewalle, J.
2002
A universal model for spike-frequency adaptation. Zbl 1052.92010
Benda, Jan; Herz, Andreas V. M.
2003
Training a support vector machine in the primal. Zbl 1123.68101
Chapelle, Olivier
2007
A spike-train probability model. Zbl 0985.92017
Kass, Robert E.; Ventura, Valérie
2001
Maximum likelihood estimation of a stochastic integrate-and-fire neural encoding model. Zbl 1180.62179
Paninski, Liam; Pillow, Jonathan W.; Simoncelli, Eero P.
2004
Predictability, complexity, and learning. Zbl 0993.68045
Bialek, William; Nemenman, Ilya; Tishby, Naftali
2001
Real-time computation at the edge of chaos in recurrent neural networks. Zbl 1102.68530
Bertschinger, Nils; Natschläger, Thomas
2004
The effects of spike frequency adaptation and negative feeback on the synchronization of neural oscillators. Zbl 0963.68647
Ermentrout, Bard; Pascal, Matthew; Gutkin, Boris
2001
New conditions on global stability of Cohen-Grossberg neural networks. Zbl 1086.68573
Lu, Wenlian; Chen, Tianping
2003
Relating STDP to BCM. Zbl 1109.92307
Izhikevich, Eugene M.; Desai, Niraj S.
2003
Analyzing functional connectivity using a network likelihood model of ensemble neural spiking activity. Zbl 1076.92011
Okatan, Murat; Wilson, Matthew A.; Brown, Emery N.
2005
Firing rate of the noisy quadratic integrate-and-fire neuron. Zbl 1085.68617
Brunel, Nicolas; Latham, Peter E.
2003
Information geometry of $$U$$-Boost and Bregman divergence. Zbl 1102.68489
Murata, Noboru; Takenouchi, Takashi; Kanamori, Takafumi; Eguchi, Shinto
2004
Dictionary learning algorithms for sparse representation. Zbl 1047.68101
Kreutz-Delgado, Kenneth; Murray, Joseph F.; Rao, Bhaskar D.; Engan, Kjersti; Lee, Te-Won; Sejnowski, Terrence J.
2003
Dynamical behaviors of delayed neural network systems with discontinuous activation functions. Zbl 1094.68625
Lu, Wenlian; Chen, Tianping
2006
Almost periodic dynamics of a class of delayed neural networks with discontinuous activations. Zbl 1146.68422
Lu, Wenlian; Chen, Tianping
2008
Nonnegative matrix factorization with the Itakura-Saito divergence: With application to music analysis. Zbl 1156.94306
Févotte, Cédric; Bertin, Nancy; Durrieu, Jean-Louis
2009
Sparse on-line Gaussian processes. Zbl 0987.62060
Csató, Lehel; Opper, Manfred
2002
Blind source separation by sparse decomposition in a signal dictionary. Zbl 0985.94004
Zibulevsky, Michael; Pearlmutter, Barak A.
2001
On the convergence of stochastic iterative dynamic programming algorithms. Zbl 0822.68095
Jaakkola, Tommi; Jordan, Michael I.; Singh, Satinder P.
1994
A novel spike distance. Zbl 0979.92011
van Rossum, M. C. W.
2001
Estimating a state-space model from point process observations. Zbl 1085.68651
Smith, Anne C.; Brown, Emery N.
2003
Dynamic analysis of neural encoding by point process adaptive filtering. Zbl 1054.92008
Eden, Uri T.; Frank, Loren M.; Barbieri, Riccardo; Solo, Victor; Brown, Emery N.
2004
An efficient learning procedure for deep Boltzmann machines. Zbl 1247.68223
Salakhutdinov, Ruslan; Hinton, Geoffrey
2012
Divergence function, duality, and convex analysis. Zbl 1082.62005
Zhang, Jun
2004
Unitary events in multiple single-neuron spiking activity: I. Detection and significance. Zbl 0985.62093
Grün, Sonja; Diesmann, Markus; Aertsen, Ad
2002
Training $$\nu$$-support vector classifiers: Theory and algorithms. Zbl 0993.68080
Chang, Chih-Chung; Lin, Chih-Jen
2001
Algebraic analysis for nonidentifiable learning machines. Zbl 0985.68051
Watanabe, Sumio
2001
Correctness of belief propagation in Gaussian graphical models of arbitrary topology. Zbl 0992.68055
Weiss, Yair; Freeman, William T.
2001
Robust blind source separation by beta divergence. Zbl 1019.94506
Mihoko, Minami; Eguchi, Shinto
2002
Topographic independent component analysis. Zbl 1009.62049
Hyvärinen, Aapo; Hoyer, Patrik O.; Inki, Mika
2001
Spike-timing-dependent Hebbian plasticity as temporal difference learning. Zbl 0982.92006
Rao, Rajesh P. N.; Sejnowski, Terrence J.
2001
Stability-based validation of clustering solutions. Zbl 1089.68100
Lange, Tilman; Roth, Volker; Braun, Mikio L.; Buhmann, Joachim M.
2004
A sequential learning scheme for function approximation using minimal radial basis function neural networks. Zbl 1067.68586
Lu, Yingwei; Sundararajan, N.; Saratchandran, P.
1997
Stochastic optimal control and estimation methods adapted to the noise characteristics of the sensorimotor system. Zbl 1108.93082
Todorov, Emanuel
2005
Spike-timing-dependent plasticity: the relationship to rate-based learning for models with weight dynamics determined by a stable fixed point. Zbl 1054.92007
Burkitt, Anthony N.; Meffin, Hamish; Grayden, David B.
2004
Spectral algorithms for supervised learning. Zbl 1147.68643
Lo Gerfo, L.; Rosasco, L.; Odone, F.; de Vito, E.; Verri, A.
2008
Population coding and decoding in a neural field: A computational study. Zbl 0994.92011
Wu, Si; Amari, Shun-ichi; Nakahara, Hiroyuki
2002
Leave-one-out bounds for kernel methods. Zbl 1085.68144
Zhang, Tong
2003
Dynamic analyses of information encoding in neural ensembles. Zbl 1047.92008
Barbieri, Riccardo; Frank, Loren M.; Nguyen, David P.; Quirk, Michael C.; Solo, Victor; Wilson, Matthew A.; Brown, Emery N.
2004
Dynamical behaviors of a large class of general delayed neural networks. Zbl 1080.68615
Chen, Tianping; Lu, Wenlian; Chen, Guangrong
2005
Higher-order statistics of input ensembles and the response of simple model neurons. Zbl 1026.92011
Kuhn, Alexandre; Aertsen, Ad; Rotter, Stefan
2003
Algorithms for nonnegative matrix factorization with the $$\beta$$-divergence. Zbl 1231.65072
Févotte, Cédric; Idier, Jérôme
2011
Systematic fluctuation expansion for neural network activity equations. Zbl 1183.92013
Buice, Michael A.; Cowan, Jack D.; Chow, Carson C.
2010
Integrate-and-fire neurons driven by correlated stochastic input. Zbl 1011.92016
Salinas, Emilio; Sejnowski, Terrence J.
2002
Statistical inference, Occam’s razor, and statistical mechanics on the space of probability distributions. Zbl 0870.62006
Balasubramanian, Vijay
1997
Resampling method for unsupervised estimation of cluster validity. Zbl 0993.68113
Levine, Erel; Domany, Eytan
2001
Patterns of synchrony in neural networks with spike adaptation. Zbl 1004.92011
van Vreeswijk, C.; Hansel, D.
2001
Rate models for conductance-based cortical neuronal networks. Zbl 1054.92019
Shriki, Oren; Hansel, David; Sompolinsky, Haim
2003
General-purpose computation with neural networks: a survey of complexity theoretic results. Zbl 1097.68589
Šíma, Jiří; Orponen, Pekka
2003
Asynchronous states and the emergence of synchrony in large networks of interacting excitatory and inhibitory neurons. Zbl 1031.68098
Hansel, D.; Mato, G.
2003
Optimal spike-timing-dependent plasticity for precise action potential firing in supervised learning. Zbl 1092.92008
Pfister, Jean-Pascal; Toyoizumi, Taro; Barber, David; Gerstner, Wulfram
2006
Information processing in dendritic trees. Zbl 0810.92007
Mel, Bartlett W.
1994
Rate coding versus temporal order coding: What the retinal ganglion cells tell the visual cortex. Zbl 0963.68645
Van Rullen, Rufin; Thorpe, Simon J.
2001
An algorithm for modifying neurotransmitter release probability based on pre- and postsynaptic spike timing. Zbl 1047.92014
Senn, Walter; Markram, Henry; Tsodyks, Misha
2001
Bayesian computation in recurrent neural circuits. Zbl 1090.68090
Rao, Rajesh P. N.
2004
What geometric visual hallucinations tell us about the visual cortex. Zbl 1037.91083
Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J.; Wiener, Matthew C.
2002
Multiperiodicity and exponential attractivity evoked by periodic external inputs in delayed cellular neural networks. Zbl 1107.68086
Zeng, Zhigang; Wang, Jun
2006
Spiking neural P systems with weights. Zbl 1208.68120
Wang, Jun; Hoogeboom, Hendrik Jan; Pan, Linqiang; Păun, Gheorghe; Pérez-Jiménez, Mario J.
2010
Representational power of restricted Boltzmann machines and deep belief networks. Zbl 1140.68057
Le Roux, Nicolas; Bengio, Yoshua
2008
Orthogonality of decision boundaries in complex-valued neural networks. Zbl 1084.68105
Nitta, Tohru
2004
Learning bounds for kernel regression using effective data dimensionality. Zbl 1080.68044
Zhang, Tong
2005
Degree of approximation results for feedforward networks approximating unknown mappings and their derivatives. Zbl 0846.60088
Hornik, Kurt; Stinchcombe, Maxwell; White, Halbert; Auer, Peter
1994
Intrinsic stabilization of output rates by spike-based Hebbian learning. Zbl 0996.92001
Kempter, Richard; Gerstner, Wulfram; van Hemmen, J. Leo
2001
Unitary events in multiple single-neuron spiking activity: II. Nonstationary data. Zbl 1005.92006
Grün, Sonja; Diesmann, Markus; Aertsen, Ad
2002
Permitted and forbidden sets in symmetric threshold-linear networks. Zbl 1046.92003
Hahnloser, Richard H. R.; Seung, H. Sebastian; Slotine, Jean-Jacques
2003
Synaptic shot noise and conductance fluctuations affect the membrane voltage with equal significance. Zbl 1076.92014
Richardson, Magnus J. E.; Gerstner, Wulfram
2005
Bayesian spiking neurons. I: Inference. Zbl 1148.92004
Deneve, Sophie
2008
Synchronous firing and higher-order interactions in neuron pool. Zbl 1028.92007
Amari, Shun-ichi; Nakahara, Hiroyuki; Wu, Si; Sakai, Yutaka
2003
Spiking neural P systems with astrocytes. Zbl 1238.68056
Pan, Linqiang; Wang, Jun; Hoogeboom, Hendrik Jan
2012
A method for selecting the bin size of a time histogram. Zbl 1115.92014
Shimazaki, Hideaki; Shinomoto, Shigeru
2007
Dynamical stability conditions for recurrent neural networks with unsaturating piecewise linear transfer functions. Zbl 1009.92003
Wersing, Heiko; Beyn, Wolf-Jürgen; Ritter, Helge
2001
Online model selection based on the variational Bayes. Zbl 1013.62087
Sato, Masa-aki
2001
Support vector ordinal regression. Zbl 1127.68080
Chu, Wei; Keerthi, S. Sathiya
2007
Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Zbl 1059.92008
Börgers, Christoph; Kopell, Nancy
2005
CCCP algorithms to minimize the Bethe and Kikuchi free energies: Convergent alternatives to belief propagation. Zbl 1051.68121
Yuille, A. L.
2002
Information-geometric measure for neural spikes. Zbl 1018.68068
Nakahara, Hiroyuki; Amari, Shun-ichi
2002
Bayesian model assessment and comparison using cross-validation predictive densities. Zbl 1002.62029
Vehtari, Aki; Lampinen, Jouko
2002
Adaptive learning neural network method for solving time-fractional diffusion equations. Zbl 07541166
Shiri, Babak; Kong, Hua; Wu, Guo-Cheng; Luo, Cheng
2022
On neural network kernels and the storage capacity problem. Zbl 1492.68118
Zavatone-Veth, Jacob A.; Pehlevan, Cengiz
2022
Deep network with approximation error being reciprocal of width to power of square root of depth. Zbl 07377023
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
2021
Active inference: demystified and compared. Zbl 07377013
Sajid, Noor; Ball, Philip J.; Parr, Thomas; Friston, Karl J.
2021
New insights into learning with correntropy-based regression. Zbl 07376998
Feng, Yunlong
2021
Enhanced signal detection by adaptive decorrelation of interspike intervals. Zbl 1469.92033
Nesse, William H.; Maler, Leonard; Longtin, André
2021
Whence the expected free energy? Zbl 1469.91041
Millidge, Beren; Tschantz, Alexander; Buckley, Christopher L.
2021
Implicit regularization and momentum algorithms in nonlinearly parameterized adaptive control and prediction. Zbl 1469.93055
Boffi, Nicholas M.; Slotine, Jean-Jacques E.
2021
Pathological spectra of the Fisher information metric and its variants in deep neural networks. Zbl 07480272
Karakida, Ryo; Akaho, Shotaro; Amari, Shun-Ichi
2021
Chance-constrained active inference. Zbl 1483.91172
De Laar, Thijs van; Şenöz, İsmail; Özçelikkale, Ayça; Wymeersch, Henk
2021
Realizing active inference in variational message passing: the outcome-blind certainty seeker. Zbl 1481.91159
Champion, Théophile; Grześ, Marek; Bowman, Howard
2021
Task-agnostic continual learning using online variational Bayes with fixed-point updates. Zbl 07476946
Zeno, Chen; Golan, Itay; Hoffer, Elad; Soudry, Daniel
2021
Model-free robust optimal feedback mechanisms of biological motor control. Zbl 1450.92020
Bian, Tao; Wolpert, Daniel M.; Jiang, Zhong-Ping
2020
Fast and accurate Langevin simulations of stochastic Hodgkin-Huxley dynamics. Zbl 1453.92060
Pu, Shusen; Thomas, Peter J.
2020
The stochastic delta rule: faster and more accurate deep learning through adaptive weight noise. Zbl 1468.68181
Frazier-Logue, Noah; Hanson, Stephen José
2020
Online learning based on online DCA and application to online classification. Zbl 1468.68157
Le Thi, Hoai An; Ho, Vinh Thanh
2020
First passage time memory lifetimes for multistate, filter-based synapses. Zbl 1475.92012
Elliott, Terry
2020
Inference of a mesoscopic population model from population spike trains. Zbl 1450.92023
René, Alexandre; Longtin, André; Macke, Jakob H.
2020
Stochastic multichannel ranking with brain dynamics preferences. Zbl 1450.92046
Pan, Yuangang; Tsang, Ivor W.; Singh, Avinash K.; Lin, Chin-Teng; Sugiyama, Masashi
2020
A continuous-time analysis of distributed stochastic gradient. Zbl 07268863
Boffi, Nicholas M.; Slotine, Jean-Jacques E.
2020
From synaptic interactions to collective dynamics in random neuronal networks models: critical role of eigenvectors and transient behavior. Zbl 1445.92006
Gudowska-Nowak, E.; Nowak, M. A.; Chialvo, D. R.; Ochab, J. K.; Tarnowski, W.
2020
Classification from triplet comparison data. Zbl 1468.68150
Cui, Zhenghang; Charoenphakdee, Nontawat; Sato, Issei; Sugiyama, Masashi
2020
Center manifold analysis of plateau phenomena caused by degeneration of three-layer perceptron. Zbl 1473.68180
Tsutsui, Daiji
2020
A mean-field description of bursting dynamics in spiking neural networks with short-term adaptation. Zbl 1453.92013
Gast, Richard; Schmidt, Helmut; Knösche, Thomas R.
2020
Hyperbolic-valued Hopfield neural networks in synchronous mode. Zbl 07289989
Kobayashi, Masaki
2020
Reverse-engineering neural networks to characterize their cost functions. Zbl 1453.92014
Isomura, Takuya; Friston, Karl
2020
Bicomplex projection rule for complex-valued Hopfield neural networks. Zbl 07290006
Kobayashi, Masaki
2020
Accelerating nonnegative matrix factorization algorithms using extrapolation. Zbl 1470.65083
Ang, Andersen Man Shun; Gillis, Nicolas
2019
Information geometry for regularized optimal transport and barycenters of patterns. Zbl 1478.53020
Amari, Shun-Ichi; Karakida, Ryo; Oizumi, Masafumi; Cuturi, Marco
2019
Fixed points of competitive threshold-linear networks. Zbl 1471.92014
Curto, Carina; Geneson, Jesse; Morrison, Katherine
2019
Gradient descent with identity initialization efficiently learns positive-definite linear transformations by deep residual networks. Zbl 1475.68311
Bartlett, Peter L.; Helmbold, David P.; Long, Philip M.
2019
A review of recurrent neural networks: LSTM cells and network architectures. Zbl 07164882
Yu, Yong; Si, Xiaosheng; Hu, Changhua; Zhang, Jianxun
2019
A novel predictive-coding-inspired variational RNN model for online prediction and recognition. Zbl 1452.68145
2019
Effect of depth and width on local minima in deep learning. Zbl 07164889
Kawaguchi, Kenji; Huang, Jiaoyang; Kaelbling, Leslie Pack
2019
Learning compositional representations of interacting systems with restricted Boltzmann machines: comparative study of lattice proteins. Zbl 1429.92113
Tubiana, Jérôme; Cocco, Simona; Monasson, Rémi
2019
One step back, two steps forward: interference and learning in recurrent neural networks. Zbl 1429.92009
Beer, Chen; Barak, Omri
2019
On functions computed on trees. Zbl 07164909
Farhoodi, Roozbeh; Filom, Khashayar; Jones, Ilenna Simone; Kording, Konrad Paul
2019
Safe triplet screening for distance metric learning. Zbl 07164920
Yoshida, Tomoki; Takeuchi, Ichiro; Karasuyama, Masayuki
2019
First passage time memory lifetimes for simple, multistate synapses: beyond the eigenvector requirement. Zbl 1471.92068
Elliott, Terry
2019
Dual neural network method for solving multiple definite integrals. Zbl 07401146
Li, Haibin; Li, Yangtian; Li, Shangjie
2019
Equivalence of equilibrium propagation and recurrent backpropagation. Zbl 1474.68271
Scellier, Benjamin; Bengio, Yoshua
2019
Vector-derived transformation binding: an improved binding operation for deep symbol-like processing in neural networks. Zbl 1476.68228
Gosmann, Jan; Eliasmith, Chris
2019
Adaptive Gaussian process approximation for Bayesian inference with expensive likelihood functions. Zbl 1471.62290
Wang, Hongqiao; Li, Jinglai
2018
Machine learning: deepest learning as statistical data assimilation problems. Zbl 1472.68127
Abarbanel, Henry D. I.; Rozdeba, Paul J.; Shirman, Sasha
2018
Why do similarity matching objectives lead to Hebbian/anti-Hebbian networks? Zbl 1472.92037
Pehlevan, Cengiz; Sengupta, Anirvan M.; Chklovskii, Dmitri B.
2018
Encoding time in feedforward trajectories of a recurrent neural network model. Zbl 1472.92017
Hardy, N. F.; Buonomano, Dean V.
2018
A comparative study of pairwise learning methods based on kernel ridge regression. Zbl 1472.68158
Stock, Michiel; Pahikkala, Tapio; Airola, Antti; De Baets, Bernard; Waegeman, Willem
2018
Dynamics of learning in MLP: natural gradient and singularity revisited. Zbl 1472.68128
Amari, Shun-ichi; Ozeki, Tomoko; Karakida, Ryo; Yoshida, Yuki; Okada, Masato
2018
Information-theoretic bounds and approximations in neural population coding. Zbl 1472.92022
Huang, Wentao; Zhang, Kechen
2018
A theory of sequence indexing and working memory in recurrent neural networks. Zbl 1472.68055
Frady, E. Paxon; Kleyko, Denis; Sommer, Friedrich T.
2018
Bias reduction and metric learning for nearest-neighbor estimation of Kullback-Leibler divergence. Zbl 1471.62301
Noh, Yung-Kyun; Sugiyama, Masashi; Liu, Song; Du Plessis, Marthinus C.; Park, Frank Chongwoo; Lee, Daniel D.
2018
The discrete and continuous brain: from decisions to movement – and back again. Zbl 1472.92035
Parr, Thomas; Friston, Karl J.
2018
Active inference, belief propagation, and the Bethe approximation. Zbl 1471.91411
Schwöbel, Sarah; Kiebel, Stefan; Marković, Dimitrije
2018
A simple model for low variability in neural spike trains. Zbl 1472.92067
Ferrari, Ulisse; Deny, Stéphane; Marre, Olivier; Mora, Thierry
2018
Active inference: a process theory. Zbl 1414.92092
Friston, Karl; FitzGerald, Thomas; Rigoli, Francesco; Schwartenbeck, Philipp; Pezzulo, Giovanni
2017
Deep convolutional neural networks for image classification: a comprehensive review. Zbl 1476.68245
Rawat, Waseem; Wang, Zenghui
2017
Active inference, curiosity and insight. Zbl 1414.91320
Friston, Karl J.; Lin, Marco; Frith, Christopher D.; Pezzulo, Giovanni; Hobson, J. Allan; Ondobaka, Sasha
2017
An approximation of the error backpropagation algorithm in a predictive coding network with local Hebbian synaptic plasticity. Zbl 1414.92058
Whittington, James C. R.; Bogacz, Rafal
2017
Interpretation of the precision matrix and its application in estimating sparse brain connectivity during sleep spindles from human electrocorticography recordings. Zbl 1414.92163
Das, Anup; Sampson, Aaron L.; Lainscsek, Claudia; Muller, Lyle; Lin, Wutu; Doyle, John C.; Cash, Sydney S.; Halgren, Eric; Sejnowski, Terrence J.
2017
Mean first passage memory lifetimes by reducing complex synapses to simple synapses. Zbl 1414.92090
Elliott, Terry
2017
Analysis of online composite mirror descent algorithm. Zbl 1474.68314
Lei, Yunwen; Zhou, Ding-Xuan
2017
Evidence accumulation and change rate inference in dynamic environments. Zbl 1414.91325
2017
The deterministic information bottleneck. Zbl 1478.68082
Strouse, Daniel J.; Schwab, David J.
2017
Sparse covariance matrix estimation by DCA-based algorithms. Zbl 1418.62276
Phan, Duy Nhat; Le Thi, Hoai An; Dinh, Tao Pham
2017
Multistability of delayed recurrent neural networks with Mexican hat activation functions. Zbl 1482.34174
Liu, Peng; Zeng, Zhigang; Wang, Jun
2017
Variational latent Gaussian process for recovering single-trial dynamics from population spike trains. Zbl 1414.92130
Zhao, Yuan; Park, Il Memming
2017
Lag synchronization criteria for memristor-based coupled neural networks via parameter mismatches analysis approach. Zbl 1457.93041
2017
First passage time memory lifetimes for simple, multistate synapses. Zbl 1414.91319
Elliott, Terry
2017
Capturing the dynamical repertoire of single neurons with generalized linear models. Zbl 1414.92126
Weber, Alison I.; Pillow, Jonathan W.
2017
LSV-based tail inequalities for sums of random matrices. Zbl 1478.15052
Zhang, Chao; Du, Lei; Tao, Dacheng
2017
Comparison of different generalizations of clustering coefficient and local efficiency for weighted undirected graphs. Zbl 1414.05136
Wang, Yu; Ghumare, Eshwar; Vandenberghe, Rik; Dupont, Patrick
2017
Block-regularized $$m\times 2$$ cross-validated estimator of the generalization error. Zbl 1474.68277
Wang, Ruibo; Wang, Yu; Li, Jihong; Yang, Xingli; Yang, Jing
2017
STDP-compatible approximation of backpropagation in an energy-based model. Zbl 1414.92007
Bengio, Yoshua; Mesnard, Thomas; Fischer, Asja; Zhang, Saizheng; Wu, Yuhuai
2017
Deep learning with dynamic spiking neurons and fixed feedback weights. Zbl 1474.68303
Samadi, Arash; Lillicrap, Timothy P.; Tweed, Douglas B.
2017
Spike-centered jitter can mistake temporal structure. Zbl 1414.92115
Platkiewicz, Jonathan; Stark, Eran; Amarasingham, Asohan
2017
Avoiding optimal mean $$\ell_{2,1}$$-norm maximization-based robust PCA for reconstruction. Zbl 1418.62245
Luo, Minnan; Nie, Feiping; Chang, Xiaojun; Yang, Yi; Hauptmann, Alexander G.; Zheng, Qinghua
2017
DC algorithm for extended robust support vector machine. Zbl 1474.68251
Fujiwara, Shuhei; Takeda, Akiko; Kanamori, Takafumi
2017
Generalization analysis of Fredholm kernel regularized classifiers. Zbl 1456.68148
Gong, Tieliang; Xu, Zongben; Chen, Hong
2017
Support vector algorithms for optimizing the partial area under the ROC curve. Zbl 1456.68160
Narasimhan, Harikrishna; Agarwal, Shivani
2017
Differential covariance: a new class of methods to estimate sparse connectivity from neural recordings. Zbl 1414.92178
Lin, Tiger W.; Das, Anup; Krishnan, Giri P.; Bazhenov, Maxim; Sejnowski, Terrence J.
2017
Blind nonnegative source separation using biological neural networks. Zbl 1414.92040
Pehlevan, Cengiz; Mohan, Sreyas; Chklovskii, Dmitri B.
2017
Delay differential analysis of seizures in multichannel electrocorticography data. Zbl 1414.92177
Lainscsek, Claudia; Weyhenmeyer, Jonathan; Cash, Sydney S.; Sejnowski, Terrence J.
2017
Nonnegative matrix factorization with rank regularization and hard constraint. Zbl 1419.65007
Shang, Ronghua; Liu, Chiyang; Meng, Yang; Jiao, Licheng; Stolkin, Rustam
2017
The population tracking model: a simple, scalable statistical model for neural population data. Zbl 1414.92112
O&rsquo;Donnell, Cian; Gonçalves, J. Tiago; Whiteley, Nick; Portera-Cailliau, Carlos; Sejnowski, Terrence J.
2017
Fast, accurate localization of epileptic seizure onset zones based on detection of high-frequency oscillations using improved wavelet transform and matching pursuit methods. Zbl 1414.92195
Wu, Min; Wan, Ting; Wan, Xiongbo; Du, Yuxiao; She, Jinhua
2017
Time series decomposition into oscillation components and phase estimation. Zbl 1418.62339
Matsuda, Takeru; Komaki, Fumiyasu
2017
Local and global gestalt laws: a neurally based spectral approach. Zbl 1414.91315
Favali, Marta; Citti, Giovanna; Sarti, Alessandro
2017
On decoding grid cell population codes using approximate belief propagation. Zbl 1414.92059
Yoo, Yongseok; Kim, Woori
2017
Multisensory Bayesian inference depends on synapse maturation during training: theoretical analysis and neural modeling implementation. Zbl 1414.92053
Ursino, Mauro; Cuppini, Cristiano; Magosso, Elisa
2017
Information maximization explains the sparseness of presynaptic neural response. Zbl 1414.92026
Kouh, Minjoon
2017
Evolving network model that almost regenerates epileptic data. Zbl 1414.92033
Manjunath, G.
2017
Maximum pseudolikelihood estimation for model-based clustering of time series data. Zbl 1418.62254
Nguyen, Hien D.; McLachlan, Geoffrey J.; Orban, Pierre; Bellec, Pierre; Janke, Andrew L.
2017
A unified theory of neuro-MRI data shows scale-free nature of connectivity modes. Zbl 1414.92167
Galinsky, Vitaly L.; Frank, Lawrence R.
2017
Nested-clique network model of neural associative memory. Zbl 1414.92034
Mofrad, Asieh Abolpour; Parker, Matthew G.
2017
A weight-adaptive Laplacian embedding for graph-based clustering. Zbl 1461.62093
Cheng, De; Nie, Feiping; Sun, Jiande; Gong, Yihong
2017
Multiview feature analysis via structured sparsity and shared subspace discovery. Zbl 1456.68141
Chang, Yan-Shuo; Nie, Feiping; Wang, Ming-Yu
2017
Analytical derivation of nonlinear spectral effects and 1/f scaling artifact in signal processing of real-world data. Zbl 1470.94046
Lainscsek, Claudia; Muller, Lyle E.; Sampson, Aaron L.; Sejnowski, Terrence J.
2017
Direct estimation of the derivative of quadratic mutual information with application in supervised dimension reduction. Zbl 1461.62081
Tangkaratt, Voot; Sasaki, Hiroaki; Sugiyama, Masashi
2017
Deep restricted kernel machines using conjugate feature duality. Zbl 1456.68178
Suykens, Johan A. K.
2017
Rank selection in nonnegative matrix factorization using minimum description length. Zbl 1418.62226
Squires, Steven; Prügel-Bennett, Adam; Niranjan, Mahesan
2017
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### Cited by 11,698 Authors

 52 Cao, Jinde 44 Sugiyama, Masashi 37 Amari, Shun-ichi 34 Zhou, Dingxuan 28 Suykens, Johan A. K. 27 Huang, Lihong 26 Aihara, Kazuyuki 24 Bressloff, Paul C. 24 Elliott, Terry 23 Friston, Karl J. 23 Kanamori, Takafumi 23 Lánský, Petr 22 Le Thi, Hoai An 22 Sejnowski, Terrence J. 21 Laing, Carlo R. 21 Longtin, André 20 Eguchi, Shinto 20 Kilpatrick, Zachary P. 20 Wu, Qiang 19 Maass, Wolfgang 19 Moehlis, Jeff 19 Murata, Noboru 19 Okada, Masato 19 Paninski, Liam 18 Pan, Linqiang 18 Príncipe, José Carlos 17 Pham Dinh Tao 17 Song, Qiankun 16 Lindner, Benjamin 15 Brown, Emery N. 15 Coifman, Ronald Raphaël 15 Gnecco, Giorgio 15 Hyvärinen, Aapo 15 Josić, Krešimir 15 Thomas, Peter J. 14 Ditlevsen, Susanne 14 Gerstner, Wulfram 14 Hoshino, Osamu 14 Kass, Robert E. 14 Sanguineti, Marcello 14 Watanabe, Sumio 13 Hammer, Barbara 13 Kevrekidis, Ioannis George 13 Pirozzi, Enrica 13 Porr, Bernd 13 Tiňo, Peter 13 Tong, Hongzhi 12 Burkitt, Anthony N. 12 Campbell, Sue Ann 12 Chen, Tianping 12 Chung, Fu-Lai 12 Coombes, Stephen 12 Destexhe, Alain 12 Eden, Uri T. 12 Li, Luoqing 12 Ly, Cheng 12 Singer, Amit 12 Sun, Hongwei 12 Wang, Jun 12 Wilson, Dan D. 12 Wu, Si 12 Zeng, Zhigang 12 Zhang, Jun 11 Ay, Nihat 11 Bogacz, Rafal 11 Chen, Songcan 11 Cichocki, Andrzej 11 Crutchfield, James P. 11 Diesmann, Markus 11 Giannakis, Dimitrios 11 Guo, Zheng-Chu 11 Hino, Hideitsu 11 Kim, Yongdai 11 Koyama, Shinsuke 11 Lin, Chih-Jen 11 Nakahara, Hiroyuki 11 Pipa, Gordon 11 Rotter, Stefan 11 Shinomoto, Shigeru 11 Stanimirović, Predrag S. 11 Wang, Jun 10 Bachoc, François 10 Bengio, Yoshua 10 Dayan, Peter 10 Douglas, Rodney J. 10 Ermentrout, Bard G. 10 Faugeras, Olivier D. 10 Fusi, Stefano 10 Huerta, Ramón 10 Kopell, Nancy J. 10 Masuda, Naoki 10 Peng, Hong 10 Priebe, Carey E. 10 Sacerdote, Laura 10 Sarti, Alessandro 10 Senn, Walter 10 Šíma, Jiří 10 Suzuki, Taiji 10 Takeda, Akiko 10 Takenouchi, Takashi ...and 11,598 more Authors
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### Cited in 525 Journals

 1,386 Neural Computation 386 Neural Networks 257 Journal of Computational Neuroscience 249 Biological Cybernetics 191 Pattern Recognition 147 Machine Learning 129 Chaos 101 Information Sciences 85 Computational Statistics and Data Analysis 80 Journal of Mathematical Psychology 78 Applied and Computational Harmonic Analysis 77 Physica D 71 Applied Mathematics and Computation 70 Journal of Machine Learning Research (JMLR) 63 The Journal of Mathematical Neuroscience 62 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 55 Mathematical Problems in Engineering 50 Chaos, Solitons and Fractals 45 Theoretical Computer Science 45 SIAM Journal on Applied Dynamical Systems 42 International Journal of Computer Vision 41 Physica A 40 Journal of the Franklin Institute 40 Entropy 40 Journal of Theoretical Biology 37 European Journal of Operational Research 37 Data Mining and Knowledge Discovery 36 Automatica 36 Statistics and Computing 35 Journal of Computational and Applied Mathematics 34 Journal of Mathematical Biology 34 The Annals of Statistics 33 Communications in Nonlinear Science and Numerical Simulation 33 International Journal of Wavelets, Multiresolution and Information Processing 33 Mathematical Biosciences and Engineering 32 Journal of Statistical Physics 32 Nonlinear Dynamics 29 The Annals of Applied Statistics 27 Journal of Mathematical Imaging and Vision 27 Electronic Journal of Statistics 26 Analysis and Applications (Singapore) 26 Journal of Statistical Mechanics: Theory and Experiment 25 Soft Computing 24 Journal of Computational Physics 24 Journal of Multivariate Analysis 24 International Journal of Approximate Reasoning 24 Signal Processing 24 Advances in Data Analysis and Classification. ADAC 23 Computational Optimization and Applications 23 Computational & Mathematical Methods in Medicine 22 Computers & Mathematics with Applications 22 Computational Statistics 22 EURASIP Journal on Advances in Signal Processing 21 Fuzzy Sets and Systems 21 Circuits, Systems, and Signal Processing 21 Journal of Global Optimization 21 SIAM Journal on Scientific Computing 20 Journal of Statistical Planning and Inference 20 Advances in Computational Mathematics 20 SIAM Journal on Imaging Sciences 19 Computer Methods in Applied Mechanics and Engineering 19 Bulletin of Mathematical Biology 19 Abstract and Applied Analysis 19 Optimization Methods & Software 19 Discrete Dynamics in Nature and Society 19 Nonlinear Analysis. Real World Applications 18 Proceedings of the National Academy of Sciences of the United States of America 18 SIAM Journal on Mathematics of Data Science 17 Mathematical Biosciences 17 Communications in Statistics. Theory and Methods 17 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 17 Advances in Difference Equations 16 Artificial Intelligence 16 Applied Mathematical Modelling 16 Journal of Statistical Computation and Simulation 16 Journal of Nonlinear Science 15 Journal of Complexity 14 Annals of the Institute of Statistical Mathematics 14 Statistical Science 14 Complexity 14 PAA. Pattern Analysis and Applications 14 Natural Computing 14 Statistical Analysis and Data Mining 14 Algorithms 13 Journal of Classification 13 Foundations of Computational Mathematics 12 Physics Letters. A 12 Journal of Optimization Theory and Applications 12 Annals of Operations Research 12 Linear Algebra and its Applications 12 Annals of Mathematics and Artificial Intelligence 12 Probability in the Engineering and Informational Sciences 12 Journal of Computational and Graphical Statistics 11 Psychometrika 11 Statistics & Probability Letters 11 International Journal of Computer Mathematics 11 Mathematical Programming. Series A. Series B 11 Bernoulli 11 Optimization Letters 11 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences ...and 425 more Journals
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### Cited in 60 Fields

 2,547 Computer science (68-XX) 2,382 Biology and other natural sciences (92-XX) 1,811 Statistics (62-XX) 628 Numerical analysis (65-XX) 499 Information and communication theory, circuits (94-XX) 477 Probability theory and stochastic processes (60-XX) 473 Operations research, mathematical programming (90-XX) 440 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 431 Ordinary differential equations (34-XX) 424 Systems theory; control (93-XX) 347 Dynamical systems and ergodic theory (37-XX) 153 Partial differential equations (35-XX) 144 Linear and multilinear algebra; matrix theory (15-XX) 144 Statistical mechanics, structure of matter (82-XX) 121 Combinatorics (05-XX) 97 Calculus of variations and optimal control; optimization (49-XX) 72 Approximations and expansions (41-XX) 71 Functional analysis (46-XX) 64 Operator theory (47-XX) 52 Differential geometry (53-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 44 Integral equations (45-XX) 40 Global analysis, analysis on manifolds (58-XX) 32 Fluid mechanics (76-XX) 31 Quantum theory (81-XX) 29 Mechanics of deformable solids (74-XX) 28 Mechanics of particles and systems (70-XX) 28 Geophysics (86-XX) 19 Algebraic topology (55-XX) 17 Difference and functional equations (39-XX) 15 Real functions (26-XX) 15 Convex and discrete geometry (52-XX) 13 General and overarching topics; collections (00-XX) 13 Optics, electromagnetic theory (78-XX) 10 Manifolds and cell complexes (57-XX) 9 Algebraic geometry (14-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 History and biography (01-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Measure and integration (28-XX) 7 General topology (54-XX) 5 Mathematical logic and foundations (03-XX) 5 Group theory and generalizations (20-XX) 5 Functions of a complex variable (30-XX) 5 Integral transforms, operational calculus (44-XX) 5 Relativity and gravitational theory (83-XX) 4 Topological groups, Lie groups (22-XX) 4 Potential theory (31-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Geometry (51-XX) 4 Astronomy and astrophysics (85-XX) 3 Special functions (33-XX) 2 Associative rings and algebras (16-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Abstract harmonic analysis (43-XX) 1 Mathematics education (97-XX)