# zbMATH — the first resource for mathematics

## 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: 2,108 Publications (since 1994) References Indexed: 2,088 Publications with 76,711 References.
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#### Authors

 35 Amari, Shun-ichi 28 Sugiyama, Masashi 25 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 11 Brown, Emery N. 11 Eguchi, Shinto 11 Hyvärinen, Aapo 11 Kanamori, Takafumi 11 Paninski, Liam 10 Chen, Tianping 10 Diesmann, Markus 10 Douglas, Rodney J. 10 Eden, Uri T. 10 Friston, Karl J. 10 Gerstner, Wulfram 10 Nakahara, Hiroyuki 10 Tiňo, Peter 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 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 Van Hulle, Marc M. 8 van Rossum, Mark C. W. 8 Wiskott, Laurenz 8 Wörgötter, Florentin 7 Destexhe, Alain 7 Eliasmith, Chris 7 Goodhill, Geoffrey J. 7 Herz, Andreas V. M. 7 Kawanabe, Motoaki 7 Miller, David John 7 Samengo, Inés 7 Senn, Walter 7 Šíma, Jiří 7 Takenouchi, Takashi 7 Takeuchi, Ichiro 6 Abarbanel, Henry D. I. 6 Aoyagi, Toshio 6 Becker, Suzanna 6 Bogacz, Rafal 6 Chen, Zhe 6 Fiori, Simone 6 Fusi, Stefano 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 Müller, Klaus-Robert 6 Nie, Feiping 6 Pan, Linqiang 6 Panzeri, Stefano 6 Pillow, Jonathan W. 6 Rotter, Stefan 6 Schmidhuber, Jürgen 6 Schrauwen, Benjamin 6 Seung, H. Sebastian 6 Simoncelli, Eero P. 6 Slotine, Jean-Jacques E. 6 Sompolinsky, Haim 6 Suzuki, Taiji 6 Tiesinga, Paul H. E. 6 Toyoizumi, Taro 6 Xia, Youshen 6 Yamada, Makoto 5 Banerjee, Arunava 5 Baram, Yoram 5 Barbieri, Riccardo 5 Berger, Theodore W. 5 Burkitt, Anthony N. 5 Burwick, Thomas T. 5 Chklovskii, Dmitri B. ...and 3,420 more Authors
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#### Fields

 1,098 Biology and other natural sciences (92-XX) 962 Computer science (68-XX) 338 Statistics (62-XX) 181 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 109 Probability theory and stochastic processes (60-XX) 108 Numerical analysis (65-XX) 94 Information and communication theory, circuits (94-XX) 57 Systems theory; control (93-XX) 47 Dynamical systems and ergodic theory (37-XX) 35 Operations research, mathematical programming (90-XX) 20 Combinatorics (05-XX) 18 Ordinary differential equations (34-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Partial differential equations (35-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Functional analysis (46-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-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 Approximations and expansions (41-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

1,370 Publications have been cited 10,129 times in 6,114 Documents Cited by Year
Laplacian eigenmaps for dimensionality reduction and data representation. Zbl 1085.68119
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2003
A fast learning algorithm for deep belief nets. Zbl 1106.68094
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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
On the phase reduction and response dynamics of neural oscillator population. Zbl 1054.92006
Brown, Eric; Moehlis, Jeff; Holmes, Philip
2004
Projected gradient methods for nonnegative matrix factorization. Zbl 1173.90583
Lin, Chih-Jen
2007
The concave-convex procedure. Zbl 1022.68112
Yuille, A. L.; Rangarajan, Anand
2003
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
Estimation of entropy and mutual information. Zbl 1052.62003
Paninski, Liam
2003
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
Canonical correlation analysis: An overview with application to learning methods. Zbl 1062.68134
Hardoon, David R.; Szedmak, Sandor; Shawe-Taylor, John
2004
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
Asymptotic behaviors of support vector machines with Gaussian kernel. Zbl 1086.68569
Keerthi, S. Sathiya; Lin, Chih-Jen
2003
Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Zbl 1085.68615
Börgers, Christoph; Kopell, Nancy
2003
Stationary bumps in networks of spiking neurons. Zbl 0978.92004
Laing, Carlo R.; Chow, Carson C.
2001
Memorization and association on a realistic neural model. Zbl 1089.68612
Valiant, Leslie G.
2005
SVM soft margin classifiers: linear programming versus quadratic programming. Zbl 1108.90324
Wu, Qiang; Zhou, Ding-Xuan
2005
Slow feature analysis: Unsupervised learning of invariances. Zbl 0994.68591
Wiskott, Laurenz; Sejnowski, Terrence J.
2002
The diffusion decision model: Theory and data for two-choice decision tasks. Zbl 1147.68720
Ratcliff, Roger; McKoon, Gail
2008
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
On learning vector-valued functions. Zbl 1092.93045
Micchelli, Charles A.; Pontil, Massimiliano
2005
A spike-train probability model. Zbl 0985.92017
Kass, Robert E.; Ventura, Valérie
2001
Predictability, complexity, and learning. Zbl 0993.68045
Bialek, William; Nemenman, Ilya; Tishby, Naftali
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
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
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
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
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
Relating STDP to BCM. Zbl 1109.92307
Izhikevich, Eugene M.; Desai, Niraj S.
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
Information geometry of $$U$$-Boost and Bregman divergence. Zbl 1102.68489
Murata, Noboru; Takenouchi, Takashi; Kanamori, Takafumi; Eguchi, Shinto
2004
Real-time computation at the edge of chaos in recurrent neural networks. Zbl 1102.68530
Bertschinger, Nils; Natschläger, Thomas
2004
Estimating a state-space model from point process observations. Zbl 1085.68651
Smith, Anne C.; Brown, Emery N.
2003
A novel spike distance. Zbl 0979.92011
van Rossum, M. C. W.
2001
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
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
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1994
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
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
Sparse on-line Gaussian processes. Zbl 0987.62060
Csató, Lehel; Opper, Manfred
2002
Nonnegative matrix factorization with the Itakura-Saito divergence: With application to music analysis. Zbl 1156.94306
Févotte, Cédric; Bertin, Nancy; Durrieu, Jean-Louis
2009
Robust blind source separation by beta divergence. Zbl 1019.94506
Mihoko, Minami; Eguchi, Shinto
2002
A sequential learning scheme for function approximation using minimal radial basis function neural networks. Zbl 1067.68586
Lu, Yingwei; Sundararajan, N.; Saratchandran, P.
1997
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
Higher-order statistics of input ensembles and the response of simple model neurons. Zbl 1026.92011
Kuhn, Alexandre; Aertsen, Ad; Rotter, Stefan
2003
Correctness of belief propagation in Gaussian graphical models of arbitrary topology. Zbl 0992.68055
Weiss, Yair; Freeman, William T.
2001
Dynamical behaviors of a large class of general delayed neural networks. Zbl 1080.68615
Chen, Tianping; Lu, Wenlian; Chen, Guangrong
2005
Leave-one-out bounds for kernel methods. Zbl 1085.68144
Zhang, Tong
2003
Systematic fluctuation expansion for neural network activity equations. Zbl 1183.92013
Buice, Michael A.; Cowan, Jack D.; Chow, Carson C.
2010
An efficient learning procedure for deep Boltzmann machines. Zbl 1247.68223
Salakhutdinov, Ruslan; Hinton, Geoffrey
2012
Population coding and decoding in a neural field: A computational study. Zbl 0994.92011
Wu, Si; Amari, Shun-ichi; Nakahara, Hiroyuki
2002
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
Spectral algorithms for supervised learning. Zbl 1147.68643
Lo Gerfo, L.; Rosasco, L.; Odone, F.; de Vito, E.; Verri, A.
2008
Stability-based validation of clustering solutions. Zbl 1089.68100
Lange, Tilman; Roth, Volker; Braun, Mikio L.; Buhmann, Joachim M.
2004
Information processing in dendritic trees. Zbl 0810.92007
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1994
Integrate-and-fire neurons driven by correlated stochastic input. Zbl 1011.92016
Salinas, Emilio; Sejnowski, Terrence J.
2002
Asynchronous states and the emergence of synchrony in large networks of interacting excitatory and inhibitory neurons. Zbl 1031.68098
Hansel, D.; Mato, G.
2003
Resampling method for unsupervised estimation of cluster validity. Zbl 0993.68113
Levine, Erel; Domany, Eytan
2001
Stochastic optimal control and estimation methods adapted to the noise characteristics of the sensorimotor system. Zbl 1108.93082
Todorov, Emanuel
2005
Statistical inference, Occam’s razor, and statistical mechanics on the space of probability distributions. Zbl 0870.62006
Balasubramanian, Vijay
1997
Rate models for conductance-based cortical neuronal networks. Zbl 1054.92019
Shriki, Oren; Hansel, David; Sompolinsky, Haim
2003
Divergence function, duality, and convex analysis. Zbl 1082.62005
Zhang, Jun
2004
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
Bayesian computation in recurrent neural circuits. Zbl 1090.68090
Rao, Rajesh P. N.
2004
Multiperiodicity and exponential attractivity evoked by periodic external inputs in delayed cellular neural networks. Zbl 1107.68086
Zeng, Zhigang; Wang, Jun
2006
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
Patterns of synchrony in neural networks with spike adaptation. Zbl 1004.92011
van Vreeswijk, C.; Hansel, D.
2001
Intrinsic stabilization of output rates by spike-based Hebbian learning. Zbl 0996.92001
Kempter, Richard; Gerstner, Wulfram; van Hemmen, J. Leo
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
General-purpose computation with neural networks: a survey of complexity theoretic results. Zbl 1097.68589
Šíma, Jiří; Orponen, Pekka
2003
Synchronous firing and higher-order interactions in neuron pool. Zbl 1028.92007
Amari, Shun-ichi; Nakahara, Hiroyuki; Wu, Si; Sakai, Yutaka
2003
Unitary events in multiple single-neuron spiking activity: II. Nonstationary data. Zbl 1005.92006
Grün, Sonja; Diesmann, Markus; Aertsen, Ad
2002
Representational power of restricted Boltzmann machines and deep belief networks. Zbl 1140.68057
Le Roux, Nicolas; Bengio, Yoshua
2008
Bayesian spiking neurons. I: Inference. Zbl 1148.92004
Deneve, Sophie
2008
Algorithms for nonnegative matrix factorization with the $$\beta$$-divergence. Zbl 1231.65072
Févotte, Cédric; Idier, Jérôme
2011
Dynamical stability conditions for recurrent neural networks with unsaturating piecewise linear transfer functions. Zbl 1009.92003
Wersing, Heiko; Beyn, Wolf-Jürgen; Ritter, Helge
2001
A method for selecting the bin size of a time histogram. Zbl 1115.92014
Shimazaki, Hideaki; Shinomoto, Shigeru
2007
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
Synaptic shot noise and conductance fluctuations affect the membrane voltage with equal significance. Zbl 1076.92014
Richardson, Magnus J. E.; Gerstner, Wulfram
2005
Spiking neural P systems with weights. Zbl 1208.68120
Wang, Jun; Hoogeboom, Hendrik Jan; Pan, Linqiang; Păun, Gheorghe; Pérez-Jiménez, Mario J.
2010
Minimal models of adapted neuronal response to in vito-like input currents. Zbl 1055.92011
La Camera, Giancarlo; Rauch, Alexander; Lüscher, Hans-R.; Senn, Walter; Fusi, Stefano
2004
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
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
Interspike interval correlations, memory, adaptation, and refractoriness in a leaky integrate-and-fire model with threshold fatigue. Zbl 1020.92007
Chacron, Maurice J.; Pakdaman, Khashayar; Longtin, André
2003
Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Zbl 1059.92008
Börgers, Christoph; Kopell, Nancy
2005
Differences in spiking patterns among cortical neurons. Zbl 1052.92020
Shinomoto, Shigeru; Shima, Keisetsu; Tanji, Jun
2003
Orthogonality of decision boundaries in complex-valued neural networks. Zbl 1084.68105
Nitta, Tohru
2004
Persistent neural states: stationary localized activity patterns in nonlinear continuous n-population, q-dimensional neural networks. Zbl 1161.92007
Faugeras, Olivier; Veltz, Romain; Grimbert, François
2009
Exact subthreshold integration with continuous spike times in discrete-time neural network simulations. Zbl 1116.92016
Morrison, Abigail; Straube, Sirko; Plesser, Hans Ekkehard; Diesmann, Markus
2007
Representational accuracy of stochastic neural populations. Zbl 0988.92010
Wilke, Stefan D.; Eurich, Christian W.
2002
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
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
Model-free robust optimal feedback mechanisms of biological motor control. Zbl 1450.92020
Bian, Tao; Wolpert, Daniel M.; Jiang, Zhong-Ping
2020
Classification from triplet comparison data. Zbl 1468.68150
Cui, Zhenghang; Charoenphakdee, Nontawat; Sato, Issei; Sugiyama, Masashi
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
A novel predictive-coding-inspired variational RNN model for online prediction and recognition. Zbl 1452.68145
2019
A review of recurrent neural networks: LSTM cells and network architectures. Zbl 07164882
Yu, Yong; Si, Xiaosheng; Hu, Changhua; Zhang, Jianxun
2019
Effect of depth and width on local minima in deep learning. Zbl 07164889
Kawaguchi, Kenji; Huang, Jiaoyang; Kaelbling, Leslie Pack
2019
When not to classify: anomaly detection of attacks (ADA) on DNN classifiers at test time. Zbl 07164894
Miller, David; Wang, Yujia; Kesidis, George
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
Active inference: a process theory. Zbl 1414.92092
Friston, Karl; FitzGerald, Thomas; Rigoli, Francesco; Schwartenbeck, Philipp; Pezzulo, Giovanni
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
Mean first passage memory lifetimes by reducing complex synapses to simple synapses. Zbl 1414.92090
Elliott, Terry
2017
Evidence accumulation and change rate inference in dynamic environments. Zbl 1414.91325
2017
The deterministic information bottleneck. Zbl 07063237
Strouse, DJ; Schwab, David J.
2017
Deep convolutional neural networks for image classification: a comprehensive review. Zbl 07066740
Rawat, Waseem; Wang, Zenghui
2017
Multistability of delayed recurrent neural networks with Mexican hat activation functions. Zbl 07063197
Liu, Peng; Zeng, Zhigang; Wang, Jun
2017
Analysis of online composite mirror descent algorithm. Zbl 07063211
Lei, Yunwen; Zhou, Ding-Xuan
2017
Variational latent Gaussian process for recovering single-trial dynamics from population spike trains. Zbl 1414.92130
Zhao, Yuan; Park, Il Memming
2017
Capturing the dynamical repertoire of single neurons with generalized linear models. Zbl 1414.92126
Weber, Alison I.; Pillow, Jonathan W.
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
Deep learning with dynamic spiking neurons and fixed feedback weights. Zbl 07063203
Samadi, Arash; Lillicrap, Timothy P.; Tweed, Douglas B.
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
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
Lag synchronization criteria for memristor-based coupled neural networks via parameter mismatches analysis approach. Zbl 1457.93041
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
Sparse covariance matrix estimation by DCA-based algorithms. Zbl 1418.62276
Phan, Duy Nhat; Le Thi, Hoai An; Dinh, Tao Pham
2017
Delay differential analysis of seizures in multichannel electrocorticography data. Zbl 1414.92177
Lainscsek, Claudia; Weyhenmeyer, Jonathan; Cash, Sydney S.; Sejnowski, Terrence J.
2017
First passage time memory lifetimes for simple, multistate synapses. Zbl 1414.91319
Elliott, Terry
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
LSV-based tail inequalities for sums of random matrices. Zbl 07063190
Zhang, Chao; Du, Lei; Tao, Dacheng
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
Block-regularized $$m\times 2$$ cross-validated estimator of the generalization error. Zbl 07063201
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
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
Spike-centered jitter can mistake temporal structure. Zbl 1414.92115
Platkiewicz, Jonathan; Stark, Eran; Amarasingham, Asohan
2017
Information maximization explains the sparseness of presynaptic neural response. Zbl 1414.92026
Kouh, Minjoon
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
DC algorithm for extended robust support vector machine. Zbl 07063232
Fujiwara, Shuhei; Takeda, Akiko; Kanamori, Takafumi
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
Generalization analysis of Fredholm kernel regularized classifiers. Zbl 1456.68148
Gong, Tieliang; Xu, Zongben; Chen, Hong
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
GP-select: accelerating EM using adaptive subspace preselection. Zbl 1456.68166
Shelton, Jacquelyn A.; Gasthaus, Jan; Dai, Zhenwen; Lücke, Jörg; Gretton, Arthur
2017
LQG online learning. Zbl 1456.68147
Gnecco, Giorgio; Bemporad, Alberto; Gori, Marco; Sanguineti, Marcello
2017
Memory states and transitions between them in attractor neural networks. Zbl 1414.92044
Recanatesi, Stefano; Katkov, Mikhail; Tsodyks, Misha
2017
Toward an open-ended BCI: a user-centered coadaptive design. Zbl 1414.92164
Dhindsa, Kiret; Carcone, Dean; Becker, Suzanna
2017
Nonconvex policy search using variational inequalities. Zbl 1456.68173
Zhan, Yusen; Ammar, Haitham Bou; Taylor, Matthew E.
2017
Noise-robust modes of the retinal population code have the geometry of “ridges” and correspond to neuronal communities. Zbl 1414.92030
Loback, Adrianna; Prentice, Jason; Ioffe, Mark; Ii, Michael Berry
2017
Dopamine, inference, and uncertainty. Zbl 1414.92095
Gershman, Samuel J.
2017
Learning rates for classification with Gaussian kernels. Zbl 1456.68155
Lin, Shao-Bo; Zeng, Jinshan; Chang, Xiangyu
2017
Online pairwise learning algorithms. Zbl 07062540
Ying, Yiming; Zhou, Ding-Xuan
2016
Exponential stability of almost periodic solutions for memristor-based neural networks with distributed leakage delays. Zbl 07062803
Xu, Changjin; Li, Peiluan; Pang, Yicheng
2016
Kernelized elastic net regularization: generalization bounds, and sparse recovery. Zbl 07062531
Feng, Yunlong; Lv, Shao-Gao; Hang, Hanyuan; Suykens, Johan A. K.
2016
Sampled-data state feedback stabilization of Boolean control networks. Zbl 1414.93153
Liu, Yang; Cao, Jinde; Sun, Liangjie; Lu, Jianquan
2016
Complex neural network models for time-varying Drazin inverse. Zbl 07062805
Wang, Xue-Zhong; Wei, Yimin; Stanimirović, Predrag S.
2016
Recurrent neural network for computing outer inverse. Zbl 07062549
Živković, Ivan S.; Stanimirović, Predrag S.; Wei, Yimin
2016
The enhanced rise and delayed fall of memory in a model of synaptic integration: extension to discrete state synapses. Zbl 1414.91318
Elliott, Terry
2016
Variations on the theme of synaptic filtering: a comparison of integrate-and-express models of synaptic plasticity for memory lifetimes. Zbl 1414.92089
Elliott, Terry
2016
Efficient associative computation with discrete synapses. Zbl 07062518
Knoblauch, Andreas
2016
Pattern completion in symmetric threshold-linear networks. Zbl 1414.92013
Curto, Carina; Morrison, Katherine
2016
Global exponential stability of Cohen-Grossberg neural networks with piecewise constant argument of generalized type and impulses. Zbl 07062521
Xi, Qiang
2016
Mutual information, Fisher information, and efficient coding. Zbl 1414.92056
Wei, Xue-Xin; Stocker, Alan A.
2016
Filtering with state-observation examples via kernel Monte Carlo filter. Zbl 1418.62361
Kanagawa, Motonobu; Nishiyama, Yu; Gretton, Arthur; Fukumizu, Kenji
2016
Theoretical and experimental analyses of tensor-based regression and classification. Zbl 1418.62259
Wimalawarne, Kishan; Tomioka, Ryota; Sugiyama, Masashi
2016
Feature selection for ridge regression with provable guarantees. Zbl 1418.62275
Paul, Saurabh; Drineas, Petros
2016
State-space analysis of Granger-Geweke causality measures with application to fMRI. Zbl 1414.92188
Solo, Victor
2016
Robust support vector machines for classification with nonconvex and smooth losses. Zbl 07062558
Feng, Yunlong; Yang, Yuning; Huang, Xiaolin; Mehrkanoon, Siamak; Suykens, Johan A. K.
2016
Learning visual spatial pooling by strong PCA dimension reduction. Zbl 1414.92099
Hosoya, Haruo; Hyvärinen, Aapo
2016
A single hidden layer feedforward network with only one neuron in the hidden layer can approximate any univariate function. Zbl 07062758
Guliyev, Namig J.; Ismailov, Vugar E.
2016
Yamane, Ikko; Sasaki, Hiroaki; Sugiyama, Masashi
2016
Clique-based neural associative memories with local coding and precoding. Zbl 07062767
2016
Dynamic multiscale modes of resting state brain activity detected by entropy field decomposition. Zbl 1414.92165
Frank, Lawrence R.; Galinsky, Vitaly L.
2016
Active inference and learning in the cerebellum. Zbl 1414.92017
Friston, Karl; Herreros, Ivan
2016
Presynaptic spontaneous activity enhances the accuracy of latency coding. Zbl 1414.92105
Levakova, Marie; Tamborrino, Massimiliano; Kostal, Lubomir; Lansky, Petr
2016
Derivation of human chromatic discrimination ability from an information-theoretical notion of distance in color space. Zbl 1414.92085
da Fonseca, María; Samengo, Inés
2016
Efficient neural codes that minimize $$L_p$$ reconstruction error. Zbl 1414.92125
Wang, Zhuo; Stocker, Alan A.; Lee, Daniel D.
2016
Learning theory estimates with observations from general stationary stochastic processes. Zbl 07062807
Hang, Hanyuan; Feng, Yunlong; Steinwart, Ingo; Suykens, Johan A. K.
2016
Neural network spectral robustness under perturbations of the underlying graph. Zbl 1414.92043
Rădulescu, Anca
2016
A note on support vector machines with polynomial kernels. Zbl 07062516
Tong, Hongzhi
2016
An empirical overview of the no free lunch theorem and its effect on real-world machine learning classification. Zbl 1454.68121
Gómez, David; Rojas, Alfonso
2016
A block successive lower-bound maximization algorithm for the maximum pseudo-likelihood estimation of fully visible Boltzmann machines. Zbl 07062529
Nguyen, Hien D.; Wood, Ian A.
2016
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#### Cited by 10,550 Authors

 53 Cao, Jinde 44 Sugiyama, Masashi 34 Amari, Shun-ichi 32 Zhou, Dingxuan 27 Huang, Lihong 26 Aihara, Kazuyuki 25 Suykens, Johan A. K. 23 Bressloff, Paul C. 23 Elliott, Terry 23 Kanamori, Takafumi 23 Lánský, Petr 21 Friston, Karl J. 21 Laing, Carlo R. 21 Sejnowski, Terrence J. 20 Eguchi, Shinto 20 Kilpatrick, Zachary P. 20 Longtin, André 19 Maass, Wolfgang 19 Moehlis, Jeff 19 Okada, Masato 19 Paninski, Liam 18 Le Thi, Hoai An 18 Murata, Noboru 18 Pan, Linqiang 18 Príncipe, José Carlos 17 Song, Qiankun 17 Wu, Qiang 16 Pham Dinh Tao 15 Brown, Emery N. 15 Josić, Krešimir 14 Coifman, Ronald Raphaël 14 Ditlevsen, Susanne 14 Gerstner, Wulfram 14 Gnecco, Giorgio 14 Hyvärinen, Aapo 14 Kass, Robert E. 14 Lindner, Benjamin 14 Sanguineti, Marcello 13 Hammer, Barbara 13 Hoshino, Osamu 13 Porr, Bernd 13 Thomas, Peter J. 13 Tiňo, Peter 12 Burkitt, Anthony N. 12 Chen, Tianping 12 Chung, Fu-Lai 12 Destexhe, Alain 12 Eden, Uri T. 12 Kevrekidis, Ioannis George 12 Li, Luoqing 12 Pirozzi, Enrica 12 Singer, Amit 12 Sun, Hongwei 12 Wang, Jun 12 Watanabe, Sumio 12 Wilson, Dan D. 12 Wu, Si 12 Zeng, Zhigang 11 Ay, Nihat 11 Bogacz, Rafal 11 Campbell, Sue Ann 11 Chen, Songcan 11 Cichocki, Andrzej 11 Coombes, Stephen 11 Crutchfield, James P. 11 Diesmann, Markus 11 Fusi, Stefano 11 Giannakis, Dimitrios 11 Guo, Zheng-Chu 11 Hino, Hideitsu 11 Koyama, Shinsuke 11 Lin, Chih-Jen 11 Ly, Cheng 11 Nakahara, Hiroyuki 11 Pipa, Gordon 11 Rotter, Stefan 11 Shinomoto, Shigeru 11 Tong, Hongzhi 10 Bengio, Yoshua 10 Dayan, Peter 10 Douglas, Rodney J. 10 Ermentrout, Bard G. 10 Huerta, Ramón 10 Kim, Yongdai 10 Kopell, Nancy J. 10 Masuda, Naoki 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 10 van Hemmen, J. Leo 10 Wang, Shitong 10 Wiskott, Laurenz 10 Wörgötter, Florentin 9 Bachoc, François 9 Cai, Zuowei ...and 10,450 more Authors
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#### Cited in 480 Journals

 1,383 Neural Computation 374 Neural Networks 245 Journal of Computational Neuroscience 231 Biological Cybernetics 191 Pattern Recognition 131 Machine Learning 129 Chaos 86 Information Sciences 83 Computational Statistics and Data Analysis 72 Applied and Computational Harmonic Analysis 71 Journal of Mathematical Psychology 65 Applied Mathematics and Computation 65 Physica D 63 Journal of Machine Learning Research (JMLR) 63 The Journal of Mathematical Neuroscience 58 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 55 Mathematical Problems in Engineering 41 Theoretical Computer Science 40 Entropy 40 SIAM Journal on Applied Dynamical Systems 37 Journal of the Franklin Institute 34 Journal of Computational and Applied Mathematics 34 European Journal of Operational Research 34 Journal of Theoretical Biology 33 Chaos, Solitons and Fractals 32 Journal of Mathematical Biology 32 The Annals of Statistics 32 Nonlinear Dynamics 31 Data Mining and Knowledge Discovery 30 Journal of Statistical Physics 30 Automatica 30 International Journal of Computer Vision 30 Mathematical Biosciences and Engineering 28 International Journal of Wavelets, Multiresolution and Information Processing 26 Electronic Journal of Statistics 26 The Annals of Applied Statistics 26 Statistics and Computing 25 Communications in Nonlinear Science and Numerical Simulation 24 Signal Processing 24 Soft Computing 23 Journal of Multivariate Analysis 23 Journal of Mathematical Imaging and Vision 23 Computational & Mathematical Methods in Medicine 22 Computers & Mathematics with Applications 22 Computational Optimization and Applications 22 Analysis and Applications (Singapore) 22 EURASIP Journal on Advances in Signal Processing 21 Fuzzy Sets and Systems 21 Circuits, Systems, and Signal Processing 21 Computational Statistics 21 Journal of Statistical Mechanics: Theory and Experiment 21 Advances in Data Analysis and Classification. ADAC 20 International Journal of Approximate Reasoning 19 Journal of Statistical Planning and Inference 19 Journal of Global Optimization 19 Advances in Computational Mathematics 19 Abstract and Applied Analysis 19 Optimization Methods & Software 19 Nonlinear Analysis. Real World Applications 18 Bulletin of Mathematical Biology 18 SIAM Journal on Imaging Sciences 17 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 17 Discrete Dynamics in Nature and Society 16 Journal of Computational Physics 16 Mathematical Biosciences 16 Applied Mathematical Modelling 16 Advances in Difference Equations 15 Physica A 15 Journal of Complexity 14 Artificial Intelligence 14 SIAM Journal on Scientific Computing 14 Complexity 14 PAA. Pattern Analysis and Applications 14 Statistical Analysis and Data Mining 14 Algorithms 13 Computer Methods in Applied Mechanics and Engineering 13 Annals of the Institute of Statistical Mathematics 13 Journal of Nonlinear Science 13 Natural Computing 12 Journal of Optimization Theory and Applications 12 Journal of Statistical Computation and Simulation 12 Foundations of Computational Mathematics 11 Physics Letters. A 11 Statistics & Probability Letters 11 Linear Algebra and its Applications 11 Mathematical Programming. Series A. Series B 11 Probability in the Engineering and Informational Sciences 10 Journal of the American Statistical Association 10 Journal of Classification 10 Statistical Science 10 Communications in Statistics. Theory and Methods 10 Annals of Mathematics and Artificial Intelligence 10 Optimization Letters 9 Journal of Mathematical Analysis and Applications 9 Journal of Computer and System Sciences 9 New Generation Computing 9 SIAM Journal on Applied Mathematics 9 Bernoulli 9 International Journal of Applied Mathematics and Computer Science 9 Discrete and Continuous Dynamical Systems. Series B ...and 380 more Journals
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#### Cited in 60 Fields

 2,349 Computer science (68-XX) 2,247 Biology and other natural sciences (92-XX) 1,547 Statistics (62-XX) 548 Numerical analysis (65-XX) 456 Information and communication theory, circuits (94-XX) 431 Probability theory and stochastic processes (60-XX) 401 Operations research, mathematical programming (90-XX) 391 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 390 Systems theory; control (93-XX) 389 Ordinary differential equations (34-XX) 321 Dynamical systems and ergodic theory (37-XX) 131 Partial differential equations (35-XX) 117 Linear and multilinear algebra; matrix theory (15-XX) 103 Combinatorics (05-XX) 103 Statistical mechanics, structure of matter (82-XX) 79 Calculus of variations and optimal control; optimization (49-XX) 60 Functional analysis (46-XX) 58 Approximations and expansions (41-XX) 55 Operator theory (47-XX) 44 Differential geometry (53-XX) 40 Integral equations (45-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 33 Global analysis, analysis on manifolds (58-XX) 30 Fluid mechanics (76-XX) 27 Mechanics of deformable solids (74-XX) 26 Mechanics of particles and systems (70-XX) 26 Quantum theory (81-XX) 22 Geophysics (86-XX) 15 Difference and functional equations (39-XX) 14 Convex and discrete geometry (52-XX) 13 Algebraic topology (55-XX) 12 General and overarching topics; collections (00-XX) 12 Real functions (26-XX) 11 Manifolds and cell complexes (57-XX) 11 Optics, electromagnetic theory (78-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 7 History and biography (01-XX) 7 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) 7 Measure and integration (28-XX) 6 General topology (54-XX) 6 Classical thermodynamics, heat transfer (80-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) 4 Potential theory (31-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Astronomy and astrophysics (85-XX) 3 Special functions (33-XX) 3 Geometry (51-XX) 3 Relativity and gravitational theory (83-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)