Synchronized firings in the networks of class 1 excitable neurons with excitatory and inhibitory connections and their dependences on the forms of interactions.

Abstract:

:Synchronized firings in the networks of class 1 excitable neurons with excitatory and inhibitory connections are investigated, and their dependences on the forms of interactions are analyzed. As the forms of interactions, we treat the double exponential coupling and the interactions derived from it: pulse coupling, exponential coupling, and alpha coupling. It is found that the bifurcation structure of the networks depends mainly on the decay time of the synaptic interaction and the effect of the rise time is smaller than that of the decay time.

journal_name

Neural Comput

journal_title

Neural computation

authors

Kanamaru T,Sekine M

doi

10.1162/0899766053630387

subject

Has Abstract

pub_date

2005-06-01 00:00:00

pages

1315-38

issue

6

eissn

0899-7667

issn

1530-888X

journal_volume

17

pub_type

杂志文章
  • A theory of slow feature analysis for transformation-based input signals with an application to complex cells.

    abstract::We develop a group-theoretical analysis of slow feature analysis for the case where the input data are generated by applying a set of continuous transformations to static templates. As an application of the theory, we analytically derive nonlinear visual receptive fields and show that their optimal stimuli, as well as...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00072

    authors: Sprekeler H,Wiskott L

    更新日期:2011-02-01 00:00:00

  • Binocular receptive field models, disparity tuning, and characteristic disparity.

    abstract::Disparity tuning of visual cells in the brain depends on the structure of their binocular receptive fields (RFs). Freeman and coworkers have found that binocular RFs of a typical simple cell can be quantitatively described by two Gabor functions with the same gaussian envelope but different phase parameters in the sin...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.1996.8.8.1611

    authors: Zhu YD,Qian N

    更新日期:1996-11-15 00:00:00

  • A Reservoir Computing Model of Reward-Modulated Motor Learning and Automaticity.

    abstract::Reservoir computing is a biologically inspired class of learning algorithms in which the intrinsic dynamics of a recurrent neural network are mined to produce target time series. Most existing reservoir computing algorithms rely on fully supervised learning rules, which require access to an exact copy of the target re...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco_a_01198

    authors: Pyle R,Rosenbaum R

    更新日期:2019-07-01 00:00:00

  • Multispike interactions in a stochastic model of spike-timing-dependent plasticity.

    abstract::Recently we presented a stochastic, ensemble-based model of spike-timing-dependent plasticity. In this model, single synapses do not exhibit plasticity depending on the exact timing of pre- and postsynaptic spikes, but spike-timing-dependent plasticity emerges only at the temporal or synaptic ensemble level. We showed...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2007.19.5.1362

    authors: Appleby PA,Elliott T

    更新日期:2007-05-01 00:00:00

  • Sparse coding on the spot: spontaneous retinal waves suffice for orientation selectivity.

    abstract::Ohshiro, Hussain, and Weliky (2011) recently showed that ferrets reared with exposure to flickering spot stimuli, in the absence of oriented visual experience, develop oriented receptive fields. They interpreted this as refutation of efficient coding models, which require oriented input in order to develop oriented re...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00333

    authors: Hunt JJ,Ibbotson M,Goodhill GJ

    更新日期:2012-09-01 00:00:00

  • General Poisson exact breakdown of the mutual information to study the role of correlations in populations of neurons.

    abstract::We present an integrative formalism of mutual information expansion, the general Poisson exact breakdown, which explicitly evaluates the informational contribution of correlations in the spike counts both between and within neurons. The formalism was validated on simulated data and applied to real neurons recorded fro...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2010.04-09-989

    authors: Scaglione A,Moxon KA,Foffani G

    更新日期:2010-06-01 00:00:00

  • Delay Differential Analysis of Seizures in Multichannel Electrocorticography Data.

    abstract::High-density electrocorticogram (ECoG) electrodes are capable of recording neurophysiological data with high temporal resolution with wide spatial coverage. These recordings are a window to understanding how the human brain processes information and subsequently behaves in healthy and pathologic states. Here, we descr...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco_a_01009

    authors: Lainscsek C,Weyhenmeyer J,Cash SS,Sejnowski TJ

    更新日期:2017-12-01 00:00:00

  • Modeling short-term synaptic depression in silicon.

    abstract::We describe a model of short-term synaptic depression that is derived from a circuit implementation. The dynamics of this circuit model is similar to the dynamics of some theoretical models of short-term depression except that the recovery dynamics of the variable describing the depression is nonlinear and it also dep...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976603762552942

    authors: Boegerhausen M,Suter P,Liu SC

    更新日期:2003-02-01 00:00:00

  • Bias/Variance Decompositions for Likelihood-Based Estimators.

    abstract::The bias/variance decomposition of mean-squared error is well understood and relatively straightforward. In this note, a similar simple decomposition is derived, valid for any kind of error measure that, when using the appropriate probability model, can be derived from a Kullback-Leibler divergence or log-likelihood. ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976698300017232

    authors: Heskes T

    更新日期:1998-07-28 00:00:00

  • A first-order nonhomogeneous Markov model for the response of spiking neurons stimulated by small phase-continuous signals.

    abstract::We present a first-order nonhomogeneous Markov model for the interspike-interval density of a continuously stimulated spiking neuron. The model allows the conditional interspike-interval density and the stationary interspike-interval density to be expressed as products of two separate functions, one of which describes...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2009.06-07-548

    authors: Tapson J,Jin C,van Schaik A,Etienne-Cummings R

    更新日期:2009-06-01 00:00:00

  • Learning only when necessary: better memories of correlated patterns in networks with bounded synapses.

    abstract::Learning in a neuronal network is often thought of as a linear superposition of synaptic modifications induced by individual stimuli. However, since biological synapses are naturally bounded, a linear superposition would cause fast forgetting of previously acquired memories. Here we show that this forgetting can be av...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/0899766054615644

    authors: Senn W,Fusi S

    更新日期:2005-10-01 00:00:00

  • A Resource-Allocating Network for Function Interpolation.

    abstract::We have created a network that allocates a new computational unit whenever an unusual pattern is presented to the network. This network forms compact representations, yet learns easily and rapidly. The network can be used at any time in the learning process and the learning patterns do not have to be repeated. The uni...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.1991.3.2.213

    authors: Platt J

    更新日期:1991-07-01 00:00:00

  • Distributed control of uncertain systems using superpositions of linear operators.

    abstract::Control in the natural environment is difficult in part because of uncertainty in the effect of actions. Uncertainty can be due to added motor or sensory noise, unmodeled dynamics, or quantization of sensory feedback. Biological systems are faced with further difficulties, since control must be performed by networks o...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00151

    authors: Sanger TD

    更新日期:2011-08-01 00:00:00

  • Computing sparse representations of multidimensional signals using Kronecker bases.

    abstract::Recently there has been great interest in sparse representations of signals under the assumption that signals (data sets) can be well approximated by a linear combination of few elements of a known basis (dictionary). Many algorithms have been developed to find such representations for one-dimensional signals (vectors...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00385

    authors: Caiafa CF,Cichocki A

    更新日期:2013-01-01 00:00:00

  • A sensorimotor map: modulating lateral interactions for anticipation and planning.

    abstract::Experimental studies of reasoning and planned behavior have provided evidence that nervous systems use internal models to perform predictive motor control, imagery, inference, and planning. Classical (model-free) reinforcement learning approaches omit such a model; standard sensorimotor models account for forward and ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976606776240995

    authors: Toussaint M

    更新日期:2006-05-01 00:00:00

  • Simultaneous rate-synchrony codes in populations of spiking neurons.

    abstract::Firing rates and synchronous firing are often simultaneously relevant signals, and they independently or cooperatively represent external sensory inputs, cognitive events, and environmental situations such as body position. However, how rates and synchrony comodulate and which aspects of inputs are effectively encoded...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976606774841521

    authors: Masuda N

    更新日期:2006-01-01 00:00:00

  • Parameter Sensitivity of the Elastic Net Approach to the Traveling Salesman Problem.

    abstract::Durbin and Willshaw's elastic net algorithm can find good solutions to the TSP. The purpose of this paper is to point out that for certain ranges of parameter values, the algorithm converges into local minima that do not correspond to valid tours. The key parameter is the ratio governing the relative strengths of the ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.1991.3.3.363

    authors: Simmen MW

    更新日期:1991-10-01 00:00:00

  • Mean First Passage Memory Lifetimes by Reducing Complex Synapses to Simple Synapses.

    abstract::Memory models that store new memories by forgetting old ones have memory lifetimes that are rather short and grow only logarithmically in the number of synapses. Attempts to overcome these deficits include "complex" models of synaptic plasticity in which synapses possess internal states governing the expression of syn...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00956

    authors: Elliott T

    更新日期:2017-06-01 00:00:00

  • Are loss functions all the same?

    abstract::In this letter, we investigate the impact of choosing different loss functions from the viewpoint of statistical learning theory. We introduce a convexity assumption, which is met by all loss functions commonly used in the literature, and study how the bound on the estimation error changes with the loss. We also deriv...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976604773135104

    authors: Rosasco L,De Vito E,Caponnetto A,Piana M,Verri A

    更新日期:2004-05-01 00:00:00

  • Alignment of coexisting cortical maps in a motor control model.

    abstract::How do multiple feature maps that coexist in the same region of cerebral cortex align with each other? We hypothesize that such alignment is governed by temporal correlations: features in one map that are temporally correlated with those in another come to occupy the same spatial locations in cortex over time. To exam...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.1996.8.4.731

    authors: Chen Y,Reggia JA

    更新日期:1996-05-15 00:00:00

  • Estimating functions of independent component analysis for temporally correlated signals.

    abstract::This article studies a general theory of estimating functions of independent component analysis when the independent source signals are temporarily correlated. Estimating functions are used for deriving both batch and on-line learning algorithms, and they are applicable to blind cases where spatial and temporal probab...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976600300015079

    authors: Amari S

    更新日期:2000-09-01 00:00:00

  • An integral upper bound for neural network approximation.

    abstract::Complexity of one-hidden-layer networks is studied using tools from nonlinear approximation and integration theory. For functions with suitable integral representations in the form of networks with infinitely many hidden units, upper bounds are derived on the speed of decrease of approximation error as the number of n...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2009.04-08-745

    authors: Kainen PC,Kůrková V

    更新日期:2009-10-01 00:00:00

  • Variations on the Theme of Synaptic Filtering: A Comparison of Integrate-and-Express Models of Synaptic Plasticity for Memory Lifetimes.

    abstract::Integrate-and-express models of synaptic plasticity propose that synapses integrate plasticity induction signals before expressing synaptic plasticity. By discerning trends in their induction signals, synapses can control destabilizing fluctuations in synaptic strength. In a feedforward perceptron framework with binar...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00889

    authors: Elliott T

    更新日期:2016-11-01 00:00:00

  • Bayesian active learning of neural firing rate maps with transformed gaussian process priors.

    abstract::A firing rate map, also known as a tuning curve, describes the nonlinear relationship between a neuron's spike rate and a low-dimensional stimulus (e.g., orientation, head direction, contrast, color). Here we investigate Bayesian active learning methods for estimating firing rate maps in closed-loop neurophysiology ex...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00615

    authors: Park M,Weller JP,Horwitz GD,Pillow JW

    更新日期:2014-08-01 00:00:00

  • Statistics of Visual Responses to Image Object Stimuli from Primate AIT Neurons to DNN Neurons.

    abstract::Under the goal-driven paradigm, Yamins et al. ( 2014 ; Yamins & DiCarlo, 2016 ) have shown that by optimizing only the final eight-way categorization performance of a four-layer hierarchical network, not only can its top output layer quantitatively predict IT neuron responses but its penultimate layer can also automat...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco_a_01039

    authors: Dong Q,Wang H,Hu Z

    更新日期:2018-02-01 00:00:00

  • Downstream Effect of Ramping Neuronal Activity through Synapses with Short-Term Plasticity.

    abstract::Ramping neuronal activity refers to spiking activity with a rate that increases quasi-linearly over time. It has been observed in multiple cortical areas and is correlated with evidence accumulation processes or timing. In this work, we investigated the downstream effect of ramping neuronal activity through synapses t...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00818

    authors: Wei W,Wang XJ

    更新日期:2016-04-01 00:00:00

  • Optimal sequential detection of stimuli from multiunit recordings taken in densely populated brain regions.

    abstract::We address the problem of detecting the presence of a recurring stimulus by monitoring the voltage on a multiunit electrode located in a brain region densely populated by stimulus reactive neurons. Published experimental results suggest that under these conditions, when a stimulus is present, the measurements are gaus...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00257

    authors: Nossenson N,Messer H

    更新日期:2012-04-01 00:00:00

  • Employing the zeta-transform to optimize the calculation of the synaptic conductance of NMDA and other synaptic channels in network simulations.

    abstract::Calculation of the total conductance change induced by multiple synapses at a given membrane compartment remains one of the most time-consuming processes in biophysically realistic neural network simulations. Here we show that this calculation can be achieved in a highly efficient way even for multiply converging syna...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976698300017061

    authors: Köhn J,Wörgötter F

    更新日期:1998-10-01 00:00:00

  • Correlational Neural Networks.

    abstract::Common representation learning (CRL), wherein different descriptions (or views) of the data are embedded in a common subspace, has been receiving a lot of attention recently. Two popular paradigms here are canonical correlation analysis (CCA)-based approaches and autoencoder (AE)-based approaches. CCA-based approaches...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00801

    authors: Chandar S,Khapra MM,Larochelle H,Ravindran B

    更新日期:2016-02-01 00:00:00

  • Mismatched training and test distributions can outperform matched ones.

    abstract::In learning theory, the training and test sets are assumed to be drawn from the same probability distribution. This assumption is also followed in practical situations, where matching the training and test distributions is considered desirable. Contrary to conventional wisdom, we show that mismatched training and test...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00697

    authors: González CR,Abu-Mostafa YS

    更新日期:2015-02-01 00:00:00