An extended analytic expression for the membrane potential distribution of conductance-based synaptic noise.

Abstract:

:Synaptically generated subthreshold membrane potential (Vm) fluctuations can be characterized within the framework of stochastic calculus. It is possible to obtain analytic expressions for the steady-state Vm distribution, even in the case of conductance-based synaptic currents. However, as we show here, the analytic expressions obtained may substantially deviate from numerical solutions if the stochastic membrane equations are solved exclusively based on expectation values of differentials of the stochastic variables, hence neglecting the spectral properties of the underlying stochastic processes. We suggest a simple solution that corrects these deviations, leading to extended analytic expressions of the Vm distribution valid for a parameter regime that covers several orders of magnitude around physiologically realistic values. These extended expressions should enable finer characterization of the stochasticity of synaptic currents by analyzing experimentally recorded Vm distributions and may be applicable to other classes of stochastic processes as well.

journal_name

Neural Comput

journal_title

Neural computation

authors

Rudolph M,Destexhe A

doi

10.1162/0899766054796932

subject

Has Abstract

pub_date

2005-11-01 00:00:00

pages

2301-15

issue

11

eissn

0899-7667

issn

1530-888X

journal_volume

17

pub_type

杂志文章
  • Analyzing and Accelerating the Bottlenecks of Training Deep SNNs With Backpropagation.

    abstract::Spiking neural networks (SNNs) with the event-driven manner of transmitting spikes consume ultra-low power on neuromorphic chips. However, training deep SNNs is still challenging compared to convolutional neural networks (CNNs). The SNN training algorithms have not achieved the same performance as CNNs. In this letter...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco_a_01319

    authors: Chen R,Li L

    更新日期:2020-12-01 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

  • Online adaptive decision trees.

    abstract::Decision trees and neural networks are widely used tools for pattern classification. Decision trees provide highly localized representation, whereas neural networks provide a distributed but compact representation of the decision space. Decision trees cannot be induced in the online mode, and they are not adaptive to ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/0899766041336396

    authors: Basak J

    更新日期:2004-09-01 00:00:00

  • McCulloch-Pitts Brains and Pseudorandom Functions.

    abstract::In a pioneering classic, Warren McCulloch and Walter Pitts proposed a model of the central nervous system. Motivated by EEG recordings of normal brain activity, Chvátal and Goldsmith asked whether these dynamical systems can be engineered to produce trajectories that are irregular, disorderly, and apparently unpredict...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00841

    authors: Chvátal V,Goldsmith M,Yang N

    更新日期:2016-06-01 00:00:00

  • Neural coding: higher-order temporal patterns in the neurostatistics of cell assemblies.

    abstract::Recent advances in the technology of multiunit recordings make it possible to test Hebb's hypothesis that neurons do not function in isolation but are organized in assemblies. This has created the need for statistical approaches to detecting the presence of spatiotemporal patterns of more than two neurons in neuron sp...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976600300014872

    authors: Martignon L,Deco G,Laskey K,Diamond M,Freiwald W,Vaadia E

    更新日期:2000-11-01 00:00:00

  • Deficient GABAergic gliotransmission may cause broader sensory tuning in schizophrenia.

    abstract::We examined how the depression of intracortical inhibition due to a reduction in ambient GABA concentration impairs perceptual information processing in schizophrenia. A neural network model with a gliotransmission-mediated ambient GABA regulatory mechanism was simulated. In the network, interneuron-to-glial-cell and ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00519

    authors: Hoshino O

    更新日期:2013-12-01 00:00:00

  • Constraint on the number of synaptic inputs to a visual cortical neuron controls receptive field formation.

    abstract::To date, Hebbian learning combined with some form of constraint on synaptic inputs has been demonstrated to describe well the development of neural networks. The previous models revealed mathematically the importance of synaptic constraints to reproduce orientation selectivity in the visual cortical neurons, but biolo...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2009.04-08-752

    authors: Tanaka S,Miyashita M

    更新日期:2009-09-01 00:00:00

  • ISO learning approximates a solution to the inverse-controller problem in an unsupervised behavioral paradigm.

    abstract::In "Isotropic Sequence Order Learning" (pp. 831-864 in this issue), we introduced a novel algorithm for temporal sequence learning (ISO learning). Here, we embed this algorithm into a formal nonevaluating (teacher free) environment, which establishes a sensor-motor feedback. The system is initially guided by a fixed r...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/08997660360581930

    authors: Porr B,von Ferber C,Wörgötter F

    更新日期:2003-04-01 00:00:00

  • Dynamic Neural Turing Machine with Continuous and Discrete Addressing Schemes.

    abstract::We extend the neural Turing machine (NTM) model into a dynamic neural Turing machine (D-NTM) by introducing trainable address vectors. This addressing scheme maintains for each memory cell two separate vectors, content and address vectors. This allows the D-NTM to learn a wide variety of location-based addressing stra...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco_a_01060

    authors: Gulcehre C,Chandar S,Cho K,Bengio Y

    更新日期:2018-04-01 00:00:00

  • Formal modeling of robot behavior with learning.

    abstract::We present formal specification and verification of a robot moving in a complex network, using temporal sequence learning to avoid obstacles. Our aim is to demonstrate the benefit of using a formal approach to analyze such a system as a complementary approach to simulation. We first describe a classical closed-loop si...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00493

    authors: Kirwan R,Miller A,Porr B,Di Prodi P

    更新日期:2013-11-01 00:00:00

  • On the problem in model selection of neural network regression in overrealizable scenario.

    abstract::In considering a statistical model selection of neural networks and radial basis functions under an overrealizable case, the problem of unidentifiability emerges. Because the model selection criterion is an unbiased estimator of the generalization error based on the training error, this article analyzes the expected t...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976602760128090

    authors: Hagiwara K

    更新日期:2002-08-01 00:00:00

  • Feature selection in simple neurons: how coding depends on spiking dynamics.

    abstract::The relationship between a neuron's complex inputs and its spiking output defines the neuron's coding strategy. This is frequently and effectively modeled phenomenologically by one or more linear filters that extract the components of the stimulus that are relevant for triggering spikes and a nonlinear function that r...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2009.02-09-956

    authors: Famulare M,Fairhall A

    更新日期:2010-03-01 00:00:00

  • Enhanced stimulus encoding capabilities with spectral selectivity in inhibitory circuits by STDP.

    abstract::The ability to encode and transmit a signal is an essential property that must demonstrate many neuronal circuits in sensory areas in addition to any processing they may provide. It is known that an appropriate level of lateral inhibition, as observed in these areas, can significantly improve the encoding ability of a...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00100

    authors: Coulon A,Beslon G,Soula HA

    更新日期:2011-04-01 00:00:00

  • Machine Learning: Deepest Learning as Statistical Data Assimilation Problems.

    abstract::We formulate an equivalence between machine learning and the formulation of statistical data assimilation as used widely in physical and biological sciences. The correspondence is that layer number in a feedforward artificial network setting is the analog of time in the data assimilation setting. This connection has b...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco_a_01094

    authors: Abarbanel HDI,Rozdeba PJ,Shirman S

    更新日期:2018-08-01 00:00:00

  • Analysis of cluttered scenes using an elastic matching approach for stereo images.

    abstract::We present a system for the automatic interpretation of cluttered scenes containing multiple partly occluded objects in front of unknown, complex backgrounds. The system is based on an extended elastic graph matching algorithm that allows the explicit modeling of partial occlusions. Our approach extends an earlier sys...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2006.18.6.1441

    authors: Eckes C,Triesch J,von der Malsburg C

    更新日期:2006-06-01 00:00:00

  • Boosted mixture of experts: an ensemble learning scheme.

    abstract::We present a new supervised learning procedure for ensemble machines, in which outputs of predictors, trained on different distributions, are combined by a dynamic classifier combination model. This procedure may be viewed as either a version of mixture of experts (Jacobs, Jordan, Nowlan, & Hintnon, 1991), applied to ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976699300016737

    authors: Avnimelech R,Intrator N

    更新日期:1999-02-15 00:00:00

  • Computing with self-excitatory cliques: A model and an application to hyperacuity-scale computation in visual cortex.

    abstract::We present a model of visual computation based on tightly inter-connected cliques of pyramidal cells. It leads to a formal theory of cell assemblies, a specific relationship between correlated firing patterns and abstract functionality, and a direct calculation relating estimates of cortical cell counts to orientation...

    journal_title:Neural computation

    pub_type: 杂志文章,评审

    doi:10.1162/089976699300016782

    authors: Miller DA,Zucker SW

    更新日期:1999-01-01 00:00:00

  • Regularized neural networks: some convergence rate results.

    abstract::In a recent paper, Poggio and Girosi (1990) proposed a class of neural networks obtained from the theory of regularization. Regularized networks are capable of approximating arbitrarily well any continuous function on a compactum. In this paper we consider in detail the learning problem for the one-dimensional case. W...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.1995.7.6.1225

    authors: Corradi V,White H

    更新日期:1995-11-01 00:00:00

  • A computational model for rhythmic and discrete movements in uni- and bimanual coordination.

    abstract::Current research on discrete and rhythmic movements differs in both experimental procedures and theory, despite the ubiquitous overlap between discrete and rhythmic components in everyday behaviors. Models of rhythmic movements usually use oscillatory systems mimicking central pattern generators (CPGs). In contrast, m...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2008.03-08-720

    authors: Ronsse R,Sternad D,Lefèvre P

    更新日期:2009-05-01 00:00:00

  • Derivatives of logarithmic stationary distributions for policy gradient reinforcement learning.

    abstract::Most conventional policy gradient reinforcement learning (PGRL) algorithms neglect (or do not explicitly make use of) a term in the average reward gradient with respect to the policy parameter. That term involves the derivative of the stationary state distribution that corresponds to the sensitivity of its distributio...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2009.12-08-922

    authors: Morimura T,Uchibe E,Yoshimoto J,Peters J,Doya K

    更新日期:2010-02-01 00:00:00

  • Approximation by fully complex multilayer perceptrons.

    abstract::We investigate the approximation ability of a multilayer perceptron (MLP) network when it is extended to the complex domain. The main challenge for processing complex data with neural networks has been the lack of bounded and analytic complex nonlinear activation functions in the complex domain, as stated by Liouville...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976603321891846

    authors: Kim T,Adali T

    更新日期:2003-07-01 00:00:00

  • Generalization and multirate models of motor adaptation.

    abstract::When subjects adapt their reaching movements in the setting of a systematic force or visual perturbation, generalization of adaptation can be assessed psychophysically in two ways: by testing untrained locations in the work space at the end of adaptation (slow postadaptation generalization) or by determining the influ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00262

    authors: Tanaka H,Krakauer JW,Sejnowski TJ

    更新日期:2012-04-01 00:00:00

  • Spikernels: predicting arm movements by embedding population spike rate patterns in inner-product spaces.

    abstract::Inner-product operators, often referred to as kernels in statistical learning, define a mapping from some input space into a feature space. The focus of this letter is the construction of biologically motivated kernels for cortical activities. The kernels we derive, termed Spikernels, map spike count sequences into an...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/0899766053019944

    authors: Shpigelman L,Singer Y,Paz R,Vaadia E

    更新日期:2005-03-01 00:00:00

  • Kernels for longitudinal data with variable sequence length and sampling intervals.

    abstract::We develop several kernel methods for classification of longitudinal data and apply them to detect cognitive decline in the elderly. We first develop mixed-effects models, a type of hierarchical empirical Bayes generative models, for the time series. After demonstrating their utility in likelihood ratio classifiers (a...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00164

    authors: Lu Z,Leen TK,Kaye J

    更新日期:2011-09-01 00:00:00

  • NMDA Receptor Alterations After Mild Traumatic Brain Injury Induce Deficits in Memory Acquisition and Recall.

    abstract::Mild traumatic brain injury (mTBI) presents a significant health concern with potential persisting deficits that can last decades. Although a growing body of literature improves our understanding of the brain network response and corresponding underlying cellular alterations after injury, the effects of cellular disru...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco_a_01343

    authors: Gabrieli D,Schumm SN,Vigilante NF,Meaney DF

    更新日期:2021-01-01 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

  • Estimating spiking irregularities under changing environments.

    abstract::We considered a gamma distribution of interspike intervals as a statistical model for neuronal spike generation. A gamma distribution is a natural extension of the Poisson process taking the effect of a refractory period into account. The model is specified by two parameters: a time-dependent firing rate and a shape p...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2006.18.10.2359

    authors: Miura K,Okada M,Amari S

    更新日期:2006-10-01 00:00:00

  • Cortical spatiotemporal dimensionality reduction for visual grouping.

    abstract::The visual systems of many mammals, including humans, are able to integrate the geometric information of visual stimuli and perform cognitive tasks at the first stages of the cortical processing. This is thought to be the result of a combination of mechanisms, which include feature extraction at the single cell level ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00738

    authors: Cocci G,Barbieri D,Citti G,Sarti A

    更新日期:2015-06-01 00:00:00

  • The computational structure of spike trains.

    abstract::Neurons perform computations, and convey the results of those computations through the statistical structure of their output spike trains. Here we present a practical method, grounded in the information-theoretic analysis of prediction, for inferring a minimal representation of that structure and for characterizing it...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2009.12-07-678

    authors: Haslinger R,Klinkner KL,Shalizi CR

    更新日期:2010-01-01 00:00:00

  • Does high firing irregularity enhance learning?

    abstract::In this note, we demonstrate that the high firing irregularity produced by the leaky integrate-and-fire neuron with the partial somatic reset mechanism, which has been shown to be the most likely candidate to reflect the mechanism used in the brain for reproducing the highly irregular cortical neuron firing at high ra...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00090

    authors: Christodoulou C,Cleanthous A

    更新日期:2011-03-01 00:00:00