Synchrony and desynchrony in integrate-and-fire oscillators.

Abstract:

:Due to many experimental reports of synchronous neural activity in the brain, there is much interest in understanding synchronization in networks of neural oscillators and its potential for computing perceptual organization. Contrary to Hopfield and Herz (1995), we find that networks of locally coupled integrate-and-fire oscillators can quickly synchronize. Furthermore, we examine the time needed to synchronize such networks. We observe that these networks synchronize at times proportional to the logarithm of their size, and we give the parameters used to control the rate of synchronization. Inspired by locally excitatory globally inhibitory oscillator network (LEGION) dynamics with relaxation oscillators (Terman & Wang, 1995), we find that global inhibition can play a similar role of desynchronization in a network of integrate-and-fire oscillators. We illustrate that a LEGION architecture with integrate-and-fire oscillators can be similarly used to address image analysis.

journal_name

Neural Comput

journal_title

Neural computation

authors

Campbell SR,Wang DL,Jayaprakash C

doi

10.1162/089976699300016160

subject

Has Abstract

pub_date

1999-10-01 00:00:00

pages

1595-619

issue

7

eissn

0899-7667

issn

1530-888X

journal_volume

11

pub_type

杂志文章
  • Nonlinear complex-valued extensions of Hebbian learning: an essay.

    abstract::The Hebbian paradigm is perhaps the best-known unsupervised learning theory in connectionism. It has inspired wide research activity in the artificial neural network field because it embodies some interesting properties such as locality and the capability of being applicable to the basic weight-and-sum structure of ne...

    journal_title:Neural computation

    pub_type: 杂志文章,评审

    doi:10.1162/0899766053429381

    authors: Fiori S

    更新日期:2005-04-01 00:00:00

  • Learning Slowness in a Sparse Model of Invariant Feature Detection.

    abstract::Primary visual cortical complex cells are thought to serve as invariant feature detectors and to provide input to higher cortical areas. We propose a single model for learning the connectivity required by complex cells that integrates two factors that have been hypothesized to play a role in the development of invaria...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00743

    authors: Chandrapala TN,Shi BE

    更新日期:2015-07-01 00:00:00

  • Extraction of Synaptic Input Properties in Vivo.

    abstract::Knowledge of synaptic input is crucial for understanding synaptic integration and ultimately neural function. However, in vivo, the rates at which synaptic inputs arrive are high, so that it is typically impossible to detect single events. We show here that it is nevertheless possible to extract the properties of the ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00975

    authors: Puggioni P,Jelitai M,Duguid I,van Rossum MCW

    更新日期:2017-07-01 00:00:00

  • Nonlinear and noisy extension of independent component analysis: theory and its application to a pitch sensation model.

    abstract::In this letter, we propose a noisy nonlinear version of independent component analysis (ICA). Assuming that the probability density function (p. d. f.) of sources is known, a learning rule is derived based on maximum likelihood estimation (MLE). Our model involves some algorithms of noisy linear ICA (e. g., Bermond & ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/0899766052530866

    authors: Maeda S,Song WJ,Ishii S

    更新日期:2005-01-01 00:00:00

  • Multiple model-based reinforcement learning.

    abstract::We propose a modular reinforcement learning architecture for nonlinear, nonstationary control tasks, which we call multiple model-based reinforcement learning (MMRL). The basic idea is to decompose a complex task into multiple domains in space and time based on the predictability of the environmental dynamics. The sys...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976602753712972

    authors: Doya K,Samejima K,Katagiri K,Kawato M

    更新日期:2002-06-01 00:00:00

  • Conductance-based integrate-and-fire models.

    abstract::A conductance-based model of Na+ and K+ currents underlying action potential generation is introduced by simplifying the quantitative model of Hodgkin and Huxley (HH). If the time course of rate constants can be approximated by a pulse, HH equations can be solved analytically. Pulse-based (PB) models generate action p...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.1997.9.3.503

    authors: Destexhe A

    更新日期:1997-04-01 00:00:00

  • Connection topology selection in central pattern generators by maximizing the gain of information.

    abstract::A study of a general central pattern generator (CPG) is carried out by means of a measure of the gain of information between the number of available topology configurations and the output rhythmic activity. The neurons of the CPG are chaotic Hindmarsh-Rose models that cooperate dynamically to generate either chaotic o...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2007.19.4.974

    authors: Stiesberg GR,Reyes MB,Varona P,Pinto RD,Huerta R

    更新日期:2007-04-01 00:00:00

  • Neural integrator: a sandpile model.

    abstract::We investigated a model for the neural integrator based on hysteretic units connected by positive feedback. Hysteresis is assumed to emerge from the intrinsic properties of the cells. We consider the recurrent networks containing either bistable or multistable neurons. We apply our analysis to the oculomotor velocity-...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2008.12-06-416

    authors: Nikitchenko M,Koulakov A

    更新日期:2008-10-01 00:00:00

  • Selectivity and stability via dendritic nonlinearity.

    abstract::Inspired by recent studies regarding dendritic computation, we constructed a recurrent neural network model incorporating dendritic lateral inhibition. Our model consists of an input layer and a neuron layer that includes excitatory cells and an inhibitory cell; this inhibitory cell is activated by the pooled activiti...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2007.19.7.1798

    authors: Morita K,Okada M,Aihara K

    更新日期:2007-07-01 00:00:00

  • Similarity, connectionism, and the problem of representation in vision.

    abstract::A representational scheme under which the ranking between represented similarities is isomorphic to the ranking between the corresponding shape similarities can support perfectly correct shape classification because it preserves the clustering of shapes according to the natural kinds prevailing in the external world. ...

    journal_title:Neural computation

    pub_type: 杂志文章,评审

    doi:10.1162/neco.1997.9.4.701

    authors: Edelman S,Duvdevani-Bar S

    更新日期:1997-05-15 00:00:00

  • On the emergence of rules in neural networks.

    abstract::A simple associationist neural network learns to factor abstract rules (i.e., grammars) from sequences of arbitrary input symbols by inventing abstract representations that accommodate unseen symbol sets as well as unseen but similar grammars. The neural network is shown to have the ability to transfer grammatical kno...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976602320264079

    authors: Hanson SJ,Negishi M

    更新日期:2002-09-01 00:00:00

  • Scalable hybrid computation with spikes.

    abstract::We outline a hybrid analog-digital scheme for computing with three important features that enable it to scale to systems of large complexity: First, like digital computation, which uses several one-bit precise logical units to collectively compute a precise answer to a computation, the hybrid scheme uses several moder...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976602320263971

    authors: Sarpeshkar R,O'Halloran M

    更新日期:2002-09-01 00:00:00

  • Neutral stability, rate propagation, and critical branching in feedforward networks.

    abstract::Recent experimental and computational evidence suggests that several dynamical properties may characterize the operating point of functioning neural networks: critical branching, neutral stability, and production of a wide range of firing patterns. We seek the simplest setting in which these properties emerge, clarify...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00461

    authors: Cayco-Gajic NA,Shea-Brown E

    更新日期:2013-07-01 00:00:00

  • Optimality of Upper-Arm Reaching Trajectories Based on the Expected Value of the Metabolic Energy Cost.

    abstract::When we move our body to perform a movement task, our central nervous system selects a movement trajectory from an infinite number of possible trajectories under constraints that have been acquired through evolution and learning. Minimization of the energy cost has been suggested as a potential candidate for a constra...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00757

    authors: Taniai Y,Nishii J

    更新日期:2015-08-01 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

  • On the use of analytical expressions for the voltage distribution to analyze intracellular recordings.

    abstract::Different analytical expressions for the membrane potential distribution of membranes subject to synaptic noise have been proposed and can be very helpful in analyzing experimental data. However, all of these expressions are either approximations or limit cases, and it is not clear how they compare and which expressio...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2006.18.12.2917

    authors: Rudolph M,Destexhe A

    更新日期:2006-12-01 00:00:00

  • Time-varying perturbations can distinguish among integrate-to-threshold models for perceptual decision making in reaction time tasks.

    abstract::Several integrate-to-threshold models with differing temporal integration mechanisms have been proposed to describe the accumulation of sensory evidence to a prescribed level prior to motor response in perceptual decision-making tasks. An experiment and simulation studies have shown that the introduction of time-varyi...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2009.07-08-817

    authors: Zhou X,Wong-Lin K,Philip H

    更新日期:2009-08-01 00:00:00

  • Universal approximation depth and errors of narrow belief networks with discrete units.

    abstract::We generalize recent theoretical work on the minimal number of layers of narrow deep belief networks that can approximate any probability distribution on the states of their visible units arbitrarily well. We relax the setting of binary units (Sutskever & Hinton, 2008 ; Le Roux & Bengio, 2008 , 2010 ; Montúfar & Ay, 2...

    journal_title:Neural computation

    pub_type: 信件

    doi:10.1162/NECO_a_00601

    authors: Montúfar GF

    更新日期:2014-07-01 00:00:00

  • Robustness of connectionist swimming controllers against random variation in neural connections.

    abstract::The ability to achieve high swimming speed and efficiency is very important to both the real lamprey and its robotic implementation. In previous studies, we used evolutionary algorithms to evolve biologically plausible connectionist swimming controllers for a simulated lamprey. This letter investigates the robustness ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2007.19.6.1568

    authors: Or J

    更新日期:2007-06-01 00:00:00

  • Capturing the Forest but Missing the Trees: Microstates Inadequate for Characterizing Shorter-Scale EEG Dynamics.

    abstract::The brain is known to be active even when not performing any overt cognitive tasks, and often it engages in involuntary mind wandering. This resting state has been extensively characterized in terms of fMRI-derived brain networks. However, an alternate method has recently gained popularity: EEG microstate analysis. Pr...

    journal_title:Neural computation

    pub_type: 信件

    doi:10.1162/neco_a_01229

    authors: Shaw SB,Dhindsa K,Reilly JP,Becker S

    更新日期:2019-11-01 00:00:00

  • Generalization and selection of examples in feedforward neural networks.

    abstract::In this work, we study how the selection of examples affects the learning procedure in a boolean neural network and its relationship with the complexity of the function under study and its architecture. We analyze the generalization capacity for different target functions with particular architectures through an analy...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976600300014999

    authors: Franco L,Cannas SA

    更新日期:2000-10-01 00:00:00

  • Bayesian model assessment and comparison using cross-validation predictive densities.

    abstract::In this work, we discuss practical methods for the assessment, comparison, and selection of complex hierarchical Bayesian models. A natural way to assess the goodness of the model is to estimate its future predictive capability by estimating expected utilities. Instead of just making a point estimate, it is important ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/08997660260293292

    authors: Vehtari A,Lampinen J

    更新日期:2002-10-01 00:00:00

  • The Deterministic Information Bottleneck.

    abstract::Lossy compression and clustering fundamentally involve a decision about which features are relevant and which are not. The information bottleneck method (IB) by Tishby, Pereira, and Bialek ( 1999 ) formalized this notion as an information-theoretic optimization problem and proposed an optimal trade-off between throwin...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00961

    authors: Strouse DJ,Schwab DJ

    更新日期:2017-06-01 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

  • Supervised Determined Source Separation with Multichannel Variational Autoencoder.

    abstract::This letter proposes a multichannel source separation technique, the multichannel variational autoencoder (MVAE) method, which uses a conditional VAE (CVAE) to model and estimate the power spectrograms of the sources in a mixture. By training the CVAE using the spectrograms of training examples with source-class label...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco_a_01217

    authors: Kameoka H,Li L,Inoue S,Makino S

    更新日期:2019-09-01 00:00:00

  • Connecting cortical and behavioral dynamics: bimanual coordination.

    abstract::For the paradigmatic case of bimanual coordination, we review levels of organization of behavioral dynamics and present a description in terms of modes of behavior. We briefly review a recently developed model of spatiotemporal brain activity that is based on short- and long-range connectivity of neural ensembles. Thi...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976698300016954

    authors: Jirsa VK,Fuchs A,Kelso JA

    更新日期:1998-11-15 00:00:00

  • Bayesian Filtering with Multiple Internal Models: Toward a Theory of Social Intelligence.

    abstract::To exhibit social intelligence, animals have to recognize whom they are communicating with. One way to make this inference is to select among internal generative models of each conspecific who may be encountered. However, these models also have to be learned via some form of Bayesian belief updating. This induces an i...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco_a_01239

    authors: Isomura T,Parr T,Friston K

    更新日期:2019-12-01 00:00:00

  • Physiological gain leads to high ISI variability in a simple model of a cortical regular spiking cell.

    abstract::To understand the interspike interval (ISI) variability displayed by visual cortical neurons (Softky & Koch, 1993), it is critical to examine the dynamics of their neuronal integration, as well as the variability in their synaptic input current. Most previous models have focused on the latter factor. We match a simple...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.1997.9.5.971

    authors: Troyer TW,Miller KD

    更新日期:1997-07-01 00:00:00

  • Invariant global motion recognition in the dorsal visual system: a unifying theory.

    abstract::The motion of an object (such as a wheel rotating) is seen as consistent independent of its position and size on the retina. Neurons in higher cortical visual areas respond to these global motion stimuli invariantly, but neurons in early cortical areas with small receptive fields cannot represent this motion, not only...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2007.19.1.139

    authors: Rolls ET,Stringer SM

    更新日期:2007-01-01 00:00:00

  • Competition between synaptic depression and facilitation in attractor neural networks.

    abstract::We study the effect of competition between short-term synaptic depression and facilitation on the dynamic properties of attractor neural networks, using Monte Carlo simulation and a mean-field analysis. Depending on the balance of depression, facilitation, and the underlying noise, the network displays different behav...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2007.19.10.2739

    authors: Torres JJ,Cortes JM,Marro J,Kappen HJ

    更新日期:2007-10-01 00:00:00