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 its complexity. Starting from spike trains, our approach finds their causal state models (CSMs), the minimal hidden Markov models or stochastic automata capable of generating statistically identical time series. We then use these CSMs to objectively quantify both the generalizable structure and the idiosyncratic randomness of the spike train. Specifically, we show that the expected algorithmic information content (the information needed to describe the spike train exactly) can be split into three parts describing (1) the time-invariant structure (complexity) of the minimal spike-generating process, which describes the spike train statistically; (2) the randomness (internal entropy rate) of the minimal spike-generating process; and (3) a residual pure noise term not described by the minimal spike-generating process. We use CSMs to approximate each of these quantities. The CSMs are inferred nonparametrically from the data, making only mild regularity assumptions, via the causal state splitting reconstruction algorithm. The methods presented here complement more traditional spike train analyses by describing not only spiking probability and spike train entropy, but also the complexity of a spike train's structure. We demonstrate our approach using both simulated spike trains and experimental data recorded in rat barrel cortex during vibrissa stimulation.

journal_name

Neural Comput

journal_title

Neural computation

authors

Haslinger R,Klinkner KL,Shalizi CR

doi

10.1162/neco.2009.12-07-678

subject

Has Abstract

pub_date

2010-01-01 00:00:00

pages

121-57

issue

1

eissn

0899-7667

issn

1530-888X

journal_volume

22

pub_type

杂志文章
  • Positive Neural Networks in Discrete Time Implement Monotone-Regular Behaviors.

    abstract::We study the expressive power of positive neural networks. The model uses positive connection weights and multiple input neurons. Different behaviors can be expressed by varying the connection weights. We show that in discrete time and in the absence of noise, the class of positive neural networks captures the so-call...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00789

    authors: Ameloot TJ,Van den Bussche J

    更新日期:2015-12-01 00:00:00

  • A semiparametric Bayesian model for detecting synchrony among multiple neurons.

    abstract::We propose a scalable semiparametric Bayesian model to capture dependencies among multiple neurons by detecting their cofiring (possibly with some lag time) patterns over time. After discretizing time so there is at most one spike at each interval, the resulting sequence of 1s (spike) and 0s (silence) for each neuron ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00631

    authors: Shahbaba B,Zhou B,Lan S,Ombao H,Moorman D,Behseta S

    更新日期:2014-09-01 00:00:00

  • 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, ex...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/0899766053630387

    authors: Kanamaru T,Sekine M

    更新日期:2005-06-01 00:00:00

  • A general probability estimation approach for neural comp.

    abstract::We describe an analytical framework for the adaptations of neural systems that adapt its internal structure on the basis of subjective probabilities constructed by computation of randomly received input signals. A principled approach is provided with the key property that it defines a probability density model that al...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976600300015862

    authors: Khaikine M,Holthausen K

    更新日期:2000-02-01 00:00:00

  • Density-weighted Nyström method for computing large kernel eigensystems.

    abstract::The Nyström method is a well-known sampling-based technique for approximating the eigensystem of large kernel matrices. However, the chosen samples in the Nyström method are all assumed to be of equal importance, which deviates from the integral equation that defines the kernel eigenfunctions. Motivated by this observ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2008.11-07-651

    authors: Zhang K,Kwok JT

    更新日期:2009-01-01 00:00:00

  • 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

  • Design of charge-balanced time-optimal stimuli for spiking neuron oscillators.

    abstract::In this letter, we investigate the fundamental limits on how the interspike time of a neuron oscillator can be perturbed by the application of a bounded external control input (a current stimulus) with zero net electric charge accumulation. We use phase models to study the dynamics of neurons and derive charge-balance...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00643

    authors: Dasanayake IS,Li JS

    更新日期:2014-10-01 00:00:00

  • 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-f...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976699300016160

    authors: Campbell SR,Wang DL,Jayaprakash C

    更新日期:1999-10-01 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

  • 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

  • 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

  • Random embedding machines for pattern recognition.

    abstract::Real classification problems involve structured data that can be essentially grouped into a relatively small number of clusters. It is shown that, under a local clustering condition, a set of points of a given class, embedded in binary space by a set of randomly parameterized surfaces, is linearly separable from other...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976601753196012

    authors: Baram Y

    更新日期:2001-11-01 00:00:00

  • A neurocomputational approach to prepositional phrase attachment ambiguity resolution.

    abstract::A neurocomputational model based on emergent massively overlapping neural cell assemblies (CAs) for resolving prepositional phrase (PP) attachment ambiguity is described. PP attachment ambiguity is a well-studied task in natural language processing and is a case where semantics is used to determine the syntactic struc...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00290

    authors: Nadh K,Huyck C

    更新日期:2012-07-01 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

  • Spiking neural P systems with a generalized use of rules.

    abstract::Spiking neural P systems (SN P systems) are a class of distributed parallel computing devices inspired by spiking neurons, where the spiking rules are usually used in a sequential way (an applicable rule is applied one time at a step) or an exhaustive way (an applicable rule is applied as many times as possible at a s...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00665

    authors: Zhang X,Wang B,Pan L

    更新日期:2014-12-01 00:00:00

  • A unifying view of wiener and volterra theory and polynomial kernel regression.

    abstract::Volterra and Wiener series are perhaps the best-understood nonlinear system representations in signal processing. Although both approaches have enjoyed a certain popularity in the past, their application has been limited to rather low-dimensional and weakly nonlinear systems due to the exponential growth of the number...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2006.18.12.3097

    authors: Franz MO,Schölkopf B

    更新日期:2006-12-01 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

  • Topographic mapping of large dissimilarity data sets.

    abstract::Topographic maps such as the self-organizing map (SOM) or neural gas (NG) constitute powerful data mining techniques that allow simultaneously clustering data and inferring their topological structure, such that additional features, for example, browsing, become available. Both methods have been introduced for vectori...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00012

    authors: Hammer B,Hasenfuss A

    更新日期:2010-09-01 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

  • Inhibition and Excitation Shape Activity Selection: Effect of Oscillations in a Decision-Making Circuit.

    abstract::Decision making is a complex task, and its underlying mechanisms that regulate behavior, such as the implementation of the coupling between physiological states and neural networks, are hard to decipher. To gain more insight into neural computations underlying ongoing binary decision-making tasks, we consider a neural...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco_a_01185

    authors: Bose T,Reina A,Marshall JAR

    更新日期:2019-05-01 00:00:00

  • Statistical computer model analysis of the reciprocal and recurrent inhibitions of the Ia-EPSP in α-motoneurons.

    abstract::We simulate the inhibition of Ia-glutamatergic excitatory postsynaptic potential (EPSP) by preceding it with glycinergic recurrent (REN) and reciprocal (REC) inhibitory postsynaptic potentials (IPSPs). The inhibition is evaluated in the presence of voltage-dependent conductances of sodium, delayed rectifier potassium,...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00375

    authors: Gradwohl G,Grossman Y

    更新日期:2013-01-01 00:00:00

  • Analytical integrate-and-fire neuron models with conductance-based dynamics for event-driven simulation strategies.

    abstract::Event-driven simulation strategies were proposed recently to simulate integrate-and-fire (IF) type neuronal models. These strategies can lead to computationally efficient algorithms for simulating large-scale networks of neurons; most important, such approaches are more precise than traditional clock-driven numerical ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.2006.18.9.2146

    authors: Rudolph M,Destexhe A

    更新日期:2006-09-01 00:00:00

  • Discriminant component pruning. Regularization and interpretation of multi-layered back-propagation networks.

    abstract::Neural networks are often employed as tools in classification tasks. The use of large networks increases the likelihood of the task's being learned, although it may also lead to increased complexity. Pruning is an effective way of reducing the complexity of large networks. We present discriminant components pruning (D...

    journal_title:Neural computation

    pub_type: 杂志文章,评审

    doi:10.1162/089976699300016665

    authors: Koene RA,Takane Y

    更新日期:1999-04-01 00:00:00

  • Parameter learning for alpha integration.

    abstract::In pattern recognition, data integration is an important issue, and when properly done, it can lead to improved performance. Also, data integration can be used to help model and understand multimodal processing in the brain. Amari proposed α-integration as a principled way of blending multiple positive measures (e.g.,...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00445

    authors: Choi H,Choi S,Choe Y

    更新日期:2013-06-01 00:00:00

  • Maintaining Consistency of Spatial Information in the Hippocampal Network: A Combinatorial Geometry Model.

    abstract::Place cells in the rat hippocampus play a key role in creating the animal's internal representation of the world. During active navigation, these cells spike only in discrete locations, together encoding a map of the environment. Electrophysiological recordings have shown that the animal can revisit this map mentally ...

    journal_title:Neural computation

    pub_type: 信件

    doi:10.1162/NECO_a_00840

    authors: Dabaghian Y

    更新日期:2016-06-01 00:00:00

  • Oscillating Networks: Control of Burst Duration by Electrically Coupled Neurons.

    abstract::The pyloric network of the stomatogastric ganglion in crustacea is a central pattern generator that can produce the same basic rhythm over a wide frequency range. Three electrically coupled neurons, the anterior burster (AB) neuron and two pyloric dilator (PD) neurons, act as a pacemaker unit for the pyloric network. ...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco.1991.3.4.487

    authors: Abbott LF,Marder E,Hooper SL

    更新日期:1991-01-01 00:00:00

  • Changes in GABAB modulation during a theta cycle may be analogous to the fall of temperature during annealing.

    abstract::Changes in GABA modulation may underlie experimentally observed changes in the strength of synaptic transmission at different phases of the theta rhythm (Wyble, Linster, & Hasselmo, 1997). Analysis demonstrates that these changes improve sequence disambiguation by a neural network model of CA3. We show that in the fra...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/089976698300017539

    authors: Sohal VS,Hasselmo ME

    更新日期:1998-05-15 00:00:00

  • Simultaneous Estimation of Nongaussian Components and Their Correlation Structure.

    abstract::The statistical dependencies that independent component analysis (ICA) cannot remove often provide rich information beyond the linear independent components. It would thus be very useful to estimate the dependency structure from data. While such models have been proposed, they have usually concentrated on higher-order...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/neco_a_01006

    authors: Sasaki H,Gutmann MU,Shouno H,Hyvärinen A

    更新日期:2017-11-01 00:00:00

  • ParceLiNGAM: a causal ordering method robust against latent confounders.

    abstract::We consider learning a causal ordering of variables in a linear nongaussian acyclic model called LiNGAM. Several methods have been shown to consistently estimate a causal ordering assuming that all the model assumptions are correct. But the estimation results could be distorted if some assumptions are violated. In thi...

    journal_title:Neural computation

    pub_type: 杂志文章

    doi:10.1162/NECO_a_00533

    authors: Tashiro T,Shimizu S,Hyvärinen A,Washio T

    更新日期:2014-01-01 00:00:00