Abstract:
:The new time-organized map (TOM) is presented for a better understanding of the self-organization and geometric structure of cortical signal representations. The algorithm extends the common self-organizing map (SOM) from the processing of purely spatial signals to the processing of spatiotemporal signals. The main additional idea of the TOM compared with the SOM is the functionally reasonable transfer of temporal signal distances into spatial signal distances in topographic neural representations. This is achieved by neural dynamics of propagating waves, allowing current and former signals to interact spatiotemporally in the neural network. Within a biologically plausible framework, the TOM algorithm (1) reveals how dynamic neural networks can self-organize to embed spatial signals in temporal context in order to realize functional meaningful invariances, (2) predicts time-organized representational structures in cortical areas representing signals with systematic temporal relation, and (3) suggests that the strength with which signals interact in the cortex determines the type of signal topology realized in topographic maps (e.g., spatially or temporally defined signal topology). Moreover, the TOM algorithm supports the explanation of topographic reorganizations based on time-to-space transformations (Wiemer, Spengler, Joublin, Stagge, & Wacquant, 2000).
journal_name
Neural Computjournal_title
Neural computationauthors
Wiemer JCdoi
10.1162/089976603765202695subject
Has Abstractpub_date
2003-05-01 00:00:00pages
1143-71issue
5eissn
0899-7667issn
1530-888Xjournal_volume
15pub_type
杂志文章abstract::Slightly modified versions of an early Hebbian/anti-Hebbian neural network are shown to be capable of extracting the sparse, independent linear components of a prefiltered natural image set. An explanation for this capability in terms of a coupling between two hypothetical networks is presented. The simple networks pr...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/089976606775093891
更新日期:2006-02-01 00:00:00
abstract::We present a reduction of a Hodgkin-Huxley (HH)--style bursting model to a hybridized integrate-and-fire (IF) formalism based on a thorough bifurcation analysis of the neuron's dynamics. The model incorporates HH--style equations to evolve the subthreshold currents and includes IF mechanisms to characterize spike even...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/089976603322518768
更新日期:2003-12-01 00:00:00
abstract::Generalized discriminant analysis (GDA) is an extension of the classical linear discriminant analysis (LDA) from linear domain to a nonlinear domain via the kernel trick. However, in the previous algorithm of GDA, the solutions may suffer from the degenerate eigenvalue problem (i.e., several eigenvectors with the same...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/089976604773717612
更新日期:2004-06-01 00:00:00
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
更新日期:1998-10-01 00:00:00
abstract::We derive analytically the solution for the output rate of the ideal coincidence detector. The solution is for an arbitrary number of input spike trains with identical binomial count distributions (which includes Poisson statistics as a special case) and identical arbitrary pairwise cross-correlations, from zero corre...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/089976603321192068
更新日期:2003-03-01 00:00:00
abstract::Although the commonly used quadratic Hebbian-anti-Hebbian rules lead to successful models of plasticity and learning, they are inconsistent with neurophysiology. Other rules, more physiologically plausible, fail to specify the biological mechanism of bidirectionality and the biological mechanism that prevents synapses...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/089976698300017629
更新日期:1998-04-01 00:00:00
abstract::A mathematical theory of interacting hypercolumns in primary visual cortex (V1) is presented that incorporates details concerning the anisotropic nature of long-range lateral connections. Each hypercolumn is modeled as a ring of interacting excitatory and inhibitory neural populations with orientation preferences over...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/089976602317250870
更新日期:2002-03-01 00:00:00
abstract::This article presents new procedures for multisite spatiotemporal neuronal data analysis. A new statistical model - the diffusion model - is considered, whose parameters can be estimated from experimental data thanks to mean-field approximations. This work has been applied to optical recording of the guinea pig's audi...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/089976600300015150
更新日期:2000-08-01 00:00:00
abstract::We consider the problem of training a linear feedforward neural network by using a gradient descent-like LMS learning algorithm. The objective is to find a weight matrix for the network, by repeatedly presenting to it a finite set of examples, so that the sum of the squares of the errors is minimized. Kohonen showed t...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/neco.1991.3.2.226
更新日期:1991-07-01 00:00:00
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
更新日期:2005-06-01 00:00:00
abstract::We perform a detailed fixed-point analysis of two-unit recurrent neural networks with sigmoid-shaped transfer functions. Using geometrical arguments in the space of transfer function derivatives, we partition the network state-space into distinct regions corresponding to stability types of the fixed points. Unlike in ...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/08997660152002898
更新日期:2001-06-01 00:00:00
abstract::A key problem in computational neuroscience is to find simple, tractable models that are nevertheless flexible enough to capture the response properties of real neurons. Here we examine the capabilities of recurrent point process models known as Poisson generalized linear models (GLMs). These models are defined by a s...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/neco_a_01021
更新日期:2017-12-01 00:00:00
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
更新日期:1999-10-01 00:00:00
abstract::The past decade has seen a rise of interest in Laplacian eigenmaps (LEMs) for nonlinear dimensionality reduction. LEMs have been used in spectral clustering, in semisupervised learning, and for providing efficient state representations for reinforcement learning. Here, we show that LEMs are closely related to slow fea...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/NECO_a_00214
更新日期:2011-12-01 00:00:00
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
更新日期:2015-02-01 00:00:00
abstract::Recent studies have employed simple linear dynamical systems to model trial-by-trial dynamics in various sensorimotor learning tasks. Here we explore the theoretical and practical considerations that arise when employing the general class of linear dynamical systems (LDS) as a model for sensorimotor learning. In this ...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/089976606775774651
更新日期:2006-04-01 00:00:00
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
更新日期:2016-04-01 00:00:00
abstract::Neuromorphic engineering combines the architectural and computational principles of systems neuroscience with semiconductor electronics, with the aim of building efficient and compact devices that mimic the synaptic and neural machinery of the brain. The energy consumptions promised by neuromorphic engineering are ext...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/NECO_a_00882
更新日期:2016-10-01 00:00:00
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
更新日期:2017-06-01 00:00:00
abstract::Observable operator models (OOMs) are a class of models for stochastic processes that properly subsumes the class that can be modeled by finite-dimensional hidden Markov models (HMMs). One of the main advantages of OOMs over HMMs is that they admit asymptotically correct learning algorithms. A series of learning algor...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/neco.2009.10-08-878
更新日期:2009-12-01 00:00:00
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
更新日期:2003-04-01 00:00:00
abstract::In this letter, we examine a general method of approximation, known as the Kikuchi approximation method, for finding the marginals of a product distribution, as well as the corresponding partition function. The Kikuchi approximation method defines a certain constrained optimization problem, called the Kikuchi problem,...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/0899766054026693
更新日期:2005-08-01 00:00:00
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
更新日期:2011-02-01 00:00:00
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
更新日期:1998-05-15 00:00:00
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
更新日期:2006-09-01 00:00:00
abstract::A necessary ingredient for a quantitative theory of neural coding is appropriate "spike kinematics": a precise description of spike trains. While summarizing experiments by complete spike time collections is clearly inefficient and probably unnecessary, the most common probabilistic model used in neurophysiology, the ...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/neco.2009.07-08-828
更新日期:2009-08-01 00:00:00
abstract::Pharmacologically isolated GABAergic irregular spiking and stuttering interneurons in the mouse visual cortex display highly irregular spike times, with high coefficients of variation approximately 0.9-3, in response to a depolarizing, constant current input. This is in marked contrast to cortical pyramidal cells, whi...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/neco.2008.20.1.44
更新日期:2008-01-01 00:00:00
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
更新日期:2007-01-01 00:00:00
abstract::Izhikevich (2003) proposed a new canonical neuron model of spike generation. The model was surprisingly simple yet able to accurately replicate the firing patterns of different types of cortical cell. Here, we derive a solution method that allows efficient simulation of the model. ...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/neco.2007.19.12.3216
更新日期:2007-12-01 00:00:00
abstract::We study the learning of an external signal by a neural network and the time to forget it when this network is submitted to noise. The presentation of an external stimulus to the recurrent network of binary neurons may change the state of the synapses. Multiple presentations of a unique signal lead to its learning. Th...
journal_title:Neural computation
pub_type: 杂志文章
doi:10.1162/neco_a_01286
更新日期:2020-07-01 00:00:00