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The influence of a macroscopic time-dependent threshold on the retrieval process of three-state extremely diluted neural networks is examined. If the threshold is chosen appropriately in function of the noise and the pattern activity of the…

统计力学 · 物理学 2007-05-23 D. Bolle' , D. R. C. Dominguez , S. Amari

A complete self-control mechanism is proposed in the dynamics of neural networks through the introduction of a time-dependent threshold, determined in function of both the noise and the pattern activity in the network. Especially for…

统计力学 · 物理学 2009-10-31 D. R. C. Dominguez , D. Bolle

For the retrieval dynamics of sparsely coded attractor associative memory models with synaptic noise the inclusion of a macroscopic time-dependent threshold is studied. It is shown that if the threshold is chosen appropriately as a function…

无序系统与神经网络 · 物理学 2007-05-23 D. Bolle' , R. Heylen

The inclusion of a threshold in the dynamics of layered neural networks with variable activity is studied at arbitrary temperature. In particular, the effects on the retrieval quality of a self-controlled threshold obtained by forcing the…

无序系统与神经网络 · 物理学 2009-10-31 D. Bolle' , G. Massolo

A mechanism for self-organization of the degree of connectivity in model neural networks is studied. Network connectivity is regulated locally on the basis of an order parameter of the global dynamics which is estimated from an observable…

统计力学 · 物理学 2009-11-07 Stefan Bornholdt , Torsten Roehl

Dynamical criticality has been shown to enhance information processing in dynamical systems, and there is evidence for self-organized criticality in neural networks. A plausible mechanism for such self-organization is activity dependent…

适应与自组织系统 · 物理学 2012-09-18 Felix Droste , Anne-Ly Do , Thilo Gross

The mutual information, I, of the three-state neural network can be obtained exactly for the mean-field architecture, as a function of three macroscopic parameters: the overlap, the neural activity and the {\em activity-overlap}, i.e. the…

统计力学 · 物理学 2007-05-23 David R. Dominguez Carreta , Elka Korutcheva

Experimentally observed networks of interacting dynamical systems are inferred from recorded multivariate time series by evaluating a statistical measure of dependence, usually the cross-correlation coefficient, or mutual information. These…

数据分析、统计与概率 · 物理学 2017-07-03 Milan Palus

A massively recurrent neural network responds on one side to input stimuli and is autonomously active, on the other side, in the absence of sensory inputs. Stimuli and information processing depends crucially on the qualia of the…

无序系统与神经网络 · 物理学 2012-02-01 Dimitrije Markovic , Claudius Gros

We consider a collection of distributed units that interact with one another through the sending of messages. Each message carries a positive ($+1$) or negative ($-1$) tag and causes the receiving unit to send out messages as a function of…

神经元与认知 · 定量生物学 2017-01-12 Valmir C. Barbosa

The inclusion of a macroscopic adaptive threshold is studied for the retrieval dynamics of both layered feedforward and fully connected neural network models with synaptic noise. These two types of architectures require a different method…

无序系统与神经网络 · 物理学 2007-08-03 D. Bolle , R. Heylen

Social learning is defined as the ability of a population to aggregate information, a process which must crucially depend on the mechanisms of social interaction. Consumers choosing which product to buy, or voters deciding which option to…

物理与社会 · 物理学 2011-07-12 J. C. González-Avella , V. M. Eguíluz , M. Marsili , F. Vega-Redondo , M. San Miguel

Most nervous systems encode information about stimuli in the responding activity of large neuronal networks. This activity often manifests itself as dynamically coordinated sequences of action potentials. Since multiple electrode recordings…

神经元与认知 · 定量生物学 2011-11-09 Kristina Lisa Klinkner , Cosma Rohilla Shalizi , Marcelo F. Camperi

Sequence models assign probabilities to variable-length sequences such as natural language texts. The ability of sequence models to capture temporal dependence can be characterized by the temporal scaling of correlation and mutual…

机器学习 · 计算机科学 2019-05-13 Huitao Shen

Information measures are often used to assess the efficacy of neural networks, and learning rules can be derived through optimization procedures on such measures. In biological neural networks, computation is restricted by the amount of…

神经元与认知 · 定量生物学 2021-03-12 Dmytro Grytskyy , Renaud B. Jolivet

Random Threshold Networks (RTNs) are an idealized model of diluted, non symmetric spin glasses, neural networks or gene regulatory networks. RTNs also serve as an interesting general example of any coordinated causal system. Here we study…

定量方法 · 定量生物学 2009-01-14 M. Andrecut , D. Foster , H. Carteret , S. A. Kauffman

We derive a well-defined renormalized version of mutual information that allows to estimate the dependence between continuous random variables in the important case when one is deterministically dependent on the other. This is the situation…

机器学习 · 计算机科学 2021-05-26 Leopoldo Sarra , Andrea Aiello , Florian Marquardt

A class of dynamic threshold models is proposed, for describing the upset of collective actions in social networks. The agents of the network have to decide whether to undertake a certain action or not. They make their decision by comparing…

社会与信息网络 · 计算机科学 2016-05-23 Andrea Garulli , Antonio Giannitrapani

The inclusion of a macroscopic adaptive threshold is studied for the retrieval dynamics of layered feedforward neural network models with synaptic noise. It is shown that if the threshold is chosen appropriately as a function of the…

无序系统与神经网络 · 物理学 2007-05-23 D. Bolle , R. Heylen

Mutual information is fundamentally important for measuring statistical dependence between variables and for quantifying information transfer by signaling and communication mechanisms. It can, however, be challenging to evaluate for…

信息论 · 计算机科学 2014-07-29 Clive G. Bowsher , Margaritis Voliotis
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