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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…

Statistical Mechanics · Physics 2009-10-31 D. R. C. Dominguez , D. Bolle

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…

Disordered Systems and Neural Networks · Physics 2007-08-03 D. Bolle , R. Heylen

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…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. Bolle , R. Heylen

A self-control mechanism for the dynamics of a three-state fully-connected neural network is studied through the introduction of a time-dependent threshold. The self-adapting threshold is a function of both the neural and the pattern…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. Bolle' , D. Dominguez Carreta

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…

Statistical Mechanics · Physics 2007-05-23 D. Bolle' , D. R. C. Dominguez , S. Amari

It is well known that a sparsely coded network in which the activity level is extremely low has intriguing equilibrium properties. In the present work, we study the dynamical properties of a neural network designed to store sparsely coded…

Disordered Systems and Neural Networks · Physics 2009-10-31 Katsunori Kitano , Toshio Aoyagi

We studied autoassociative networks in which synapses are noisy on a time scale much shorter that the one for the neuron dynamics. In our model a presynaptic noise causes postsynaptic depression as recently observed in neurobiological…

Neurons and Cognition · Quantitative Biology 2007-05-23 J. J. Torres , J. M. Cortes , J. Marro

Self-attention is a method of encoding sequences of vectors by relating these vectors to each-other based on pairwise similarities. These models have recently shown promising results for modeling discrete sequences, but they are non-trivial…

Computation and Language · Computer Science 2018-06-19 Matthias Sperber , Jan Niehues , Graham Neubig , Sebastian Stüker , Alex Waibel

We present for the first time an asymptotic convergence analysis of two time-scale stochastic approximation driven by "controlled" Markov noise. In particular, the faster and slower recursions have non-additive controlled Markov noise…

Machine Learning · Computer Science 2020-12-03 Prasenjit Karmakar

Real-world autonomous systems operate under uncertainty about both their pose and dynamics. Autonomous control systems must simultaneously perform estimation and control tasks to maintain robustness to changing dynamics or modeling errors.…

Systems and Control · Computer Science 2018-08-03 Patrick Slade , Zachary N. Sunberg , Mykel J. Kochenderfer

Problems with artificial neural networks originate from their deterministic nature and inevitable prior learnings, resulting in inadequate adaptability against unpredictable, abrupt environmental change. Here we show that a stochastically…

Disordered Systems and Neural Networks · Physics 2009-11-13 Naoki Asakawa , Yasushi Hotta , Teruo Kanki , Hitoshi Tabata , Tomoji Kawai

We study a simple extended model of oscillator neural networks capable of storing sparsely coded phase patterns, in which information is encoded both in the mean firing rate and in the timing of spikes. Applying the methods of statistical…

Disordered Systems and Neural Networks · Physics 2009-10-31 Masaki Nomura , Toshio Aoyagi

Sparse coding in learned dictionaries has been established as a successful approach for signal denoising, source separation and solving inverse problems in general. A dictionary learning method adapts an initial dictionary to a particular…

Machine Learning · Statistics 2012-10-18 Christian D. Sigg , Tomas Dikk , Joachim M. Buhmann

Neuromorphic chips embody computational principles operating in the nervous system, into microelectronic devices. In this domain it is important to identify computational primitives that theory and experiments suggest as generic and…

Neural and Evolutionary Computing · Computer Science 2015-06-18 Massimiliano Giulioni , Federico Corradi , Vittorio Dante , Paolo del Giudice

We study both analytically and numerically the effect of presynaptic noise on the transmission of information in attractor neural networks. The noise occurs on a very short-time scale compared to that for the neuron dynamics and it produces…

Neurons and Cognition · Quantitative Biology 2007-05-23 J. M. Cortes , J. J. Torres , J. Marro , P. L. Garrido , H. J. Kappen

Previous work showed that the collective activity of large neuronal networks can be tamed to remain near its critical point by a feedback control that maximizes the temporal correlations of the mean-field fluctuations. Since such…

Neurons and Cognition · Quantitative Biology 2023-03-29 Juliane T. Moraes , Eyisto J. Aguilar Trejo , Sabrina Camargo , Silvio C. Ferreira , Dante R. Chialvo

Humans learn and form memories in stochastic environments. Auto-associative memory systems model these processes by storing patterns and later recovering them from corrupted versions. Here, memories are learned by associating each pattern…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Qin He , Jing Shuang Li

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…

Adaptation and Self-Organizing Systems · Physics 2012-09-18 Felix Droste , Anne-Ly Do , Thilo Gross

The principle of adaptation in a noisy retrieval environment is extended here to a diluted attractor neural network of Q-state neurons trained with noisy data. The network is adapted to an appropriate noisy training overlap and training…

Disordered Systems and Neural Networks · Physics 2009-10-31 R. Erichsen , W. K. Theumann

We study the storage of multiple phase-coded patterns as stable dynamical attractors in recurrent neural networks with sparse connectivity. To determine the synaptic strength of existent connections and store the phase-coded patterns, we…

Neurons and Cognition · Quantitative Biology 2015-05-28 Siliva Scarpetta , Ferdinando Giacco , Antonio de Candia
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