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Stochastic Processes

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New Results on Passivity Analysis of Stochastic Neural Networks with Time-Varying Delay and Leakage Delay.

Computational intelligence and neuroscience
The passivity problem for a class of stochastic neural networks systems (SNNs) with varying delay and leakage delay has been further studied in this paper. By constructing a more effective Lyapunov functional, employing the free-weighting matrix appr...

Towards dropout training for convolutional neural networks.

Neural networks : the official journal of the International Neural Network Society
Recently, dropout has seen increasing use in deep learning. For deep convolutional neural networks, dropout is known to work well in fully-connected layers. However, its effect in convolutional and pooling layers is still not clear. This paper demons...

Analysis of short-term heart rate and diastolic period variability using a refined fuzzy entropy method.

Biomedical engineering online
BACKGROUND: Heart rate variability (HRV) has been widely used in the non-invasive evaluation of cardiovascular function. Recent studies have also attached great importance to the cardiac diastolic period variability (DPV) examination. Short-term vari...

Learning Orthographic Structure With Sequential Generative Neural Networks.

Cognitive science
Learning the structure of event sequences is a ubiquitous problem in cognition and particularly in language. One possible solution is to learn a probabilistic generative model of sequences that allows making predictions about upcoming events. Though ...

Synchronization of Neural Networks With Control Packet Loss and Time-Varying Delay via Stochastic Sampled-Data Controller.

IEEE transactions on neural networks and learning systems
This paper addresses the problem of exponential synchronization of neural networks with time-varying delays. A sampled-data controller with stochastically varying sampling intervals is considered. The novelty of this paper lies in the fact that the c...

Eigenspectrum bounds for semirandom matrices with modular and spatial structure for neural networks.

Physical review. E, Statistical, nonlinear, and soft matter physics
The eigenvalue spectrum of the matrix of directed weights defining a neural network model is informative of several stability and dynamical properties of network activity. Existing results for eigenspectra of sparse asymmetric random matrices neglect...

Stochastic synchronization of neural activity waves.

Physical review. E, Statistical, nonlinear, and soft matter physics
We demonstrate that waves in distinct layers of a neuronal network can become phase locked by common spatiotemporal noise. This phenomenon is studied for stationary bumps, traveling waves, and breathers. A weak noise expansion is used to derive an ef...

Mean square delay dependent-probability-distribution stability analysis of neutral type stochastic neural networks.

ISA transactions
The aim of this manuscript is to investigate the mean square delay dependent-probability-distribution stability analysis of neutral type stochastic neural networks with time-delays. The time-delays are assumed to be interval time-varying and randomly...

A stochastic model for detecting overlapping and hierarchical community structure.

PloS one
Community detection is a fundamental problem in the analysis of complex networks. Recently, many researchers have concentrated on the detection of overlapping communities, where a vertex may belong to more than one community. However, most current me...

Robust stability of stochastic fuzzy delayed neural networks with impulsive time window.

Neural networks : the official journal of the International Neural Network Society
The urgent problem of impulsive moments which cannot be determined in advance brings new challenges beyond the conventional impulsive systems theory. In order to solve this problem, the novel concept of impulsive time window is proposed in this paper...