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Related papers: Threshold Noise as a Source of Volatility in Rando…

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We study the diversity of complex spatio-temporal patterns in the behavior of random synchronous asymmetric neural networks (RSANNs). Special attention is given to the impact of disordered threshold values on limit-cycle diversity and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Patrick C. McGuire , Henrik Bohr , John W. Clark , Robert Haschke , Chris Pershing , Johann Rafelski

Recurrent Neural networks (RNN) have shown promising potential for learning dynamics of sequential data. However, artificial neural networks are known to exhibit poor robustness in presence of input noise, where the sequential architecture…

Machine Learning · Computer Science 2021-05-05 Arash Amini , Guangyi Liu , Nader Motee

Chaos and Noise are ubiquitous in the Brain. Inspired by the chaotic firing of neurons and the constructive role of noise in neuronal models, we for the first time connect chaos, noise and learning. In this paper, we demonstrate Stochastic…

Neurons and Cognition · Quantitative Biology 2021-03-10 Harikrishnan NB , Nithin Nagaraj

Many modern applications of the artificial neural networks ensue large number of layers making traditional digital implementations increasingly complex. Optical neural networks offer parallel processing at high bandwidth, but have the…

Neural and Evolutionary Computing · Computer Science 2022-08-24 Egor Manuylovich , Diego Argüello Ron , Morteza Kamalian-Kopae , Sergei Turitsyn

Cortical sensory neurons are known to be highly variable, in the sense that responses evoked by identical stimuli often change dramatically from trial to trial. The origin of this variability is uncertain, but it is usually interpreted as…

Neurons and Cognition · Quantitative Biology 2007-05-23 Gleb Basalyga , Emilio Salinas

Neural networks are known to develop latent representations that are $aligned$, namely structurally similar across networks trained with different architectures, training protocols, or training datasets. We study this phenomenon in a…

Machine Learning · Statistics 2026-05-27 Ali Hussaini Umar , Alessandro Laio

In this work we study the detection of weak stimuli by spiking neurons in the presence of certain level of noisy background neural activity. Our study has focused in the realistic assumption that the synapses in the network present…

Neurons and Cognition · Quantitative Biology 2009-06-04 Jorge F. Mejias , Joaquin J. Torres

We study the effects of nonzero time delays in stochastic synchronization problems with linear couplings in an arbitrary network. Using the known exact threshold value from the theory of differential equations with delays, we provide the…

Statistical Mechanics · Physics 2015-03-17 D. Hunt , G. Korniss , B. K. Szymanski

The continuous interaction between brain regions "at rest" defines the so-called resting state networks (RSN) which can be reconstructed from the analysis of functional magnetic resonance imaging (fMRI) data. What dynamical mechanism allows…

Neurons and Cognition · Quantitative Biology 2012-08-10 Dante R. Chialvo , Daniel Fraiman

With the downscaling of MOSFETs to nanometer dimensions, transistor electrical parameter variability is produced by factors other than variations of physical dimensions and doping profiles, which are there since device fabrication and…

Applied Physics · Physics 2020-01-13 Gilson Wirth

The main objective of this work is to explore aspects of stochastic resonance (SR) in noisy bistable, symmetric systems driven by subthreshold periodic rectangular external signals possessing a large duty cycle of unity. Using a precise…

Statistical Mechanics · Physics 2016-08-16 Jesús Casado-Pascual , José Gómez-Ordóñez , Manuel Morillo , Peter Hänggi

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

Stochastic resonance is a non-linear phenomenon, in which the sensitivity of signal detectors can be enhanced by adding random noise to the detector input. Here, we demonstrate that noise can also improve the information flux in recurrent…

Neurons and Cognition · Quantitative Biology 2018-11-30 Patrick Krauss , Karin Prebeck , Achim Schilling , Claus Metzner

Recent advances in associative memory design through strutured pattern sets and graph-based inference algorithms have allowed the reliable learning and retrieval of an exponential number of patterns. Both these and classical associative…

Neural and Evolutionary Computing · Computer Science 2013-06-04 Amin Karbasi , Amir Hesam Salavati , Amin Shokrollahi , Lav Varshney

In recurrent neural networks (RNNs) used to model biological neural networks, noise is typically introduced during training to emulate biological variability and regularize learning. The expectation is that removing the noise at test time…

Neural and Evolutionary Computing · Computer Science 2026-01-09 Noah Eckstein , Manoj Srinivasan

Graph neural networks (GNNs) learn node representations by passing and aggregating messages between neighboring nodes. GNNs have been applied successfully in several application domains and achieved promising performance. However, GNNs…

Machine Learning · Computer Science 2021-12-14 Zeyu Zhang , Yulong Pei

Some systems cannot be predicted by classical theories and it is required the development of combined deterministic and stochastic theories that make used of noise for dynamical prediction. Noise is not always an interfering signal which…

Adaptation and Self-Organizing Systems · Physics 2019-05-14 Alexandra Pinto Castellanos

The robustness and anomaly detection capability of neural networks are crucial topics for their safe adoption in the real-world. Moreover, the over-parameterization of recent networks comes with high computational costs and raises questions…

Machine Learning · Computer Science 2022-07-12 Morgane Ayle , Bertrand Charpentier , John Rachwan , Daniel Zügner , Simon Geisler , Stephan Günnemann

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

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…

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