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Neurons in the visual cortex are correlated in their variability. The presence of correlation impacts cortical processing because noise cannot be averaged out over many neurons. In an effort to understand the functional purpose of…

Machine Learning · Computer Science 2018-04-04 Shamak Dutta , Bryan Tripp , Graham Taylor

We present a deep neural network to reduce coherent noise in three-dimensional quantitative phase imaging. Inspired by the cycle generative adversarial network, the denoising network was trained to learn a transform between two image…

Neural correlations play a critical role in sensory information coding. They are of two kinds: signal correlations, when neurons have overlapping sensitivities, and noise correlations from network effects and shared noise. In experiments…

Neurons and Cognition · Quantitative Biology 2025-07-03 Gabriel Mahuas , Thomas Buffet , Olivier Marre , Ulisse Ferrari , Thierry Mora

A steadily increasing body of evidence suggests that the brain performs probabilistic inference to interpret and respond to sensory input and that trial-to-trial variability in neural activity plays an important role. The neural sampling…

Neurons and Cognition · Quantitative Biology 2017-07-07 Ilja Bytschok , Dominik Dold , Johannes Schemmel , Karlheinz Meier , Mihai A. Petrovici

The effects of a variable amount of random dilution of the synaptic couplings in Q-Ising multi-state neural networks with Hebbian learning are examined. A fraction of the couplings is explicitly allowed to be anti-Hebbian. Random dilution…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. Bolle , J. Busquets Blanco , T. Verbeiren

We report on both analytical and numerical results concerning stochastic Hopfield--like neural automata exhibiting the following (biologically inspired) features: (1) Neurons and synapses evolve in time as in contact with respective baths…

Statistical Mechanics · Physics 2007-05-23 J. J. Torres , J. Marro , P. L. Garrido , J. M. Cortes , F. Ramos , M. A. Munoz

Spontaneous cortical population activity exhibits a multitude of oscillatory patterns, which often display synchrony during slow-wave sleep or under certain anesthetics and stay asynchronous during quiet wakefulness. The mechanisms behind…

Neurons and Cognition · Quantitative Biology 2018-06-20 Rodrigo F. O. Pena , Michael A. Zaks , Antonio C. Roque

We study emerging phenomena in binary neural networks where, with a probability c synaptic intensities are chosen according with a Hebbian prescription, and with probability (1-c) there is an extra random contribution to synaptic weights.…

Disordered Systems and Neural Networks · Physics 2016-08-25 Ibon Recio , Joaquín J. Torres

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

Spiking neural networks (SNN) distinguish themselves from artificial neural networks (ANN) because of their inherent temporal processing and spike-based computations, enabling a power-efficient implementation in neuromorphic hardware. In…

Neural and Evolutionary Computing · Computer Science 2023-11-29 Lucas Deckers , Laurens Van Damme , Ing Jyh Tsang , Werner Van Leekwijck , Steven Latré

Neuronal membrane potentials fluctuate stochastically due to conductance changes caused by random transitions between the open and close states of ion channels. Although it has previously been shown that channel noise can nontrivially…

Neurons and Cognition · Quantitative Biology 2013-12-06 Brett A. Schmerl , Mark D. McDonnell

We theoretically describe how weak signals may be efficiently transmitted throughout more than one frequency range in noisy excitable media by kind of stochastic multiresonance. This serves us here to reinterpret recent experiments in…

Data Analysis, Statistics and Probability · Physics 2015-05-27 J. J. Torres , J. Marro , J. F. Mejias

We have calculated the key characteristics of associative (content-addressable) spatial-temporal memories based on neuromorphic networks with restricted connectivity - "CrossNets". Such networks may be naturally implemented in…

Neural and Evolutionary Computing · Computer Science 2017-07-14 Dmitri Gavrilov , Dmitri Strukov , Konstantin K. Likharev

Deep neural networks have incredible capacity and expressibility, and can seemingly memorize any training set. This introduces a problem when training in the presence of noisy labels, as the noisy examples cannot be distinguished from clean…

Machine Learning · Computer Science 2022-10-04 Daniel Shwartz , Uri Stern , Daphna Weinshall

A recurrent neural net is described that learns a set of patterns in the presence of noise. The learning rule is of Hebbian type, and, if noise would be absent during the learning process, the resulting final values of the weights would…

Disordered Systems and Neural Networks · Physics 2009-11-07 W A van Leeuwen , B Wemmenhove

Recent studies have shown that Convolutional Neural Networks (CNNs) are vulnerable to a small perturbation of input called "adversarial examples". In this work, we propose a new feedforward CNN that improves robustness in the presence of…

Machine Learning · Computer Science 2016-02-26 Jonghoon Jin , Aysegul Dundar , Eugenio Culurciello

A recurrent neural network with noisy input is studied analytically, on the basis of a Discrete Time Master Equation. The latter is derived from a biologically realizable learning rule for the weights of the connections. In a numerical…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Heerema , W. A. van Leeuwen

The associative memory model is a typical neural network model, which can store discretely distributed fixed-point attractors as memory patterns. When the network stores the memory patterns extensively, however, the model has other…

Neurons and Cognition · Quantitative Biology 2014-11-27 Shin Murata , Yosuke Otsubo , Kenji Nagata , Masato Okada

How neurons integrate the myriad synaptic inputs scattered across their dendrites is a fundamental question in neuroscience. Multiple neurophysiological experiments have shown that dendritic non-linearities can have a strong influence on…

Neurons and Cognition · Quantitative Biology 2025-01-13 Clarissa Lauditi , Enrico M. Malatesta , Fabrizio Pittorino , Carlo Baldassi , Nicolas Brunel , Riccardo Zecchina

We investigate densely connected convolutional networks (DenseNets) and their extension with domain adversarial training for noise robust speech recognition. DenseNets are very deep, compact convolutional neural networks which have…

Computation and Language · Computer Science 2021-12-21 Chia Yu Li , Ngoc Thang Vu