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Stable memory with unstable synapses

Lee Susman, Naama Brenner, Omri Barak
2019 Nature Communications  
We find that homeostatic stabilization of fluctuations differentially affects different aspects of network connectivity.  ...  Specifically, memories stored as time-varying attractors of neural dynamics are more resilient to erosion than fixed-points.  ...  In 23 the Hopfield model was studied in the presence of ongoing STDP; it was found that unstructured noise inserted into the neural state could stabilize memories with anti-symmetric, but not with symmetric  ... 
doi:10.1038/s41467-019-12306-2 pmid:31570719 pmcid:PMC6768856 fatcat:ataanits2zhs5khy6rwiiszm3q

A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties

A. N. Burkitt
2006 Biological cybernetics  
Networks of integrate-and-fire neurons behave in a wide variety of ways and have been used to model a variety of neural, physiological, and psychological phenomena.  ...  Recent interest in the response of neurons to periodic input has in part arisen from the study of stochastic resonance, which is the noise-induced enhancement of the signalto-noise ratio.  ...  Acknowledgments The author thanks Hamish Meffin and David Grayden for a critical reading of the manuscript and detailed comments.  ... 
doi:10.1007/s00422-006-0082-8 pmid:16821035 fatcat:vqn4v6b6b5dlrchg3sydv2n6mi

Beyond mean field theory: statistical field theory for neural networks

Michael A Buice, Carson C Chow
2013 Journal of Statistical Mechanics: Theory and Experiment  
Mean field theories have been a stalwart for studying the dynamics of networks of coupled neurons. They are convenient because they are relatively simple and possible to analyze.  ...  However, classical mean field theory neglects the effects of fluctuations and correlations due to single neuron effects.  ...  Acknowledgments This research was supported by the Intramural Research Program of NIH/NIDDK.  ... 
doi:10.1088/1742-5468/2013/03/p03003 pmid:25243014 pmcid:PMC4169078 fatcat:m6vgzazz7zadpl5emkql6t4qrq

Neuro-Inspired Speech Recognition Based on Reservoir Computing [chapter]

Arfan Ghani
2010 Advances in Speech Recognition  
A detailed discussion about training of recurrent neural networks is provided by .  ...  The pre processing is done in order to remove the noise from a signal and then coefficients were extracted at the frame rate of 20 ms and analysis is done by windowing the speech data with a window size  ...  This book addresses a few of these applications.  ... 
doi:10.5772/10186 fatcat:ojsrto4ofraazaka7u76tt244i

Stable memory with unstable synapses [article]

Lee Susman, Naama Brenner, Omri Barak
2019 arXiv   pre-print
Motivated by these observations, we explore the possibility of memory storage within a global component of network connectivity, while individual connections fluctuate.  ...  Memory representations are stored as time-varying attractors in neural state-space and support associative retrieval of learned information.  ...  In [24] the Hopfield model was studied in the presence of ongoing STDP; it was found that unstructured noise inserted into the neural state could stabilize memories with anti-symmetric, but not with  ... 
arXiv:1808.00756v3 fatcat:nza4zaxyprgvlbfifb5zqyvowa

Mathematical Theories and Applications for Nonlinear Control Systems

Xue-Jun Xie, Ju H. Park, Hiroaki Mukaidani, Weihai Zhang
2019 Mathematical Problems in Engineering  
Wang studies adaptive synchronization for a class of uncertain delayed fractional-order Hopfield neural networks (FOHNNs) with external disturbances.  ...  Zhao entitled "Modeling and Stability Analysis for Markov Jump Networked Evolutionary Games" investigates the algebraic formulation and stability analysis for a class of Markov jump networked evolutionary  ...  The editors also wish to thank the anonymous reviewers for their careful reading of the manuscripts submitted to this special issue collection and their many insightful comments and suggestions.  ... 
doi:10.1155/2019/2065786 fatcat:qx66v5pu3fgo7ee4rt7rn6rcj4

Change-Based Inference in Attractor Nets: Linear Analysis

Reza Moazzezi, Peter Dayan
2010 Neural Computation  
This way of performing computations is fast, accurate, readily learnable, and robust to various forms of noise.  ...  We have recently suggested an alternative interpretation according to which computations are realized by systematic changes in the states of such networks over time.  ...  Acknowledgments This work was funded by the Gatsby Charitable Foundation. We are grateful to Jeff Beck for helpful discussions and comments.  ... 
doi:10.1162/neco_a_00051 pmid:20858130 fatcat:w36p5km4wjdgbpmvimcvoypb3m

Change-based inference in attractor nets: Linear analysis

Dayan Peter
2009 Frontiers in Systems Neuroscience  
This way of performing computations is fast, accurate, readily learnable, and robust to various forms of noise.  ...  We have recently suggested an alternative interpretation according to which computations are realized by systematic changes in the states of such networks over time.  ...  Acknowledgments This work was funded by the Gatsby Charitable Foundation. We are grateful to Jeff Beck for helpful discussions and comments.  ... 
doi:10.3389/conf.neuro.06.2009.03.020 fatcat:y6bkta2oxzardg34xmtlfpvqiu

Real-Time Computing Without Stable States: A New Framework for Neural Computation Based on Perturbations

Wolfgang Maass, Thomas Natschläger, Henry Markram
2002 Neural Computation  
A key challenge for neural modeling is to explain how a continuous stream of multi-modal input from a rapidly changing environment can be processed by stereotypical recurrent circuits of integrate-and-fire  ...  We propose a new computational model for real-time computing on time-varying input that provides an alternative to paradigms based on Turing machines or attractor neural networks.  ...  The work was supported by project # P15386 of the Austrian Science Fund, the NeuroCOLT project of the EU, the Office of Naval Research, HFSP, Dolfi & Ebner Center and the Edith Blum Foundation.  ... 
doi:10.1162/089976602760407955 pmid:12433288 fatcat:33ec7g6kojg3tdteeae3cjzumq

Sequential Activity in Asymmetrically Coupled Winner-Take-All Circuits

Hesham Mostafa, Giacomo Indiveri
2014 Neural Computation  
Understanding the sequence generation and learning mechanisms used by recurrent neural networks in the nervous system is an important problem that has been studied extensively.  ...  Understanding the sequence generation and learning mechanisms used by recurrent neural networks in the nervous system is an important problem that has been studied extensively.  ...  Acknowledgments This work was supported by the European CHIST-ERA program, via the Plasticity in NEUral Memristive Architectures project and by the European Research Council, via the Neuromorphic Processors  ... 
doi:10.1162/neco_a_00619 pmid:24877737 fatcat:2y43r6pozvd2jl3uouti7bv5ce

Poisson Stability in Symmetrical Impulsive Shunting Inhibitory Cellular Neural Networks with Generalized Piecewise Constant Argument

Marat Akhmet, Madina Tleubergenova, Roza Seilova, Zakhira Nugayeva
2022 Symmetry  
Finally, comparing impulsive shunting inhibitory cellular neural networks with former neural network models, we discuss the significance of the components of our model.  ...  The process is subdued to Poisson stable inputs, which cause the new type of recurrent signals.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/sym14091754 fatcat:2fw44ywd2jhx5jtzfcqp2qiq5a

Metastable dynamics of neural circuits and networks [article]

Braden A.W. Brinkman, Han Yan, Arianna Maffei, Il Memming Park, Alfredo Fontanini, Jin Wang, Giancarlo La Camera
2021 arXiv   pre-print
a variety of neural signals, and (iii) recent neural network approaches, informed by experimental results, to model the emergence of metastable dynamics.  ...  Cortical neurons emit seemingly erratic trains of action potentials, or "spikes", and neural network dynamics emerge from the coordinated spiking activity within neural circuits.  ...  by the National Natural Science Foundation of China under award number NSFC 21721003 (HY).  ... 
arXiv:2110.03025v2 fatcat:fzzryumjjrc2royxs22uf2ylxu

A Dynamical Systems Hypothesis of Schizophrenia

Marco Loh, Edmund T. Rolls, Gustavo Deco
2007 PLoS Computational Biology  
In integrate-and-fire network simulations, a decrease in the NMDA receptor conductances, which reduces the depth of the attractor basins, decreases the stability of short-term memory states and increases  ...  We show that a reduced depth in the basins of attraction of cortical attractor states destabilizes the activity at the network level due to the constant statistical fluctuations caused by the stochastic  ...  GD contributed reagents/materials/analysis tools. The authors shared the research. Funding. ML was supported by the Boehringer Ingelheim Fonds.  ... 
doi:10.1371/journal.pcbi.0030228 pmid:17997599 pmcid:PMC2065887 fatcat:3n6ey3cfcbg45ab456dfroubpy

Boolean Network Approach to Negative Feedback Loops of the p53 Pathways: Synchronized Dynamics and Stochastic Limit Cycles [article]

Hao Ge, Min Qian
2009 arXiv   pre-print
attracted to a closed cycle of the p53 dynamics after being perturbed by outside signal (e.g.  ...  Our theoretical and numerical studies show that both the biological stationary state and the biological oscillation after being perturbed are stable for a wide range of noise level.  ...  Acknowledgement The authors would like to thank Professor Minping Qian in Peking University for calling our attention to the p53 network.  ... 
arXiv:0904.2252v1 fatcat:2ny5zslcibbmtnnhle2ct6oe3q

Closed-Form Treatment of the Interactions between Neuronal Activity and Timing-Dependent Plasticity in Networks of Linear Neurons

Christoph Kolodziejski, Christian Tetzlaff, Florentin Wörgötter
2010 Frontiers in Computational Neuroscience  
Thus, here we develop for a linear differential Hebbian learning system a method by which we can analytically investigate the dynamics and stability of the connections in recurrent networks.  ...  Stability in networks with STDP  ...  analysIs of the network structures wIthout noIse First, we will investigate the structures, which we introduced in the beginning of this study, in the absence of noise.  ... 
doi:10.3389/fncom.2010.00134 pmid:21152348 pmcid:PMC2998049 fatcat:2jkn22fcpjfjbcfoujwq3vg3aa
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