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Autonomous randomly coupled neural networks display a transition to chaos at a critical coupling strength. We here investigate the effect of a time-varying input on the onset of chaos and the resulting consequences for information…

Neurons and Cognition · Quantitative Biology 2018-11-21 Jannis Schuecker , Sven Goedeke , Moritz Helias

In the mammalian brain newly acquired memories depend on the hippocampus for maintenance and recall, but over time these functions are taken over by the neocortex through a process called systems consolidation. However, reactivation of a…

Neurons and Cognition · Quantitative Biology 2019-03-29 Peter Helfer , Thomas R. Shultz

Social movements, neurons in the brain or even industrial suppliers are best described by agents evolving on networks with basic interaction rules. In these real systems, the connectivity between agents corresponds to the a critical state…

Physics and Society · Physics 2007-05-23 Philippe Curty

Recent experimental studies indicate that synaptic changes induced by neuronal activity are discrete jumps between a small number of stable states. Learning in systems with discrete synapses is known to be a computationally hard problem.…

Neurons and Cognition · Quantitative Biology 2009-11-13 Carlo Baldassi , Alfredo Braunstein , Nicolas Brunel , Riccardo Zecchina

As a means of dynamically reconfiguring the synaptic weight of a superconducting optoelectronic loop neuron, a superconducting flux storage loop is inductively coupled to the synaptic current bias of the neuron. A standard flux memory cell…

In Hopfield-type associative memory models, memories are stored in the connectivity matrix and can be retrieved subsequently thanks to the collective dynamics of the network. In these models, the retrieval of a particular memory can be…

Neurons and Cognition · Quantitative Biology 2025-10-21 Marco Benedetti , Nicolas Brunel , Enzo Marinari , Ulises Pereira Obilinovic

Most normative models in computational neuroscience describe the task of learning as the optimisation of a cost function with respect to a set of parameters. However, learning as optimisation fails to account for a time varying environment…

Neurons and Cognition · Quantitative Biology 2020-08-10 Jannes Jegminat , Jean-Pascal Pfister

Adaptation plays a fundamental role in shaping the structure of a complex network and improving its functional fitting. Even when increasing the level of synchronization in a biological system is considered as the main driving force for…

Physics and Society · Physics 2018-04-11 Vanesa Avalos-Gaytán , J. A. Almendral , I. Leyva , F. Battiston , V. Nicosia , V. Latora , S. Boccaletti

We study the learning of an external signal by a neural network and the time to forget it when this network is submitted to noise. The presentation of an external stimulus to the recurrent network of binary neurons may change the state of…

Probability · Mathematics 2020-06-11 Pascal Helson

Memories are stored, retained, and recollected through complex, coupled processes operating on multiple timescales. To understand the computational principles behind these intricate networks of interactions we construct a broad class of…

Neurons and Cognition · Quantitative Biology 2015-07-29 Marcus K. Benna , Stefano Fusi

Networks of randomly connected neurons are among the most popular models in theoretical neuroscience. The connectivity between neurons in the cortex is however not fully random, the simplest and most prominent deviation from randomness…

Neurons and Cognition · Quantitative Biology 2018-07-09 Daniel Martí , Nicolas Brunel , Srdjan Ostojic

Neural networks are composed of neurons and synapses, which are responsible for learning in a slow adaptive dynamical process. Here we experimentally show that neurons act like independent anisotropic multiplex hubs, which relay and mute…

Neurons and Cognition · Quantitative Biology 2017-07-21 Roni Vardi , Amir Goldental , Anton Sheinin , Shira Sardi , Ido Kanter

Unraveling the interplay between connectivity and spatio-temporal dynamics in neuronal networks is a key step to advance our understanding of neuronal information processing. Here we investigate how particular features of network…

Neurons and Cognition · Quantitative Biology 2015-07-21 Michael T. Schaub , Yazan N. Billeh , Costas A. Anastassiou , Christof Koch , Mauricio Barahona

The potential for associative recall of diluted neuronal networks is investigated with respect to several biologically relevant configurations, more specifically the position of the cells along the input space and the spatial distribution…

Statistical Mechanics · Physics 2015-06-24 Luciano da Fontoura Costa , Dietrich Stauffer

The spiking activity of principal cells in mammalian hippocampus encodes an internalized neuronal representation of the ambient space---a cognitive map. Once learned, such a map enables the animal to navigate a given environment for a long…

Neurons and Cognition · Quantitative Biology 2017-10-10 Andrey Babichev , Dmitriy Morozov , Yuri Dabaghian

We study Hopfield networks with non-reciprocal coupling inducing switches between memory patterns. Dynamical phase transitions occur between phases of no memory retrieval, retrieval of multiple point-attractors, and limit-cycle attractors.…

Disordered Systems and Neural Networks · Physics 2025-10-21 Shuyue Xue , Mohammad Maghrebi , George I. Mias , Carlo Piermarocchi

When a neuron fires and the resulting action potential travels down its axon toward other neurons' dendrites, the effect on each of those neurons is mediated by the weight of the synapse that separates it from the firing neuron. This…

Neurons and Cognition · Quantitative Biology 2010-02-19 Andre Nathan , Valmir C. Barbosa

Leaky integrate-and-fire (LIF) models are mean-field limits, with a large number of neurons, used to describe neural networks. We consider inhomogeneous networks structured by a connec-tivity parameter (strengths of the synaptic weights)…

Neurons and Cognition · Quantitative Biology 2017-06-20 Benoît Perthame , Delphine Salort , Gilles Wainrib

Understanding how biological neural networks carry out learning using spike-based local plasticity mechanisms can lead to the development of powerful, energy-efficient, and adaptive neuromorphic processing systems. A large number of…

Neural and Evolutionary Computing · Computer Science 2022-11-08 Lyes Khacef , Philipp Klein , Matteo Cartiglia , Arianna Rubino , Giacomo Indiveri , Elisabetta Chicca

The ability of humans and animals to quickly adapt to novel tasks is difficult to reconcile with the standard paradigm of learning by slow synaptic weight modification. Here we show that fixed-weight neural networks can learn to generate…

Neurons and Cognition · Quantitative Biology 2020-08-26 Christian Klos , Yaroslav Felipe Kalle Kossio , Sven Goedeke , Aditya Gilra , Raoul-Martin Memmesheimer
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