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This paper targets the problem of encoding information into binary cell assemblies. Spiking neural networks and k-winners-take-all models are two common approaches, but the first is hard to use for information processing and the second is…

Neural and Evolutionary Computing · Computer Science 2021-08-03 Viacheslav Osaulenko , Danylo Ulianych

Auto-associative neural networks (e.g., the Hopfield model implementing the standard Hebbian prescription) serve as a foundational framework for pattern recognition and associative memory in statistical mechanics. However, their…

Disordered Systems and Neural Networks · Physics 2025-06-03 Elena Agliari , Andrea Alessandrelli , Adriano Barra , Martino Salomone Centonze , Federico Ricci-Tersenghi

In machine learning, error back-propagation in multi-layer neural networks (deep learning) has been impressively successful in supervised and reinforcement learning tasks. As a model for learning in the brain, however, deep learning has…

Machine Learning · Computer Science 2016-12-19 Thomas Mesnard , Wulfram Gerstner , Johanni Brea

Neural network models comprising elements which have exclusively excitatory or inhibitory synapses are capable of a wide range of dynamic behavior, including chaos. In this paper, a simple excitatory-inhibitory neural pair, which forms the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Sitabhra Sinha , Jayanta Basak

Adaptation plays a pivotal role in the evolution of natural and artificial complex systems, and in the determination of their functionality. Here, we investigate the impact of adaptive inter-layer processes on intra-layer synchronization in…

Adaptation and Self-Organizing Systems · Physics 2020-10-20 Ajay Deep Kachhvah , Xiangfeng Dai , Stefano Boccaletti , Sarika Jalan

The activity of neurons is correlated, and this correlation affects how the brain processes information. We study the neural circuit mechanisms of correlations by analyzing a network model characterized by strong and heterogeneous…

Neurons and Cognition · Quantitative Biology 2012-12-03 Alberto Bernacchia , Xiao-Jing Wang

In this work, we study the dynamic range in a neuronal network modelled by cellular automaton. We consider deterministic and non-deterministic rules to simulate electrical and chemical synapses. Chemical synapses have an intrinsic…

In spite of remarkable progress in machine learning techniques, the state-of-the-art machine learning algorithms often keep machines from real-time learning (online learning) due in part to computational complexity in parameter…

Neural and Evolutionary Computing · Computer Science 2017-11-27 Guhyun Kim , Vladimir Kornijcuk , Dohun Kim , Inho Kim , Jaewook Kim , Hyo Cheon Woo , Ji Hun Kim , Cheol Seong Hwang , Doo Seok Jeong

We study both analytically and numerically the effects of including refractory periods in the Hopfield model for associative memory. These periods are introduced in the dynamics of the network as thresholds that depend on the state of the…

Condensed Matter · Physics 2015-06-25 C. R. da Silva , F. A. Tamarit , E. M. F. Curado

The Hopfield model provides a paradigmatic framework for associative memory. Its classical implementation, based on the Hebbian learning rule, suffers from catastrophic forgetting: when one attempts storing too many patterns, the network…

Disordered Systems and Neural Networks · Physics 2026-03-11 Enzo Marinari , Saverio Rossi , Francesco Zamponi

Autoassociative networks were proposed in the 80's as simplified models of memory function in the brain, using recurrent connectivity with hebbian plasticity to store patterns of neural activity that can be later recalled. This type of…

Disordered Systems and Neural Networks · Physics 2011-11-10 Emilio Kropff , Alessandro Treves

We investigate a recently proposed model for cortical computation which performs relational inference. It consists of several interconnected, structurally equivalent populations of leaky integrate-and-fire (LIF) neurons, which are trained…

Neural and Evolutionary Computing · Computer Science 2017-03-21 Johannes Thiele , Peter Diehl , Matthew Cook

As well known, Hebb's learning traces its origin in Pavlov's Classical Conditioning, however, while the former has been extensively modelled in the past decades (e.g., by Hopfield model and countless variations on theme), as for the latter…

Disordered Systems and Neural Networks · Physics 2022-07-05 Elena Agliari , Miriam Aquaro , Adriano Barra , Alberto Fachechi , Chiara Marullo

Understanding how the complex connectivity structure of the brain shapes its information-processing capabilities is a long-standing question. By focusing on a paradigmatic architecture, we study how the neural activity of excitatory and…

Statistical Mechanics · Physics 2024-10-18 Giacomo Barzon , Daniel Maria Busiello , Giorgio Nicoletti

Recordings from area V4 of monkeys have revealed that when the focus of attention is on a visual stimulus within the receptive field of a cortical neuron, two distinct changes can occur: The firing rate of the neuron can change and there…

Neurons and Cognition · Quantitative Biology 2007-05-23 Paul H. E. Tiesinga , Jean-Marc Fellous , Emilio Salinas , Jorge V. Jose , Terrence J. Sejnowski

In neural network's Literature, Hebbian learning traditionally refers to the procedure by which the Hopfield model and its generalizations store archetypes (i.e., definite patterns that are experienced just once to form the synaptic…

Disordered Systems and Neural Networks · Physics 2024-02-21 Francesco Alemanno , Miriam Aquaro , Ido Kanter , Adriano Barra , Elena Agliari

A general scheme to realize a perceptron for hardware neural networks is presented, where multiple interconnections are achieved by a superposition of Schrodinger waves. Spatially patterned potentials process information by coupling…

Disordered Systems and Neural Networks · Physics 2015-06-22 T. Espinosa-Ortega , T. C. H. Liew

In this work we introduce a multi-species generalization of the Hopfield model for associative memory, where neurons are divided into groups and both inter-groups and intra-groups pair-wise interactions are considered, with different…

Disordered Systems and Neural Networks · Physics 2018-07-11 Elena Agliari , Danila Migliozzi , Daniele Tantari

Various neurophysiological and cognitive functions are based on transferring information between spiking neurons via a complex system of synaptic connections. In particular, the capacity of presynaptic inputs to influence the postsynaptic…

Neurons and Cognition · Quantitative Biology 2018-10-30 Y. Dabaghian

Striatal projection neurons form a sparsely-connected inhibitory network, and this arrangement may be essential for the appropriate temporal organization of behavior. Here we show that a simplified, sparse inhibitory network of…

Neurons and Cognition · Quantitative Biology 2016-06-29 David Angulo-Garcia , Joshua D. Berke , Alessandro Torcini
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